Completing the Whole - Mathmaverickmathmaverick.com/Members/VedicWorkSheets.pdfVedic Worksheet –...

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Completing the Whole There are eight unique groups of three numbers that sum to 10 1 + 2 + 7 = 10 is an example (N.B. 1+2+7 is the same as 2+1+7) + + = + + = + + = + + = 1 2 7 10 10 10 10 Vedic Worksheet – Completing the Whole - 1 + + = + + = + + = + + = 10 10 10 10 10 10

Transcript of Completing the Whole - Mathmaverickmathmaverick.com/Members/VedicWorkSheets.pdfVedic Worksheet –...

Page 1: Completing the Whole - Mathmaverickmathmaverick.com/Members/VedicWorkSheets.pdfVedic Worksheet – Completing the Whole - 1 + + = + + = + + = + + = 10 10 10 10. Completing the Whole

Completing the Whole

There are eight unique groups of three numbers that sum to 101 + 2 + 7 = 10 is an example (N.B. 1+2+7 is the same as 2+1+7)

+ + =

+ + =

+ + =

+ + =

1 2 7 10

10

10

10

Vedic Worksheet – Completing the Whole - 1

+ + =

+ + =

+ + =

+ + =

+ + =

+ + =

10

10

10

10

10

10

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Completing the Whole

In the following list of numbers, how many groups of 10 can you make?What is the sum of each list?

68

+ 4

3822

+ 7

23546

38221

24565+ 7 6

+ 917

+ 9

51879

+ 3

Vedic Worksheet – Completing the Whole - 2

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Completing the Whole

Perform the following additions and subtractions mentallyUsing the fact that some of the numbers are just over or under a multiple of 10

23+ 28

42+ 39

51+ 68

58+ 29

68+ 58

53- 28

72- 39

106- 68

55- 29

67- 38

2339

+ 28

4221

+ 39

5128

+ 68

5818

+ 29

6848

+ 58

Vedic Worksheet – Completing the Whole - 3

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Doubling and Halving

Double the following values mentally

3 7 5 8 9

20 43 32 41 23

25 48 37 46 29

Vedic Worksheet – Doubling and Halving - 1

25 48 37 46 29

362 425 373 426 527

Group each of the following and then Double the values mentally

453 623 344 647 727

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Doubling and Halving

Halve the following values mentally

42 28 64 80 48

30 52 74 38 92

94 46 32 54 26

Vedic Worksheet – Doubling and Halving - 2

94 46 32 54 26

362 426 352 426 524

Group each of the following and then Halve the values mentally

450 658 344 528 722

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Doubling and Halving

Multiply the following values by 4 mentally

3 7 5 8 6

20 42 31 42 23

26 15 37 46 29

Vedic Worksheet – Doubling and Halving - 3

26 15 37 46 29

4 3 8 21 42

Multiply the following values by 8 mentally

26 35 342 648 729

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Doubling and Halving

Multiply the following values by 5 mentallyBy initially multiplying by 10 and then halving the result

12 18 34 82 65

83 46 39 45 27

Multiply the following values by 50 mentally

Vedic Worksheet – Doubling and Halving - 4

32 46 82 21 73

48 52 26 72 17

Multiply the following values by 50 mentallyBy initially multiplying by 100 and then halving the result

Multiply the following values by 25 mentallyBy initially multiplying by 100 and then halving the result twice

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Doubling and Halving

Simplify the following problems proportionatelyAnd then solve each problems mentally

Example: 16 x 7 = 2(8 x 7) = 2(56) = 112

14 x 6 18 x 7 12 x 9

Vedic Worksheet – Doubling and Halving - 5

32 x 6 36 x 7 28 x 3

18 x 14 36 x 8 48 x 7

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Digit Sums

Find the Digit Sum of the following numbers mentally

14 ____ 26 ____ 43 ____

Vedic Worksheet – Digit Sums - 1

65 ____ 38 ____ 125 ____

147 ____ 562 ____ 12472 ____

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Digit SumsThere are four unique groups of two numbers (less than 9) that sum to 9

+ =

+ =

+ =

+ =

9

9

9

9

There are seven groups of three numbers (less than 9) that sum to 9 (numbers can be used more than once)

Vedic Worksheet – Digit Sums - 2

+ + =

+ + =

+ + =

+ + =

9

9

9

9

(numbers can be used more than once)

+ + =

+ + =

+ + =

9

9

9

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Digit Sums

Find the Digit Sum of the following numbers mentallyby “casting 9’s”

194 ____ 276 ____ 7439 ____

Vedic Worksheet – Digit Sums - 3

6125 ____ 1235 ____ 89125 ____

396147 ____ 5481562 ____ 193478 ____

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All from 9 and the Last from 10Perform the following subtractions mentally

Using “All from 9 and the Last from 10”

100- 28

100- 39

100- 67

100- 23

100- 7

1000- 348

1000- 579

1000- 455

1000- 232

1000- 583

Vedic Worksheet – All from 9 and the Last from 10 - 1

1000- 340

1000- 507

1000- 360

1000- 23

3000- 538

10000- 2358

10000- 579

10000- 455

10000- 232

1000- 583

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All from 9 and the Last from 10Compute the change received in the following examples

Using “All from 9 and the Last from 10”

$10.00- $3.28

$10.00- $6.37

$10.00- $9.07

$5.00- $3.24

$5.00- $2.34

Vedic Worksheet – All from 9 and the Last from 10 - 2

$20.00- $13.43

$20.00- $15.86

$20.00- $4.56

$10.00- $8.37

$20.00- $5.82

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Number SplittingSplit the following problems up into two more manageable parts

And then solve the problem mentally

327+ 525

372+ 435

561+ 627

452+ 357

651+ 728

Vedic Worksheet – Number Splitting - 1

2347+ 4545

5439+ 2621

3782+ 4609

7378- 4859

5828- 2688

8436÷ 4

153627÷ 3

12530÷ 5

236458- 74740

237834- 32621

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Base MultiplicationFill in each of the boxes in the following problems using

the example below as a guide

12

x 13

15 = 12+3 or 13+2think “crosswise”

6 = 2x3think “vertically”

15 6

2 12 is 2 above 10

3 13 is 3 above 10

156

Vedic Worksheet – Base Multiplication - 1

14

x 12

14

x 11

13

x 12

14

x 13

15

x 12

156 answer

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Base MultiplicationFill in each of the boxes in the following problems using

the example below as a guide

102

x 103

105 = 102+3 or 103+2think “crosswise”

6 = 2x3think “vertically”

105 6

2 102 is 2 above 100

3 103 is 3 above 100

10506

Vedic Worksheet – Base Multiplication - 2

104

x 102

107

x 103

106

x 108

111

x 103

105

x 112

10506 answer

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Base MultiplicationFill in each of the boxes in the following problems using

the example below as a guide

98

x 97

95 = 98-3 or 97-2think “crosswise”

6 = 2x3think “vertically”

95 6

2 98 is 2 below 100

3 97 is 3 below 100

9506

Vedic Worksheet – Base Multiplication - 3

98

x 96

97

x 93

96

x 92

98

x 88

95

x 89

9506 answer

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Base MultiplicationFill in each of the boxes in the following problems using

the example below as a guide

112

x 98

110 = 98+12 or 112-2think “crosswise”

-24 = -2x12think “vertically”

110 -24

12 112 is 12 above 100

-2 98 is 2 below 100

10976

Vedic Worksheet – Base Multiplication - 4

103

x 98

105

x 97

102

x 95

106

x 90

108

x 96

10976 answer

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Base Multiplication

Fill in each of the boxes in the following problems

12

x 15

113

x 102

105

x 95

98

x 91

92

x 96

Vedic Worksheet – Base Multiplication - 5

103

x 96

105

x 108

112

x 97

92

x 90

108

x 93

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Base Multiplication

Multiply each of the following problems Mentally!

12x 15

102x 105

112x 95

97x 104

97x 88

115x 98

105 110 96 105 115 105

Vedic Worksheet – Base Multiplication - 6

105x 90

110x 105

96x 112

105x 103

115x 94

105x 109

102x 95

93x 88

92x 93

96x 103

96x 89

103x 87

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Base MultiplicationRewrite each of the following problems “Proportionately”

and then solve mentallyusing the example

212x 104

x2

Proportionatelyrewrite problem

11024 x2

vertically/crosswise

= 22048

doubling

106x 104

mentally

Vedic Worksheet – Base Multiplication - 7

98x 210

198x 106

408x 105

115x 190

412x 48

102x 206

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Bar Numbers

Convert the following numbers to their equivalent Bar Number

29 = 48 = 507 = 308 = 646 =

57 = 582 = 399 = 1928 = 17938 =

Vedic Worksheet – Bar Numbers - 1

32 = 63 = 612 = 232 = 611 =

Convert the following Bar Numbers to their equivalent number

312 = 623 = 812 = 825 = 732 =

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Bar NumbersAdd the following numbers and Bar Numbers

21+ 32

72+ 44

63+ 37

231+ 36

342+ 431

221+ 434

732+ 544

634+ 337

213+ 426

342+ 431

Vedic Worksheet – Bar Numbers - 2

Subtract the following numbers and Bar Numbers

52- 31

74- 42

63- 33

235- 31

642- 431

854- 421

732- 541

634- 337

713- 426

742- 431

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Bar NumbersMultiply the following numbers and Bar Numbersand convert the product to the equivalent number

21x 3

72x 4

63x 3

231x 5

342x 3

221x 4

732x 4

634x 3

213x 2

342x 3

Vedic Worksheet – Bar Numbers - 3

Divide the following numbers and Bar Numbers and convert the quotient to the equivalent number

82÷ 2

84÷ 4

93÷ 3

216÷ 3

642÷ 431

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Special Multiplication

answer

Multiply each of the following numbers by 11 byfilling in each of the boxes using the examples below as a guide

sum45

4 59

495answer

sum57

5 712

627

Vedic Worksheet – Special Multiplication - 1

answer answer

answer

26

answer

53

answer

76

answer

89

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Special Multiplication

answer

Multiply each of the following numbers by 11 byfilling in each of the boxes using the examples below as a guide

sum243

2 37

2673

6

Vedic Worksheet – Special Multiplication - 2

answer

answer

345

answer

463

answer

697

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Special Multiplication

Multiply each of the following numbersRecognizing that the first digits are the same and the last digits sum to 10

12x 18

36x 34

47x 43

88x 82

71x 79

23x 27

Vedic Worksheet – Special Multiplication - 3

Multiply each of the following numbersRecognizing that the last digits are the same and the first digits sum to 10

21x 81

65x 45

74x 34

12x 92

27x 87

32x 72

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Special Multiplication

Multiply the following numbers by 99

12x 99

36x 99

47x 99

88x 99

64x 99

23x 99

Multiply the following numbers by 999

Vedic Worksheet – Special Multiplication - 4

Multiply the following numbers by 999

217x 999

654x 999

764x 999

542x 999

627x 999

932x 999

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General MultiplicationFill in each of the boxes in the following problems using

the example as a guide

52

x 648

2

4

4

3

128 = 2x4

upper half“vertical”

12 = 4x3lower half“vertical”

166

16 = 4x4 and 6 = 2x3

example24 x 43 46

x 34

answer answer

Vedic Worksheet – General Multiplication - 1

16 = 4x4 and 6 = 2x3“crosswise”

812 + 220 = 1032

answer answer

28

x 76

39

x 27

answer answer

23

x 35

17

x 38

answer answer

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General MultiplicationFill in each of the boxes in the following problems using

the example as a guide

542

x 634example617 x 893

answer

6 1 7

8 9 3

62 83 66 2148

550981Mentally, 48; 542; 5503; 55096; 550981

Vedic Worksheet – General Multiplication - 2

answerMentally, 48; 542; 5503; 55096; 550981

783

x 509

answer

287

x 193

answer

567

x 838

answer

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General Multiplication

Multiply each of the following mentally!

42

x 31

56

x 42

93

x 32

67

x 84

49

x 73

82

x 54

Vedic Worksheet – General Multiplication - 3

Multiply each of the following. Try to work each mentally!

432

x 624

681

x 534

123

x 321

178

x 293

675

x 482

987

x 678

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Squaring

Square each of the following numbers ending in 5 – Mentally!

452 252 852 952 352 1052

example

2025

Vedic Worksheet – Squaring - 1

Square each of the following numbers near 50 – Mentally!

542 522 482 452 552 562

example

2916

472

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SquaringFind the Duplex of each of the following numbers – Mentally!

example5 7 32 48 71 89

25

56 123 284 345 648 983

Vedic Worksheet – Squaring - 2

For each number, find the Duplex of the first digit, last digit and the number – Mentally!

34 52 28 78example

67

9 24 16

93 84 76 58 43

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SquaringFor each number, find the Duplex of the first digit, last digit and the number

Then combine the three numbers to determine the square – Mentally!

34example

9 24 16

1156

9, 24, 16 → 1156

52 28 73 64

63 59 37 9457

Vedic Worksheet – Squaring - 3

63 59 37 94

Find the square of each of the following number using Duplexes – Mentally!

57

52 67 53 46 26 39

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Division

Divide each of the following numbers by 9 showing the remainder – Mentally!

32 ÷ 9 = ____example

3 r5 57 ÷ 9 = ____ 87 ÷ 9 = ____ 34 ÷ 9 = ____

123 ÷ 9 = ____ 345 ÷ 9 = ____ 648 ÷ 9 = ____ 186 ÷ 9 = ____

Vedic Worksheet – Division - 1

1023 ÷ 9 = ____ 2457 ÷ 9 = ____ 2345 ÷ 9 = ____ 6527 ÷ 9 = ____

7843 ÷ 9 = ____ 6895 ÷ 9 = ____ 12874 ÷ 9 = ____ 34878 ÷ 9 = ____

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DivisionDivide the following using the a flag

and following the example

example308 ÷ 51

3 0 8

6 2

051

1. Create flag, 1, from divisor 2nd digit2. 5 goes into 30 6 times with remainder 03. 08 – 1x6 = 2

= 6 r2

452 ÷ 32 375 ÷ 43

Vedic Worksheet – Division - 2

452 ÷ 32

765 ÷ 52

457 ÷ 83

375 ÷ 43

763 ÷ 61

376 ÷ 94