6th Grade Final Exam

True or False.

1. 0.68 as a simplified fraction is 34

50.

2. The absolute value of −7

8 is

7

8.

3. The expression 7𝑥 + 3𝑦 − 1 has 2 terms: 7𝑥 and 3𝑦.

4. 8

11 written as a decimal is 0. 72̅̅̅̅ .

5. If you drive 35 miles in half an hour, your average speed is 35 miles per hour.

6. The point (0,0) on the coordinate plane is called the origin.

7. When 𝑎 = −1, the expression −(𝑎 + 3) is equal to −2.

8. 5𝑥 added to 5𝑥 is 10𝑥2.

9. The area of a square with side length 11 cm is 121 square cm.

10. If a class contains 14 boys and 10 girls, the ratio of girls to boys is 7 to 5.

11. On a number line, −3.4 is to the left of −33

4.

12. The box in a boxplot is formed by plotting the 1st quartile, median and 3rd quartile.

13. The cost to produce a jar of jelly is $45 of fixed costs and $1 per jar. This can be modeled by the

expression 𝑗 + 45, where 𝑗 is the number of jars produced.

14. 53

8> 5.3

15. 0.04 + 0.05 + 0.5 = 0.14

Multiple Choice. Circle the letter that corresponds with the correct answer.

16. Which shows 45

6 plotted on a number line?

a.

b.

c.

d.

17. Jasmine has 2 soccer balls and her brother has 6. What is the ratio of Jasmine’s soccer balls to

her brother’s?

a. 2 to 6

b. 1 to 3

c. 3 to 1

d. 6 to 2

18. 5 pounds of grapefruit cost $13. Which expression shows the cost per pound of grapefruit?

a. 13

5𝑝

b. 5

13𝑝

c. 5𝑝 + 13

d. 13 − 5𝑝

19. Which is the correct way to write 14 thousandths as a decimal?

a. 0.14

b. 0.014

c. 0.0014

d. 0.00014

20. What is the area of a right triangle with legs both measuring 8 inches?

a. 64 square inches

b. 16 square inches

c. 32 square inches

d. 128 square inches

21. Evaluate: |−2| + |5| − |−9|

a. 16

b. 12

c. −6

d. −2

22. What value of 𝑝 makes the expression 8

𝑝(𝑝 + 1) equal to 10?

a. 2

b. 3

c. 4

d. 5

23. Which boxplot represents the data set: −2, 0, 1,3,5,7,9,9,10,15 ?

a.

b.

c.

d.

24. For a school project, a group of students collected data on the price of a specific textbook at

different stores. Based on the dotplot shown, what conclusion can be made?

a. The textbook ranges in price from 45 to 50 dollars.

b. The most common price for this textbook is $50.

c. There were as many of this textbook priced at $45 as there were priced at $51.

d. The textbook was never priced above $53.

Textbook Price

25. What is the absolute value of 83?

a. 83

b. −83

c. 0 d. 8.3

26. The histogram contains data from a 2nd grade class where the teacher asked each student “How

many siblings do you have?” What conclusion can be made from this histogram?

a. The number of students who have 6 siblings is 2.

b. The number of students who have between 2 and 4 siblings is 5.

c. The number of students who have 0 siblings is 7.

d. The number of students who have 3 siblings is 5.

27. Which expression is equivalent to 3 times the sum of m and n?

a. 3𝑚𝑛

b. 3𝑚 + 𝑛

c. 3 + (𝑚 + 𝑛)

d. 3(𝑚 + 𝑛)

28. A regular nonagon (9-sided figure) has a side length of 3 feet. What is the perimeter of the

nonagon?

a. 3 feet

b. 9 feet

c. 18 feet

d. 27 feet

29. What is the value of the expression 6 + 2(1 + 32) − 1?

a. 25

b. 37

c. 79

d. 71

Number of Siblings

30. The ages of the students in the school band are 9, 11, 12, 8, 9, 10, 11, 11, 12. What is the median

of these ages?

a. 9

b. 10

c. 11

d. 11.5

31. Every month the school cafeteria orders 120 gallons of milk and 220 gallons of chocolate milk.

What is the ratio of milk to chocolate milk in simplest form?

a. 12:22

b. 120:220

c. 22:12

d. 6:11

32. There are 120 dogs at a dog show. Out of all these dogs, 15 of them are dachshunds. What

proportion of the dogs are dachshunds?

a. 1/6

b. 1/7

c. 1/8

d. 1/9

33. Find the area of the rectangle when 𝑚 = 1.

a. 4𝑚

b. 3𝑚2

c. 4

d. 3

34. What are the like terms in the expression 4𝑥 + 5𝑥2 − 4 + 8𝑦2 + 9𝑥2 − 𝑦

a. 4𝑥 and 4

b. 5𝑥2 and 9𝑥2

c. 8𝑦2 and −𝑦

d. 5𝑥2 and 8𝑦2

35. Evaluate when 𝑔 = −3: | − 𝑔 − 2|

a. 5

b. −5

c. 1

d. 3

3m

m

Show Your Work.

36. Write as an expression: 3 less than y.

37. Evaluate 35

𝑡∙ 4 when 𝑡 = 7.

38. Write an expression for the area of the figure. Simplify.

39. Write an inequality that corresponds to the number line.

40. Find the area of the right triangle shown.

41. Each school bus holds 32 students. There are 192 students that need to ride the bus. How many

buses will it take to hold all 192 students?

42. Write an expression for the area of a square with side length 𝑚.

43. Draw the polygon with vertices 𝐴(−1,4), 𝐵(0, −3), 𝐶(1,3), 𝐷(2,2) and 𝐸(3, −1) on the

coordinate plane.

5

7𝑎

5

7

44. Plot the inequality 𝑥 < −3 on the number line.

45. Divide 2

9 and round the answer to 2 decimal places.

46. Gannon and Jayden worked on a project unequally. They decided to divide their pay in a ratio of

3:4 (3 parts for Gannon, 4 parts for Jayden). The total pay was $210. Calculate how much Jayden

got.

47. The test scores on the 1st semester final for one 6th grade class were the following: 65, 72, 75,

75, 79, 81, 82, 85, 85, 86, 88, 89, 90, 93, 95, 99. Draw and label a histogram representing this

data.

48. Plot and label the numbers −3

4,

8

3 and −

9

4 on the number line.

49. Find the perimeter of the hexagon shown.

11

50. Divide 4

15 and write as a decimal to the nearest hundredth.

51. Ronnie bakes the same number of loaves of bread each day. He uses 5 cups of flour in each loaf

of bread. Write an expression to represent the number of cups of flour he uses each day making

bread, where 𝑙 is the number of loaves of bread.

52. Write the coordinates of the vertices of the pentagon shown.

53. In 1938, the United States population was about 130 million. By 1993, the US population had

climbed to about 260 million. What is the ratio of the US population from 1938 to 1993?

54. If 𝑦 = 3, what is the value of the expression 1

2(𝑦 + 5)?

55. For a project, Mr.Unker needs to cut a 6-foot board into ¾-foot pieces. How many pieces can he

get from the board?

56. Put the numbers in order from least to greatest: 9

5, 1

2

3, −

3

7, −3

2

3, 2.1, −1.4

57. What is the perimeter of a rectangle with length 1.5 inches and height 0.5 inches?

58. Combine like terms: 6𝑥 + 7𝑥2 − 8𝑥 + 2 − 𝑥 + 𝑥2.

59. What is the value of the expression 42 + (6 − 5)2 ÷ [(4 + 4) − 9]?

60. Find the area of the rectangle when 𝑢 = 3.

61. Plot the inequality 𝑦 ≤2

3 on the number line.

62. Draw a line on the coordinate plane connecting the points (−3,1) and (1

2, 2).

63. Divide and round to the nearest thousandth. 5 ÷ 12

64. Tina mowed 10 lawns and made $125. What was her average pay per lawn?

65. The ages of the 1st grade teachers in a school district are recorded below. Create a dot plot of

these ages.

22, 23, 25, 26, 27, 31, 33, 36, 39, 42, 44, 47, 47, 51, 56, 59

3𝑢 − 2

2𝑢 − 1

6th Grade Final Exam ANSWER KEY

True or False.

1. 0.68 as a simplified fraction is 34

50. TRUE

2. The absolute value of −7

8 is

7

8. TRUE

3. The expression 7𝑥 + 3𝑦 − 1 has 2 terms: 7𝑥 and 3𝑦. FALSE

4. 8

11 written as a decimal is 0. 72̅̅̅̅ . TRUE

5. If you drive 35 miles in half an hour, your average speed is 35 miles per hour. FALSE

6. The point (0,0) on the coordinate plane is called the origin. TRUE

7. When 𝑎 = −1, the expression −(𝑎 + 3) is equal to −2. TRUE

8. 5𝑥 added to 5𝑥 is 10𝑥2. FALSE

9. The area of a square with side length 11 cm is 121 square cm. TRUE

10. If a class contains 14 boys and 10 girls, the ratio of girls to boys is 7 to 5. FALSE

11. On a number line, −3.4 is to the left of −33

4. FALSE

12. The box in a boxplot is formed by plotting the 1st quartile, median and 3rd quartile. TRUE

13. The cost to produce a jar of jelly is $45 of fixed costs and $1 per jar. This can be modeled by the

expression 𝑗 + 45, where 𝑗 is the number of jars produced. TRUE

14. 53

8> 5.3 TRUE

15. 0.04 + 0.05 + 0.5 = 0.14 FALSE

Multiple Choice. Circle the letter that corresponds with the correct answer.

16. Which shows 45

6 plotted on a number line?

a.

b.

c.

d.

17. Jasmine has 2 soccer balls and her brother has 6. What is the ratio of Jasmine’s soccer balls to

her brother’s?

a. 2 to 6

b. 1 to 3

c. 3 to 1

d. 6 to 2

18. 5 pounds of grapefruit cost $13. Which expression shows the cost per pound of grapefruit?

a. 13

5𝑝

b. 5

13𝑝

c. 5𝑝 + 13

d. 13 − 5𝑝

19. Which is the correct way to write 14 thousandths as a decimal?

a. 0.14

b. 0.014

c. 0.0014

d. 0.00014

20. What is the area of a right triangle with legs both measuring 8 inches?

a. 64 square inches

b. 16 square inches

c. 32 square inches

d. 128 square inches

21. Evaluate: |−2| + |5| − |−9|

a. 16

b. 12

c. −6

d. −2

22. What value of 𝑝 makes the expression 8

𝑝(𝑝 + 1) equal to 10?

a. 2

b. 3

c. 4

d. 5

23. Which boxplot represents the data set: −2, 0, 1,3,5,7,9,9,10,15 ?

a.

b.

c.

d.

24. For a school project, a group of students collected data on the price of a specific textbook at

different stores. Based on the dotplot shown, what conclusion can be made?

a. The textbook ranges in price from 45 to 50 dollars.

b. The most common price for this textbook is $50.

c. There were as many of this textbook priced at $45 as there were priced at $51.

d. The textbook was never priced above $53.

Textbook Price

25. What is the absolute value of 83?

a. 83

b. −83

c. 0 d. 8.3

26. The histogram contains data from a 2nd grade class where the teacher asked each student “How

many siblings do you have?” What conclusion can be made from this histogram?

a. The number of students who have 6 siblings is 2.

b. The number of students who have between 2 and 4 siblings is 5.

c. The number of students who have 0 siblings is 7.

d. The number of students who have 3 siblings is 5.

27. Which expression is equivalent to 3 times the sum of m and n?

a. 3𝑚𝑛

b. 3𝑚 + 𝑛

c. 3 + (𝑚 + 𝑛)

d. 3(𝑚 + 𝑛)

28. A regular nonagon (9-sided figure) has a side length of 3 feet. What is the perimeter of the

nonagon?

a. 3 feet

b. 9 feet

c. 18 feet

d. 27 feet

29. What is the value of the expression 6 + 2(1 + 32) − 1?

a. 25

b. 37

c. 79

d. 71

Number of Siblings

30. The ages of the students in the school band are 9, 11, 12, 8, 9, 10, 11, 11, 12. What is the median

of these ages?

a. 9

b. 10

c. 11

d. 11.5

31. Every month the school cafeteria orders 120 gallons of milk and 220 gallons of chocolate milk.

What is the ratio of milk to chocolate milk in simplest form?

a. 12:22

b. 120:220

c. 22:12

d. 6:11

32. There are 120 dogs at a dog show. Out of all these dogs, 15 of them are dachshunds. What

proportion of the dogs are dachshunds?

a. 1/6

b. 1/7

c. 1/8

d. 1/9

33. Find the area of the rectangle when 𝑚 = 1.

a. 4𝑚

b. 3𝑚2

c. 4

d. 3

34. What are the like terms in the expression 4𝑥 + 5𝑥2 − 4 + 8𝑦2 + 9𝑥2 − 𝑦

a. 4𝑥 and 4

b. 5𝑥2 and 9𝑥2

c. 8𝑦2 and −𝑦

d. 5𝑥2 and 8𝑦2

35. Evaluate when 𝑔 = −3: | − 𝑔 − 2|

a. 5

b. −5

c. 1

d. 3

3m

m

Show Your Work.

36. Write as an expression: 3 less than y.

𝑦 − 3

37. Evaluate 35

𝑡∙ 4 when 𝑡 = 7.

20

38. Write an expression for the area of the figure. Simplify.

35𝑎

39. Write an inequality that corresponds to the number line.

𝑥 ≥ −1

40. Find the area of the right triangle shown. 35

41. Each school bus holds 32 students. There are 192 students that need to ride the bus. How many

buses will it take to hold all 192 students?

6

42. Write an expression for the area of a square with side length 𝑚.

𝑚2

43. Draw the polygon with vertices 𝐴(−1,4), 𝐵(0, −3), 𝐶(1,3), 𝐷(2,2) and 𝐸(3, −1) on the

coordinate plane.

5

7𝑎

5

7

44. Plot the inequality 𝑥 < −3 on the number line.

45. Divide 2

9 and round the answer to 2 decimal places.

0. 2̅

46. Gannon and Jayden worked on a project unequally. They decided to divide their pay in a ratio of

3:4 (3 parts for Gannon, 4 parts for Jayden). The total pay was $210. Calculate how much Jayden

got.

$120

47. The test scores on the 1st semester final for one 6th grade class were the following: 65, 72, 75,

75, 79, 81, 82, 85, 85, 86, 88, 89, 90, 93, 95, 99. Draw and label a histogram representing this

data.

Any of these are correct:

48. Plot and label the numbers −3

4,

8

3 and −

9

4 on the number line.

49. Find the perimeter of the hexagon shown. 66

11

Test Score Test Score Test Score

−9

4 −

3

4

8

3

50. Divide 4

15 and write as a decimal to the nearest hundredth.

0.27

51. Ronnie bakes the same number of loaves of bread each day. He uses 5 cups of flour in each loaf

of bread. Write an expression to represent the number of cups of flour he uses each day making

bread, where 𝑙 is the number of loaves of bread.

5𝑙

52. Write the coordinates of the vertices of the pentagon shown. (2,4), (5,3), (5,0), (2, −1), (0,1)

53. In 1938, the United States population was about 130 million. By 1993, the US population had

climbed to about 260 million. What is the ratio of the US population from 1938 to 1993?

1 to 2 or 1:2

54. If 𝑦 = 3, what is the value of the expression 1

2(𝑦 + 5)?

4

55. For a project, Mr.Unker needs to cut a 6-foot board into ¾-foot pieces. How many pieces can he

get from the board?

8 pieces

56. Put the numbers in order from least to greatest: 9

5, 1

2

3, −

3

7, −3

2

3, 2.1, −1.4

−32

3, −1.4, −

3

7, 1

2

3,9

5, 2.1

57. What is the perimeter of a rectangle with length 1.5 inches and height 0.5 inches?

4 inches

58. Combine like terms: 6𝑥 + 7𝑥2 − 8𝑥 + 2 − 𝑥 + 𝑥2.

8𝑥2 − 3𝑥 + 2

59. What is the value of the expression 42 + (6 − 5)2 ÷ [(4 + 4) − 9]?

−17

60. Find the area of the rectangle when 𝑢 = 3. 35

61. Plot the inequality 𝑦 ≤2

3 on the number line.

62. Draw a line on the coordinate plane connecting the points (−3,1) and (1

2, 2).

63. Divide and round to the nearest thousandth. 5 ÷ 12

0.417

64. Tina mowed 10 lawns and made $125. What was her average pay per lawn?

$12.50

65. The ages of the 1st grade teachers in a school district are recorded below. Create a dot plot of

these ages.

22, 23, 25, 26, 27, 31, 33, 36, 39, 42, 44, 47, 47, 51, 56, 59

3𝑢 − 2

2𝑢 − 1