Mastering Number Sense Practice Workbookwces.tomballisd.net/ourpages/auto/2015/8/23/... ·...

Dr Numsen

Mastering Number Sense

Practice Workbook

Doug Ray

www.academicmeet.com

© 2012

Dr Numsen – Mastering Number Sense – Practice Workbook Page 1

Contents

1 Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

2 Subtraction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

3 Multiplication. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

4 Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

5 Multiplying and Dividing Three Numbers . . . . 9

6 Multiplication and Division Mixed . . . . . . . . . . . . . 10

7 Multiplication by 11. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11



10 Roman Numerals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

11 Roman Numerals with Operations . . . . . . . . . . . . . 15

12 Place Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

13 Rounding Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

14 Expanded Notation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17


16 Remainders (division by 2) . . . . . . . . . . . . . . . . . . . . . . 19






22 Remainders (division by 11) . . . . . . . . . . . . . . . . . . . . 22

23 Remainders in general . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

24 Division with multiples . . . . . . . . . . . . . . . . . . . . . . . . . . 23

25 Adding Numbers in Sequence . . . . . . . . . . . . . . . . . . 23

26 Odd and Even Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 24

27 Squares (1-20) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

28 Square Roots (1-20) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26


30 Multiplying Two Numbers with Ones DigitsSum of 10, Same Tens Digits . . . . . . . . . . . . . . . . . . . . 28

31 Multiplying Two Digits Numbers (LOIF) . . . . . 29

32 Multiplying Two Numbers with Both Num-bers Close to and Greater Than 100 . . . . . . . . . . . 30

33 Multiplying Two Numbers with Both Num-bers Close to and Less Than 100 . . . . . . . . . . . . . . . 31

34 Squares (21-30) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

35 Square Roots (21-30). . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

36 Multiplying Two Numbers CenteredAround a Third Number (x10) . . . . . . . . . . . . . . . . . 33

37 Multiplying Two Numbers CenteredAround a Third Number (any) . . . . . . . . . . . . . . . . . 34

38 Difference of Two Squares. . . . . . . . . . . . . . . . . . . . . . . 34

39 Multiplying Two Numbers Ending in 5. . . . . . . . 35

40 Prime Numbers (how many?). . . . . . . . . . . . . . . . . . . 35

41 Prime Numbers (prev/next?). . . . . . . . . . . . . . . . . . . . 36

42 Positive Integral Divisors (how many?). . . . . . . . 36

43 Positive Integral Divisors (sum) . . . . . . . . . . . . . . . . 37

44 Greatest Common Divisor (GCD) . . . . . . . . . . . . . . 38

45 Least Common Multiple (LCM). . . . . . . . . . . . . . . . 38

46 Metric Conversions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

47 English Conversions – Length . . . . . . . . . . . . . . . . . . 40

48 English Conversions – Weight . . . . . . . . . . . . . . . . . . 40

49 English Conversions – Volume. . . . . . . . . . . . . . . . . . 41


50 English Conversions – Time. . . . . . . . . . . . . . . . . . . . . 41

51 English Conversions – Money. . . . . . . . . . . . . . . . . . . 42

52 Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

53 Sum of Consecutive Whole Numbers . . . . . . . . . . 43

54 Sum of Odd Whole Numbers . . . . . . . . . . . . . . . . . . . 43

55 Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44

56 Squares (31-40) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

57 Squares (41-50) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

58 Squares (51-60) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

59 Squares of Numbers Ending in 5 . . . . . . . . . . . . . . . 46

60 Cubes (1-12). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47

61 Common Fractions to Percents . . . . . . . . . . . . . . . . . 48

62 Changing Decimals, Percents, and Fractions . 49

63 Adding and Subtracting Decimals . . . . . . . . . . . . . 50

64 Multiplying and Dividing Decimals . . . . . . . . . . . . 51

65 Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

66 Adding and Subtracting Fractions withCommon Denominators . . . . . . . . . . . . . . . . . . . . . . . . . 53

67 Adding and Subtracting Fractions withDifferent Denominators. . . . . . . . . . . . . . . . . . . . . . . . . . 53

68 Special Fraction Sum: a/b + b/a. . . . . . . . . . . . . . . . 54

69 Special Fraction Sum: a/b + b/(a+b) . . . . . . . . . . 54

70 Multiplying Fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

71 Dividing Fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

72 Adding Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 57

73 Subtracting Mixed Numbers. . . . . . . . . . . . . . . . . . . . 58

74 Multiplying Mixed Numbers. . . . . . . . . . . . . . . . . . . . 59

75 Dividing Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . . . 60

76 Multiplying Mixed Numbers with SameWhole Number and Fractions Add to 1 . . . . . . . 61

77 Multiplying Mixed Numbers with SameFraction and Whole Numbers Whose Sumis a Multiple of the Denominator . . . . . . . . . . . . . . . 62

78 Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

79 Consumer Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

80 Square and Cubic Units . . . . . . . . . . . . . . . . . . . . . . . . . 65

81 Multiplication by 101 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66



84 Square Roots. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

85 Cube Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70

86 Percent Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71

87 Interest and Taxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

88 Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

89 Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74

90 Perimeter of Regular Polygons . . . . . . . . . . . . . . . . . 74

91 Interior and Exterior Angles. . . . . . . . . . . . . . . . . . . . 75

92 Angles of a Triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

93 Angles of a Right Triangle. . . . . . . . . . . . . . . . . . . . . . . 76

94 Area of a Right Triangle. . . . . . . . . . . . . . . . . . . . . . . . . 76

95 Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

96 Squares (polygon) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

97 Rectangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

98 Trapezoids. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79

99 Rhombuses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79

100 Parallelograms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80


101 Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

102 Cubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

103 Rectangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

104 Cylinders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82

105 Cones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82

106 Spheres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

107 Multiplication Redistribution. . . . . . . . . . . . . . . . . . . 83

108 Factorials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84

109 Higher Powers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84

110 Exponents and Operations . . . . . . . . . . . . . . . . . . . . . . 85

111 Order of Operations with Negatives . . . . . . . . . . . 85

112 a2 + (3a)2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

113 a2 + (2a)2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

114 Special Subtraction Problem. . . . . . . . . . . . . . . . . . . . 87

115 Probability with sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

116 Probability with dice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

117 Probability with coins. . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

118 Probability with cards . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

119 Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

120 Remainders with Operations . . . . . . . . . . . . . . . . . . . 90

121 Base Conversions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

122 Base 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92

123 Base 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92

124 Adding and Subtracting Bases. . . . . . . . . . . . . . . . . . 93

125 Multiplying Bases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93

126 Additive Inverses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

127 Multiplicative Inverses. . . . . . . . . . . . . . . . . . . . . . . . . . . 94

128 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95

129 Average . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95

130 Median. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96

131 Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96

132 Range . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97

133 Relatively Prime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97

134 Triangular Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98

135 Other Figurate Numbers . . . . . . . . . . . . . . . . . . . . . . . . 98

136 Greatest Integer / Least Integer . . . . . . . . . . . . . . . . 99

137 Repeating Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100

138 Solving for x. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101

139 Solving Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102

140 Slope and Intercepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103

141 Working with f(x) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

142 Estimations: Addition and Subtraction . . . . . . . 105

143 Estimations: Multiplication . . . . . . . . . . . . . . . . . . . . . 105

144 Estimations: 142857-type Problems. . . . . . . . . . . . 106

145 Estimations: Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106

146 Estimations: Exponents . . . . . . . . . . . . . . . . . . . . . . . . . 107

147 Estimations: Square Roots . . . . . . . . . . . . . . . . . . . . . . 107

148 Estimations: Working with pi . . . . . . . . . . . . . . . . . . 108


Preface

The Mastering Number Sense Practice Workbook is the perfect compliment to the two Mastering Number SenseWorkbooks, which contain all of the tricks to the problems found in this book. The goal behind the first two workbookswas to introduce the tricks to students in an organized manner so that they could have immediate success in NumberSense, regardless of the grade they are in or the level of Number Sense they have. In those workbooks, the focus was onthe tricks, and thus, there were limited practice problems–just enough to get the student comfortable with the tricks and tomaintain the skills learned in previous tricks.

This new volume expands on the philosophy that true Number Sense is achieved through practice. Here, amplepractice problems are provided for each of the tricks in the two Mastering Number Sense Workbooks. In fact, the practiceproblems from this book are presented in the same order as in the Mastering Number Sense Workbooks. This shouldmake it easy for students and teachers to find extra practice for the topics covered.

As always, suggestions and errors from the workbook are welcome. Please email me at [email protected] comments.

I hope you enjoy practicing with this workbook as you work your way to Mastering Number Sense!

Doug Rayc⃝ October 2012


1 Addition

1. 33 + 45 =

2. 35 + 88 =

3. 81 + 36 =

4. 18 + 30 =

5. 23 + 65 =

6. 39 + 28 =

7. 85 + 29 =

8. 35 + 89 =

9. 21 + 63 =

10. 30 + 41 =

11. 71 + 38 =

12. 91 + 94 =

13. 43 + 96 =

14. 28 + 57 =

15. 95 + 71 =

16. 18 + 15 =

17. 14 + 56 =

18. 59 + 85 =

19. 79 + 60 =

20. 84 + 76 =

21. 54 + 83 =

22. 76 + 22 =

23. 18 + 46 =

24. 38 + 63 =

25. 82 + 48 =

26. 908 + 312 =

27. 480 + 576 =

28. 107 + 926 =

29. 353 + 422 =

30. 646 + 377 =

31. 770 + 337 =

32. 669 + 578 =

33. 412 + 357 =

34. 600 + 911 =

35. 259 + 991 =

36. 580 + 228 =

37. 720 + 753 =

38. 512 + 303 =

39. 353 + 130 =

40. 152 + 843 =

41. 4940 + 1682 =

42. 5149 + 3832 =

43. 9673 + 8397 =

44. 8239 + 7785 =

45. 8681 + 7255 =

46. 2760 + 3029 =

47. 5008 + 8434 =

48. 4549 + 7501 =

49. 7725 + 9333 =

50. 5411 + 5581 =


2 Subtraction

1. 49 − 34 =

2. 62 − 44 =

3. 74 − 25 =

4. 32 − 23 =

5. 40 − 24 =

6. 63 − 56 =

7. 39 − 19 =

8. 38 − 11 =

9. 97 − 25 =

10. 54 − 25 =

11. 74 − 38 =

12. 42 − 16 =

13. 68 − 13 =

14. 97 − 30 =

15. 90 − 57 =

16. 58 − 51 =

17. 49 − 11 =

18. 31 − 25 =

19. 21 − 15 =

20. 25 − 18 =

21. 28 − 14 =

22. 57 − 35 =

23. 86 − 15 =

24. 81 − 44 =

25. 30 − 16 =

26. 795 − 368 =

27. 520 − 374 =

28. 925 − 462 =

29. 585 − 493 =

30. 745 − 732 =

31. 871 − 202 =

32. 136 − 14 =

33. 948 − 170 =

34. 847 − 644 =

35. 184 − 170 =

36. 129 − 76 =

37. 536 − 505 =

38. 539 − 47 =

39. 694 − 639 =

40. 295 − 41 =

41. 8681 − 8676 =

42. 1762 − 571 =

43. 7550 − 3071 =

44. 2044 − 1507 =

45. 6507 − 2807 =

46. 6169 − 486 =

47. 9174 − 6672 =

48. 5734 − 2241 =

49. 8764 − 4932 =

50. 7341 − 2263 =


3 Multiplication

1. 8 × 16 =

2. 14 × 8 =

3. 13 × 8 =

4. 4 × 16 =

5. 12 × 4 =

6. 18 × 6 =

7. 4 × 16 =

8. 6 × 6 =

9. 9 × 15 =

10. 18 × 4 =

11. 19 × 5 =

12. 5 × 15 =

13. 4 × 18 =

14. 15 × 6 =

15. 5 × 8 =

16. 7 × 6 =

17. 5 × 4 =

18. 6 × 15 =

19. 7 × 13 =

20. 14 × 4 =

21. 15 × 4 =

22. 4 × 18 =

23. 5 × 8 =

24. 9 × 4 =

25. 16 × 6 =

26. 120 × 40 =

27. 800 × 1000 =

28. 90 × 1000 =

29. 200 × 20 =

30. 800 × 70 =

31. 70 × 800 =

32. 90 × 300 =

33. 12000 × 60 =

34. 12000 × 40 =

35. 4000 × 50 =

36. 400 × 50 =

37. 40 × 12 =

38. 5000 × 1200 =

39. 2000 × 700 =

40. 1200 × 1000 =

41. 8000 × 300 =

42. 80 × 2 =

43. 300 × 800 =

44. 500 × 600 =

45. 40 × 30 =

46. 10000 × 90 =

47. 10000 × 7 =

48. 3000 × 100 =

49. 7000 × 70 =

50. 8000 × 3 =


4 Division

1. 76 ÷ 19 =

2. 98 ÷ 14 =

3. 60 ÷ 15 =

4. 121 ÷ 11 =

5. 64 ÷ 16 =

6. 112 ÷ 8 =

7. 63 ÷ 9 =

8. 70 ÷ 7 =

9. 120 ÷ 8 =

10. 44 ÷ 4 =

11. 68 ÷ 17 =

12. 119 ÷ 17 =

13. 119 ÷ 17 =

14. 40 ÷ 4 =

15. 104 ÷ 13 =

16. 144 ÷ 12 =

17. 75 ÷ 15 =

18. 102 ÷ 17 =

19. 80 ÷ 10 =

20. 35 ÷ 5 =

21. 96 ÷ 16 =

22. 112 ÷ 7 =

23. 76 ÷ 19 =

24. 121 ÷ 11 =

25. 60 ÷ 10 =

26. 77000 ÷ 110 =

27. 3600 ÷ 120 =

28. 800 ÷ 20 =

29. 120000 ÷ 400 =

30. 80000 ÷ 200 =

31. 3300 ÷ 110 =

32. 200 ÷ 4 =

33. 6000000 ÷ 500 =

34. 1400 ÷ 70 =

35. 140 ÷ 2 =

36. 3600 ÷ 30 =

37. 4200 ÷ 6 =

38. 3200 ÷ 8 =

39. 240 ÷ 8 =

40. 72000 ÷ 120 =

41. 96000 ÷ 8 =

42. 1500 ÷ 50 =

43. 800 ÷ 4 =

44. 220 ÷ 11 =

45. 6300 ÷ 90 =

46. 66000 ÷ 6 =

47. 55000 ÷ 50 =

48. 33000 ÷ 110 =

49. 360 ÷ 9 =

50. 60 ÷ 3 =


5 Multiplying and Dividing Three Numbers

1. 3 × 10 × 5 =

2. 9 × 10 × 5 =

3. 8 × 2 × 10 =

4. 3 × 7 × 12 =

5. 5 × 8 × 12 =

6. 2 × 12 × 7 =

7. 12 × 4 × 8 =

8. 8 × 3 × 7 =

9. 5 × 7 × 11 =

10. 8 × 12 × 5 =

11. 10 × 10 × 7 =

12. 4 × 5 × 10 =

13. 12 × 4 × 8 =

14. 4 × 8 × 7 =

15. 5 × 12 × 4 =

16. 5 × 5 × 10 =

17. 9 × 12 × 7 =

18. 11 × 4 × 11 =

19. 8 × 6 × 2 =

20. 9 × 8 × 11 =

21. 5 × 9 × 3 =

22. 10 × 9 × 8 =

23. 11 × 6 × 2 =

24. 10 × 8 × 9 =

25. 2 × 9 × 12 =

26. 60 ÷ 2 ÷ 3 =

27. 378 ÷ 9 ÷ 6 =

28. 315 ÷ 7 ÷ 5 =

29. 42 ÷ 2 ÷ 3 =

30. 54 ÷ 3 ÷ 6 =

31. 144 ÷ 4 ÷ 4 =

32. 384 ÷ 8 ÷ 6 =

33. 486 ÷ 9 ÷ 6 =

34. 180 ÷ 2 ÷ 9 =

35. 90 ÷ 3 ÷ 6 =

36. 154 ÷ 7 ÷ 2 =

37. 48 ÷ 2 ÷ 8 =

38. 132 ÷ 6 ÷ 2 =

39. 175 ÷ 7 ÷ 5 =

40. 24 ÷ 4 ÷ 3 =

41. 336 ÷ 7 ÷ 8 =

42. 81 ÷ 9 ÷ 3 =

43. 360 ÷ 8 ÷ 5 =

44. 48 ÷ 3 ÷ 4 =

45. 392 ÷ 8 ÷ 7 =

46. 108 ÷ 2 ÷ 6 =

47. 198 ÷ 6 ÷ 3 =

48. 192 ÷ 4 ÷ 6 =

49. 392 ÷ 7 ÷ 7 =

50. 162 ÷ 9 ÷ 9 =


6 Multiplication and Division Mixed

1. 36 × 9 ÷ 4 =

2. 2 × 63 ÷ 7 =

3. 2 × 45 ÷ 5 =

4. 3 × 63 ÷ 9 =

5. 5 × 42 ÷ 7 =

6. 24 × 3 ÷ 4 =

7. 56 × 12 ÷ 8 =

8. 21 × 7 ÷ 3 =

9. 30 × 6 ÷ 5 =

10. 36 × 9 ÷ 4 =

11. 20 × 10 ÷ 4 =

12. 12 × 54 ÷ 9 =

13. 27 × 9 ÷ 9 =

14. 56 × 5 ÷ 8 =

15. 12 × 11 ÷ 4 =

16. 8 × 10 ÷ 4 =

17. 64 × 2 ÷ 8 =

18. 3 × 48 ÷ 6 =

19. 81 × 12 ÷ 9 =

20. 3 × 40 ÷ 8 =

21. 48 × 3 ÷ 6 =

22. 35 × 2 ÷ 5 =

23. 8 × 12 ÷ 4 =

24. 63 × 12 ÷ 9 =

25. 4 × 30 ÷ 5 =

26. 5 × 56 ÷ 8 =

27. 10 × 18 ÷ 3 =

28. 8 × 7 ÷ 4 =

29. 9 × 40 ÷ 4 =

30. 4 × 12 ÷ 2 =

31. 32 × 4 ÷ 8 =

32. 7 × 96 ÷ 8 =

33. 45 × 12 ÷ 5 =

34. 11 × 4 ÷ 2 =

35. 45 × 11 ÷ 5 =

36. 7 × 30 ÷ 6 =

37. 10 × 5 ÷ 5 =

38. 4 × 81 ÷ 9 =

39. 7 × 18 ÷ 3 =

40. 11 × 42 ÷ 6 =

41. 3 × 14 ÷ 2 =

42. 24 × 7 ÷ 6 =

43. 35 × 4 ÷ 5 =

44. 24 × 5 ÷ 4 =

45. 54 × 8 ÷ 9 =

46. 25 × 8 ÷ 5 =

47. 6 × 2 ÷ 3 =

48. 12 × 10 ÷ 2 =

49. 12 × 70 ÷ 7 =

50. 32 × 3 ÷ 8 =


7 Multiplication by 11

1. 24 × 11 =

2. 61 × 11 =

3. 35 × 11 =

4. 95 × 11 =

5. 54 × 11 =

6. 11 × 93 =

7. 98 × 11 =

8. 91 × 11 =

9. 96 × 11 =

10. 38 × 11 =

11. 27 × 11 =

12. 36 × 11 =

13. 19 × 11 =

14. 14 × 11 =

15. 11 × 67 =

16. 11 × 82 =

17. 11 × 36 =

18. 11 × 34 =

19. 11 × 56 =

20. 47 × 11 =

21. 99 × 11 =

22. 33 × 11 =

23. 11 × 21 =

24. 52 × 11 =

25. 11 × 42 =

26. 16 × 11 =

27. 69 × 11 =

28. 41 × 11 =

29. 23 × 11 =

30. 43 × 11 =

31. 586 × 11 =

32. 274 × 11 =

33. 774 × 11 =

34. 396 × 11 =

35. 383 × 11 =

36. 11 × 937 =

37. 944 × 11 =

38. 882 × 11 =

39. 11 × 718 =

40. 872 × 11 =

41. 142 × 11 =

42. 169 × 11 =

43. 11 × 183 =

44. 564 × 11 =

45. 377 × 11 =

46. 11 × 402 =

47. 11 × 957 =

48. 215 × 11 =

49. 668 × 11 =

50. 955 × 11 =



1. 69 × 25 =

2. 25 × 32 =

3. 59 × 25 =

4. 25 × 18 =

5. 91 × 25 =

6. 24 × 25 =

7. 97 × 25 =

8. 25 × 46 =

9. 25 × 52 =

10. 49 × 25 =

11. 25 × 74 =

12. 25 × 25 =

13. 15 × 25 =

14. 64 × 25 =

15. 81 × 25 =

16. 75 × 25 =

17. 25 × 89 =

18. 25 × 46 =

19. 25 × 67 =

20. 25 × 13 =

21. 25 × 87 =

22. 43 × 25 =

23. 53 × 25 =

24. 55 × 25 =

25. 25 × 18 =

26. 25 × 26 =

27. 55 × 25 =

28. 77 × 25 =

29. 25 × 59 =

30. 25 × 85 =

31. 315 × 25 =

32. 526 × 25 =

33. 816 × 25 =

34. 142 × 25 =

35. 359 × 25 =

36. 171 × 25 =

37. 25 × 335 =

38. 253 × 25 =

39. 25 × 652 =

40. 825 × 25 =

41. 25 × 312 =

42. 25 × 985 =

43. 778 × 25 =

44. 849 × 25 =

45. 512 × 25 =

46. 25 × 248 =

47. 25 × 246 =

48. 25 × 907 =

49. 297 × 25 =

50. 767 × 25 =



1. 76 × 50 =

2. 42 × 50 =

3. 50 × 62 =

4. 58 × 50 =

5. 15 × 50 =

6. 50 × 16 =

7. 67 × 50 =

8. 50 × 47 =

9. 50 × 95 =

10. 45 × 50 =

11. 71 × 50 =

12. 50 × 97 =

13. 77 × 50 =

14. 27 × 50 =

15. 58 × 50 =

16. 82 × 50 =

17. 50 × 58 =

18. 15 × 50 =

19. 89 × 50 =

20. 63 × 50 =

21. 50 × 72 =

22. 95 × 50 =

23. 79 × 50 =

24. 16 × 50 =

25. 50 × 57 =

26. 33 × 50 =

27. 50 × 87 =

28. 50 × 72 =

29. 50 × 29 =

30. 85 × 50 =

31. 50 × 561 =

32. 705 × 50 =

33. 50 × 132 =

34. 392 × 50 =

35. 408 × 50 =

36. 906 × 50 =

37. 598 × 50 =

38. 412 × 50 =

39. 847 × 50 =

40. 779 × 50 =

41. 50 × 421 =

42. 50 × 328 =

43. 376 × 50 =

44. 942 × 50 =

45. 50 × 895 =

46. 818 × 50 =

47. 50 × 532 =

48. 891 × 50 =

49. 564 × 50 =

50. 50 × 741 =


10 Roman Numerals

1. LXVI = (Arabic numerals)

2. XIX = (Arabic numerals)

3. LXVII = (Arabic numerals)

4. XXXVII = (Arabic numerals)

5. XXIV = (Arabic numerals)

6. LX = (Arabic numerals)

7. LXXXIV = (Arabic numerals)

8. LVI = (Arabic numerals)

9. LXXXIX = (Arabic numerals)

10. XCVI = (Arabic numerals)

11. LXXXII = (Arabic numerals)

12. XXX = (Arabic numerals)

13. XLVIII = (Arabic numerals)

14. XX = (Arabic numerals)

15. XL = (Arabic numerals)

16. XXVI = (Arabic numerals)

17. LXXXVIII = (Arabic numerals)

18. XLIX = (Arabic numerals)

19. LXXXII = (Arabic numerals)

20. LXI = (Arabic numerals)

21. LVII = (Arabic numerals)

22. XCVII = (Arabic numerals)

23. XLVII = (Arabic numerals)

24. XVIII = (Arabic numerals)

25. LXXVI = (Arabic numerals)

26. XIV = (Arabic numerals)

27. LXVIII = (Arabic numerals)

28. XLVIII = (Arabic numerals)

29. LXV = (Arabic numerals)

30. LXXXVI = (Arabic numerals)

31. CDX = (Arabic numerals)

32. MLVI = (Arabic numerals)

33. MMCCXXXVIII = (Arabic numerals)

34. MMDCLXXXIV = (Arabic numerals)

35. MLIII = (Arabic numerals)

36. DCCCXXXI = (Arabic numerals)

37. MMCCCLXVIII = (Arabic numerals)

38. MDLII = (Arabic numerals)

39. MCMXCVII = (Arabic numerals)

40. MCMXIII = (Arabic numerals)

41. CCXCVII = (Arabic numerals)

42. DCCCXLV = (Arabic numerals)

43. MMDCCCVIII = (Arabic numerals)

44. MDCCLXXXVII = (Arabic numerals)

45. MMCMXXXIV = (Arabic numerals)

46. MLXV = (Arabic numerals)

47. DCLXIV = (Arabic numerals)

48. MMDXXVI = (Arabic numerals)

49. CXCIX = (Arabic numerals)

50. MCC = (Arabic numerals)


11 Roman Numerals with Operations

1. CXXXII ÷ XI = (Arabic numerals)

2. VIII × XVI = (Arabic numerals)

3. XXXIII + XXX = (Arabic numerals)

4. XIII × IX = (Arabic numerals)

5. XX + XXXV = (Arabic numerals)

6. XV + XL = (Arabic numerals)

7. LV − XXIX = (Arabic numerals)

8. XV + XXXVIII = (Arabic numerals)

9. LXII − XLIX = (Arabic numerals)

10. XV × IX = (Arabic numerals)

11. XXXV + XIV = (Arabic numerals)

12. XVI × VIII = (Arabic numerals)

13. LXVI ÷ VI = (Arabic numerals)

14. XVI × V = (Arabic numerals)

15. XIX × IV = (Arabic numerals)

16. V × V = (Arabic numerals)

17. LVI − XXXIII = (Arabic numerals)

18. LXXVI ÷ XIX = (Arabic numerals)

19. XII × VII = (Arabic numerals)

20. VII × XII = (Arabic numerals)

21. XIX × V = (Arabic numerals)

22. XLIX + XI = (Arabic numerals)

23. XXI + XI = (Arabic numerals)

24. VI × VII = (Arabic numerals)

25. XVI × VII = (Arabic numerals)

26. VII × XIII = (Arabic numerals)

27. LXIV ÷ VIII = (Arabic numerals)

28. XV × VII = (Arabic numerals)

29. XXXIV + XXXVIII = (Arabic numerals)

30. LXXVII ÷ XI = (Arabic numerals)

31. L + XXV = (Arabic numerals)

32. XXI + XXII = (Arabic numerals)

33. LXXII ÷ VIII = (Arabic numerals)

34. IV × XVIII = (Arabic numerals)

35. LXII − XXVIII = (Arabic numerals)

36. LX ÷ XII = (Arabic numerals)

37. X × VIII = (Arabic numerals)

38. XII × XII = (Arabic numerals)

39. XXXIX + XXXVII = (Arabic numerals)

40. LXXII − XXVI = (Arabic numerals)

41. LIII − XVII = (Arabic numerals)

42. XI × VIII = (Arabic numerals)

43. CXXXV ÷ XV = (Arabic numerals)

44. LX ÷ X = (Arabic numerals)

45. XIV + XXV = (Arabic numerals)

46. XXVII + XXXIII = (Arabic numerals)

47. XIX + XXXIX = (Arabic numerals)

48. LXVI − XLII = (Arabic numerals)

49. CXII ÷ VII = (Arabic numerals)

50. XCV ÷ XIX = (Arabic numerals)


12 Place Values

1. What digit is in the hundreds place of 7696?


3. What digit is in the tens place of 5519?

4. What digit is in the tenths place of 55.69?

5. What digit is in the ten-thousandths place of295983.472789?


7. What digit is in the units place of 46913?





12. What digit is in the thousandths place of516496.335992?



15. What digit is in the ten-thousandths place of4112380.7513739?



18. What digit is in the thousands place of 290525?


20. What digit is in the thousandths place of740887.953187?

13 Rounding Numbers

1. Round 43661.7 to the nearest units place.

2. Round 634664 to the nearest thousands.

3. Round 8481.94 to the nearest tenths place.

4. Round 911383 to the nearest ten thousands.


6. Round 0.39805 to the nearest thousandths place.

7. Round 25.558 to the nearest hundredths place.


9. Round 829048 to the nearest hundreds.


11. Round 8458 to the nearest tens.

12. Round 0.449805 to the nearest ten-thousandthsplace.


14. Round 9955 to the nearest hundreds.








14 Expanded Notation

1. (4× 1000)+ (7× 100)+ (3× 10)+ (9× 1) = .

2. (7 × 102) + (6 × 101) + (1 × 100) = .

3. (7 × 1) + (5 × 10) + (4 × 100) = .

4. (4 × 100) + (2 × 10) = .

5. (6 × 100) + (1 × 1) = .

6. (1 × 102) + (7 × 101) + (8 × 100) = .

7. (2 × 1) + (3 × 10) + (7 × 100) = .

8. (7 × 1) + (1 × 10) + (1 × 100) = .

9. (1 × 102) + (5 × 101) + (8 × 100) = .

10. (6 × 100) + (2 × 10) = .

11. (9 × 10−1) + (7 × 10−2) + (3 × 10−3) = .

12. (4 × 100) + (1 × 1) = .

13. (3 × 1000) + (7 × 100) + (4 × 10) = .

14. (5 × 1000) + (6 × 100) + (9 × 1) = .

15. (3 × 100) + (5 × 10) + (5 × 1) = .

16. (4× 10)+ (9× 1000)+ (4× 100)+ (3× 1) = .

17. (3 × 100) + (6 × 10) + (6 × 1) = .

18. (5× 100)+ (8× 1)+ (7× 1000)+ (7× 10) = .

19. (3 × 1000) + (8 × 100) + (3 × 1) = .

20. (3 × 1000) + (2 × 100) + (3 × 10) = .

21. (6 × 1000) + (4 × 10) + (3 × 1) = .

22. (1× 1000)+ (6× 100)+ (6× 10)+ (3× 1) = .

23. (6 × 1000) + (8 × 10) + (4 × 1) = .

24. (3× 10)+ (9× 1000)+ (5× 100)+ (7× 1) = .

25. (9 × 1000) + (9 × 100) + (8 × 10) = .

26. (5 × 1000) + (6 × 100) + (8 × 10) = .

27. (4 × 10) + (2 × 100) + (6 × 1) = .

28. (1× 100)+ (5× 1)+ (2× 1000)+ (8× 10) = .

29. (8 × 10) + (7 × 100) + (6 × 1) = .

30. (2 × 100) + (2 × 1) = .

31. (8 × 1000) + (2 × 10) + (3 × 1) = .

32. (4 × 1000) + (8 × 100) + (7 × 10) = .

33. (5 × 100) + (8 × 1) = .

34. (7× 1000)+ (3× 100)+ (7× 10)+ (5× 1) = .

35. (4 × 10−1) + (3 × 10−2) + (5 × 10−3) = .

36. (4× 10)+ (4× 1000)+ (3× 100)+ (9× 1) = .

37. (6 × 1000) + (4 × 100) + (3 × 1) = .

38. (7 × 10−1) + (6 × 10−2) + (5 × 10−3) = .

39. (1 × 1000) + (3 × 10) + (1 × 1) = .

40. (9 × 1000) + (2 × 100) + (2 × 1) = .

41. (7 × 1000) + (1 × 100) + (6 × 10) = .

42. (9 × 102) + (8 × 101) + (4 × 100) = .

43. (7 × 1000) + (3 × 10) + (4 × 1) = .

44. (7× 1000)+ (1× 100)+ (1× 10)+ (4× 1) = .

45. (4 × 100) + (8 × 1) = .

46. (7 × 1000) + (7 × 100) + (3 × 1) = .

47. (6× 10)+ (8× 1000)+ (2× 100)+ (1× 1) = .

48. (5 × 1000) + (3 × 100) + (5 × 10) = .

49. (9 × 10−1) + (7 × 10−2) + (7 × 10−3) = .

50. (9× 100)+ (7× 1)+ (1× 1000)+ (2× 10) = .



1. 35 × 12 = .

2. 92 × 12 = .

3. 12 × 73 = .

4. 12 × 16 = .

5. 65 × 12 = .

6. 24 × 12 = .

7. 99 × 12 = .

8. 12 × 52 = .

9. 33 × 12 = .

10. 91 × 12 = .

11. 87 × 12 = .

12. 12 × 32 = .

13. 25 × 12 = .

14. 27 × 12 = .

15. 95 × 12 = .

16. 12 × 87 = .

17. 79 × 12 = .

18. 12 × 82 = .

19. 62 × 12 = .

20. 41 × 12 = .

21. 12 × 73 = .

22. 12 × 81 = .

23. 98 × 12 = .

24. 12 × 34 = .

25. 49 × 12 = .

26. 74 × 12 = .

27. 88 × 12 = .

28. 12 × 57 = .

29. 12 × 23 = .

30. 12 × 93 = .

31. 12 × 331 = .

32. 598 × 12 = .

33. 117 × 12 = .

34. 973 × 12 = .

35. 12 × 572 = .

36. 634 × 12 = .

37. 12 × 578 = .

38. 233 × 12 = .

39. 463 × 12 = .

40. 12 × 277 = .

41. 12 × 203 = .

42. 784 × 12 = .

43. 725 × 12 = .

44. 677 × 12 = .

45. 403 × 12 = .

46. 12 × 256 = .

47. 12 × 693 = .

48. 904 × 12 = .

49. 226 × 12 = .

50. 12 × 434 = .


16 Remainders (division by 2)

1. 673 ÷ 2 has a remainder of .



4. The remainder when 565 is divided by 2 is .






















































15. The remainder when 6944 is divided by 11 is.




19. The remainder when 1206 is divided by 11 is.


23 Remainders in general






















24 Division with multiples

1. 4455 ÷ 11 = .

2. 618 ÷ 6 = .

3. 4518 ÷ 9 = .

4. 808 ÷ 8 = .

5. 2665 ÷ 13 = .

6. 1806 ÷ 3 = .

7. 1326 ÷ 13 = .

8. 3232 ÷ 8 = .

9. 432 ÷ 4 = .

10. 7733 ÷ 11 = .

25 Adding Numbers in Sequence

1. 24 + 32 + 40 = .

2. 14 + 15 + 16 + 17 + 18 = .

3. 5 + 13 + 21 + 29 + 37 + 45 = .

4. 21 + 24 + 27 + 30 + 33 + 36 + 39 = .

5. 12 + 19 + 26 + 33 + 40 + 47 = .

6. 14 + 18 + 22 + 26 + 30 = .

7. 15 + 18 + 21 + 24 + 27 + 30 = .

8. 4 + 10 + 16 + 22 + 28 = .

9. 8 + 17 + 26 = .

10. 7 + 10 + 13 = .

11. 24 + 28 + 32 + 36 = .

12. 9 + 18 + 27 + 36 + 45 + 54 + 63 = .

13. 25 + 31 + 37 + 43 + 49 = .

14. 11 + 17 + 23 + 29 = .

15. 3 + 11 + 19 + 27 = .

16. 18 + 19 + 20 = .

17. 16 + 18 + 20 = .

18. 2 + 9 + 16 + 23 = .

19. 19 + 22 + 25 + 28 + 31 = .

20. 16 + 17 + 18 + 19 + 20 + 21 = .

21. 7 + 9 + 11 + 13 + . . . + 25 = .

22. 19 + 25 + 31 + 37 + . . . + 133 = .

23. 23 + 24 + 25 + 26 + . . . + 32 = .

24. 20 + 35 + 50 + 65 + . . . + 155 = .

25. 16 + 19 + 22 + 25 + . . . + 40 = .

26. 9 + 18 + 27 + 36 + . . . + 81 = .

27. 20 + 33 + 46 + 59 + . . . + 111 = .

28. 2 + 4 + 6 + 8 + . . . + 40 = .

29. 4 + 14 + 24 + 34 + . . . + 74 = .

30. 12 + 17 + 22 + 27 + . . . + 47 = .

31. 16 + 31 + 46 + 61 + . . . + 751 = .

32. 22 + 27 + 32 + 37 + . . . + 167 = .

33. 8 + 13 + 18 + 23 + . . . + 43 = .

34. 18 + 26 + 34 + 42 + . . . + 66 = .

35. 18 + 24 + 30 + 36 + . . . + 252 = .

36. 19 + 31 + 43 + 55 + . . . + 151 = .

37. 11 + 19 + 27 + 35 + . . . + 83 = .

38. 19 + 29 + 39 + 49 + . . . + 89 = .

39. 5 + 11 + 17 + 23 + . . . + 119 = .

40. 19 + 25 + 31 + 37 + . . . + 55 = .


26 Odd and Even Numbers

1. How many odd numbers are there between 18 and26?

2. How many even numbers are there between 19 and31?










27 Squares (1-20)

1. 82 = .

2. 102 = .

3. 132 = .

4. 152 = .

5. 182 = .

6. 32 = .

7. 52 = .

8. 12 = .

9. 162 = .

10. 112 = .

11. 42 = .

12. 202 = .

13. 192 = .

14. 42 = .

15. 62 = .

16. 192 = .

17. 22 = .

18. 112 = .

19. 122 = .

20. 92 = .

21. 12 = .

22. 72 = .

23. 102 = .

24. 132 = .

25. 42 = .

26. 202 = .

27. 172 = .

28. 162 = .

29. 82 = .

30. 32 = .

31. 22 = .

32. 162 = .

33. 52 = .

34. 92 = .

35. 192 = .

36. 142 = .

37. 102 = .

38. 42 = .

39. 172 = .

40. 92 = .

41. 132 = .

42. 22 = .

43. 72 = .

44. 112 = .

45. 162 = .

46. 182 = .

47. 42 = .

48. 192 = .

49. 172 = .

50. 182 = .


28 Square Roots (1-20)

1.√

361 = .

2.√

324 = .

3.√

4 = .

4.√

225 = .

5.√

36 = .

6.√

64 = .

7.√

16 = .

8.√

169 = .

9.√

49 = .

10.√

256 = .

11.√

25 = .

12.√

144 = .

13.√

400 = .

14.√

289 = .

15.√

196 = .

16.√

25 = .

17.√

4 = .

18.√

16 = .

19.√

36 = .

20.√

256 = .

21.√

100 = .

22.√

64 = .

23.√

1 = .

24.√

144 = .

25.√

25 = .

26.√

196 = .

27.√

225 = .

28.√

9 = .

29.√

121 = .

30.√

25 = .

31.√

400 = .

32.√

169 = .

33.√

324 = .

34.√

36 = .

35.√

225 = .

36.√

64 = .

37.√

400 = .

38.√

361 = .

39.√

256 = .

40.√

9 = .

41.√

25 = .

42.√

36 = .

43.√

81 = .

44.√

225 = .

45.√

361 = .

46.√

196 = .

47.√

289 = .

48.√

81 = .

49.√

169 = .

50.√

16 = .



1. 30 × 75 = .

2. 24 × 75 = .

3. 68 × 75 = .

4. 75 × 75 = .

5. 48 × 75 = .

6. 16 × 75 = .

7. 82 × 75 = .

8. 18 × 75 = .

9. 75 × 43 = .

10. 73 × 75 = .

11. 49 × 75 = .

12. 75 × 59 = .

13. 75 × 96 = .

14. 75 × 79 = .

15. 75 × 89 = .

16. 75 × 35 = .

17. 75 × 26 = .

18. 71 × 75 = .

19. 48 × 75 = .

20. 75 × 52 = .

21. 75 × 88 = .

22. 25 × 75 = .

23. 75 × 95 = .

24. 75 × 55 = .

25. 19 × 75 = .

26. 75 × 60 = .

27. 75 × 27 = .

28. 17 × 75 = .

29. 40 × 75 = .

30. 36 × 75 = .

31. 75 × 77 = .

32. 75 × 11 = .

33. 56 × 75 = .

34. 75 × 49 = .

35. 24 × 75 = .

36. 27 × 75 = .

37. 75 × 45 = .

38. 70 × 75 = .

39. 73 × 75 = .

40. 75 × 97 = .

41. 8 × 75 = .

42. 75 × 11 = .

43. 75 × 36 = .

44. 75 × 53 = .

45. 98 × 75 = .

46. 75 × 26 = .

47. 75 × 99 = .

48. 75 × 35 = .

49. 57 × 75 = .

50. 87 × 75 = .


30 Multiplying Two Numbers with Ones Digits Sum of 10, Same Tens Digits

1. 49 × 41 = .

2. 23 × 27 = .

3. 18 × 12 = .

4. 78 × 72 = .

5. 12 × 18 = .

6. 43 × 47 = .

7. 52 × 58 = .

8. 86 × 84 = .

9. 77 × 73 = .

10. 42 × 48 = .

11. 95 × 95 = .

12. 74 × 76 = .

13. 54 × 56 = .

14. 82 × 88 = .

15. 93 × 97 = .

16. 38 × 32 = .

17. 98 × 92 = .

18. 23 × 27 = .

19. 53 × 57 = .

20. 61 × 69 = .

21. 84 × 86 = .

22. 35 × 35 = .

23. 34 × 36 = .

24. 23 × 27 = .

25. 26 × 24 = .

26. 89 × 81 = .

27. 11 × 19 = .

28. 43 × 47 = .

29. 31 × 39 = .

30. 63 × 67 = .

31. 57 × 53 = .

32. 91 × 99 = .

33. 65 × 65 = .

34. 41 × 49 = .

35. 81 × 89 = .

36. 25 × 25 = .

37. 32 × 38 = .

38. 71 × 79 = .

39. 19 × 11 = .

40. 85 × 85 = .

41. 64 × 66 = .

42. 83 × 87 = .

43. 14 × 16 = .

44. 29 × 21 = .

45. 33 × 37 = .

46. 91 × 99 = .

47. 69 × 61 = .

48. 78 × 72 = .

49. 35 × 35 = .

50. 93 × 97 = .


31 Multiplying Two Digits Numbers (LOIF)

1. 26 × 49 = .

2. 64 × 65 = .

3. 86 × 44 = .

4. 65 × 34 = .

5. 41 × 42 = .

6. 28 × 16 = .

7. 94 × 78 = .

8. 81 × 97 = .

9. 57 × 68 = .

10. 32 × 52 = .

11. 73 × 47 = .

12. 92 × 69 = .

13. 78 × 86 = .

14. 81 × 14 = .

15. 86 × 41 = .

16. 87 × 93 = .

17. 77 × 32 = .

18. 98 × 85 = .

19. 93 × 19 = .

20. 97 × 42 = .

21. 64 × 69 = .

22. 38 × 98 = .

23. 71 × 55 = .

24. 47 × 21 = .

25. 94 × 81 = .

26. 59 × 32 = .

27. 49 × 95 = .

28. 31 × 45 = .

29. 13 × 69 = .

30. 45 × 21 = .

31. 13 × 28 = .

32. 95 × 14 = .

33. 51 × 35 = .

34. 23 × 96 = .

35. 65 × 47 = .

36. 15 × 56 = .

37. 35 × 43 = .

38. 75 × 57 = .

39. 92 × 38 = .

40. 85 × 81 = .

41. 63 × 41 = .

42. 54 × 24 = .

43. 95 × 78 = .

44. 38 × 28 = .

45. 86 × 69 = .

46. 42 × 88 = .

47. 23 × 54 = .

48. 64 × 17 = .

49. 59 × 88 = .

50. 31 × 56 = .


32 Multiplying Two Numbers with Both Numbers Close to and Greater Than100

1. 107 × 105 = .

2. 105 × 103 = .

3. 109 × 108 = .

4. 102 × 104 = .

5. 108 × 106 = .

6. 107 × 107 = .

7. 107 × 105 = .

8. 108 × 109 = .

9. 102 × 101 = .

10. 102 × 109 = .

11. 105 × 102 = .

12. 102 × 101 = .

13. 104 × 109 = .

14. 104 × 107 = .

15. 105 × 106 = .

16. 105 × 102 = .

17. 102 × 108 = .

18. 106 × 104 = .

19. 102 × 108 = .

20. 109 × 106 = .

21. 107 × 109 = .

22. 101 × 103 = .

23. 103 × 106 = .

24. 105 × 105 = .

25. 101 × 105 = .

26. 104 × 109 = .

27. 101 × 101 = .

28. 106 × 105 = .

29. 105 × 101 = .

30. 109 × 104 = .

31. 106 × 109 = .

32. 109 × 105 = .

33. 107 × 106 = .

34. 102 × 106 = .

35. 107 × 107 = .

36. 109 × 101 = .

37. 108 × 101 = .

38. 105 × 104 = .

39. 102 × 101 = .

40. 104 × 109 = .

41. 106 × 106 = .

42. 104 × 105 = .

43. 102 × 105 = .

44. 109 × 102 = .

45. 105 × 102 = .

46. 106 × 101 = .

47. 106 × 109 = .

48. 109 × 107 = .

49. 104 × 104 = .

50. 106 × 109 = .


33 Multiplying Two Numbers with Both Numbers Close to and Less Than 100

1. 99 × 94 = .

2. 95 × 95 = .

3. 97 × 95 = .

4. 98 × 98 = .

5. 94 × 97 = .

6. 97 × 99 = .

7. 91 × 95 = .

8. 96 × 91 = .

9. 91 × 98 = .

10. 99 × 96 = .

11. 91 × 97 = .

12. 94 × 99 = .

13. 92 × 95 = .

14. 98 × 98 = .

15. 99 × 97 = .

16. 92 × 94 = .

17. 96 × 96 = .

18. 93 × 92 = .

19. 91 × 91 = .

20. 92 × 94 = .

21. 94 × 97 = .

22. 93 × 93 = .

23. 99 × 91 = .

24. 99 × 95 = .

25. 95 × 93 = .

26. 97 × 98 = .

27. 96 × 99 = .

28. 97 × 97 = .

29. 94 × 97 = .

30. 98 × 94 = .

31. 93 × 94 = .

32. 94 × 96 = .

33. 93 × 96 = .

34. 91 × 96 = .

35. 93 × 99 = .

36. 99 × 98 = .

37. 94 × 93 = .

38. 93 × 94 = .

39. 96 × 97 = .

40. 94 × 91 = .

41. 95 × 95 = .

42. 95 × 91 = .

43. 92 × 91 = .

44. 92 × 97 = .

45. 94 × 96 = .

46. 98 × 93 = .

47. 96 × 97 = .

48. 96 × 98 = .

49. 91 × 91 = .

50. 91 × 95 = .


34 Squares (21-30)

1. 262 = .

2. 282 = .

3. 232 = .

4. 292 = .

5. 272 = .

6. 252 = .

7. 242 = .

8. 282 = .

9. 222 = .

10. 212 = .

11. 302 = .

12. 242 = .

13. 222 = .

14. 232 = .

15. 292 = .

16. 212 = .

17. 252 = .

18. 282 = .

19. 222 = .

20. 272 = .

21. 262 = .

22. 292 = .

23. 212 = .

24. 252 = .


1.√

676 = .

2.√

841 = .

3.√

529 = .

4.√

784 = .

5.√

441 = .

6.√

484 = .

7.√

729 = .

8.√

625 = .

9.√

484 = .

10.√

576 = .

11.√

784 = .

12.√

841 = .

13.√

625 = .

14.√

900 = .

15.√

676 = .

16.√

441 = .

17.√

784 = .

18.√

576 = .

19.√

625 = .

20.√

484 = .

21.√

900 = .

22.√

841 = .

23.√

529 = .

24.√

729 = .


36 Multiplying Two Numbers Centered Around a Third Number (x10)

1. 56 × 44 = .

2. 67 × 53 = .

3. 54 × 46 = .

4. 25 × 15 = .

5. 88 × 72 = .

6. 53 × 47 = .

7. 73 × 67 = .

8. 23 × 17 = .

9. 96 × 84 = .

10. 45 × 35 = .

11. 97 × 83 = .

12. 69 × 51 = .

13. 36 × 24 = .

14. 33 × 27 = .

15. 89 × 71 = .

16. 31 × 29 = .

17. 89 × 71 = .

18. 87 × 73 = .

19. 97 × 83 = .

20. 82 × 78 = .

21. 86 × 74 = .

22. 26 × 14 = .

23. 48 × 32 = .

24. 49 × 31 = .

25. 85 × 75 = .

26. 94 × 86 = .

27. 95 × 85 = .

28. 47 × 33 = .

29. 58 × 42 = .

30. 36 × 24 = .

31. 35 × 25 = .

32. 85 × 75 = .

33. 88 × 72 = .

34. 94 × 86 = .

35. 86 × 74 = .

36. 42 × 38 = .

37. 66 × 54 = .

38. 29 × 11 = .

39. 23 × 17 = .

40. 92 × 88 = .

41. 76 × 64 = .

42. 48 × 32 = .

43. 26 × 34 = .

44. 74 × 66 = .

45. 53 × 47 = .

46. 44 × 36 = .

47. 29 × 11 = .

48. 73 × 67 = .

49. 94 × 86 = .

50. 58 × 42 = .


37 Multiplying Two Numbers Centered Around a Third Number (any)

1. 26 × 20 = .

2. 30 × 22 = .

3. 30 × 28 = .

4. 27 × 25 = .

5. 29 × 23 = .

6. 30 × 28 = .

7. 28 × 26 = .

8. 25 × 23 = .

9. 17 × 15 = .

10. 26 × 18 = .

11. 20 × 16 = .

12. 21 × 19 = .

13. 28 × 24 = .

14. 26 × 20 = .

15. 23 × 21 = .

16. 24 × 20 = .

17. 18 × 12 = .

18. 27 × 23 = .

19. 16 × 12 = .

20. 18 × 12 = .

21. 28 × 24 = .

22. 28 × 20 = .

23. 22 × 18 = .

24. 27 × 25 = .

38 Difference of Two Squares

1. 362 − 302 = .

2. 752 − 652 = .

3. 212 − 12 = .

4. 822 − 712 = .

5. 632 − 532 = .

6. 502 − 42 = .

7. 222 − 132 = .

8. 772 − 492 = .

9. 302 − 32 = .

10. 572 − 462 = .

11. 162 − 152 = .

12. 602 − 402 = .

13. 792 − 412 = .

14. 892 − 642 = .

15. 162 − 132 = .

16. 962 − 852 = .

17. 502 − 62 = .

18. 722 − 472 = .

19. 592 − 312 = .

20. 702 − 72 = .

21. 562 − 302 = .

22. 512 − 92 = .

23. 992 − 392 = .

24. 302 − 72 = .


39 Multiplying Two Numbers Ending in 5

1. 65 × 95 = .

2. 35 × 95 = .

3. 25 × 75 = .

4. 85 × 15 = .

5. 85 × 65 = .

6. 75 × 25 = .

7. 45 × 75 = .

8. 65 × 95 = .

9. 75 × 15 = .

10. 85 × 75 = .

11. 35 × 75 = .

12. 45 × 25 = .

13. 65 × 85 = .

14. 35 × 55 = .

15. 45 × 15 = .

16. 65 × 15 = .

17. 15 × 75 = .

18. 65 × 85 = .

19. 65 × 15 = .

20. 15 × 25 = .

21. 65 × 95 = .

22. 65 × 25 = .

23. 85 × 15 = .

24. 35 × 25 = .

40 Prime Numbers (how many?)

1. How many prime numbers are there between 50 and60? .

















41 Prime Numbers (prev/next?)

1. What is the smallest prime number greater than 64?.


3. What is the largest prime number less than 76?.










42 Positive Integral Divisors (how many?)

1. The number 63 has positive integral divisors.

2. How many positive integral divisors does 50 have?.
























43 Positive Integral Divisors (sum)

1. What is the sum of the positive integral divisors of55? .




5. The sum of the positive integral divisors of 30 is.



























44 Greatest Common Divisor (GCD)

1. The GCD of 98 and 70 is .
























45 Least Common Multiple (LCM)

1. The LCM of 40 and 104 is .

























46 Metric Conversions

1. 8.61 hectograms = grams

2. 1.3 grams = milligrams

3. 919 decimeters = hectometers

4. 78 kiloliters = hectoliters

5. 34600 grams = hectograms

6. 1.61 kilometers = hectometers

7. 738 liters = centiliters

8. .323 dekaliters = liters

9. 807 milligrams = grams

10. 17 milliliters = dekaliters

11. .0908 kilometers = decimeters

12. 995 hectograms = grams

13. .285 hectometers = millimeters

14. 227 hectograms = dekagrams

15. .271 dekaliters = liters

16. 5.65 kilograms = hectograms

17. 1.2 hectograms = dekagrams

18. 645 kiloliters = centiliters

19. 335 decimeters = meters

20. 8 meters = millimeters

21. .947 grams = milligrams

22. 39.1 hectograms = centigrams

23. 558 centimeters = kilometers

24. 183 centigrams = milligrams

25. .918 kiloliters = centiliters

26. 3.34 liters = milliliters

27. 452 dekaliters = liters

28. 8.45 decimeters = dekameters

29. 514 dekameters = hectometers

30. 191 kiloliters = deciliters

31. 466 milligrams = hectograms

32. 836 decigrams = kilograms

33. 80.2 dekagrams = hectograms

34. 58.1 kilograms = milligrams

35. 3.49 decimeters = hectometers

36. 3.09 meters = hectometers

37. 3.28 grams = decigrams

38. 426 dekagrams = grams

39. 6.8 meters = millimeters

40. 906 milliliters = liters

41. 8.98 centimeters = meters

42. 419 hectoliters = dekaliters

43. 68 decimeters = kilometers

44. 159 hectoliters = centiliters

45. 37.5 centigrams = hectograms

46. 36.1 hectometers = meters

47. 84.3 hectograms = centigrams

48. .4 milliliters = hectoliters

49. 28.6 dekaliters = liters

50. .642 decigrams = milligrams


47 English Conversions – Length

1. 288 inches = yards

2. 7 miles = feet

3. 3520 yards = miles


5. 2 yards = inches

6. 9 yards = inches

7. 8 miles = yards

8. 12 miles = yards

9. 8 miles = feet

10. 72 inches = feet

11. 47520 feet = miles

12. 6 feet = yards

13. 2 feet = inches

14. 6 miles = feet

15. 5 miles = feet


17. 3 miles = feet

18. 2 miles = yards



48 English Conversions – Weight

1. 32 ounces = pounds

2. 36 tons = pounds


4. 20000 pounds = tons


6. 14 pounds = ounces

7. 30 tons = pounds

8. 40 tons = pounds








16. 2 tons = pounds


18. 23 tons = pounds


20. 46 tons = pounds


49 English Conversions – Volume

1. 44 cups = quarts

2. 176 cups = gallons

3. 4 cups = ounces

4. 8 cups = teaspoons

5. 2816 tablespoons = gallons

6. 3 gallons = tablespoons


8. 12 ounces = teaspoons

9. 18 cups = pints

10. 16 cups = pints

11. 7 gallons = cups


13. 6 cups = teaspoons

14. 6 gallons = tablespoons

15. 8 pints = ounces

16. 10 cups = tablespoons

17. 32 ounces = pints

18. 6 cups = pints

19. 128 cups = gallons

20. 8 quarts = tablespoons

50 English Conversions – Time

1. 3 minutes = seconds

2. 540 minutes = hours

3. 14400 seconds = hours

4. 3 days = hours

5. 300 seconds = minutes

6. 8 hours = seconds

7. 8640 minutes = days

8. 2 days = hours

9. 10 hours = minutes

10. 11 days = hours

11. 7200 seconds = hours

12. 12 days = hours

13. 5 minutes = seconds

14. 180 minutes = hours


16. 11 days = hours



19. 2 hours = minutes



51 English Conversions – Money

1. 14 dollars = nickels

2. 50 nickels = quarters

3. 5 dollars − 6 quarters = quarters

4. 10 half-dollars − 6 nickels = dimes

5. 9 quarters − 8 pennies = cents

6. 3 nickels + 5 half-dollars = nickels

7. 18 dollars = quarters

8. 100 nickels = dollars

9. 50 pennies = nickels

10. 20 dimes = nickels

11. 9 half-dollars = pennies

12. 10 quarters − 12 nickels = dimes

13. 7 dollars = half-dollars

14. 20 dimes = dollars

15. 25 dimes = quarters

16. 90 dimes = half-dollars

17. 10 quarters = nickels

18. 2 half-dollars − 2 nickels = dimes

19. 10 pennies + 6 dimes = dimes

20. 20 dimes = half-dollars

52 Sequences

1. The next term in the sequence 9, 13, 20, 30, ... is.

2. The next term in the sequence 144, 196, 256, 324,...is .


4. The next term in the sequence 8, 27, 64, 125,... is.
















53 Sum of Consecutive Whole Numbers

1. 1 + 2 + 3 + 4 + 5 + 6 = .

2. 1 + 2 + 3 + 4 + ... + 9 = .

3. 1 + 2 + 3 + 4 + ... + 59 = .

4. 3 + 4 + 5 + 6 + ... + 12 = .

5. 1 + 2 + 3 + 4 + ... + 20 = .

6. 7 + 8 + 9 + 10 + ... + 16 = .

7. 1 + 2 + 3 + 4 + ... + 80 = .

8. 1 + 2 + 3 + 4 + ... + 59 = .

9. 12 + 13 + 14 + 15 + ... + 25 = .

10. 9 + 10 + 11 + 12 + ... + 24 = .

11. 2 + 3 + 4 + 5 + ... + 18 = .

12. 1 + 2 + 3 + 4 + ... + 79 = .

13. 1 + 2 + 3 + 4 + ... + 8 = .

14. 1 + 2 + 3 + 4 + ... + 15 = .

15. 1 + 2 + 3 + 4 + ... + 20 = .

16. 1 + 2 + 3 + 4 + ... + 40 = .

17. 10 + 11 + 12 + 13 + ... + 19 = .

18. 4 + 5 + 6 + 7 + ... + 18 = .

19. 11 + 12 + 13 + 14 + ... + 23 = .

20. 1 + 2 + 3 + 4 + ... + 11 = .

54 Sum of Odd Whole Numbers

1. 5 + 7 + 9 + 11 + ... + 29 = .

2. 3 + 5 + 7 + 9 + ... + 27 = .

3. 1 + 3 + 5 + 7 + ... + 57 = .

4. 1 + 3 + 5 + 7 + ... + 93 = .

5. 9 + 11 + 13 + 15 + ... + 29 = .

6. 5 + 7 + 9 + 11 + ... + 27 = .

7. 1 + 3 + 5 + 7 + ... + 25 = .

8. 11 + 13 + 15 + 17 + ... + 37 = .

9. 5 + 7 + 9 + 11 + ... + 23 = .

10. 1 + 3 + 5 + 7 + ... + 29 = .

11. 9 + 11 + 13 + 15 + ... + 35 = .

12. 15 + 17 + 19 + 21 + ... + 41 = .

13. 9 + 11 + 13 + 15 + ... + 29 = .

14. 7 + 9 + 11 + 13 + ... + 29 = .

15. 3 + 5 + 7 + 9 + ... + 31 = .

16. 15 + 17 + 19 + 21 + ... + 35 = .

17. 5 + 7 + 9 + 11 + ... + 21 = .

18. 13 + 15 + 17 + 19 + ... + 33 = .

19. 1 + 3 + 5 + 7 + ... + 81 = .

20. 7 + 9 + 11 + 13 + ... + 39 = .


55 Order of Operations

1. 9 × (3 + 7) + 1 = .

2. 12 + 100 ÷ 10 = .

3. 72 ÷ 8 + 5 × 9 = .

4. 14 ÷ 7 + 5 × 2 = .

5. 11 + 5 × 4 − 5 = .

6. 11 + 55 ÷ 5 = .

7. 7 × (7 − 6) + 3 = .

8. (9 − 5) × 6 = .

9. 35 ÷ 7 + 8 = .

10. 16 ÷ 2 + 6 × 2 = .

11. 8 + 27 ÷ 9 = .

12. 4 + 3 × 6 − 5 = .

13. 9 + 54 ÷ 6 = .

14. 1 + 6 × 5 = .

15. 3 ÷ 3 + 12 = .

16. 9 × 3 + 4 × 7 = .

17. 3 × 9 + 2 = .

18. 6 + 72 ÷ 6 = .

19. 12 ÷ 4 + 6 = .

20. 3 + 120 ÷ 12 = .

21. 12 + 2 × 5 − 5 = .

22. (7 + 7) × 7 = .

23. 70 ÷ 10 + 8 × 7 = .

24. 15 + 2 × 3 = .

25. 9 + 4 × 2 − 3 = .

26. 42 + 9 × 8 = .

27. 1 + 4 × 8 = .

28. 144 ÷ 12 + 8 × 2 = .

29. 16 + 5 × 4 = .

30. 6 + 77 ÷ 11 = .

31. 5 + 8 × 5 − 5 = .

32. 6 × 6 + 9 = .

33. (5 − 2) × 6 = .

34. 42 + 8 × 5 = .

35. 10 × 5 + 7 = .

36. 12 ÷ 3 + 9 = .

37. 9 × (7 + 9) + 9 = .

38. 122 + 4 × 5 = .

39. 14 + 4 × 3 = .

40. 20 + 5 × 6 = .

41. 22 + 9 × 9 = .

42. 4 + 48 ÷ 12 = .

43. (6 + 6) × 4 = .

44. 24 ÷ 4 + 8 = .

45. 4 + 5 × 8 − 9 = .

46. 18 ÷ 2 + 4 × 8 = .

47. 6 × 7 + 11 × 4 = .

48. 2 × (9 + 6) + 7 = .

49. 16 ÷ 4 + 2 = .

50. 2 + 14 ÷ 7 = .


56 Squares (31-40)

1. 362 = .

2. 332 = .

3. 342 = .

4. 392 = .

5. 322 = .

6. 352 = .

7. 312 = .

8. 332 = .

9. 392 = .

10. 352 = .

11. 392 = .

12. 312 = .

13. 342 = .

14. 322 = .

15. 392 = .

16. 382 = .

17. 362 = .

18. 372 = .

19. 312 = .

20. 382 = .

57 Squares (41-50)

1. 442 = .

2. 482 = .

3. 492 = .

4. 472 = .

5. 482 = .

6. 462 = .

7. 432 = .

8. 422 = .

9. 412 = .

10. 452 = .

11. 422 = .

12. 462 = .

13. 452 = .

14. 412 = .

15. 452 = .

16. 432 = .

17. 482 = .

18. 422 = .

19. 472 = .

20. 412 = .


58 Squares (51-60)

1. 562 = .

2. 602 = .

3. 522 = .

4. 542 = .

5. 512 = .

6. 532 = .

7. 592 = .

8. 542 = .

9. 572 = .

10. 552 = .

11. 562 = .

12. 602 = .

13. 512 = .

14. 592 = .

15. 532 = .

16. 552 = .

17. 572 = .

18. 522 = .

19. 542 = .

20. 512 = .

59 Squares of Numbers Ending in 5

1. 152 = .

2. 352 = .

3. 752 = .

4. 552 = .

5. 252 = .

6. 852 = .

7. 152 = .

8. 652 = .

9. 552 = .

10. 752 = .

11. 452 = .

12. 752 = .

13. 952 = .

14. 652 = .

15. 552 = .

16. 452 = .

17. 352 = .

18. 652 = .

19. 852 = .

20. 452 = .


60 Cubes (1-12)

1. 63 = .

2. 103 = .

3. 73 = .

4. 123 = .

5. 83 = .

6. 23 = .

7. 33 = .

8. 93 = .

9. 43 = .

10. 113 = .

11. 23 = .

12. 33 = .

13. 13 = .

14. 83 = .

15. 113 = .

16. 73 = .

17. 123 = .

18. 83 = .

19. 93 = .

20. 33 = .


61 Common Fractions to Percents

1. 17 = %.

2. 13 = %.

3. 110 = %.

4. 13 = %.

5. 12 = %.

6. 16 = %.

7. 14 = %.

8. 49 = %.

9. 710 = %.

10. 311 = %.

11. 67 = %.

12. 34 = %.

13. 34 = %.

14. 35 = %.

15. 79 = %.

16. 18 = %.

17. 13 = %.

18. 611 = %.

19. 12 = %.

20. 19 = %.

21. 16 = %.

22. 512 = %.

23. 34 = %.

24. 16 = %.

25. 1112 = %.

26. 37 = %.

27. 16 = %.

28. 89 = %.

29. 311 = %.

30. 1112 = %.

31. 710 = %.

32. 47 = %.

33. 14 = %.

34. 310 = %.

35. 511 = %.

36. 311 = %.

37. 37 = %.

38. 12 = %.

39. 1112 = %.

40. 712 = %.

41. 38 = %.

42. 712 = %.

43. 19 = %.

44. 89 = %.

45. 1112 = %.

46. 56 = %.

47. 910 = %.

48. 13 = %.

49. 18 = %.

50. 15 = %.


62 Changing Decimals, Percents, and Fractions

1. 13% = (fraction)

2. 0.93 = %.

3. 0.84 = %.

4. 6.64 = %.

5. 58% = (decimal).

6. 1.92 = %.

7. 69% = (decimal).

8. 59% = (decimal).

9. 99% = (fraction)

10. 0.88 = %.

11. 51% = (decimal).

12. 0.04 = %.

13. 9.17 = %.

14. 0.23 = %.

15. 9.72 = %.

16. 91% = (decimal).

17. 0.54 = %.

18. 0.7 = %.

19. 74% = (fraction)



22. 2.84 = %.

23. 3.53 = %.

24. 45% = (decimal).

25. 0.92 = %.

26. 0.6 = %.

27. 80% = (decimal).

28. 9.54 = %.

29. 2.83 = %.

30. 4.89 = %.

31. 60% = (decimal).

32. 8.71 = %.

33. 85% = (decimal).

34. 0.05 = %.


36. 0.33 = %.

37. 9.21 = %.

38. 44% = (decimal).

39. 9.88 = %.

40. 7.57 = %.


42. 7.77 = %.


44. 3.99 = %.

45. 9.78 = %.

46. 6.96 = %.

47. 5.17 = %.

48. 0.24 = %.

49. 0.59 = %.

50. 28% = (decimal).


63 Adding and Subtracting Decimals

1. 87.5 − 0.072 = .

2. 8.73 − 0.568 = .

3. 9.57 + 4.73 = .

4. 0.729 + 0.305 = .

5. 54.3 − 5.96 = .

6. 3.7 − 0.383 = .

7. 0.824 − 0.73 = .

8. 2.6 + 6 = .

9. 1.5 + 0.303 = .

10. 7.15 − 6.04 = .

11. 86.2 + 0.731 = .

12. 0.163 + 7.5 = .

13. 2.17 + 84.9 = .

14. 4.98 + 37.7 = .

15. 63.5 − 0.204 = .

16. 2.63 − 0.845 = .

17. 0.766 + 3.2 = .

18. 3.17 + 9.26 = .

19. 0.878 + 91.3 = .

20. 0.854 − 0.328 = .

21. 4.41 − 0.625 = .

22. 2.04 + 0.286 = .

23. 98.9 + 84.6 = .

24. 80.2 − 0.276 = .

25. 7.28 − 6.82 = .

26. 53.8 − 8.78 = .

27. 4.1 + 0.159 = .

28. 70.7 + 20.2 = .

29. 26.2 + 97.8 = .

30. 49.8 + 13.4 = .

31. 20.2 − 2.38 = .

32. 0.41 + 92.5 = .

33. 68 − 50.4 = .

34. 4.41 − 4.24 = .

35. 2.15 − 0.671 = .

36. 32 + 0.843 = .

37. 0.629 + 8.61 = .

38. 41.6 − 2.42 = .

39. 85.8 − 3.68 = .

40. 36.9 − 8.91 = .

41. 0.952 + 3.04 = .

42. 0.737 + 35.1 = .

43. 1.11 + 0.37 = .

44. 7.32 + 9.24 = .

45. 1.43 − 0.372 = .

46. 1.41 + 3.76 = .

47. 13.3 − 0.78 = .

48. 6.1 − 2.15 = .

49. 0.578 + 0.198 = .

50. 53.9 − 0.742 = .


64 Multiplying and Dividing Decimals

1. 0.59 × 0.05 = .

2. 0.47 × 0.9 = .

3. 0.2 × 0.03 = .

4. 0.98 × 0.4 = .

5. 0.02 × 0.8 = .

6. 0.57 × 0.9 = .

7. 6 × 0.3 = .

8. 0.204 ÷ 0.6 = .

9. 6.8 × 0.4 = .

10. 6.6 × 0.2 = .

11. 0.49 ÷ 0.07 = .

12. 0.31 × 0.03 = .

13. 0.828 ÷ 0.9 = .

14. 4.7 × 0.08 = .

15. 0.019 ÷ 0.02 = .

16. 6.93 ÷ 0.7 = .

17. 0.144 ÷ 0.8 = .

18. 4.4 × 0.02 = .

19. 0.14 × 0.07 = .

20. 0.71 × 0.01 = .

21. 0.77 × 0.7 = .

22. 0.0041 ÷ 0.01 = .

23. 0.0161 ÷ 0.07 = .

24. 0.246 ÷ 0.3 = .

25. 0.104 ÷ 0.8 = .

26. 1.45 ÷ 0.5 = .

27. 5.18 ÷ 0.7 = .

28. 0.18 ÷ 0.2 = .

29. 0.75 ÷ 0.3 = .

30. 7.84 ÷ 0.8 = .

31. 0.114 ÷ 0.3 = .

32. 1.8 ÷ 0.2 = .

33. 2.7 × 0.03 = .

34. 5.3 × 0.4 = .

35. 7.1 × 0.08 = .

36. 4.48 ÷ 0.8 = .

37. 0.828 ÷ 0.9 = .

38. 0.67 × 0.05 = .

39. 0.546 ÷ 0.6 = .

40. 6.7 × 0.01 = .

41. 0.26 × 0.09 = .

42. 0.415 ÷ 0.05 = .

43. 4.1 × 0.04 = .

44. 0.41 × 0.02 = .

45. 9.2 × 0.07 = .

46. 1.1 × 0.08 = .

47. 0.553 ÷ 0.7 = .

48. 0.0053 ÷ 0.01 = .

49. 8 × 0.5 = .

50. 0.0728 ÷ 0.08 = .


65 Comparing Fractions

1. Which of the following is smaller:215

or57

?


or89

?


or45

?


or7

19?

5. Which of the following is larger:1419

or12

?


or710

?


or17

?


or15

?


or13

?


or25

?


or15

?


or1619

?


or1213

?


or1718

?


or12

?


or23

?


or23

?


or19

?


or6

11?


or112

?


or56

?


or25

?


or79

?


or12

?


or19

?


or19

?


or12

?


or1315

?


or38

?


or710

?


15or

1113

?


or717

?


or110

?


or517

?


or311

?


or519

?


or18

?


or12

?


66 Adding and Subtracting Fractions with Common Denominators

1.1718+

1118=

2.79− 1

9=

3.314+

114=

4.78− 1

8=

5.819+

119=

6.25+

15=

7.1315+

815=

8.213− 4

13=

9.517+

317=

10.112− 5

12=

11.78− 5

8=

12.519+

1119=

13.813− 2

13=

14.213− 4

13=

15.310+

710=

16.79− 2

9=

17.18− 3

8=

18.1519− 3

19=

67 Adding and Subtracting Fractions with Different Denominators

1.14+

13= .

2.12+

38= .

3.16+

512= .

4.58− 1

7= .

5.211+

47= .

6.511+

23= .

7.38+

89= .

8.811+

38= .

9.13+

57= .

10.811− 1

2= .

11.16+

112= .

12.45− 1

10= .

13.34− 1

5= .

14.911+

12= .

15.47− 2

5= .

16.811− 3

5= .

17.14− 1

6= .

18.13+

711= .


68 Special Fraction Sum: a/b + b/a

1.910+

109= (mixed number).

2.25+

52= (mixed number).

3.511+


4.58+

85= (mixed number).

5.59+

95= (mixed number).

6.1314+


7.914+


8.1415+


9.511+


10.713+


11.34+

43= (mixed number).

12.710+


13.1011+


14.1112+


15.79+

97= (mixed number).

16.511+


17.611+


18.59+

95= (mixed number).

69 Special Fraction Sum: a/b + b/(a+b)

1.211+


2.47+


3.18+

89= (mixed number).

4.57+

25= (mixed number).

5.1114+


6.49+


7.67+

16= (mixed number).

8.712+


9.37+


10.38+


11.1112+


12.712+

57= (mixed number).

13.1219+


14.711+


15.111+


16.611+


17.512+


18.58+

35= (mixed number).


70 Multiplying Fractions

1.710× 1

2=

2.23× 3

4=

3.211× 3

4=

4.12× 5

12=

5.112× 2

3=

6.18× 3

5=

7.211× 7

9=

8.112× 2

7=

9.37× 11

12=

10.1011× 1

11=

11.45× 5

8=

12.711× 2

5=

13.14× 1

10=

14.14× 8

9=

15.58× 1

6=

16.89× 1

9=

17.710× 7

9=

18.25× 9

11=

19.23× 3

5=

20.37× 3

8=

21.13× 1

6=

22.13× 1

9=

23.34× 1

12=

24.1112× 3

8=

25.511× 5

6=

26.25× 6

7=

27.16× 3

5=

28.1112× 3

10=

29.910× 4

9=

30.16× 1

3=

31.57× 2

5=

32.14× 2

9=

33.78× 3

7=

34.13× 5

9=

35.611× 2

3=

36.38× 2

9=


71 Dividing Fractions

1.89÷ 8

11=

2.711÷ 5

9=

3.47÷ 3

5=

4.12÷ 8

9=

5.78÷ 3

11=

6.59÷ 1

3=

7.310÷ 1

2=

8.16÷ 6

7=

9.611÷ 3

11=

10.34÷ 3

5=

11.710÷ 1

3=

12.56÷ 1

4=

13.35÷ 11

12=

14.13÷ 11

12=

15.13÷ 3

4=

16.13÷ 1

10=

17.12÷ 2

7=

18.38÷ 1

2=

19.13÷ 5

8=

20.12÷ 8

9=

21.34÷ 3

5=

22.15÷ 2

5=

23.311÷ 1

11=

24.45÷ 2

7=

25.79÷ 4

5=

26.12÷ 3

8=

27.16÷ 9

10=

28.35÷ 1

2=

29.12÷ 7

10=

30.16÷ 3

4=

31.12÷ 5

12=

32.310÷ 1

2=

33.112÷ 3

11=

34.17÷ 2

3=

35.18÷ 5

6=

36.12÷ 5

7=


72 Adding Mixed Numbers

1. 223+ 4

16= (mixed number)

2. 912+ 3

14= (mixed number)

3. 223+ 1

1112= (mixed number)

4. 312+ 5

16= (mixed number)

5. 3310+ 2

12= (mixed number)

6. 818+ 2

14= (mixed number)

7. 734+ 9

12= (mixed number)

8. 747+ 3

67= (mixed number)

9. 779+ 6

13= (mixed number)

10. 4512+ 7

14= (mixed number)

11. 9712+ 9

56= (mixed number)

12. 512+ 6

911= (mixed number)

13. 3712+ 1

19= (mixed number)

14. 258+ 4

110= (mixed number)

15. 412+ 6

19= (mixed number)

16. 519+ 3

56= (mixed number)

17. 258+ 5

34= (mixed number)

18. 856+ 9

710= (mixed number)

19. 813+ 3

23= .

20. 847+ 2

78= (mixed number)

21. 634+ 1

25= (mixed number)

22. 6310+ 9

18= (mixed number)

23. 915+ 2

56= (mixed number)

24. 678+ 8

811= (mixed number)

25. 1512+ 5

12= (mixed number)

26. 434+ 6

110= (mixed number)

27. 225+ 9

58= (mixed number)

28. 4310+ 9

18= (mixed number)

29. 757+ 1

13= (mixed number)

30. 134+ 6

310= (mixed number)

31. 7910+ 5

15= (mixed number)

32. 1211+ 1

45= (mixed number)

33. 214+ 1

310= (mixed number)

34. 612+ 8

23= (mixed number)

35. 3710+ 8

56= (mixed number)

36. 618+ 8

12= (mixed number)


73 Subtracting Mixed Numbers

1. 31112− 1

512= (mixed number)

2. 645− 3

15= (mixed number)

3. 712− 1

16= (mixed number)

4. 834− 6

12= (mixed number)

5. 478− 3

14= (mixed number)

6. 8712− 2

12= (mixed number)

7. 312− 2

14= (mixed number).

8. 745− 7

15= (fraction).

9. 5411− 2

37= (mixed number)

10. 656− 2

111= (mixed number)

11. 623− 2

58= (mixed number)

12. 618− 5

38= (fraction).

13. 889− 1

712= (mixed number)

14. 938− 5

16= (mixed number)

15. 789− 1

16= (mixed number)

16. 549− 2

16= (mixed number)

17. 756− 4

34= (mixed number)

18. 8111− 2

56= (mixed number)

19. 9711− 2

12= (mixed number)

20. 978− 5

56= (mixed number)

21. 5811− 5

17= (fraction).

22. 8310− 3

67= (mixed number)

23. 8712− 1

34= (mixed number)

24. 567− 3

112= (mixed number)

25. 914− 5

89= (mixed number)

26. 817− 7

58= (fraction).

27. 838− 2

19= (mixed number)

28. 447− 2

811= (mixed number)

29. 629− 2

58= (mixed number)

30. 938− 9

311= (fraction).

31. 817− 7

14= (fraction).

32. 935− 7

58= (mixed number)

33. 847− 1

910= (mixed number)

34. 7111− 3

211= (mixed number)

35. 956− 4


36. 719− 6

15= (fraction).


74 Multiplying Mixed Numbers

1. 258× 1

37= (mixed number)

2. 313× 2

13= (mixed number)

3. 214× 2

13= (mixed number)

4. 715× 9

13= (mixed number)

5. 178× 2

35= (mixed number)

6. 334× 4

35= (mixed number)

7. 312× 2

310= (mixed number)

8. 5110× 6

13= (mixed number)

9. 1112× 1

13= (mixed number)

10. 812× 3

12= (mixed number)

11. 317× 2

12= (mixed number)

12. 1110× 3

12= (mixed number)

13. 367× 2

13=

14. 117× 3

12=

15. 115× 9

112= (mixed number)

16. 1512× 7

13= (mixed number)

17. 345× 1

19= (mixed number)

18. 338× 3

19= (mixed number)

19. 238× 1

13= (mixed number)

20. 935× 2

712= (mixed number)

21. 334× 1

79= (mixed number)

22. 634× 3

13= (mixed number)

23. 312× 2

34= (mixed number)

24. 525× 4

49=

25. 213× 4

14= (mixed number)

26. 712× 2

56= (mixed number)

27. 112× 6

59= (mixed number)

28. 223× 4

56= (mixed number)

29. 378× 1

13= (mixed number)

30. 714× 2

27= (mixed number)

31. 623× 4

14= (mixed number)

32. 116× 1

16= (mixed number)

33. 513× 4

12=

34. 817× 1

23= (mixed number)

35. 1512× 3

12= (mixed number)

36. 814× 4

14= (mixed number)


75 Dividing Mixed Numbers

1. 312÷ 1

12= (mixed number)

2. 1612÷ 4

12= (mixed number)

3. 678÷ 5

12= (mixed number)

4. 2338÷ 4

14= (mixed number)

5. 21940÷ 1

38= (mixed number)

6. 859÷ 5

12= (mixed number)

7. 33536÷ 2

89= (mixed number)

8. 44110÷ 10

12= (mixed number)

9. 21114÷ 1

67= (mixed number)

10. 8 ÷ 112= (mixed number)

11. 14710÷ 4

15= (mixed number)

12. 30112÷ 4

34= (mixed number)

13. 3727÷ 1

29= (mixed number)


15. 745÷ 7

15= (mixed number)

16. 523÷ 5

13= (mixed number)

17. 225÷ 2

15= (mixed number)

18. 1078÷ 1

12= (mixed number)

19. 1423÷ 4

25= (mixed number)

20. 412÷ 5

12= (mixed number)

21. 223÷ 3

13= (mixed number)

22. 112÷ 1

13= (mixed number)

23. 225÷ 6

7= (mixed number)

24. 1117÷ 2

47= (mixed number)

25. 31127÷ 1

13= (mixed number)

26. 3512÷ 1

112= (mixed number)

27. 967÷ 2

47= (mixed number)





32. 12 ÷ 117= (mixed number)

33. 535÷ 3

15= (mixed number)

34. 132132÷ 2

78= (mixed number)

35. 41327÷ 3

23= (mixed number)

36. 71927÷ 5

13= (mixed number)


76 Multiplying Mixed Numbers with Same Whole Number and Fractions Addto 1

1. 227× 2

57= (mixed number)

2. 635× 6

25= (mixed number)

3. 8910× 8

110= (mixed number)

4. 625× 6

35= (mixed number)

5. 10611× 10

511= (mixed number)

6. 813× 8

23= (mixed number)

7. 347× 3

37= (mixed number)

8. 149× 1

59= (mixed number)

9. 258× 2

38= (mixed number)

10. 334× 3

14= (mixed number)

11. 7112× 7


12. 879× 8

29= (mixed number)

13. 723× 7

13= (mixed number)

14. 435× 4

25= (mixed number)

15. 716× 7

56= (mixed number)

16. 858× 8

38= (mixed number)

17. 3411× 3

711= (mixed number)

18. 5112× 5


19. 858× 8

38= (mixed number)

20. 5310× 5

710= (mixed number)

21. 6910× 6

110= (mixed number)

22. 1145× 11

15= (mixed number)

23. 225× 2

35= (mixed number)

24. 1125× 11

35= (mixed number)

25. 512× 5

12= (mixed number)

26. 716× 7

56= (mixed number)

27. 1156× 11

16= (mixed number)

28. 659× 6

49= (mixed number)

29. 71011× 7

111= (mixed number)

30. 4110× 4

910= (mixed number)

31. 1027× 10

57= (mixed number)

32. 689× 6

19= (mixed number)

33. 11712× 11

512= (mixed number)

34. 914× 9

34= (mixed number)

35. 1114× 11

34= (mixed number)

36. 914× 9

34= (mixed number)


77 Multiplying Mixed Numbers with Same Fraction and Whole Numbers WhoseSum is a Multiple of the Denominator

1. 812× 2

12= (mixed number)

2. 1058× 6

58= (mixed number)

3. 61112× 6


4. 5611× 6

611= (mixed number)

5. 558× 3

58= (mixed number)

6. 334× 9

34= (mixed number)

7. 4512× 8

512= (mixed number)

8. 737× 7

37= (mixed number)

9. 10112× 2

112= (mixed number)

10. 923× 6

23= (mixed number)

11. 5710× 5

710= (mixed number)

12. 1135× 4

35= (mixed number)

13. 6910× 4

910= (mixed number)

14. 2711× 9

711= (mixed number)

15. 2910× 8

910= (mixed number)

16. 356× 9

56= (mixed number)

17. 1145× 4

45= (mixed number)

18. 118× 15

18= (mixed number)

19. 1711× 10

711= (mixed number)

20. 10611× 1

611= (mixed number)

21. 925× 1

25= (mixed number)

22. 5310× 5

310= (mixed number)

23. 1127× 3

27= (mixed number)

24. 559× 4

59= (mixed number)

25. 1910× 9

910= (mixed number)

26. 867× 6

67= (mixed number)

27. 138× 7

38= (mixed number)

28. 7811× 4

811= (mixed number)

29. 525× 10

25= (mixed number)

30. 816× 4

16= (mixed number)

31. 1079× 8

79= (mixed number)

32. 147× 6

47= (mixed number)

33. 1178× 5

78= (mixed number)

34. 11910× 9

910= (mixed number)

35. 316× 9

16= (mixed number)

36. 5611× 6

611= (mixed number)


78 Ratios

1. 12 is to 4 as is to 128

2. 3 is to 7 as 18 is to .

3. 2 is to 13 as is to 91




7. 9 is to 5 as 36 is to .

8. 5 is to 7 as 20 is to .


10. 15 is to 12 as is to 144

11. 8 is to 11 as is to 66

12. 9 is to 12 as 135 is to .

13. 12 is to 14 as is to 168

14. 2 is to 14 as is to 140

15. 9 is to 2 as 18 is to .

16. 13 is to 9 as 65 is to .

17. 14 is to 10 as is to 40

18. 11 is to 12 as is to 36

19. 1 is to 7 as 3 is to .


21. 8 is to 10 as 64 is to .


23. 14 is to 5 as 42 is to .

24. 11 is to 15 as is to 90


26. 8 is to 4 as is to 112

27. 15 is to 11 as is to 22


29. 15 is to 8 as 60 is to .

30. 5 is to 13 as 40 is to .

31. 15 is to 4 as 30 is to .

32. 9 is to 4 as 54 is to .

33. 14 is to 2 as is to 12

34. 11 is to 5 as 77 is to .

35. 8 is to 10 as 80 is to .

36. 3 is to 13 as 15 is to .

37. 11 is to 13 as 55 is to .

38. 9 is to 8 as 54 is to .

39. 10 is to 4 as is to 64



42. 9 is to 8 as 45 is to .


44. 8 is to 6 as 144 is to .

45. 11 is to 15 as 33 is to .

46. 14 is to 6 as is to 48


48. 7 is to 14 as 98 is to .

49. 5 is to 3 as 10 is to .

50. 6 is to 14 as 72 is to .


79 Consumer Questions

1. If 24 flowers cost $35.04, then 212

dozen flowers will

cost $ .

2. If 36 candies cost $2.50, then34

dozen candies will

cost $ .

3. If 7 flowers cost $32.13, then how much will 6flowers cost? $

4. If 8 cookies cost $1.32, then 2 dozen cookies willcost $ .

5. If 8 apples cost $2.00, then 5 dozen apples will cost$ .

6. If 6 bananas cost $1.44, then 3 dozen bananas willcost $ .

7. If 18 candies cost $1.96, then 2 dozen candies willcost $ .

8. If 14 sodas cost $13.58, then how much will 2 sodascost? $


10. If 6 apples cost $2.16, then34

dozen apples will cost

$ .

11. If 9 cookies cost $2.97, then how much will 14cookies cost? $


13. If 12 bananas cost $7.56, then how much will 2bananas cost? $

14. If 48 sodas cost $15.18, then 3 dozen sodas will cost$ .



17. If 3 flowers cost $4.81, then12

dozen flowers will

cost $ .

18. If 60 cookies cost $3.60, then 212

dozen cookies will

cost $ .

19. If 8 bananas cost $3.92, then how much will 11bananas cost? $

20. If 2 candies cost $0.40, then how much will 8 candiescost? $


22. If 10 candies cost $2.90, then how much will 14candies cost? $

23. If 2 flowers cost $0.00, then23

dozen flowers will

cost $ .

24. If 4 sodas cost $2.94, then 2 dozen sodas will cost $.



$ .

26. If 36 bananas cost $4.80, then14

dozen bananas will

cost $ .




$ .

29. If 18 apples cost $3.57, then 1 dozen apples will cost$ .



32. If 60 cookies cost $3.72, then 212

dozen cookies will

cost $ .


80 Square and Cubic Units

1. 0.6 square centimeters = square decimeters.

2. 108 square feet = square yards.

3. 5184 cubic inches = cubic feet.

4. 1920 acres = square miles.


6. 7 square yards = square feet.

7. 9 square miles = acres.


9. 2 square yards = square feet.

10. 1.19 square dekameters = square kilometers.

11. 11 square feet = square inches.

12. 297 cubic yards = cubic feet.

13. 864 square inches = square feet.


15. 1440 square inches = square feet.


17. 10 cubic feet = cubic inches.


19. 15 cubic decimeters = cubic meters.





24. 73 cubic meters = cubic centimeters.


26. 24.8 cubic kilograms = cubic hectograms.





31. 75 cubic dekagrams = cubic kilograms.




35. 127 cubic kilograms = cubic dekagrams.



38. 134 square hectograms = square kilograms.

39. 935 square kilometers = square dekameters.

40. 8.29 cubic hectoliters = cubic dekaliters.








48. 8.06 cubic centimeters = cubic millimeters.


50. 4 square feet = square inches.



1. 61 × 101 = .

2. 32 × 101 = .

3. 85 × 101 = .

4. 101 × 43 = .

5. 15 × 101 = .

6. 79 × 101 = .

7. 101 × 86 = .

8. 101 × 22 = .

9. 58 × 101 = .

10. 550 × 101 = .

11. 101 × 642 = .

12. 101 × 15 = .

13. 144 × 101 = .

14. 101 × 761 = .

15. 101 × 863 = .

16. 900 × 101 = .

17. 891 × 101 = .

18. 101 × 593 = .

19. 942 × 101 = .

20. 684 × 101 = .

21. 600 × 101 = .

22. 101 × 527 = .

23. 101 × 653 = .

24. 101 × 837 = .

25. 101 × 298 = .

26. 650 × 101 = .

27. 101 × 492 = .

28. 481 × 101 = .

29. 101 × 888 = .

30. 101 × 231 = .

31. 101 × 859 = .

32. 101 × 100 = .

33. 230 × 101 = .

34. 101 × 239 = .

35. 163 × 101 = .

36. 20 × 101 = .

37. 101 × 819 = .

38. 767 × 101 = .

39. 395 × 101 = .

40. 452 × 101 = .

41. 101 × 305 = .

42. 101 × 379 = .

43. 101 × 282 = .

44. 813 × 101 = .

45. 101 × 353 = .

46. 610 × 101 = .

47. 101 × 500 = .

48. 167 × 101 = .

49. 830 × 101 = .

50. 285 × 101 = .



1. 72 × 111 = .

2. 111 × 32 = .

3. 111 × 53 = .

4. 31 × 111 = .

5. 36 × 111 = .

6. 111 × 42 = .

7. 74 × 111 = .

8. 16 × 111 = .

9. 111 × 514 = .

10. 111 × 997 = .

11. 111 × 976 = .

12. 328 × 111 = .

13. 53 × 111 = .

14. 727 × 111 = .

15. 839 × 111 = .

16. 198 × 111 = .

17. 987 × 111 = .

18. 812 × 111 = .

19. 918 × 111 = .

20. 111 × 802 = .

21. 347 × 111 = .

22. 777 × 111 = .

23. 813 × 111 = .

24. 784 × 111 = .

25. 111 × 843 = .

26. 982 × 111 = .

27. 505 × 111 = .

28. 111 × 311 = .

29. 653 × 111 = .

30. 193 × 111 = .

31. 111 × 302 = .

32. 196 × 111 = .

33. 111 × 271 = .

34. 442 × 111 = .

35. 111 × 397 = .

36. 529 × 111 = .

37. 111 × 166 = .

38. 111 × 936 = .

39. 111 × 574 = .

40. 111 × 788 = .

41. 111 × 413 = .

42. 521 × 111 = .

43. 111 × 758 = .

44. 111 × 866 = .

45. 755 × 111 = .

46. 111 × 293 = .

47. 161 × 111 = .

48. 111 × 55 = .

49. 111 × 163 = .

50. 226 × 111 = .



1. 32 × 125 = .

2. 125 × 15 = .

3. 125 × 72 = .

4. 33 × 125 = .

5. 69 × 125 = .

6. 13 × 125 = .

7. 46 × 125 = .

8. 81 × 125 = .

9. 125 × 76 = .

10. 125 × 24 = .

11. 96 × 125 = .

12. 25 × 125 = .

13. 82 × 125 = .

14. 28 × 125 = .

15. 172 × 125 = .

16. 536 × 125 = .

17. 125 × 601 = .

18. 125 × 707 = .

19. 125 × 312 = .

20. 125 × 153 = .

21. 125 × 793 = .

22. 125 × 480 = .

23. 125 × 184 = .

24. 125 × 135 = .

25. 412 × 125 = .

26. 602 × 125 = .

27. 251 × 125 = .

28. 125 × 804 = .

29. 998 × 125 = .

30. 125 × 446 = .

31. 871 × 125 = .

32. 139 × 125 = .

33. 609 × 125 = .

34. 125 × 551 = .

35. 125 × 639 = .

36. 125 × 925 = .

37. 125 × 367 = .

38. 837 × 125 = .

39. 547 × 125 = .

40. 441 × 125 = .

41. 132 × 125 = .

42. 125 × 950 = .

43. 125 × 919 = .

44. 125 × 159 = .

45. 125 × 985 = .

46. 345 × 125 = .

47. 125 × 562 = .

48. 130 × 125 = .

49. 125 × 278 = .

50. 156 × 125 = .


84 Square Roots

1. The square root of 6 × 24 is .


3.√

841 = .


5.√

169 = .

6.√

256 = .

7.√

441 = .


9.√

4 = .


11.√

576 = .


13.√

484 = .

14.√

9 = .

15.√

784 = .


17.√

529 = .

18.√

225 = .

19.√

(41)2 = .

20.√

289 = .



23.√

576 = .

24.√

729 = .


26.√

289 = .


28.√

64 = .




32.√

64 = .


34.√

196 = .


36.√

4 = .


38.√

81 = .


40.√

64 = .

41.√

2500 = .

42. The square root of 15 × 20 × 3 is .

43.√

9 = .

44.√

289 = .


46.√

400 = .



49.√

42 + 32 = .

50.√

52 + 122 = .


85 Cube Roots

1. 3√216 = .

2. 3√27 = .

3. The cube root of 2 × 500 is .

4. 3√512 = .




8. 3√125 = .


10. 3√1728 = .




14. 3√27 = .


16. 3√216 = .


18. 3√729 = .


20. 3√512 = .




24. 3√27 = .

25. 3√1 = .

26. 3√512 = .


28. 3√125 = .




32. 3√27 = .

33. 3√216 = .



36. 3√1728 = .

37. 3√1331 = .

38. 3√512 = .

39. 3√1000 = .

40. 3√8 = .

41. 3√216 = .

42. 3√1 = .



45. 3√8 = .

46. 3√125 = .

47. 3√1 = .

48. 3√729 = .


50. 3√216 = .


86 Percent Problems

1. What percent of 55 is 11? %.

2. 15 is % of 135.

3. 30% of 60 is .

4. 100 is % of 120.


6. 119 is % of 170.




10. 50 is % of 70.

11. 18 is % of 180.

12. 75% of 72 is .

13. 3 is % of 9.


15. 16 is % of 160.

16. 72 is % of 126.

17. 8712

% of 64 is .


19. 162 is % of 180.

20. 2 is % of 4.

21. 9 is % of 24.

22. 8557

% of 28 is .

23. 5559

% of 63 is .

24. 6212

% of 40 is .

25. 100 is % of 180.


27. 1427

% of 35 is .

28. 8313

% of 12 is .

29. 28 is % of 126.

30. 10 is % of 30.

31. 36 is % of 40.

32. 50% of 8 is .

33. 24 is % of 30.

34. 8 is % of 64.

35. 10% of 90 is .

36. 30 is % of 36.

37. 18 is % of 24.


39. 3313

% of 63 is .



42. 7 is % of 14.

43. 3 is % of 24.

44. 24 is % of 27.

45. 1119

% of 18 is .


47. 119 is % of 170.

48. 42 is % of 140.

49. 38 is % of 57.

50. 20 is % of 24.


87 Interest and Taxes

1. The simple annual interest on $1250 for 6 years at5% is $ .




5. The simple annual interest on $150 for 7 years at 5%is $ .













18. What is the sales tax on $70.00 when the tax rate is8%? $ .


















88 Distributive Property

1. 92 × 40 + 92 × 40 = .

2. 89 × 30 + 89 × 60 = .

3. 59 × 21 + 59 × 29 = .

4. 22 × 30 + 22 × 10 = .

5. 83 × 60 + 83 × 20 = .

6. 66 × 46 + 66 × 24 = .

7. 94 × 59 + 94 × 41 = .

8. 90 × 77 + 90 × 13 = .

9. 46 × 69 + 46 × 21 = .

10. 45 × 47 + 45 × 13 = .

11. 65 × 29 + 65 × 31 = .

12. 95 × 11 + 95 × 49 = .

13. 97 × 34 + 97 × 36 = .

14. 26 × 48 + 26 × 42 = .

15. 40 × 40 + 40 × 20 = .

16. 67 × 13 + 67 × 27 = .

17. 76 × 28 + 76 × 32 = .

18. 69 × 33 + 69 × 27 = .

19. 80 × 22 + 80 × 58 = .

20. 23 × 24 + 23 × 26 = .

21. 83 × 52 + 83 × 8 = .

22. 21 × 15 + 21 × 55 = .

23. 53 × 7 + 53 × 93 = .

24. 88 × 23 + 88 × 37 = .

25. 68 × 25 + 68 × 5 = .

26. 78 × 11 + 78 × 19 = .

27. 23 × 48 + 23 × 42 = .

28. 47 × 20 + 47 × 30 = .

29. 22 × 40 + 22 × 30 = .

30. 53 × 54 + 53 × 46 = .

31. 76 × 49 + 76 × 51 = .

32. 76 × 5 + 76 × 35 = .

33. 67 × 14 + 67 × 66 = .

34. 91 × 4 + 91 × 36 = .

35. 71 × 7 + 71 × 23 = .

36. 78 × 43 + 78 × 47 = .

37. 46 × 19 + 46 × 51 = .

38. 84 × 7 + 84 × 23 = .

39. 98 × 21 + 98 × 9 = .

40. 29 × 17 + 29 × 23 = .

41. 50 × 18 + 50 × 22 = .

42. 44 × 26 + 44 × 4 = .

43. 43 × 24 + 43 × 6 = .

44. 40 × 93 + 40 × 7 = .

45. 97 × 23 + 97 × 67 = .

46. 45 × 44 + 45 × 6 = .

47. 86 × 13 + 86 × 17 = .

48. 97 × 16 + 97 × 24 = .

49. 45 × 36 + 45 × 64 = .

50. 80 × 47 + 80 × 13 = .


89 Polygons

1. How many sides does a nonagon have? .

2. How many sides does a parallelogram have?.

3. How many sides does a quadrilateral have? .

4. How many sides does a square have? .

5. How many sides does a rhombus have? .

6. How many sides does a heptagon have? .

7. How many sides does a pentagon have? .

8. How many sides does a triangle have? .

9. How many sides does an octagon have? .

10. How many sides does a heptagon have? .


12. How many sides does a septagon have? .

13. How many sides does a decagon have? .

14. How many sides does an octagon have? .

15. How many sides does a square have? .

16. How many sides does a parallelogram have?.


18. How many sides does a trapezoid have? .

19. How many sides does a triangle have? .

20. How many sides does a trapezoid have? .

90 Perimeter of Regular Polygons

1. What is the perimeter of a regular pentagon whosesides measure 13 cm? cm.

2. What is the perimeter of a regular septagon whosesides measure 20 cm? cm.

3. What is the perimeter of a regular heptagon whosesides measure 6 cm? cm.

4. What is the perimeter of a regular octagon whosesides measure 16 cm? cm.

5. What is the perimeter of a regular nonagon whosesides measure 5 cm? cm.

6. What is the perimeter of a square whose sidesmeasure 5 cm? cm.

7. What is the perimeter of a regular decagon whosesides measure 15 cm? cm.

8. What is the perimeter of a regular nonagon whosesides measure 14 cm? cm.

9. What is the perimeter of a regular decagon whosesides measure 11 cm? cm.

10. What is the perimeter of a regular septagon whosesides measure 10 cm? cm.

11. What is the perimeter of a regular heptagon whosesides measure 9 cm? cm.

12. What is the perimeter of a regular pentagon whosesides measure 11 cm? cm.

13. What is the perimeter of an equilateral trianglewhose sides measure 7 cm? cm.

14. What is the perimeter of a regular hexagon whosesides measure 3 cm? cm.

15. What is the perimeter of an equilateral triangle

whose sides measure25

cm? cm.

16. What is the perimeter of a square whose sides

measure 214

cm? cm.

17. What is the perimeter of a regular decagon whosesides measure 5.2 cm? cm.

18. What is the perimeter of a regular pentagon whose

sides measure 625

cm? cm.


91 Interior and Exterior Angles

1. What is the sum of the exterior angles of a regularpentagon? degrees.

2. What is the sum of the exterior angles of a square?degrees.

3. What is the sum of the exterior angles of a regularseptagon? degrees.

4. What is the sum of the interior angles of a regularheptagon? degrees.

5. What is the sum of the interior angles of a square?degrees.

6. What is the sum of the exterior angles of anequilateral triangle? degrees.

7. What is the sum of the exterior angles of a regularhexagon? degrees.

8. What is the measure of each exterior angle of aregular hexagon? degrees.

9. What is the measure of each exterior angle of aregular hexagon? degrees.

10. What is the sum of the interior angles of a square?degrees.

11. What is the sum of the interior angles of anequilateral triangle? degrees.

12. What is the measure of each interior angle of aregular hexagon? degrees.

13. What is the measure of each exterior angle of aregular octagon? degrees.



16. What is the sum of the interior angles of a regularseptagon? degrees.

17. What is the sum of the exterior angles of a regularhexagon? degrees.

18. What is the measure of each exterior angle of anequilateral triangle? degrees.

92 Angles of a Triangle

1. The angles of a triangle are 90◦, 20◦, and ◦.





















93 Angles of a Right Triangle

1. The acute angles of a right triangle are 36◦ and◦.






7. How many acute angles does a right triangle have?.


9. How many obtuse angles does a right triangle have?.




94 Area of a Right Triangle

1. What is the area of the right triangle whose legs are3 and 10? .





















95 Pythagorean Theorem

1. Find the perimeter of the right triangle whose legsare 12 and 9. .

2. The legs of a right triangle are 48 and 14. What isthe length of its hypotenuse? .

3. Find the area of the right triangle with leg 18 andhypotenuse 82. .




7. The legs of a right triangle are 9 and 40. What is thelength of its hypotenuse? .






13. The hypotenuse of a right triangle is 26 and one ofits legs is 10. What is the length of the other leg?

.


.


16. Find the perimeter of the right triangle with leg 12and hypotenuse 13. .




.





.


25. The hypotenuse of a right triangle is 5 and one of itslegs is 3. What is the length of the other leg?

.




29. Find the perimeter of the right triangle with leg 3 andhypotenuse 5. .

30. Find the perimeter of the right triangle with leg 8 andhypotenuse 10. .


96 Squares (polygon)

1. What is the perimeter of a square whose sidesmeasure 7? .




5. What is the side of a square whose area measures400? .

6. What is the side of a square whose perimetermeasures 16? .


8. What is the side of a square whose area measures 36?.

9. What is the side of a square whose area measures 49?.




13. What is the area of a square whose sides measure 15?.



16. What is the area of a square whose sides measure 12?.

97 Rectangles

1. What is the width of a rectangle whose length is 10and perimeter is 26? .

2. What is the perimeter of a rectangle whose length is8 and width is 4? .



5. What is the area of a rectangle whose length is 25and width is 8? .




9. What is the area of a rectangle whose length is 11and width is 3? .

10. What is the length of a rectangle whose area is 130and width is 10? .








98 Trapezoids

1. What is the area of the trapezoid with bases 3 and 1and whose height is 4? .



4. What is the height of the trapezoid whose bases are1 and 18 and whose area is 114? .





9. What is the area of the trapezoid with bases 18 and10 and whose height is 5? .

10. What is the height of the trapezoid whose bases are

15 and 10 and whose area is 11212

? .






16. What is the area of the trapezoid with bases 11 and16 and whose height is 9? .

99 Rhombuses

1. A rhombus has an area of 75. If one diagonal is 15,find the other diagonal. .

2. What is the area of the rhombus whose diagonals are16 and 18? .



5. A rhombus has an area of512

. If one diagonal is 3,find the other diagonal. .




9. A rhombus has an area of 9. If one diagonal is 1, findthe other diagonal. .






15. A rhombus has an area of1952

. If one diagonal is 13,find the other diagonal. .



100 Parallelograms

1. The base of a parallelogram is 2 and its height is 10.What is its area? .


3. The area of a parallelogram is 20. If its base is 4, findits height. .

4. The area of a parallelogram is 72. If its base is 18,find its height. .









13. The area of a parallelogram is 90. If its base is 9, findits height. .




101 Circles

1. The area of a circle is 144π. Find its circumference.π.

2. The radius of a circle is 2. Find its area. π.

3. The diameter of a circle is 24. Find itscircumference. π.

4. The radius of a circle is 14. Find its circumference.π.

5. The diameter of a circle is 4. Find its circumference.π.

6. The radius of a circle is 10. Find its circumference.π.

7. The circumference of a circle is 22π. Find its area.π.

8. The diameter of a circle is 14. Find itscircumference. π.


10. The diameter of a circle is 28. Find its area.π.

11. The area of a circle is 49π. Find its diameter..

12. The circumference of a circle is 24π. Find itsdiameter. .


14. The area of a circle is 144π. Find its radius. .




102 Cubes

1. What is the side of a cube whose volume is 512?.

2. What is the side of a cube whose total surface areameasures 54? .


4. What is the total surface area of a cube whose sidesmeasure 11? .













103 Rectangular Prisms

1. Find the volume of a rectangular prism whosedimensions are 1 by 8 by 8.

2. The total surface area of a rectangular prism is 224.Its sides are 8 by 3 by .


4. The volume of a rectangular prism is 1120. Its sidesare 14 by 8 by .





9. The sides of a rectangular prism are 3 by 3 by 5.What is its total surface area? .









104 Cylinders

1. What is the total surface area of a right circularcylinder whose radius is 5 and height is 1? π.

2. What is the volume of a right circular cylinder whoseradius is 1 and height is 9? π.

3. The volume of a right circular cylinder is 54π. If itsheight is 6, what is its radius? .


5. The volume of a right circular cylinder is 40π. If itsradius is 2, what is its height? .











16. What is the total surface area of a right circularcylinder whose radius is 4 and height is 4? π.

105 Cones

1. What is the height of a right circular cone whosevolume is 243π and radius is 9? .

2. What is the radius of a right circular cone whosevolume is 50π and height is 6? .

3. What is the volume of a right circular cone whoseradius is 3 and height is 10? π.





8. What is the radius of a right circular cone whose

volume is2503π and height is 10? .


10. What is the radius of a right circular cone whose

volume is2003π and height is 2? .



13. What is the height of a right circular cone whose

volume is43π and radius is 2? .

14. What is the height of a right circular cone whose

volume is43π and radius is 1? .



106 Spheres

1. Find the surface area of the sphere whose radius is 6.π.

2. Find the volume of a sphere whose radius 3.π.

3. Find the surface area of the sphere whose diameter is6. π.

4. Find the surface area of the sphere whose volume is4π. π.


6. Find the volume of the sphere whose radius is 2.π.

7. Find the radius of the sphere whose surface area is400π. .

8. Find the surface area of the sphere whose radius is 8.π.

9. Find the surface area of the sphere whose volume is972π. .

10. Find the volume of the sphere whose surface area is4π. π.



13. Find the volume of the sphere whose diameter is 8.π.

14. Find the radius of the sphere whose volume is1372

3π. .


16. Find the volume of the sphere whose radius is13

.π.

107 Multiplication Redistribution

1. 33 × 23 = .

2. 15 × 28 = .

3. 15 × 30 = .

4. 15 × 56 = .

5. 15 × 80 = .

6. 15 × 94 = .

7. 88 × 48 = .

8. 77 × 53 = .

9. 55 × 91 = .

10. 15 × 94 = .

11. 15 × 96 = .

12. 88 × 84 = .

13. 15 × 18 = .

14. 15 × 66 = .

15. 22 × 53 = .

16. 22 × 96 = .


108 Factorials

1. 4! = .

2. 3! = .

3. 8! = .

4. 6! ÷ 5! = .

5. 8! ÷ 7! = .

6. 1! × 2! × 3! = .

7. 5! ÷ 3! = .

8. 2! = .

9. 5! = .

10. 5! − 4! = .

11. 9! ÷ 7! = .

12. 2! ÷ 1! = .

13. 4! ÷ 5! = (decimal).

14. 3! = .

15. 9! ÷ 5! = .

16. 8! = .

109 Higher Powers

1. 210 = .

2. 28 = .

3. 54 = .

4. 44 = .

5. 29 = .

6. 25 = .

7. 33 = .

8. 54 = .

9. 26 = .

10. 27 = .

11. 28 = .

12. 33 = .

13. 24 = .

14. 25 = .

15. 26 = .

16. 26 = .


110 Exponents and Operations

1.93 × 95

94 = .

2.93 × 93

97 = .

3.34 × 34

37 = .

4.55 × 55

56= .

5.25 × 24

28 = .

6.65 × 64

67 = .

7.53 × 54

58 = .

8.42 × 44

49 = .

9.55 × 54

55= .

10.33 × 35

36= .

11.92 × 92

98 = .

12.35 × 32

36= .

13.55 × 55

53 = .

14.59 × 39

157 = .

15.25 × 45

83 = .

16.87 × 37

247 = .

111 Order of Operations with Negatives

1. (9)(1) − (2) = .

2. (3)(9) − (−5) = .

3. −7 − (−4)(5) = .

4. 3 − 2 − (−1) + (−2) = .

5. 6 − 42 = .

6. 1 − (1)(−7) = .

7. −2 − (−7)(5) = .

8. 5 − (5)(7 + 7) = .

9. 1 − 6(1 − 3) = .

10. (3)(−7) − (4) = .

11. (0)(9) − (−2) = .

12. 7 × 9 − (−9) = .

13. 3 × (−3) − (5) = .

14. −4(3 − 2 + 8) − (−5) = .

15. (−20) ÷ 4 − 3 = .

16. 2 − (4)(−5) = .


112 a2 + (3a)2

1. 92 + 272 = .

2. 112 + 332 = .

3. 82 + 242 = .

4. 132 + 392 = .

5. 182 + 542 = .

6. 462 + 1382 = .

7. 162 + 482 = .

8. 342 + 1022 = .

9. 402 + 1202 = .

10. 122 + 362 = .

11. 482 + 1442 = .

12. 362 + 1082 = .

13. 412 + 1232 = .

14. 362 + 1082 = .

15. 232 + 692 = .

16. 492 + 1472 = .

113 a2 + (2a)2

1. 82 + 162 = .

2. 122 + 242 = .

3. 142 + 282 = .

4. 302 + 602 = .

5. 92 + 182 = .

6. 342 + 682 = .

7. 192 + 382 = .

8. 242 + 482 = .

9. 342 + 682 = .

10. 322 + 162 = .

11. 542 + 272 = .

12. 222 + 442 = .

13. 152 + 302 = .

14. 482 + 962 = .

15. 352 + 702 = .

16. 372 + 742 = .


114 Special Subtraction Problem

1. 824 − 428 = .

2. 359 − 953 = .

3. 476 − 674 = .

4. 381 − 183 = .

5. 582 − 285 = .

6. 946 − 649 = .

7. 216 − 612 = .

8. 417 − 714 = .

9. 916 − 619 = .

10. 451 − 154 = .

11. 678 − 876 = .

12. 816 − 618 = .

13. 581 − 185 = .

14. 415 − 514 = .

15. 699 − 996 = .

16. 261 − 162 = .

115 Probability with sets

1. A number from 1, 2, 3, . . ., 39 is selected at random.Find the probability that the number is a factor of 39.

.


.


.


.


.


.


.


.


.


.


.


.


.


.


.


.


116 Probability with dice

1. Find the probability of rolling two dice and getting asum of 4. .






7. Find the probability of rolling two dice and getting asum of 2 or 12. .






13. Find the probability of rolling two dice and notgetting a sum of 12. .




117 Probability with coins

1. What is the probability of flipping a fair coin 8 timesand getting all heads? .


3. What is the probability of flipping a fair coin 2 timesand getting all tails? .







10. What is the probability of flipping a fair coin 10times and getting all tails? .






16. What is the probability of flipping a fair coin 10times and getting all tails? .


118 Probability with cards

1. A card is dealt at random from a standard deck of 52cards. What is the probability of getting a red card?

.

2. A card is dealt at random from a standard deck of52 cards. What is the probability of getting a blackKing? .

3. A card is dealt at random from a standard deck of 52cards. What is the probability of getting a 2?

.

4. A card is dealt at random from a standard deck of52 cards. What is the probability of getting a 6 ofhearts? .

5. A card is dealt at random from a standard deck of 52cards. What is the probability of getting a black 7?

.

6. A card is dealt at random from a standard deck of52 cards. What is the probability of getting a club?

.

7. A card is dealt at random from a standard deck of 52cards. What is the probability of getting a black 5?

.


.

9. A card is dealt at random from a standard deck of52 cards. What is the probability of getting a red 6?

.


.


.

12. A card is dealt at random from a standard deck of52 cards. What is the probability of getting a heart?

.

119 Odds

1. The probability of an event is710

. What are the oddsagainst this event? .


. What are the oddsfor this event? .





5. The odds against an event are413

. What is theprobability of this event? .











11. The odds for an event are67

. What is the probabilityof this event? .


11. What are the odds

for this event? .






120 Remainders with Operations

1. (22 × 15 + 22) ÷ 9 has a remainder of .


3. (24 + 9 × 29) ÷ 3 has a remainder of .

















































121 Base Conversions

1. 31 (base 6) = (base 4).

2. 32 (base 5) = (base 7).

3. 34 (base 5) = (base 6).

4. 101 (base 5) = (base 4).

5. 111 (base 4) = (base 2).

6. 110 (base 2) = (base 4).

7. 1110 (base 2) = (base 7).

8. 25 (base 9) = (base 2).

9. 16 (base 9) = (base 4).

10. 65 (base 7) = (base 5).

11. 61 (base 8) = (base 4).

12. 100 (base 3) = (base 6).

13. 201 (base 3) = (base 8).

14. 1100 (base 2) = (base 7).

15. 22 (base 6) = (base 4).

16. 21 (base 3) = (base 7).

17. 42 (base 5) = (base 6).

18. 1011 (base 2) = (base 8).

19. 33 (base 4) = (base 5).

20. 44 (base 6) = (base 9).

21. 35 (base 8) = (base 7).

22. 33 (base 7) = (base 3).

23. 36 (base 7) = (base 8).

24. 11 (base 2) = (base 4).

25. 24 (base 8) = (base 4).

26. 221 (base 3) = (base 5).

27. 53 (base 9) = (base 6).

28. 41 (base 5) = (base 2).

29. 20 (base 7) = (base 2).

30. 27 (base 8) = (base 3).

31. 44 (base 5) = (base 8).

32. 65 (base 8) = (base 4).

33. 51 (base 8) = (base 4).

34. 65 (base 7) = (base 6).

35. 43 (base 8) = (base 9).

36. 11001 (base 2) = (base 7).

37. 77 (base 8) = (base 9).

38. 1111 (base 2) = (base 8).

39. 27 (base 8) = (base 7).

40. 77 (base 9) = (base 8).

41. 51 (base 8) = (base 6).

42. 111 (base 4) = (base 9).

43. 30 (base 7) = (base 10).

44. 11 (base 5) = (base 7).

45. 16 (base 9) = (base 6).

46. 40 (base 5) = (base 3).

47. 67 (base 9) = (base 7).

48. 120 (base 3) = (base 9).

49. 23 (base 7) = (base 6).

50. 11101 (base 2) = (base 7).


122 Base 2

1. 211 (base 4) = (base 2).

2. 130 (base 4) = (base 2).

3. 110 (base 4) = (base 2).

4. 230 (base 4) = (base 2).

5. 110100 (base 2) = (base 8).

6. 333 (base 4) = (base 2).

7. 133 (base 4) = (base 2).

8. 10111 (base 2) = (base 4).

9. 101001 (base 2) = (base 4).

10. 330 (base 4) = (base 2).

11. 24 (base 8) = (base 2).

12. 303 (base 4) = (base 2).

13. 211 (base 4) = (base 2).

14. 54 (base 8) = (base 2).

15. 111110 (base 2) = (base 8).

16. 223 (base 4) = (base 2).

17. 40 (base 8) = (base 2).

18. 56 (base 8) = (base 2).

19. 101 (base 4) = (base 2).

20. 110011 (base 2) = (base 8).

21. 101100 (base 2) = (base 4).

22. 321 (base 4) = (base 2).

23. 110101 (base 2) = (base 8).

24. 55 (base 8) = (base 2).

25. 101110 (base 2) = (base 8).

26. 310 (base 4) = (base 2).

27. 10101 (base 2) = (base 8).

28. 111000 (base 2) = (base 8).

29. 11100 (base 2) = (base 8).

30. 110110 (base 2) = (base 4).

123 Base 3

1. 43 (base 9) = (base 3).

2. 1010 (base 3) = (base 9).

3. 16 (base 9) = (base 3).

4. 16 (base 9) = (base 3).

5. 2101 (base 3) = (base 9).

6. 221 (base 3) = (base 9).

7. 57 (base 9) = (base 3).

8. 44 (base 9) = (base 3).

9. 1001 (base 3) = (base 9).

10. 60 (base 9) = (base 3).

11. 51 (base 9) = (base 3).

12. 58 (base 9) = (base 3).

13. 2100 (base 3) = (base 9).

14. 78 (base 9) = (base 3).

15. 1210 (base 3) = (base 9).

16. 2012 (base 3) = (base 9).


124 Adding and Subtracting Bases

1. 34 (base 5) − 21 (base 5) = (base 5).

2. 47 (base 8) − 26 (base 8) = (base 8).

3. 33 (base 4) + 11 (base 4) = (base 4).

4. 40 (base 9) + 85 (base 9) = (base 9).

5. 63 (base 7) − 15 (base 7) = (base 7).

6. 56 (base 8) − 20 (base 8) = (base 8).

7. 22 (base 5) − 22 (base 5) = (base 5).

8. 31 (base 5) − 23 (base 5) = (base 5).

9. 40 (base 5) − 22 (base 5) = (base 5).

10. 30 (base 5) − 22 (base 5) = (base 5).

11. 32 (base 7) + 42 (base 7) = (base 7).

12. 44 (base 5) − 11 (base 5) = (base 5).

13. 31 (base 4) − 30 (base 4) = (base 4).

14. 45 (base 7) − 45 (base 7) = (base 7).

15. 40 (base 6) − 32 (base 6) = (base 6).

16. 33 (base 4) + 22 (base 4) = (base 4).

17. 72 (base 8) − 24 (base 8) = (base 8).

18. 32 (base 4) + 20 (base 4) = (base 4).

19. 66 (base 9) − 24 (base 9) = (base 9).

20. 56 (base 7) + 23 (base 7) = (base 7).

125 Multiplying Bases

1. 12 (base 6) × 4 (base 6) = (base 6).

2. 48 (base 9) × 8 (base 9) = (base 9).

3. 21 (base 4) × 3 (base 4) = (base 4).

4. 70 (base 8) × 2 (base 8) = (base 8).

5. 43 (base 6) × 5 (base 6) = (base 6).

6. 80 (base 9) × 3 (base 9) = (base 9).

7. 61 (base 8) × 3 (base 8) = (base 8).

8. 87 (base 9) × 2 (base 9) = (base 9).

9. 63 (base 8) × 7 (base 8) = (base 8).

10. 33 (base 8) × 5 (base 8) = (base 8).

11. 63 (base 9) × 7 (base 9) = (base 9).

12. 41 (base 5) × 4 (base 5) = (base 5).

13. 24 (base 9) × 8 (base 9) = (base 9).

14. 45 (base 6) × 4 (base 6) = (base 6).

15. 16 (base 9) × 5 (base 9) = (base 9).

16. 62 (base 7) × 3 (base 7) = (base 7).

17. 51 (base 6) × 2 (base 6) = (base 6).

18. 12 (base 4) × 3 (base 4) = (base 4).

19. 30 (base 4) × 2 (base 4) = (base 4).

20. 33 (base 7) × 3 (base 7) = (base 7).


126 Additive Inverses

1. Find the additive inverse of387

. .

2. Find the additive inverse of −49. .

3. Find the additive inverse of 87.6. .


. .

5. Find the additive inverse of −33.8. .

6. Find the additive inverse of −254

. .


8. Find the additive inverse of −196

. .


10. Find the additive inverse of 36. .




. .



. .





20. Find the additive inverse of −31.9. .

127 Multiplicative Inverses

1. Find the multiplicative inverse of 113

. .

2. Find the multiplicative inverse of 8. .

3. Find the multiplicative inverse of710

. .


. .

5. Find the multiplicative inverse of 0.25.(mixed number).


7. Find the multiplicative inverse of 4.(decimal).



. .




. .


. .


. .


. .


. .

17. Find the multiplicative inverse of 0.5. .



20. Find the multiplicative inverse of 0.04..


128 Sets

1. How many elements are in the set {8, 3, 7}? .

2. If set A = {7, 2, 5, 4} and set B = {5, 7, 9, 3, 6, 2}, howmany elements are in the set A ∪ B? .

3. If set A = {3, 5, 10, 6} and set B = {7, 3, 8, 1, 10, 9},how many elements are in the set A ∩ B? .

4. If set A = {10, 6, 1, 9, 7, 3} and set B = {10, 6, 9}, howmany elements are in the set A ∩ B? .

5. If set A = {8, 6, 5} and set B = {1, 3}, how manyelements are in the set A ∪ B? .

6. If set A = {5, 6, 2} and set B = {5, 9, 2, 1, 4, 10, 7},how many elements are in the set A ∪ B? .

7. If set A = {6, 7, 4, 9, 2} and set B = {7, 6, 3, 8}, howmany elements are in the set A ∩ B? .

8. If set A = {4, 3, 7, 1, 8, 10, 9} and set B = {5, 4}, howmany elements are in the set A ∩ B? .

9. If set A = {7, 8, 10} and set B = {10, 4, 8, 7}, howmany elements are in the set A ∪ B? .

10. If set A = {3, 7, 2, 9} and set B = {8, 10, 1}, how manyelements are in the set A ∪ B? .

11. If set A = {10, 5, 3, 8, 9, 2} and set B = {6, 1, 8, 5},how many elements are in the set A ∩ B? .

12. If set A = {5, 10, 7, 3, 8, 6} and set B = {3, 9, 1}, howmany elements are in the set A ∪ B? .

13. How many elements are in the set {8, 4}? .

14. If set A = {1, 8, 3, 9, 7, 6} and set B =

{1, 5, 2, 3, 8, 6, 7, 10}, how many elements are in theset A ∩ B? .

15. How many elements are in the set {10}? .

16. How many elements are in the set {3, 10, 4, 2, 6, 5, 8}?.

129 Average

1. Find the average of 104, 90, and 82. .

2. Find the average of 46, 48, 42, 45, and 39. .

3. Find the average of 76, 61, 66, and 73. .















130 Median

1. Find the median of 19, 45, 32, 25, 100, 78, and 37..

2. Find the median of 32, 63, 49, 5, 43, and 9. .


4. Find the median of 87, 87, 42, and 87. .


6. Find the median of 78, 23, and 51. .


8. Find the median of 3, 77, 43, 87, 60, 98, 53, and 44..

9. Find the median of 25, 20, 11, 12, 99, and 6..

10. Find the median of 1, 8, 42, 56, and 9. .



13. Find the median of 61, 71, 79, 55, and 54. .

14. Find the median of 82, 5, 9, 32, 1, and 29. .

15. Find the median of 27, 10, 87, and 57. .


131 Mode

1. Find the mode of 3, 3, 6, 1, 1, 1, and 6. .

2. Find the mode of 4, 2, 2, 5, 2, 5, 2, and 4. .



5. Find the mode of 1, 7, 1, 2, 7, 2, 3, 2, and 3. .

6. Find the mode of 4, 8, 2, 1, 6, and 6. .



9. Find the mode of 4, 4, 5, 2, 7, 7, 2, 4, and 5. .







16. Find the mode of 4, 4, 6, 3, and 1. .


132 Range

1. Find the range of 11, 17, 30, 2, and 11. .

2. Find the range of 8, 5, 6, and 11. .

3. Find the range of 2, 20, 14, 10, 25, and 7. .

4. Find the range of 23, 17, 28, 16, 7, 17, and 10..













133 Relatively Prime

1. How many positive integers less than or equal to 18are relatively prime to 18? .

















134 Triangular Numbers

1. The 7th triangular number is .


3. The 3rd triangular number is .














135 Other Figurate Numbers

1. The 5th octagonal number is .

2. The 9th heptagonal number is .

3. The 4th hexagonal number is .



6. The 3rd pentagonal number is .

7. The 7th pentagonal number is .


9. The 4th heptagonal number is .




13. The 2nd heptagonal number is .





136 Greatest Integer / Least Integer

1. The greatest integer less than or equal to√

603 is.

2. The least integer greater than or equal to 3√226 is.

3. The least integer greater than or equal to√

995 is.

4. The greatest integer less than 12π is .


184 is.

6. The greatest integer less than or equal to 3√668 is.

7. The least integer greater than or equal to 3√1100 is.



579 is.


711 is.

11. The smallest integer greater than 5π is .


965 is.



761 is.


998 is.

16. The greatest integer less than or equal to 3√318 is.


137 Repeating Decimals

1. 0.4444 . . . = (fraction).

2. 0.2222 . . . = (fraction).

3. 0.4747 . . . = (fraction).

4. 0.0888 . . . = (fraction)

5. 0.3333 . . . = (fraction).

6. 0.2424 . . . = (fraction).

7. 0.1111 . . . = (fraction).

8. 0.188188 . . . = (fraction).

9. 0.6888 . . . = (fraction)

10. 0.6666 . . . = (fraction).

11. 0.2888 . . . = (fraction)

12. 0.3666 . . . = (fraction)

13. 0.632632 . . . = (fraction).

14. 0.1666 . . . = (fraction)

15. 0.0222 . . . = (fraction)

16. 0.729729 . . . = (fraction).

17. 0.4444 . . . = (fraction).

18. 0.0303 . . . = (fraction).

19. 0.9111 . . . = (fraction)

20. 0.6666 . . . = (fraction).

21. 0.3333 . . . = (fraction).

22. 0.5555 . . . = (fraction).

23. 0.9191 . . . = (fraction).

24. 0.3030 . . . = (fraction).

25. 0.3333 . . . = (fraction)

26. 0.5959 . . . = (fraction).

27. 0.4888 . . . = (fraction)

28. 0.7444 . . . = (fraction)

29. 0.5454 . . . = (fraction)

30. 0.2222 . . . = (fraction).

31. 0.7575 . . . = (fraction).

32. 0.9666 . . . = (fraction)

33. 0.1111 . . . = (fraction).

34. 0.6363 . . . = (fraction).

35. 0.9090 . . . = (fraction).

36. 0.7777 . . . = (fraction).

37. 0.1111 . . . = (fraction).

38. 0.8888 . . . = (fraction)

39. 0.4444 . . . = (fraction).

40. 0.1333 . . . = (fraction)

41. 0.3333 . . . = (fraction).

42. 0.7373 . . . = (fraction).

43. 0.7444 . . . = (fraction)

44. 0.6666 . . . = (fraction).

45. 0.1888 . . . = (fraction)

46. 0.4444 . . . = (fraction).

47. 0.940940 . . . = (fraction).

48. 0.7777 . . . = (fraction).

49. 0.0777 . . . = (fraction)

50. 0.379379 . . . = (fraction).


138 Solving for x

1. If −7x = −7, then x = .

2. If 4x + 5 = 11x + 40, then x = .

3. If 5x = 35, then x = .

4. If 6x = 66, then x = .

5. If 5x − 3 = 10x − 33, then x = .

6. If 12x + 1 = 10x − 11, then x = .

7. If −11x = 66, then x = .

8. If 6x − 10 = 11x − 15, then x = .

9. If 4x + 5 = 6x − 19, then x = .

10. If −11x = 66, then x = .

11. If 10x = 100, then x = .

12. If 4x − 4 = 2x − 6, then x = .

13. If 9x − 1 = 2x − 15, then x = .

14. If 9x + 8 = 10x + 2, then x = .

15. If 10x − 10 = 5x + 45, then x = .

16. If −6x = −72, then x = .

17. If 8x − 1 = 11x − 25, then x = .

18. If 7x = 7, then x = .

19. If 7x − 7 = 5x − 5, then x = .

20. If −6x = −24, then x = .

21. If 2x = −16, then x = .

22. If 7x + 9 = 12x − 41, then x = .

23. If 12x = −132, then x = .

24. If 4x − 1 = 7x − 7, then x = .

25. If −12x = 132, then x = .

26. If 8x + 5 = 2x + 65, then x = .

27. If 5x − 9 = 10x − 9, then x = .

28. If 2x − 2 = 3x + 4, then x = .

29. If 10x − 4 = 9x + 2, then x = .

30. If 9x + 7 = 12x + 7, then x = .

31. If 7x − 3 = 4x − 27, then x = .

32. If −2x = −22, then x = .

33. If 4x − 6 = 5x + 4, then x = .

34. If 5x − 2 = 6x + 10, then x = .

35. If 9x = −108, then x = .

36. If 6x − 5 = 10x + 15, then x = .

37. If 8x + 2 = 7x, then x = .

38. If 8x + 6 = 11x + 24, then x = .

39. If 9x + 9 = 7x − 5, then x = .

40. If −11x = 0, then x = .

41. If 9x − 3 = 7x − 23, then x = .

42. If 2x = −8, then x = .

43. If 9x + 8 = 8x + 3, then x = .

44. If 7x + 9 = 4x − 6, then x = .

45. If 2x − 1 = 3x − 8, then x = .

46. If 6x = −48, then x = .

47. If 3x + 3 = 7x + 47, then x = .

48. If −8x = 24, then x = .

49. If −2x = 2, then x = .

50. If 5x + 10 = 10x + 50, then x = .


139 Solving Inequalities

1. If 9x − 1 > 12x − 34, then x < .

2. If 12x − 5 > 8x − 17, then x > .

3. If 12x < −60, then x < .

4. If 3x − 9 ≤ 12x + 45, then x ≥ .

5. If 3x ≥ 36, then x ≥ .

6. If 2x − 3 < 12x + 77, then x > .

7. If 9x + 2 < 6x + 26, then x < .

8. If 9x ≤ 27, then x ≤ .

9. If 8x < 88, then x < .

10. If 3x < 30, then x < .

11. If 4x < 40, then x < .

12. If 8x < −40, then x < .

13. If 8x ≤ 16, then x ≤ .

14. If 6x − 1 ≥ 4x − 15, then x ≥ .

15. If 10x > 40, then x > .

16. If 8x > −48, then x > .

17. If 5x ≤ 8x + 33, then x ≥ .

18. If 9x − 1 ≤ 10x, then x ≥ .

19. If 7x ≥ −42, then x ≥ .

20. If 4x < −16, then x < .

21. If 3x > 9, then x > .

22. If 11x < −33, then x < .

23. If 11x ≥ 44, then x ≥ .

24. If 4x − 4 > 8x − 4, then x < .

25. If 11x − 4 > 14x − 28, then x < .

26. If 12x − 6 < 7x + 54, then x < .

27. If 11x > 132, then x > .

28. If 5x + 4 < 8x + 1, then x > .

29. If 3x − 1 > 2x + 10, then x > .

30. If 8x < 48, then x < .

31. If 8x ≥ −8, then x ≥ .

32. If 4x − 5 ≤ 5x − 2, then x ≥ .

33. If 2x > 4, then x > .

34. If 12x > −72, then x > .

35. If 5x + 8 ≤ 4x + 11, then x ≤ .

36. If 11x + 5 ≥ 2x + 104, then x ≥ .

37. If 5x − 10 > 7x + 6, then x < .

38. If 2x + 1 ≤ 11x − 98, then x ≥ .

39. If 3x − 4 < 9x − 22, then x > .

40. If 12x > −12, then x > .

41. If 3x − 2 < 8x − 7, then x > .

42. If 5x ≥ 25, then x ≥ .

43. If 7x − 3 > 12x − 33, then x < .

44. If 7x − 9 ≥ 11x − 13, then x ≤ .

45. If 9x − 8 ≤ 11x − 18, then x ≥ .

46. If 8x + 1 > 7x + 1, then x > .

47. If 12x − 6 > 6x − 36, then x > .

48. If 7x + 8 ≤ 12x + 53, then x ≥ .

49. If 9x ≤ 18, then x ≤ .

50. If 5x < −5, then x < .


140 Slope and Intercepts

1. What is the slope of the line that passes through thepoints (10,−6) and (−12, 8)? .

2. What is the slope of the line that passes through thepoints (−2,−10) and (−3,−6)? .

3. What is the x-intercept of the line whose equation is−4x − 11y = −9? .

4. What is the slope of the line whose equation is9x + 5y = 3? .

5. What is the slope of the line that passes through thepoints (0, 3) and (12,−2)? .

6. What is the y-intercept of the line whose equation is−7x + 5y = 2? .

7. What is the y-intercept of the line whose equation is5x + 2y = −36? .

8. What is the slope of the line whose equation is y =−7x − 9? .

9. What is the slope of the line whose equation is7x − 2y = 0? .


11. What is the y-intercept of the line whose equation is−7x + 12y = 13? .

12. What is the y-intercept of the line whose equation is−8x − 10y = 8? .


14. What is the slope of the line whose equation is−12x − 11y = −10? .

15. What is the x-intercept of the line whose equation isx + 10y = −9? .

16. What is the slope of the line whose equation is−10x + 3y = −1? .

17. What is the y-intercept of the line whose equation is−5x − 4y = −12? .


19. What is the slope of the line perpendicular to the line

whose equation is y = −13

x + 2? .

20. What is the x-intercept of the line whose equation is5x + y = 14? .

21. What is the slope of the line whose equation is−6x − 4y = −11? .

22. What is the slope of the line whose equation is9x + 6y = 11? .

23. What is the slope of the line whose equation is4x + 11y = −4? .

24. What is the y-intercept of the line whose equation is−3x − 9y = 32? .

25. What is the x-intercept of the line whose equation is−5x − 9y = 8? . -

26. What is the slope of the line whose equation is y =−10x? .

27. What is the slope of the line whose equation is11x − 8y = 4? .

28. What is the slope of the line perpendicular to the line

whose equation is y =910

x − 5? .

29. What is the slope of the line whose equation is y =2x − 9? .

30. What is the slope of the line that passes through thepoints (14, 0) and (9, 6)? .


141 Working with f(x)

1. Find the value of f (4) when f (x) = x2 + 24x + 144..


3. Find the value of f (−7) when f (x) = 8x + 2..

4. Find the value of f (−1) when f (x) = −2x − 2..

5. Find the value of f (11) when f (x) = x2 − 16x + 64..



8. Find the value of f (4) when f (x) = x2 + 10x − 3..


10. Find the value of f (−1) when f (x) = x2 − 3x − 2..

11. Find the value of f (−3) when f (x) = x2 − 24x+ 144..


13. Find the value of f (2) when f (x) = 5x2 + 9x + 1..

14. Find the value of f (5) when f (x) = 4x2 − 3x − 5..

15. Find the value of f (−2) when f (x) = x2 + 2x + 6..

16. Find the value of f (6) when f (x) = x2 + 5x − 2..




20. Find the value of f (0) when f (x) = 2x2 − 4x − 9..




24. Find the value of f (−3) when f (x) = x2 − 10x − 9..

25. Find the value of f (−7) when f (x) = x2 − 9x + 10..

26. Find the value of f (−7) when f (x) = x2 − 18x + 81..

27. Find the value of f (−1) when f (x) = 10x−3..





142 Estimations: Addition and Subtraction

1. 703 + 190 + 407 + 299 = .

2. 713 − 812 + 1094 = .

3. 789 + 284 + 799 + 280 = .

4. 707 + 1317 − 1001 + 895 = .

5. 282 + 1306 + 1003 + 1113 = .

6. 1286 + 203 + 700 − 1219 = .

7. 1313 + 384 + 383 + 1183 = .

8. 787 + 1201 + 705 + 816 = .

9. 494 + 1119 + 1019 + 516 = .

10. 585 + 209 − 816 = .

11. 1009 + 1190 + 913 + 788 = .

12. 381 + 185 + 906 = .

13. 891 + 382 + 209 + 1008 = .

14. 283 + 482 − 702 = .

15. 1007 + 791 − 501 = .

16. 481 + 1319 + 388 = .

17. 694 + 1018 + 217 = .

18. 720 + 386 + 894 = .

19. 897 + 1083 + 892 = .

20. 884 + 515 + 1302 + 1193 = .

143 Estimations: Multiplication

1. 334 × 901 = .

2. 331 × 158 = .

3. 332 × 188 = .

4. 625 × 480 = .

5. 875 × 593 = .

6. 335 × 768 = .

7. 15 × 16 × 17 = .

8. 32 × 33 × 34 = .

9. 125 × 694 = .

10. 249 × 170 = .

11. 330 × 918 = .

12. 375 × 173 = .

13. 90 × 91 × 92 = .

14. 333 × 928 = .

15. 333 × 191 = .

16. 901 × 304 = .

17. 77 × 78 × 79 = .

18. 795 × 195 = .

19. 40 × 41 × 42 = .

20. 38 × 39 × 40 = .


144 Estimations: 142857-type Problems

1. 857 × 124 = .

2. 71428 × 248 = .

3. 7143 × 454 = .

4. 1428 × 634 = .

5. 4286 × 116 = .

6. 429 × 98 = .

7. 286 × 46 = .

8. 714 × 473 = .

9. 42857 × 353 = .

10. 1428 × 306 = .

11. 571 × 824 = .

12. 286 × 402 = .

13. 714 × 178 = .

14. 42857 × 583 = .

15. 57143 × 642 = .

16. 42857 × 591 = .

17. 71428 × 109 = .

18. 14285 × 63 = .

19. 57143 × 879 = .

20. 857 × 390 = .

145 Estimations: Division

1. 285200 ÷ 775 = .

2. 395080 ÷ 476 = .

3. 499140 ÷ 564 = .

4. 138688 ÷ 352 = .

5. 644964 ÷ 852 = .

6. 149152 ÷ 316 = .

7. 431984 ÷ 464 = .

8. 148897 ÷ 623 = .

9. 295887 ÷ 537 = .

10. 217971 ÷ 351 = .

11. 157675 ÷ 175 = .

12. 206944 ÷ 892 = .

13. 149141 ÷ 527 = .

14. 420452 ÷ 514 = .

15. 388948 ÷ 958 = .

16. 525512 ÷ 806 = .

17. 676033 ÷ 787 = .

18. 469929 ÷ 489 = .

19. 75828 ÷ 89 = .

20. 182628 ÷ 342 = .


146 Estimations: Exponents

1. 353 = .

2. 133 = .

3. 235 = .

4. 145 = .

5. 224 = .

6. 234 = .

7. 355 = .

8. 295 = .

9. 344 = .

10. 125 = .

11. 343 = .

12. 78 = .

13. 183 = .

14. 143 = .

15. 95 = .

16. 213 = .

17. 54 × 74 = .

18. 123 × 34 = .

19. 143 × 45 = .

20. 245 ÷ 26 = .

147 Estimations: Square Roots

1.√

144319 = .

2.√

910251 = .

3.√

891866 = .

4.√

869147 = .

5.√

179198 = .

6.√

251795 = .

7.√

1128798 = .

8.√

410091 = .

9.√

220409 = .

10.√

449947 = .

11.√

967575 = .

12.√

1015713 = .

13.√

585768 = .

14.√

1029926 = .

15.√

453137 = .

16.√

1118533 = .

17.√

780320 = .

18.√

1047274 = .

19.√

774092 = .

20.√

556012 = .


148 Estimations: Working with pi

1. 9π5 = .

2. 14π5 = .

3. 23π4 = .

4. 2π6 = .

5. 8π5 = .

6. 5π5 = .

7. 7π7 = .

8. 6π3 = .

9. 10π4 = .

10. 11π2 = .

11. 7π2 = .

12. 14π8 = .

13. 3π3 = .

14. 10π5 = .

15. 13π3 = .

16. 12π8 = .

17. 4π4 = .

18. 5π8 = .

19. 6π4 = .

20. 9π6 = .


Answers

1 Addition

1. 78

2. 123

3. 117

4. 48

5. 88

6. 67

7. 114

8. 124

9. 84

10. 71

11. 109

12. 185

13. 139

14. 85

15. 166

16. 33

17. 70

18. 144

19. 139

20. 160

21. 137

22. 98

23. 64

24. 101

25. 130

26. 1220

27. 1056

28. 1033

29. 775

30. 1023

31. 1107

32. 1247

33. 769

34. 1511

35. 1250

36. 808

37. 1473

38. 815

39. 483

40. 995

41. 6622

42. 8981

43. 18070

44. 16024

45. 15936

46. 5789

47. 13442

48. 12050

49. 17058

50. 10992

2 Subtraction

1. 15

2. 18

3. 49

4. 9

5. 16

6. 7

7. 20

8. 27

9. 72

10. 29

11. 36

12. 26

13. 55

14. 67

15. 33

16. 7

17. 38

18. 6

19. 6

20. 7

21. 14

22. 22

23. 71

24. 37

25. 14

26. 427

27. 146

28. 463

29. 92

30. 13

31. 669

32. 122

33. 778

34. 203

35. 14

36. 53

37. 31

38. 492

39. 55

40. 254

41. 5

42. 1191

43. 4479

44. 537

45. 3700

46. 5683

47. 2502

48. 3493

49. 3832

50. 5078

3 Multiplication

1. 128

2. 112

3. 104

4. 64

5. 48

6. 108

7. 64

8. 36

9. 135

10. 72

11. 95

12. 75

13. 72

14. 90

15. 40

16. 42

17. 20

18. 90

19. 91

20. 56

21. 60

22. 72

23. 40

24. 36

25. 96

26. 4800

27. 800000

28. 90000

29. 4000

30. 56000

31. 56000

32. 27000

33. 720000

34. 480000

35. 200000

36. 20000

37. 480

38. 6000000

39. 1400000

40. 1200000

41. 2400000

42. 160

43. 240000

44. 300000

45. 1200

46. 900000

47. 70000

48. 300000

49. 490000

50. 24000


4 Division

1. 4

2. 7

3. 4

4. 11

5. 4

6. 14

7. 7

8. 10

9. 15

10. 11

11. 4

12. 7

13. 7

14. 10

15. 8

16. 12

17. 5

18. 6

19. 8

20. 7

21. 6

22. 16

23. 4

24. 11

25. 6

26. 700

27. 30

28. 40

29. 300

30. 400

31. 30

32. 50

33. 12000

34. 20

35. 70

36. 120

37. 700

38. 400

39. 30

40. 600

41. 12000

42. 30

43. 200

44. 20

45. 70

46. 11000

47. 1100

48. 300

49. 40

50. 20

5 Multiplying and Dividing Three Numbers

1. 150

2. 450

3. 160

4. 252

5. 480

6. 168

7. 384

8. 168

9. 385

10. 480

11. 700

12. 200

13. 384

14. 224

15. 240

16. 250

17. 756

18. 484

19. 96

20. 792

21. 135

22. 720

23. 132

24. 720

25. 216

26. 10

27. 7

28. 9

29. 7

30. 3

31. 9

32. 8

33. 9

34. 10

35. 5

36. 11

37. 3

38. 11

39. 5

40. 2

41. 6

42. 3

43. 9

44. 4

45. 7

46. 9

47. 11

48. 8

49. 8

50. 2

6 Multiplication and Division Mixed

1. 81

2. 18

3. 18

4. 21

5. 30

6. 18

7. 84

8. 49

9. 36

10. 81

11. 50

12. 72

13. 27

14. 35

15. 33

16. 20

17. 16

18. 24

19. 108

20. 15

21. 24

22. 14

23. 24

24. 84

25. 24

26. 35

27. 60

28. 14

29. 90

30. 24

31. 16

32. 84

33. 108

34. 22

35. 99

36. 35

37. 10

38. 36

39. 42

40. 77

41. 21

42. 28

43. 28

44. 30

45. 48

46. 40

47. 4

48. 60

49. 120

50. 12



1. 264

2. 671

3. 385

4. 1045

5. 594

6. 1023

7. 1078

8. 1001

9. 1056

10. 418

11. 297

12. 396

13. 209

14. 154

15. 737

16. 902

17. 396

18. 374

19. 616

20. 517

21. 1089

22. 363

23. 231

24. 572

25. 462

26. 176

27. 759

28. 451

29. 253

30. 473

31. 6446

32. 3014

33. 8514

34. 4356

35. 4213

36. 10307

37. 10384

38. 9702

39. 7898

40. 9592

41. 1562

42. 1859

43. 2013

44. 6204

45. 4147

46. 4422

47. 10527

48. 2365

49. 7348

50. 10505


1. 1725

2. 800

3. 1475

4. 450

5. 2275

6. 600

7. 2425

8. 1150

9. 1300

10. 1225

11. 1850

12. 625

13. 375

14. 1600

15. 2025

16. 1875

17. 2225

18. 1150

19. 1675

20. 325

21. 2175

22. 1075

23. 1325

24. 1375

25. 450

26. 650

27. 1375

28. 1925

29. 1475

30. 2125

31. 7875

32. 13150

33. 20400

34. 3550

35. 8975

36. 4275

37. 8375

38. 6325

39. 16300

40. 20625

41. 7800

42. 24625

43. 19450

44. 21225

45. 12800

46. 6200

47. 6150

48. 22675

49. 7425

50. 19175


1. 3800

2. 2100

3. 3100

4. 2900

5. 750

6. 800

7. 3350

8. 2350

9. 4750

10. 2250

11. 3550

12. 4850

13. 3850

14. 1350

15. 2900

16. 4100

17. 2900

18. 750

19. 4450

20. 3150

21. 3600

22. 4750

23. 3950

24. 800

25. 2850

26. 1650

27. 4350

28. 3600

29. 1450

30. 4250

31. 28050

32. 35250

33. 6600

34. 19600

35. 20400

36. 45300

37. 29900

38. 20600

39. 42350

40. 38950

41. 21050

42. 16400

43. 18800

44. 47100

45. 44750

46. 40900

47. 26600

48. 44550

49. 28200

50. 37050


10 Roman Numerals

1. 66

2. 19

3. 67

4. 37

5. 24

6. 60

7. 84

8. 56

9. 89

10. 96

11. 82

12. 30

13. 48

14. 20

15. 40

16. 26

17. 88

18. 49

19. 82

20. 61

21. 57

22. 97

23. 47

24. 18

25. 76

26. 14

27. 68

28. 48

29. 65

30. 86

31. 410

32. 1056

33. 2238

34. 2684

35. 1053

36. 831

37. 2368

38. 1552

39. 1997

40. 1913

41. 297

42. 845

43. 2808

44. 1787

45. 2934

46. 1065

47. 664

48. 2526

49. 199

50. 1200

11 Roman Numerals with Operations

1. 12

2. 128

3. 63

4. 117

5. 55

6. 55

7. 26

8. 53

9. 13

10. 135

11. 49

12. 128

13. 11

14. 80

15. 76

16. 25

17. 23

18. 4

19. 84

20. 84

21. 95

22. 60

23. 32

24. 42

25. 112

26. 91

27. 8

28. 105

29. 72

30. 7

31. 75

32. 43

33. 9

34. 72

35. 34

36. 5

37. 80

38. 144

39. 76

40. 46

41. 36

42. 88

43. 9

44. 6

45. 39

46. 60

47. 58

48. 24

49. 16

50. 5

12 Place Values

1. 6

2. 3

3. 1

4. 6

5. 7

6. 3

7. 3

8. 4

9. 9

10. 6

11. 5

12. 5

13. 1

14. 2

15. 3

16. 0

17. 7

18. 0

19. 7

20. 3

13 Rounding Numbers

1. 43662

2. 635000

3. 8481.9

4. 910000

5. 8915.6

6. .398

7. 25.56

8. 94590

9. 829000

10. 211.68

11. 8460

12. .4498

13. 918.5

14. 10000

15. 93800

16. 24.5

17. 41370

18. 5404

19. 6.37

20. 618.4


14 Expanded Notation

1. 4739

2. 761

3. 457

4. 420

5. 601

6. 178

7. 732

8. 117

9. 158

10. 620

11. .973

12. 401

13. 3740

14. 5609

15. 355

16. 9443

17. 366

18. 7578

19. 3803

20. 3230

21. 6043

22. 1663

23. 6084

24. 9537

25. 9980

26. 5680

27. 246

28. 2185

29. 786

30. 202

31. 8023

32. 4870

33. 508

34. 7375

35. .435

36. 4349

37. 6403

38. .765

39. 1031

40. 9202

41. 7160

42. 984

43. 7034

44. 7114

45. 408

46. 7703

47. 8261

48. 5350

49. .977

50. 1927


1. 420

2. 1104

3. 876

4. 192

5. 780

6. 288

7. 1188

8. 624

9. 396

10. 1092

11. 1044

12. 384

13. 300

14. 324

15. 1140

16. 1044

17. 948

18. 984

19. 744

20. 492

21. 876

22. 972

23. 1176

24. 408

25. 588

26. 888

27. 1056

28. 684

29. 276

30. 1116

31. 3972

32. 7176

33. 1404

34. 11676

35. 6864

36. 7608

37. 6936

38. 2796

39. 5556

40. 3324

41. 2436

42. 9408

43. 8700

44. 8124

45. 4836

46. 3072

47. 8316

48. 10848

49. 2712

50. 5208


1. 1

2. 1

3. 0

4. 1

5. 0

6. 0

7. 0

8. 0

9. 1

10. 1

11. 0

12. 1

13. 1

14. 0

15. 1

16. 1

17. 0

18. 0

19. 0

20. 0


1. 1

2. 0

3. 2

4. 1

5. 0

6. 2

7. 2

8. 0

9. 1

10. 1

11. 1

12. 1

13. 0

14. 0

15. 2

16. 2

17. 1

18. 1

19. 1

20. 1



1. 0

2. 2

3. 2

4. 2

5. 2

6. 0

7. 2

8. 1

9. 1

10. 2

11. 1

12. 1

13. 1

14. 2

15. 3

16. 2

17. 0

18. 0

19. 3

20. 3


1. 0

2. 4

3. 2

4. 1

5. 0

6. 3

7. 3

8. 1

9. 0

10. 4

11. 4

12. 2

13. 0

14. 1

15. 2

16. 4

17. 0

18. 1

19. 3

20. 2


1. 2

2. 5

3. 7

4. 7

5. 6

6. 7

7. 0

8. 4

9. 4

10. 5

11. 4

12. 4

13. 5

14. 4

15. 1

16. 4

17. 0

18. 4

19. 3

20. 5


1. 4

2. 1

3. 7

4. 7

5. 0

6. 8

7. 3

8. 8

9. 4

10. 0

11. 2

12. 7

13. 3

14. 4

15. 8

16. 0

17. 0

18. 4

19. 4

20. 6


1. 8

2. 1

3. 9

4. 9

5. 2

6. 5

7. 8

8. 9

9. 4

10. 2

11. 6

12. 9

13. 9

14. 4

15. 3

16. 5

17. 5

18. 7

19. 7

20. 3

23 Remainders in general

1. 4

2. 8

3. 3

4. 0

5. 8

6. 0

7. 0

8. 4

9. 2

10. 2

11. 0

12. 4

13. 3

14. 3

15. 2

16. 5

17. 2

18. 4

19. 3

20. 2


24 Division with multiples

1. 405

2. 103

3. 502

4. 101

5. 205

6. 602

7. 102

8. 404

9. 108

10. 703

25 Adding Numbers in Sequence (short)

1. 96

2. 80

3. 150

4. 210

5. 177

6. 110

7. 135

8. 80

9. 51

10. 30

11. 120

12. 252

13. 185

14. 80

15. 60

16. 57

17. 54

18. 50

19. 125

20. 111

21. 160

22. 1520

23. 275

24. 875

25. 252

26. 405

27. 524

28. 420

29. 312

30. 236

31. 19175

32. 2835

33. 204

34. 294

35. 5400

36. 1020

37. 470

38. 432

39. 1240

40. 259

26 Odd and Even Numbers

1. 4

2. 6

3. 4

4. 9

5. 11

6. 16

7. 12

8. 12

9. 4

10. 11

27 Squares (1-20)

1. 64

2. 100

3. 169

4. 225

5. 324

6. 9

7. 25

8. 1

9. 256

10. 121

11. 16

12. 400

13. 361

14. 16

15. 36

16. 361

17. 4

18. 121

19. 144

20. 81

21. 1

22. 49

23. 100

24. 169

25. 16

26. 400

27. 289

28. 256

29. 64

30. 9

31. 4

32. 256

33. 25

34. 81

35. 361

36. 196

37. 100

38. 16

39. 289

40. 81

41. 169

42. 4

43. 49

44. 121

45. 256

46. 324

47. 16

48. 361

49. 289

50. 324



1. 19

2. 18

3. 2

4. 15

5. 6

6. 8

7. 4

8. 13

9. 7

10. 16

11. 5

12. 12

13. 20

14. 17

15. 14

16. 5

17. 2

18. 4

19. 6

20. 16

21. 10

22. 8

23. 1

24. 12

25. 5

26. 14

27. 15

28. 3

29. 11

30. 5

31. 20

32. 13

33. 18

34. 6

35. 15

36. 8

37. 20

38. 19

39. 16

40. 3

41. 5

42. 6

43. 9

44. 15

45. 19

46. 14

47. 17

48. 9

49. 13

50. 4


1. 2250

2. 1800

3. 5100

4. 5625

5. 3600

6. 1200

7. 6150

8. 1350

9. 3225

10. 5475

11. 3675

12. 4425

13. 7200

14. 5925

15. 6675

16. 2625

17. 1950

18. 5325

19. 3600

20. 3900

21. 6600

22. 1875

23. 7125

24. 4125

25. 1425

26. 4500

27. 2025

28. 1275

29. 3000

30. 2700

31. 5775

32. 825

33. 4200

34. 3675

35. 1800

36. 2025

37. 3375

38. 5250

39. 5475

40. 7275

41. 600

42. 825

43. 2700

44. 3975

45. 7350

46. 1950

47. 7425

48. 2625

49. 4275

50. 6525

30 Multiplying Two Numbers with Ones Digits Sum of 10, Same Tens Digits

1. 2009

2. 621

3. 216

4. 5616

5. 216

6. 2021

7. 3016

8. 7224

9. 5621

10. 2016

11. 9025

12. 5624

13. 3024

14. 7216

15. 9021

16. 1216

17. 9016

18. 621

19. 3021

20. 4209

21. 7224

22. 1225

23. 1224

24. 621

25. 624

26. 7209

27. 209

28. 2021

29. 1209

30. 4221

31. 3021

32. 9009

33. 4225

34. 2009

35. 7209

36. 625

37. 1216

38. 5609

39. 209

40. 7225

41. 4224

42. 7221

43. 224

44. 609

45. 1221

46. 9009

47. 4209

48. 5616

49. 1225

50. 9021


31 Multiplying Two Digits Numbers (LOIF)

1. 1274

2. 4160

3. 3784

4. 2210

5. 1722

6. 448

7. 7332

8. 7857

9. 3876

10. 1664

11. 3431

12. 6348

13. 6708

14. 1134

15. 3526

16. 8091

17. 2464

18. 8330

19. 1767

20. 4074

21. 4416

22. 3724

23. 3905

24. 987

25. 7614

26. 1888

27. 4655

28. 1395

29. 897

30. 945

31. 364

32. 1330

33. 1785

34. 2208

35. 3055

36. 840

37. 1505

38. 4275

39. 3496

40. 6885

41. 2583

42. 1296

43. 7410

44. 1064

45. 5934

46. 3696

47. 1242

48. 1088

49. 5192

50. 1736

32 Multiplying Two Numbers with Both Numbers Close to and Greater Than 100

1. 11235

2. 10815

3. 11772

4. 10608

5. 11448

6. 11449

7. 11235

8. 11772

9. 10302

10. 11118

11. 10710

12. 10302

13. 11336

14. 11128

15. 11130

16. 10710

17. 11016

18. 11024

19. 11016

20. 11554

21. 11663

22. 10403

23. 10918

24. 11025

25. 10605

26. 11336

27. 10201

28. 11130

29. 10605

30. 11336

31. 11554

32. 11445

33. 11342

34. 10812

35. 11449

36. 11009

37. 10908

38. 10920

39. 10302

40. 11336

41. 11236

42. 10920

43. 10710

44. 11118

45. 10710

46. 10706

47. 11554

48. 11663

49. 10816

50. 11554

33 Multiplying Two Numbers with Both Numbers Close to and Less Than 100

1. 9306

2. 9025

3. 9215

4. 9604

5. 9118

6. 9603

7. 8645

8. 8736

9. 8918

10. 9504

11. 8827

12. 9306

13. 8740

14. 9604

15. 9603

16. 8648

17. 9216

18. 8556

19. 8281

20. 8648

21. 9118

22. 8649

23. 9009

24. 9405

25. 8835

26. 9506

27. 9504

28. 9409

29. 9118

30. 9212

31. 8742

32. 9024

33. 8928

34. 8736

35. 9207

36. 9702

37. 8742

38. 8742

39. 9312

40. 8554

41. 9025

42. 8645

43. 8372

44. 8924

45. 9024

46. 9114

47. 9312

48. 9408

49. 8281

50. 8645


34 Squares (21-30)

1. 676

2. 784

3. 529

4. 841

5. 729

6. 625

7. 576

8. 784

9. 484

10. 441

11. 900

12. 576

13. 484

14. 529

15. 841

16. 441

17. 625

18. 784

19. 484

20. 729

21. 676

22. 841

23. 441

24. 625


1. 26

2. 29

3. 23

4. 28

5. 21

6. 22

7. 27

8. 25

9. 22

10. 24

11. 28

12. 29

13. 25

14. 30

15. 26

16. 21

17. 28

18. 24

19. 25

20. 22

21. 30

22. 29

23. 23

24. 27

36 Multiplying Two Numbers Centered Around a Third Number (x10)

1. 2464

2. 3551

3. 2484

4. 375

5. 6336

6. 2491

7. 4891

8. 391

9. 8064

10. 1575

11. 8051

12. 3519

13. 864

14. 891

15. 6319

16. 899

17. 6319

18. 6351

19. 8051

20. 6396

21. 6364

22. 364

23. 1536

24. 1519

25. 6375

26. 8084

27. 8075

28. 1551

29. 2436

30. 864

31. 875

32. 6375

33. 6336

34. 8084

35. 6364

36. 1596

37. 3564

38. 319

39. 391

40. 8096

41. 4864

42. 1536

43. 884

44. 4884

45. 2491

46. 1584

47. 319

48. 4891

49. 8084

50. 2436

37 Multiplying Two Numbers Centered Around a Third Number (any)

1. 520

2. 660

3. 840

4. 675

5. 667

6. 840

7. 728

8. 575

9. 255

10. 468

11. 320

12. 399

13. 672

14. 520

15. 483

16. 480

17. 216

18. 621

19. 192

20. 216

21. 672

22. 560

23. 396

24. 675

38 Difference of Two Squares

1. 396

2. 1400

3. 440

4. 1683

5. 1160

6. 2484

7. 315

8. 3528

9. 891

10. 1133

11. 31

12. 2000

13. 4560

14. 3825

15. 87

16. 1991

17. 2464

18. 2975

19. 2520

20. 4851

21. 2236

22. 2520

23. 8280

24. 851


39 Multiplying Two Numbers Ending in 5

1. 6175

2. 3325

3. 1875

4. 1275

5. 5525

6. 1875

7. 3375

8. 6175

9. 1125

10. 6375

11. 2625

12. 1125

13. 5525

14. 1925

15. 675

16. 975

17. 1125

18. 5525

19. 975

20. 375

21. 6175

22. 1625

23. 1275

24. 875

40 Prime Numbers (how many?)

1. 2

2. 2

3. 2

4. 3

5. 3

6. 4

7. 2

8. 2

9. 3

10. 1

11. 2

12. 3

13. 1

14. 2

15. 3

16. 2

41 Prime Numbers (prev/next?)

1. 67

2. 71

3. 73

4. 89

5. 53

6. 47

7. 83

8. 11

9. 17

10. 23

11. 71

12. 61

42 Positive Integral Divisors (how many?)

1. 6

2. 6

3. 6

4. 2

5. 4

6. 12

7. 2

8. 6

9. 12

10. 3

11. 4

12. 6

13. 4

14. 2

15. 8

16. 4

17. 8

18. 6

19. 3

20. 3

21. 8

22. 12

23. 8

24. 2

43 Positive Integral Divisors (sum)

1. 72

2. 195

3. 234

4. 78

5. 72

6. 156

7. 42

8. 42

9. 40

10. 31

11. 120

12. 168

13. 24

14. 57

15. 127

16. 15

17. 224

18. 144

19. 24

20. 48

21. 96

22. 12

23. 40

24. 171

25. 121

26. 144

27. 31

28. 40

29. 104

30. 56

44 Greatest Common Divisor (GCD)

1. 14

2. 9

3. 2

4. 1

5. 4

6. 12

7. 2

8. 3

9. 43

10. 4

11. 2

12. 1

13. 61

14. 2

15. 2

16. 4

17. 2

18. 13

19. 5

20. 1

21. 5

22. 3

23. 5

24. 28


45 Least Common Multiple (LCM)

1. 520

2. 540

3. 336

4. 120

5. 270

6. 176

7. 144

8. 176

9. 728

10. 84

11. 24

12. 210

13. 108

14. 110

15. 416

16. 312

17. 208

18. 36

19. 88

20. 30

21. 175

22. 260

23. 783

24. 42

46 Metric Conversions

1. 861

2. 1300

3. .919

4. 780

5. 346

6. 16.1

7. 73800

8. 3.23

9. 807

10. .0017

11. 908

12. 99500

13. 28500

14. 2270

15. 2.71

16. 56.5

17. 12

18. 64500000

19. 33.5

20. 8000

21. 947

22. 391000

23. .00558

24. 1830

25. 91800

26. 3340

27. 4520

28. .0845

29. 51.4

30. 1910000

31. .00466

32. .0836

33. 8.02

34. 58100000

35. .00349

36. .0309

37. 32.8

38. 4260

39. 6800

40. .906

41. .0898

42. 4190

43. .0068

44. 1590000

45. .00375

46. 3610

47. 843000

48. .000004

49. 286

50. 64.2

47 English Conversions – Length

1. 8

2. 36960

3. 2

4. 8

5. 72

6. 324

7. 14080

8. 21120

9. 42240

10. 6

11. 9

12. 2

13. 24

14. 31680

15. 26400

16. 3

17. 15840

18. 3520

19. 10

20. 2

48 English Conversions – Weight

1. 2

2. 72000

3. 2

4. 10

5. 8

6. 224

7. 60000

8. 80000

9. 22

10. 35

11. 48

12. 23

13. 9

14. 16

15. 2

16. 4000

17. 176

18. 46000

19. 160

20. 92000

49 English Conversions – Volume

1. 11

2. 11

3. 32

4. 384

5. 11

6. 768

7. 8

8. 72

9. 9

10. 8

11. 112

12. 8

13. 288

14. 1536

15. 128

16. 160

17. 2

18. 3

19. 8

20. 512


50 English Conversions – Time

1. 180

2. 9

3. 4

4. 72

5. 5

6. 28800

7. 6

8. 48

9. 600

10. 264

11. 2

12. 288

13. 300

14. 3

15. 4

16. 264

17. 28800

18. 6

19. 120

20. 39600

51 English Conversions – Money

1. 280

2. 10

3. 14

4. 47

5. 217

6. 53

7. 72

8. 5

9. 10

10. 40

11. 450

12. 19

13. 14

14. 2

15. 10

16. 18

17. 50

18. 9

19. 7

20. 4

52 Sequences

1. 43

2. 400

3. 170

4. 216

5. 341

6. 58

7. 26

8. 121

9. 42

10. 216

11. 196

12. 48

13. 730

14. 39

15. 144

16. 50

17. 25

18. 56

53 Sum of Consecutive Whole Numbers

1. 21

2. 45

3. 1770

4. 75

5. 210

6. 115

7. 3240

8. 1770

9. 259

10. 264

11. 170

12. 3160

13. 36

14. 120

15. 210

16. 820

17. 145

18. 165

19. 221

20. 66

54 Sum of Odd Whole Numbers

1. 221

2. 195

3. 841

4. 2209

5. 209

6. 192

7. 169

8. 336

9. 140

10. 225

11. 308

12. 392

13. 209

14. 216

15. 255

16. 275

17. 117

18. 253

19. 1681

20. 771


55 Order of Operations

1. 91

2. 22

3. 54

4. 12

5. 26

6. 22

7. 10

8. 24

9. 13

10. 20

11. 11

12. 17

13. 18

14. 31

15. 13

16. 55

17. 29

18. 18

19. 9

20. 13

21. 17

22. 98

23. 63

24. 21

25. 14

26. 88

27. 33

28. 28

29. 36

30. 13

31. 40

32. 45

33. 18

34. 56

35. 57

36. 13

37. 153

38. 164

39. 26

40. 50

41. 85

42. 8

43. 48

44. 14

45. 35

46. 41

47. 86

48. 37

49. 6

50. 4

56 Squares (31-40)

1. 1296

2. 1089

3. 1156

4. 1521

5. 1024

6. 1225

7. 961

8. 1089

9. 1521

10. 1225

11. 1521

12. 961

13. 1156

14. 1024

15. 1521

16. 1444

17. 1296

18. 1369

19. 961

20. 1444

57 Squares (41-50)

1. 1936

2. 2304

3. 2401

4. 2209

5. 2304

6. 2116

7. 1849

8. 1764

9. 1681

10. 2025

11. 1764

12. 2116

13. 2025

14. 1681

15. 2025

16. 1849

17. 2304

18. 1764

19. 2209

20. 1681

58 Squares (51-60)

1. 3136

2. 3600

3. 2704

4. 2916

5. 2601

6. 2809

7. 3481

8. 2916

9. 3249

10. 3025

11. 3136

12. 3600

13. 2601

14. 3481

15. 2809

16. 3025

17. 3249

18. 2704

19. 2916

20. 2601

59 Squares of Numbers Ending in 5

1. 225

2. 1225

3. 5625

4. 3025

5. 625

6. 5625

7. 225

8. 4225

9. 3025

10. 5625

11. 2025

12. 5625

13. 9025

14. 4225

15. 3025

16. 2025

17. 1225

18. 4225

19. 7225

20. 2025


60 Cubes (1-12)

1. 216

2. 1000

3. 343

4. 1728

5. 512

6. 8

7. 27

8. 729

9. 64

10. 1331

11. 8

12. 27

13. 1

14. 512

15. 1331

16. 343

17. 1728

18. 512

19. 729

20. 27

61 Common Fractions to Percents

1. 1427

2. 3313

3. 10

4. 3313

5. 50

6. 1623

7. 25

8. 4449

9. 70

10. 27311

11. 8557

12. 75

13. 75

14. 60

15. 7779

16. 1212

17. 3313

18. 54611

19. 50

20. 1119

21. 1623

22. 4123

23. 75

24. 1623

25. 9123

26. 4267

27. 1623

28. 8889

29. 27311

30. 9123

31. 70

32. 5717

33. 25

34. 30

35. 455

11

36. 273

11

37. 4267

38. 50

39. 9123

40. 5813

41. 3712

42. 5813

43. 1119

44. 8889

45. 9123

46. 8313

47. 90

48. 3313

49. 1212

50. 20

62 Changing Decimals, Percents, and Fractions

1.13100

2. 93

3. 84

4. 664

5. .58

6. 192

7. .69

8. .59

9.99100

10. 88

11. .51

12. 4

13. 917

14. 23

15. 972

16. .91

17. 54

18. 70

19.3750

20.37100

21.2950

22. 284

23. 353

24. .45

25. 92

26. 60

27. .8

28. 954

29. 283

30. 489

31. .6

32. 871

33. .85

34. 5

35.3350

36. 33

37. 921

38. .44

39. 988

40. 757

41.925

42. 777

43.4950

44. 399

45. 978

46. 696

47. 517

48. 24

49. 59

50. .28


63 Adding and Subtracting Decimals

1. 87.428

2. 8.162

3. 14.3

4. 1.034

5. 48.34

6. 3.317

7. .094

8. 8.6

9. 1.803

10. 1.11

11. 86.931

12. 7.663

13. 87.07

14. 42.68

15. 63.296

16. 1.785

17. 3.966

18. 12.43

19. 92.178

20. .526

21. 3.785

22. 2.326

23. 183.5

24. 79.924

25. .46

26. 45.02

27. 4.259

28. 90.9

29. 124

30. 63.2

31. 17.82

32. 92.91

33. 17.6

34. .17

35. 1.479

36. 32.843

37. 9.239

38. 39.18

39. 82.12

40. 27.99

41. 3.992

42. 35.837

43. 1.48

44. 16.56

45. 1.058

46. 5.17

47. 12.52

48. 3.95

49. .776

50. 53.158

64 Multiplying and Dividing Decimals

1. .0295

2. .423

3. .006

4. .392

5. .016

6. .513

7. 1.8

8. .34

9. 2.72

10. 1.32

11. 7

12. .0093

13. .92

14. .376

15. .95

16. 9.9

17. .18

18. .088

19. .0098

20. .0071

21. .539

22. .41

23. .23

24. .82

25. .13

26. 2.9

27. 7.4

28. .9

29. 2.5

30. 9.8

31. .38

32. 9

33. .081

34. 2.12

35. .568

36. 5.6

37. .92

38. .0335

39. .91

40. .067

41. .0234

42. 8.3

43. .164

44. .0082

45. .644

46. .088

47. .79

48. .53

49. 4

50. .91

65 Comparing Fractions

1.215

2.14

3.13

4.619

5.1419

6.78

7.17

8.611

9.34

10.25

11.25

12.12

13.1119

14.1011

15.12

16.23

17.23

18.19

19.611

20.25

21.56

22.1017

23.1619

24.12

25.19

26.19

27.12

28.1315

29.415

30.1617

31.415

32.811

33.417

34.12

35.37

36.519

37.18

38.12


66 Adding and Subtracting Fractions with Common Denominators

1. 159

;149

2.23

3.27

4.34

;.75

5.919

6.35

;.6

7. 125

;75

;1.4

8. − 213

9.817

10. −13

11.14

;.25

12.1619

13.613

14. − 213

15. 1

16.59

17. −14

;−0.25

18.1219

67 Adding and Subtracting Fractions with Different Denominators

1.712

2.78

;.875

3.712

4.2756

5.5877

6. 1433

;3733

7. 11972

;9172

8. 1988

;9788

9. 1121

;2221

10.522

11.14

;.25

12.710

;.7

13.1120

;.55

14. 1722

;2922

15.635

16.755

17.112

18.3233

68 Special Fraction Sum: a/b + b/a

1. 2190

2. 2910

3. 23655

4. 2940

5. 21645

6. 21

182

7. 225126

8. 21

210

9. 23655

10. 23691

11. 2112

12. 2970

13. 21

110

14. 21

132

15. 2463

16. 23655

17. 22566

18. 21645

69 Special Fraction Sum: a/b + b/(a+b)

1. 14

143

2. 11677

3. 1172

4. 1435

5. 19

154

6. 116117

7. 1142

8. 149228

9. 1970

10. 1988

11. 1121276

12. 12584

13. 149228

14. 149198

15. 11

132

16. 136187

17. 125204

18. 1940


70 Multiplying Fractions

1.720

;.35

2.12

;.5

3.322

4.524

5.118

6.340

;.075

7.1499

8.142

9.1128

10.10121

11.12

;.5

12.1455

13.140

;.025

14.29

15.548

16.881

17.4990

18.1855

19.25

;.4

20.956

21.118

22.127

23.116

;.0625

24.1132

25.2566

26.1235

27.110

;.1

28.1140

;.275

29.25

;.4

30.118

31.27

32.118

33.38

;.375

34.527

35.411

36.112

71 Dividing Fractions

1. 129

;119

2. 1855

;6355

3.2021

4.916

;.5625

5. 3524

;7724

6. 123

;53

7.35

;.6

8.736

9. 2

10. 114

;54

;1.25

11. 2110

;2110

;2.1

12. 313

;103

13.3655

14.411

15.49

16. 313

;103

17. 134

;74

;1.75

18.34

;.75

19.815

20.916

;.5625

21. 114

;54

;1.25

22.12

23. 3

24. 245

;145

;2.8

25.3536

26. 113

;43

27.527

28. 115

;65

;1.2

29.57

30.29

31. 115

;65

;1.2

32.35

;.6

33.1136

34.314

35.320

;.15

36.710

;.7

72 Adding Mixed Numbers

1. 656

2. 1234

3. 4712

4. 823

5. 545

6. 1038

7. 1714

8. 1137

9. 1419

10. 1123

11. 19512

12. 12722

13. 42536

14. 62940

15. 101118

16. 81718

17. 838

18. 18815

19. 12

20. 112556

21. 8320

22. 151740

23. 12130

24. 155388

25. 61112

26. 101720

27. 121

40

28. 131740

29. 9121

30. 8120

31. 131

10

32. 25455

33. 31120

34. 1516

35. 128

15

36. 1458


73 Subtracting Mixed Numbers

1. 212

2. 335

3. 613

4. 214

5. 158

6. 6112

7. 114

8.35

9. 27277

10. 44966

11. 4124

12.34

13. 71136

14. 4524

15. 61318

16. 3518

17. 3112

18. 51766

19. 7322

20. 4124

21.4577

22. 43170

23. 656

24. 26584

25. 31336

26.2956

27. 61972

28. 16577

29. 34372

30.988

31.2528

32. 13940

33. 64770

34. 31011

35. 41112

36.4145

74 Multiplying Mixed Numbers

1. 112936

2. 963121

3. 22427

4. 6715

5. 51320

6. 1714

7. 22120

8. 312370

9. 561348

10. 2419

11. 91924

12. 31720

13. 45935

14. 151011

15. 10910

16. 641936

17. 412950

18. 232932

19. 23748

20. 601730

21. 146263

22. 2135

23. 2718

24. 48350

25. 91112

26. 7334

27. 956

28. 1289

29. 248396

30. 427

24

31. 2813

32. 31354

33. 2912

34. 101333

35. 821948

36. 531120

75 Dividing Mixed Numbers

1. 213

2. 323

3. 114

4. 512

5. 145

6. 159

7. 138

8. 415

9. 112

10. 513

11. 312

12. 613

13. 223

14. 225

15. 1112

16. 1116

17. 1111

18. 714

19. 313

20.911

21.45

; .8

22. 118

23. 245

24. 413

25. 259

26. 3213

27. 356

28. 115

29. 323

30. 445

31. 712

32. 1012

33. 134

34. 434

35. 129

36. 149


76 Multiplying Mixed Numbers with Same Whole Number and Fractions Add to 1

1. 61049

2. 42625

3. 729

100

4. 42625

5. 11030121

6. 7229

7. 121249

8. 22081

9. 61564

10. 12316

11. 5611144

12. 721481

13. 5629

14. 20625

15. 56536

16. 721564

17. 1228121

18. 3011144

19. 721564

20. 3021100

21. 429

100

22. 132425

23. 6625

24. 132625

25. 3014

26. 565

36

27. 132536

28. 422081

29. 5610

121

30. 209

100

31. 1101049

32. 428

81

33. 13235144

34. 903

16

35. 132316

36. 903

16

77 Multiplying Mixed Numbers with Same Fraction and Whole Numbers Whose Sum is a Multiple of the Denom-inator

1. 2114

2. 702564

3. 47121144

4. 3636121

5. 202564

6. 36916

7. 3725144

8. 55949

9. 211

144

10. 6449

11. 3249100

12. 53925

13. 3381100

14. 2549121

15. 2581100

16. 372536

17. 561625

18. 17164

19. 1749121

20. 1636121

21. 13425

22. 289

100

23. 37449

24. 252581

25. 1881

100

26. 603649

27. 109

64

28. 3664

121

29. 564

25

30. 341

36

31. 944981

32. 101649

33. 694964

34. 11781100

35. 291

36

36. 3636

121

78 Ratios

1. 384

2. 42

3. 14

4. 72

5. 60

6. 91

7. 20

8. 28

9. 63

10. 180

11. 48

12. 180

13. 144

14. 20

15. 4

16. 45

17. 56

18. 33

19. 21

20. 24

21. 80

22. 24

23. 15

24. 66

25. 189

26. 224

27. 30

28. 8

29. 32

30. 104

31. 8

32. 24

33. 84

34. 35

35. 100

36. 65

37. 65

38. 48

39. 160

40. 28

41. 45

42. 40

43. 12

44. 108

45. 45

46. 112

47. 9

48. 196

49. 6

50. 168


79 Consumer Questions

1. 131.40

2. 2.25

3. 27.54

4. 7.92

5. 30.00

6. 17.28

7. 6.72

8. 1.94

9. 22.20

10. 6.48

11. 4.62

12. 5.18

13. 1.26

14. 49.68

15. 9.20

16. 11.52

17. 28.86

18. 9.00

19. 5.39

20. 1.60

21. 5.80

22. 4.06

23. 42.40

24. 35.28

25. 4.26

26. 1.44

27. 6.96

28. 6.48

29. 6.12

30. 2.61

31. 55.2

32. 9.30

80 Square and Cubic Units

1. 60

2. 12

3. 3

4. 3

5. 11

6. 63

7. 5760

8. 2

9. 18

10. 11900

11. 1584

12. 11

13. 6

14. 3

15. 10

16. 135

17. 17280

18. 54

19. 15000

20. 7

21. 9

22. 8

23. 17280

24. 7.3E − 5

25. 5

26. .0248

27. 6400

28. 2

29. 9

30. 5760

31. 75000000

32. 6912

33. 17280

34. 9

35. .000127

36. 7040

37. 12

38. 13400

39. .0935

40. .00829

41. 2560

42. 9

43. 8

44. 7

45. 8

46. 17280

47. 10

48. .00806

49. 3

50. 576


1. 6161

2. 3232

3. 8585

4. 4343

5. 1515

6. 7979

7. 8686

8. 2222

9. 5858

10. 55550

11. 64842

12. 1515

13. 14544

14. 76861

15. 87163

16. 90900

17. 89991

18. 59893

19. 95142

20. 69084

21. 60600

22. 53227

23. 65953

24. 84537

25. 30098

26. 65650

27. 49692

28. 48581

29. 89688

30. 23331

31. 86759

32. 10100

33. 23230

34. 24139

35. 16463

36. 2020

37. 82719

38. 77467

39. 39895

40. 45652

41. 30805

42. 38279

43. 28482

44. 82113

45. 35653

46. 61610

47. 50500

48. 16867

49. 83830

50. 28785



1. 7992

2. 3552

3. 5883

4. 3441

5. 3996

6. 4662

7. 8214

8. 1776

9. 57054

10. 110667

11. 108336

12. 36408

13. 5883

14. 80697

15. 93129

16. 21978

17. 109557

18. 90132

19. 101898

20. 89022

21. 38517

22. 86247

23. 90243

24. 87024

25. 93573

26. 109002

27. 56055

28. 34521

29. 72483

30. 21423

31. 33522

32. 21756

33. 30081

34. 49062

35. 44067

36. 58719

37. 18426

38. 103896

39. 63714

40. 87468

41. 45843

42. 57831

43. 84138

44. 96126

45. 83805

46. 32523

47. 17871

48. 6105

49. 18093

50. 25086


1. 4000

2. 1875

3. 9000

4. 4125

5. 8625

6. 1625

7. 5750

8. 10125

9. 9500

10. 3000

11. 12000

12. 3125

13. 10250

14. 3500

15. 21500

16. 67000

17. 75125

18. 88375

19. 39000

20. 19125

21. 99125

22. 60000

23. 23000

24. 16875

25. 51500

26. 75250

27. 31375

28. 100500

29. 124750

30. 55750

31. 108875

32. 17375

33. 76125

34. 68875

35. 79875

36. 115625

37. 45875

38. 104625

39. 68375

40. 55125

41. 16500

42. 118750

43. 114875

44. 19875

45. 123125

46. 43125

47. 70250

48. 16250

49. 34750

50. 19500

84 Square Roots

1. 12

2. 18

3. 29

4. 21

5. 13

6. 16

7. 21

8. 10

9. 2

10. 16

11. 24

12. 12

13. 22

14. 3

15. 28

16. 24

17. 23

18. 15

19. 41

20. 17

21. 12

22. 9

23. 24

24. 27

25. 18

26. 17

27. 14

28. 8

29. 10

30. 10

31. 22

32. 8

33. 8

34. 14

35. 12

36. 2

37. 22

38. 9

39. 18

40. 8

41. 50

42. 30

43. 3

44. 17

45. 25

46. 20

47. 10

48. 9

49. 5

50. 13


85 Cube Roots

1. 6

2. 3

3. 10

4. 8

5. 8

6. 12

7. 15

8. 5

9. 10

10. 12

11. 8

12. 14

13. 8

14. 3

15. 12

16. 6

17. 14

18. 9

19. 6

20. 8

21. 6

22. 10

23. 9

24. 3

25. 1

26. 8

27. 12

28. 5

29. 15

30. 9

31. 4

32. 3

33. 6

34. 4

35. 6

36. 12

37. 11

38. 8

39. 10

40. 2

41. 6

42. 1

43. 12

44. 6

45. 2

46. 5

47. 1

48. 9

49. 15

50. 6

86 Percent Problems

1. 20

2. 1119

;100

93. 18

4. 8313

;250

3

5. 8889

;800

96. 70

7. 4449

;400

98.

8712

;175

2;87.5

9. 75

10. 7137

;5007

11. 10

12. 54

13. 3313

;1003

14. 80

15. 10

16. 5717

;4007

17. 56

18. 1212

;252

;12.5

19. 90

20. 50

21. 3712

;752

;37.5

22. 24

23. 35

24. 25

25. 5559

;5009

26. 60

27. 5

28. 10

29. 2229

;2009

30. 3313

;1003

31. 90

32. 4

33. 80

34. 1212

;252

;12.5

35. 9

36. 8313

;2503

37. 75

38. 75

39. 21

40. 8557

;6007

41. 20

42. 50

43. 1212

;252

;12.5

44. 8889

;8009

45. 2

46. 30

47. 70

48. 30

49. 6623

;2003

50. 8313

;2503

87 Interest and Taxes

1. 375.00

2. 1800.00

3. 240.00

4. 240.00

5. 52.50

6. 132.00

7. 60.00

8. 45.00

9. 180.00

10. 330.00

11. 157.50

12. 432.00

13. 127.50

14. 360.00

15. 891.00

16. 100.00

17. 320.00

18. 5.60

19. 5.75

20. 1.70

21. .40

22. 3.50

23. 7.35

24. 2.90

25. 2.40

26. 4.60

27. 1.90

28. 4.75

29. 2.85

30. 8.00

31. 7.50

32. 2.80

33. .60

34. 2.55


88 Distributive Property

1. 7360

2. 8010

3. 2950

4. 880

5. 6640

6. 4620

7. 9400

8. 8100

9. 4140

10. 2700

11. 3900

12. 5700

13. 6790

14. 2340

15. 2400

16. 2680

17. 4560

18. 4140

19. 6400

20. 1150

21. 4980

22. 1470

23. 5300

24. 5280

25. 2040

26. 2340

27. 2070

28. 2350

29. 1540

30. 5300

31. 7600

32. 3040

33. 5360

34. 3640

35. 2130

36. 7020

37. 3220

38. 2520

39. 2940

40. 1160

41. 2000

42. 1320

43. 1290

44. 4000

45. 8730

46. 2250

47. 2580

48. 3880

49. 4500

50. 4800

89 Polygons

1. 9

2. 4

3. 4

4. 4

5. 4

6. 7

7. 5

8. 3

9. 8

10. 7

11. 9

12. 7

13. 10

14. 8

15. 4

16. 4

17. 9

18. 4

19. 3

20. 4

90 Perimeter of Regular Polygons

1. 65

2. 140

3. 42

4. 128

5. 45

6. 20

7. 150

8. 126

9. 110

10. 70

11. 63

12. 55

13. 21

14. 18

15.65

; 115

; 1.2

16. 9

17. 52

18. 32

91 Interior and Exterior Angles

1. 360

2. 360

3. 360

4. 900

5. 360

6. 360

7. 360

8. 60

9. 60

10. 360

11. 180

12. 120

13. 45

14. 360

15. 360

16. 900

17. 360

18. 120

92 Angles of a Triangle

1. 70

2. 10

3. 12

4. 14

5. 108

6. 37

7. 22

8. 15

9. 37

10. 131

11. 18

12. 15

13. 126

14. 70

15. 11

16. 102

17. 101

18. 15

19. 37

20. 23


93 Angles of a Right Triangle

1. 54

2. 89

3. 57

4. 13

5. 16

6. 76

7. 2

8. 35

9. 0

10. 43

11. 10

12. 23

94 Area of a Right Triangle

1. 15

2. 56

3. 2412

;492

;24.5

4. 3812

;772

;38.5

5. 6

6. 30

7. 78

8. 77

9. 30

10. 42

11. 20

12. 30

13. 1612

;332

;16.5

14. 12

15. 63

16. 54

17. 9

18. 72

19. 28

20. 1712

;352

;17.5

95 Pythagorean Theorem

1. 36

2. 50

3. 360

4. 90

5. 40

6. 360

7. 41

8. 18

9. 12

10. 180

11. 84

12. 30

13. 24

14. 12

15. 180

16. 30

17. 12

18. 360

19. 40

20. 13

21. 30

22. 40

23. 24

24. 60

25. 4

26. 120

27. 17

28. 120

29. 12

30. 24

96 Squares (polygon)

1. 28

2. 32

3. 44

4. 76

5. 20

6. 4

7. 14

8. 6

9. 7

10. 52

11. 22

12. 16

13. 225

14. 10

15. 60

16. 144

97 Rectangles

1. 3

2. 24

3. 42

4. 52

5. 200

6. 9

7. 54

8. 28

9. 33

10. 13

11. 5

12. 15

13. 2

14. 19

15. 1

16. 18


98 Trapezoids

1. 8

2. 18

3.126

12

;2532

;126.5

4. 12

5. 36

6. 55

7.93

12

;1872

;93.5

8. 95

9. 70

10. 9

11. 15

12. 2

13.94

12

;1892

;94.5

14. 12

15. 32

16.121

12

;2432

;121.5

99 Rhombuses

1. 10

2. 144

3. 36

4. 56

5. 17

6. 60

7. 8

8. 10

9. 18

10. 16

11. 30

12. 45

13. 18

14. 15

15. 15

16. 4212

;852

;42.5

100 Parallelograms

1. 20

2. 110

3. 5

4. 4

5. 16

6. 48

7. 216

8. 70

9. 19

10. 108

11. 18

12. 80

13. 10

14. 135

15. 12

16. 300

101 Circles

1. 24

2. 4

3. 24

4. 28

5. 4

6. 20

7. 121

8. 14

9. 4

10. 196

11. 14

12. 24

13. 25

14. 12

15. 196

16. 169

102 Cubes

1. 8

2. 3

3. 12

4. 726

5. 7

6. 1

7. 726

8. 384

9. 10

10. 384

11. 7

12. 6

13. 12

14. 10

15. 216

16. 6

103 Rectangular Prisms

1. 64

2. 8

3. 4

4. 10

5. 5

6. 10

7. 5

8. 45

9. 78

10. 45

11. 178

12. 240

13. 344

14. 7

15. 12

16. 208


104 Cylinders

1. 60

2. 9

3. 3

4. 648

5. 10

6. 4

7. 324

8. 5

9. 256

10. 7

11. 4

12. 7

13. 6

14. 100

15. 10

16. 64

105 Cones

1. 9

2. 5

3. 30

4. 1023

;323

5. 27

6. 8

7. 9

8. 5

9. 6

10. 10

11. 4

12. 3

13. 1

14. 4

15. 6

106 Spheres

1. 144

2. 36

3. 36

4. 36

5. 144

6. 1023

;323

7. 10

8. 256

9. 324

10. 113

;43

11. 144

12. 64

13. 8513

;2563

14. 7

15. 4

16. 36

107 Multiplication Redistribution

1. 759

2. 420

3. 450

4. 840

5. 1200

6. 1410

7. 4224

8. 4081

9. 5005

10. 1410

11. 1440

12. 7392

13. 270

14. 990

15. 1166

16. 2112

108 Factorials

1. 24

2. 6

3. 40320

4. 6

5. 8

6. 12

7. 20

8. 2

9. 120

10. 96

11. 72

12. 2

13. .2

14. 6

15. 3024

16. 40320

109 Higher Powers

1. 1024

2. 256

3. 625

4. 256

5. 512

6. 32

7. 27

8. 625

9. 64

10. 128

11. 256

12. 27

13. 16

14. 32

15. 64

16. 64


110 Exponents and Operations

1. 6561

2.19

3. 3

4. 625

5. 2

6. 36

7.15

;.2

8.164

9. 625

10. 9

11.1

6561

12. 3

13. 78125

14. 225

15. 64

16. 1

111 Order of Operations with Negatives

1. 7

2. 32

3. 13

4. 0

5. −10

6. 8

7. 33

8. −65

9. 19

10. −25

11. 2

12. 72

13. −14

14. −31

15. −8

16. 22

112 a2 + (3a)2

1. 810

2. 1210

3. 640

4. 1690

5. 3240

6. 21160

7. 2560

8. 11560

9. 16000

10. 1440

11. 23040

12. 12960

13. 16810

14. 12960

15. 5290

16. 24010

113 a2 + (2a)2

1. 320

2. 720

3. 980

4. 4500

5. 405

6. 5780

7. 1805

8. 14045

9. 2880

10. 5780

11. 1280

12. 3645

13. 2420

14. 11520

15. 6125

16. 6845

114 Special Subtraction Problem

1. 396

2. −594

3. −198

4. 198

5. 297

6. 297

7. −396

8. −297

9. 297

10. 297

11. −198

12. 198

13. 396

14. −99

15. −297

16. 99

115 Probability with sets

1.439

2.13

3.310

;.3

4.211

5.217

6.427

7.415

8.310

;.3

9.231

10.12

;.5

11.322

12.439

13.433

14.14

;.25

15.27

16.325

;.12


116 Probability with dice

1.112

2.136

3.136

4.536

5.19

6.118

7.118

8.19

9.19

10.112

11.136

12.1136

13.3536

14.89

15.56

16.3536

117 Probability with coins

1.1

256

2.1

128

3.14

;.25

4.14

;.25

5.164

6.116

;.0625

7.132

8.1

128

9.14

;.25

10.1

1024

11.164

12.14

;.25

13.1

128

14.132

15.116

;.0625

16.1

1024

118 Probability with cards

1.12

;.5

2.126

3.113

4.152

5.126

6.14

;.25

7.126

8.113

9.126

10.113

11.113

12.14

;.25

119 Odds

1.37

2.513

3. 127

;97

4. 125

;75

;1.4

5.1317

6.712

7.45

;.8

8.34

;.75

9. 235

;135

;2.6

10. 138

;118

;1.375

11.613

12.29

13.117

14.34

;.75

120 Remainders with Operations

1. 1

2. 0

3. 0

4. 1

5. 3

6. 4

7. 4

8. 4

9. 5

10. 1

11. 8

12. 0

13. 1

14. 1

15. 2

16. 2

17. 2

18. 0

19. 2

20. 2

21. 2

22. 1

23. 0

24. 5

25. 1

26. 2

27. 4

28. 1

29. 7

30. 2

31. 5

32. 1

33. 3

34. 2

35. 6

36. 6

37. 6

38. 3

39. 3

40. 2

41. 5

42. 2

43. 0

44. 7

45. 0

46. 3

47. 2

48. 2

49. 1

50. 2


121 Base Conversions

1. 103

2. 23

3. 31

4. 122

5. 10101

6. 12

7. 20

8. 10111

9. 33

10. 142

11. 301

12. 13

13. 23

14. 15

15. 32

16. 10

17. 34

18. 13

19. 30

20. 31

21. 41

22. 220

23. 33

24. 3

25. 110

26. 100

27. 120

28. 10101

29. 1110

30. 212

31. 30

32. 311

33. 221

34. 115

35. 38

36. 34

37. 70

38. 17

39. 32

40. 106

41. 105

42. 23

43. 21

44. 6

45. 23

46. 202

47. 115

48. 16

49. 25

50. 41

122 Base 2

1. 100101

2. 11100

3. 10100

4. 101100

5. 64

6. 111111

7. 11111

8. 113

9. 221

10. 111100

11. 10100

12. 110011

13. 100101

14. 101100

15. 76

16. 101011

17. 100000

18. 101110

19. 10001

20. 63

21. 230

22. 111001

23. 65

24. 101101

25. 56

26. 110100

27. 25

28. 70

29. 34

30. 312

123 Base 3

1. 1110

2. 33

3. 120

4. 120

5. 71

6. 27

7. 1221

8. 1111

9. 31

10. 2000

11. 1201

12. 1222

13. 70

14. 2122

15. 53

16. 65

124 Adding and Subtracting Bases

1. 13

2. 21

3. 110

4. 135

5. 45

6. 36

7. 0

8. 3

9. 13

10. 3

11. 104

12. 33

13. 1

14. 0

15. 4

16. 121

17. 46

18. 112

19. 42

20. 112

125 Multiplying Bases

1. 52

2. 431

3. 123

4. 160

5. 343

6. 260

7. 223

8. 185

9. 545

10. 207

11. 483

12. 314

13. 215

14. 312

15. 83

16. 246

17. 142

18. 102

19. 120

20. 132


126 Additive Inverses

1. −387

2. 49

3. −87.6

4. −12

;−0.5

5. 33.8

6. 614

;254

;6.25

7. −1.6

8. 316

;196

9. −50.3

10. −36

11. 41

12. 51

13. −207

14. −1

15. −192

;−9.5

16. 24

17. −54.6

18. −11

19. 16

20. 31.9

127 Multiplicative Inverses

1.34

;.75

2.18

;.125

3. 137

;107

4.23

5.

6.15

;.2

7. .25

8.15

;.2

9.59

10. 313

11. 313

12. 9

13. 134

;74

;1.75

14. 135

;85

;1.6

15. 214

;94

;2.25

16. 135

;85

;1.6

17.

18.13

19. 113

20.

128 Sets

1. 3

2. 7

3. 2

4. 3

5. 5

6. 8

7. 2

8. 1

9. 4

10. 7

11. 2

12. 8

13. 2

14. 5

15. 1

16. 7

129 Average

1. 92

2. 44

3. 69

4. 42

5. 68

6. 14

7. 31

8. 41

9. 18

10. 35

11. 38

12. 64

13. 45

14. 59

15. 13

16. 12

130 Median

1. 37

2. 37.5

3. 75

4. 87

5. 35

6. 51

7. 71

8. 56.5

9. 16

10. 9

11. 31

12. 77

13. 61

14. 19

15. 42

16. 66

131 Mode

1. 1

2. 2

3. 8

4. 1

5. 2

6. 6

7. 3

8. 8

9. 4

10. 3

11. 3

12. 6

13. 6

14. 3

15. 7

16. 4


132 Range

1. 28

2. 6

3. 23

4. 21

5. 24

6. 6

7. 18

8. 21

9. 29

10. 23

11. 21

12. 21

13. 23

14. 10

15. 28

16. 17

133 Relatively Prime

1. 6

2. 30

3. 24

4. 36

5. 16

6. 44

7. 24

8. 48

9. 24

10. 28

11. 12

12. 6

13. 20

14. 16

15. 16

16. 24

134 Triangular Numbers

1. 28

2. 45

3. 6

4. 66

5. 15

6. 10

7. 78

8. 6

9. 78

10. 21

11. 15

12. 55

13. 45

14. 6

15. 10

16. 15

135 Other Figurate Numbers

1. 65

2. 189

3. 28

4. 6

5. 96

6. 12

7. 70

8. 51

9. 34

10. 55

11. 190

12. 145

13. 7

14. 176

15. 153

16. 133

136 Greatest Integer / Least Integer

1. 24

2. 7

3. 32

4. 37

5. 14

6. 8

7. 11

8. 40

9. 24

10. 27

11. 16

12. 32

13. 6

14. 27

15. 31

16. 6


137 Repeating Decimals

1.49

2.29

3.4799

4.445

5.13

6.833

7.19

8.188999

9.3145

10.23

11.1345

12.1130

13.632999

14.16

15.145

16.2737

17.49

18.133

19.4145

20.23

21.13

22.59

23.9199

24.1033

25.13

26.5999

27.2245

28.6790

29.611

30.29

31.2533

32.2930

33.19

34.711

35.1011

36.79

37.19

38.89

39.49

40.215

41.13

42.7399

43.6790

44.23

45.1790

46.49

47.940999

48.79

49.790

50.379999

138 Solving for x

1. 1

2. −5

3. 7

4. 11

5. 6

6. −6

7. −6

8. 1

9. 12

10. −6

11. 10

12. −1

13. −2

14. 6

15. 11

16. 12

17. 8

18. 1

19. 1

20. 4

21. −8

22. 10

23. −11

24. 2

25. −11

26. 10

27. 0

28. −6

29. 6

30. 0

31. −8

32. 11

33. −10

34. −12

35. −12

36. −5

37. −2

38. −6

39. −7

40. 0

41. −10

42. −4

43. −5

44. −5

45. 7

46. −8

47. −11

48. −3

49. −1

50. −8


139 Solving Inequalities

1. 11

2. −3

3. −5

4. −6

5. 12

6. −8

7. 8

8. 3

9. 11

10. 10

11. 10

12. −5

13. 2

14. −7

15. 4

16. −6

17. −11

18. −1

19. −6

20. −4

21. 3

22. −3

23. 4

24. 0

25. 8

26. 12

27. 12

28. 1

29. 11

30. 6

31. −1

32. −3

33. 2

34. −6

35. 3

36. 11

37. −8

38. 11

39. 3

40. −1

41. 1

42. 5

43. 6

44. 1

45. 5

46. 0

47. −5

48. −9

49. 2

50. −1

140 Slope and Intercepts

1. − 711

2. −4

3. 214

;94

;2.25

4. −95

;−1.8

5. − 512

6.25

;.4

7. −18

8. −7

9. 312

;72

;3.5

10. −6

11. 1112

;1312

12. −45

;−0.8

13. −12

14. −1211

15. −9

16. 313

;103

17. 3

18. −3

19. 3

20. 245

;145

;2.8

21. −32

;−1.5

22. −32

;−1.5

23. − 411

24. −329

25. −85

;−1.6

26. −10

27. 138

;118

;1.375

28. −109

29. 2

30. −65

;−1.2

141 Working with f(x)

1. 256

2. 121

3. −54

4. 0

5. 9

6. 12

7. 8

8. 53

9. 169

10. 2

11. 225

12. 400

13. 39

14. 80

15. 6

16. 64

17. 25

18. 155

19. 9

20. −9

21. 100

22. 196

23. 1

24. 30

25. 122

26. 256

27. −13

28. 121

29. 0

30. 289


For estimation problems, the exact answer is given in square brackets.

142 Estimations: Addition and Subtraction

1. 1520 - 1678 [1599]

2. 946 - 1044 [995]

3. 2045 - 2259 [2152]

4. 1823 - 2013 [1918]

5. 3519 - 3889 [3704]

6. 922 - 1018 [970]

7. 3100 - 3426 [3263]

8. 3334 - 3684 [3509]

9. 2991 - 3305 [3148]

10. −24 - −20 [-22]

11. 3705 - 4095 [3900]

12. 1399 - 1545 [1472]

13. 2366 - 2614 [2490]

14. 60 - 66 [63]

15. 1233 - 1361 [1297]

16. 2079 - 2297 [2188]

17. 1833 - 2025 [1929]

18. 1900 - 2100 [2000]

19. 2729 - 3015 [2872]

20. 3700 - 4088 [3894]

143 Estimations: Multiplication

1. 285888 - 315980 [300934]

2. 49684 - 54912 [52298]

3. 59296 - 65536 [62416]

4. 285000 - 315000 [300000]

5. 492932 - 544818 [518875]

6. 244416 - 270144 [257280]

7. 3876 - 4284 [4080]

8. 34109 - 37699 [35904]

9. 82413 - 91087 [86750]

10. 40214 - 44446 [42330]

11. 287793 - 318087 [302940]

12. 61632 - 68118 [64875]

13. 715806 - 791154 [753480]

14. 293573 - 324475 [309024]

15. 60423 - 66783 [63603]

16. 260209 - 287599 [273904]

17. 450751 - 498197 [474474]

18. 147274 - 162776 [155025]

19. 65436 - 72324 [68880]

20. 56316 - 62244 [59280]

144 Estimations: 142857-type Problems

1. 100955 - 111581 [106268]

2. 16828437 - 18599851 [17714144]

3. 3080776 - 3405068 [3242922]

4. 860085 - 950619 [905352]

5. 472318 - 522034 [497176]

6. 39940 - 44144 [42042]

7. 12499 - 13813 [13156]

8. 320836 - 354608 [337722]

9. 14372095 - 15884947 [15128521]

10. 415120 - 458816 [436968]

11. 446979 - 494029 [470504]

12. 109224 - 120720 [114972]

13. 120738 - 133446 [127092]

14. 23736350 - 26234912 [24985631]

15. 34851516 - 38520096 [36685806]

16. 24062063 - 26594911 [25328487]

17. 7396370 - 8174934 [7785652]

18. 854958 - 944952 [899955]

19. 47717263 - 52740131 [50228697]

20. 317519 - 350941 [334230]


145 Estimations: Division

1. 350 - 386 [368]

2. 789 - 871 [830]

3. 841 - 929 [885]

4. 375 - 413 [394]

5. 720 - 794 [757]

6. 449 - 495 [472]

7. 885 - 977 [931]

8. 228 - 250 [239]

9. 524 - 578 [551]

10. 590 - 652 [621]

11. 856 - 946 [901]

12. 221 - 243 [232]

13. 269 - 297 [283]

14. 778 - 858 [818]

15. 386 - 426 [406]

16. 620 - 684 [652]

17. 817 - 901 [859]

18. 913 - 1009 [961]

19. 810 - 894 [852]

20. 508 - 560 [534]

146 Estimations: Exponents

1. 40732 - 45018 [42875]

2. 2088 - 2306 [2197]

3. 6114526 - 6758160 [6436343]

4. 2088 - 2306 [2197]

5. 510933 - 564715 [537824]

6. 265849 - 293833 [279841]

7. 49895782 - 55147968 [52521875]

8. 19485592 - 21536706 [20511149]

9. 1269520 - 1403152 [1336336]

10. 236391 - 261273 [248832]

11. 37339 - 41269 [39304]

12. 5476561 - 6053041 [5764801]

13. 5541 - 6123 [5832]

14. 2607 - 2881 [2744]

15. 56097 - 62001 [59049]

16. 8798 - 9724 [9261]

17. 1425594 - 1575656 [1500625]

18. 132970 - 146966 [139968]

19. 2669364 - 2950348 [2809856]

20. 118196 - 130636 [124416]

147 Estimations: Square Roots

1. 361 - 398 [379.89]

2. 907 - 1001 [954.07]

3. 898 - 991 [944.39]

4. 886 - 978 [932.28]

5. 403 - 444 [423.32]

6. 477 - 526 [501.79]

7. 1010 - 1115[1062.45]

8. 609 - 672 [640.38]

9. 447 - 492 [469.48]

10. 638 - 704 [670.78]

11. 935 - 1032 [983.65]

12. 958 - 1058 [1007.83]

13. 728 - 803 [765.35]

14. 965 - 1065 [1014.85]

15. 640 - 706 [673.15]

16. 1005 - 1110[1057.61]

17. 840 - 927 [883.36]

18. 973 - 1074 [1023.36]

19. 836 - 923 [879.82]

20. 709 - 782 [745.66]

148 Estimations: Working with pi

1. 2617 - 2891[2754.18]

2. 4071 - 4498[4284.28]

3. 2129 - 2352[2240.41]

4. 1827 - 2018[1922.78]

5. 2326 - 2570[2448.16]

6. 1454 - 1606[1530.10]

7. 20085 - 22199[21142.05]

8. 177 - 195 [186.04]

9. 926 - 1022 [974.09]

10. 104 - 113 [108.57]

11. 66 - 72 [69.09]

12. 126198 - 139481[132839.43]

13. 89 - 97 [93.02]

14. 2908 - 3213[3060.20]

15. 383 - 423 [403.08]

16. 108170 - 119555[113862.37]

17. 371 - 409 [389.64]

18. 45071 - 49814[47442.66]

19. 556 - 613 [584.45]

20. 8220 - 9085[8652.50]

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