Free Printable 6th Math Benchmark Review

1.

Evaluate the following expression
I -3 I

a)

0

b)

3

c)

-3

d)

.3

2.

What is the opposite of -36

a)

36

b)

-36

c)

3.6

d)

-3.6

3.

Evaluate the expression
I 10 I

a)

-10

b)

10

c)

1

d)

0

4.

Put the following in order LEAST to GREATEST:
54%, 2/5, .45

a)

2/5, .45, 54%

b)

54%, 2/5, .45

c)

54%, .45, 2/5

d)

.45, 2/5, 54%

5.

a)

A

b)

B

c)

C

d)

D

6.

Change this mixed number into an improper fraction.

Cambia este número mixto en una fracción impropia

2\ \frac{1}{3}

a)

$\frac{1}{6}$

b)

$\frac{7}{3}$

c)

$\frac{6}{3}$

7.

Which expression is represented on the number line?

a)

A. 0-(-8)

b)

-2 $\times$ 4

c)

-2 + (-8)

d)

-2 $\div$ 4

8.

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.

• First card: -12

• Second card: 3

• Third card: -5

What is the sum of the values of LuAnn’s three cards?

9.

a)

(- 3) + 5 = −2

b)

( -3) + 5 = 2

c)

−3 + (−5) = −2

d)

3 + (−5) = 2

10.

Which statement about 3 multiplied by $\frac{2}{3}$ must be true?

a)

The product is between 3 and 4

b)

The product is less than $\frac{2}{3}$

c)

The product is between $\frac{2}{3}$ and 3

d)

The product is greater than 4

11.

The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix?

a)

11.5

b)

25

c)

56.25

d)

9.0

12.

George wrote an integer. The opposite of George’s integer is -53. Which of these statements about George’s integer must be true?

I. The integer is 53.

II. The integer has an absolute value of -53.

III. The integer is -53.

IV. The integer has an absolute value of 53

a)

I and II

b)

II and IV

c)

II and III

d)

I and IV

13.

Which list of rational numbers is in order greatest to least?

a)

$8.2,\ 8\frac{1}{2},\ 8.75,\ 8\frac{2}{3}$

b)

$8\frac{1}{2},\ 8.2,\ 8\frac{2}{3},\ 8.75$

c)

$8.75,\ 8\frac{2}{3},\ 8\frac{1}{2},\ 8.2$

d)

$8.2,\ 8\frac{1}{2},\ 8\frac{2}{3},\ 8.75$

14.

-15 + (-13) =

a)

28

b)

2

c)

-28

d)

-2

15.

Evaluate: (7)(-7)

a)

14

b)

0

c)

49

d)

-49

16.

-6 - (-8)

a)

-2

b)

2

c)

-14

d)

14

17.

-72/9

a)

-9

b)

8

c)

-8

d)

-9

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

240

b)

80

c)

60

d)

180

21.

As part of a survey, 300 girls were asked to name their favorite sport. The results showed that 12 of the girls named bowling as their favorite sport. What percentage of the girls in the survey named bowling as their favorite sport?

a)

4%

b)

12%

c)

25%

d)

0.04%

22.

a)

3

b)

5.3

c)

1.08

d)

27

23.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

24.

The car travels 440 miles in 8 hours. What is the unit rate?

a)

12 miles in 1 hour

b)

55 miles in 1 hour

c)

110 miles in 1 hour

d)

44 miles in 1 hour

25.

During a 60 minute lecture, the professor was talking 70% of the time. What amount of time was the professor talking?

a)

18 minutes

b)

42 minutes

c)

30 minutes

d)

20 minutes

26.

a)

A

b)

B

c)

C

d)

D

27.

Which pair of numbers are equivalent?

a)

$\frac{1}{2}$ and 0.5

b)

50% and $\frac{1}{20}$

c)

0.25 and $\frac{1}{8}$

d)

$\frac{1}{3}$ and 25%

28.

Change this decimal to a percent.
0.528

a)

528%

b)

52.8%

c)

5.28%

d)

52%

29.

(a)

30.

a)

A

b)

B

c)

C

d)

D

31.

Solve the proportion below

a)

21

b)

7

c)

8

d)

24

32.

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 Weeks

b)

24-ounce bottle

c)

10.6 Weeks

d)

10.6-ounce bottle

33.

Which relationship correctly shows the relationship between the number of girls and the number of boys in each of Ms. Smith's classes?

a)

b = g + 5

b)

b = g - 5

c)

b = g + 2

d)

b = g - 2

34.

Which equation correctly shows the relationship between the number of adult chaperones and the number of children on the field trip?

a)

c = 2a

b)

c = 3a

c)

c = 6a

d)

c = 8a

35.

What variable represents the independent variable?

a)

p

b)

d

36.

What kind of relationship is this?

a)

Additive

b)

Multiplicative

37.

a)

A

b)

B

c)

C

d)

D

38.

Which two expressions are equivalent?

a)

4 + (3 ⋅ y) and (4 + 3) ⋅ y

b)

(18 ÷ y) + 10 and 10 + (y ÷ 18)

c)

12 - (y ⋅ 2) and 12 - (2 ⋅ y)

d)

(10 - 6) ÷ y and 10 - (6 ÷ y)

39.

What is the prime factorization of 110?

a)

5² ⋅ 11

b)

2⁵ ⋅ 11

c)

5 ⋅ 22

d)

2⋅ 5 ⋅ 11

40.

Find the prime factorization of 18

a)

2 • 9

b)

2² • 3

c)

2 • 3²

d)

3 • 6

41.

Which expression is equivalent to

3 (x + 6)?

a)

3 + 3 + x + 6

b)

3x + 6

c)

3x + 18

d)

3 + x + 6

42.

How would you write the prime factorization of 24?

a)

2³ x 3

b)

2² x 4

c)

2 x 2 x 3

d)

none of the above

43.

a)

A

b)

B

c)

C

d)

D

44.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

45.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

46.

Pick 2 ANSWERS!

Equivalent expression or not?

What property?

a)

Equivalent

b)

Not Equivalent

c)

Associative

d)

Commutative

e)

Distributive

47.

What is the measurement of the missing angle?

4 lines

48.

a)

A

b)

B

c)

C

d)

D

49.

Which side of the triangle should be the longest?

a)

A

b)

B

c)

C

50.

Which set of lengths are the lengths of a triangle?

a)

3 cm, 6 cm, 9 cm

b)

16 in, 12 in, 3 in

c)

10 ft, 10 ft, 18 ft

d)

17 m, 22 m, 29 m

51.

Which side of the triangle should be the longest?

a)

A

b)

B

c)

C

52.

Find the area of the parallelogram.

a)

42

b)

21

c)

84

d)

Impossible to determine with the information given.

53.

What is the area of the rectangle shown?

a)

84 square feet

b)

19 square feet

c)

5 square feet

54.

What is the volume of the rectangular prism shown?

a)

13 cubic inches

b)

27 cubic inches

c)

72 cubic inches

d)

94 cubic inches

55.

What is the area of the triangle?

a)

4,800 in

b)

160 in

c)

240 in

d)

2,400 in

56.

a)

350 cm

b)

7.5 cm

c)

15 cm

d)

162.5 cm

57.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

58.

y - 14 = 66

a)

80

b)

52

c)

79

d)

Answer Not Given

59.

8 - (-3)

a)

-11

b)

5

c)

-5

d)

11

60.

-9 + (-5)

a)

-14

b)

14

c)

-4

61.

-8 + 20

a)

-28

b)

28

c)

14

d)

12

62.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

63.

Solve for the variable. 3x=-27

a)

x=9

b)

x=-30

c)

x=-9

d)

x=-24

64.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

65.

Mr. Simon has a maximum of $75 to spend at a museum. A ticket to the museum costs $15. He can spend d dollars to buy other things at the museum. Which inequality can be used to find the possible values for d?

a)

b)

c)

d)

66.

Which set of numbers can make the inequality below true?

26 > n + 15

a)

13, 20, 28

b)

9, 11, 15

c)

2, 8, 10

d)

3, 9, 11

67.

Which equation is true when x = 4

a)

5 + x = 12

b)

4 - x = 8

c)

2x = 8

d)

10 + 2 = x

68.

Solve:

a)

-12

b)

-8

c)

12

d)

8

69.

Solve:

a)

96

b)

-96

c)

4

d)

-4

70.

Write the expression.
Twelve fewer questions than were on the first test.

a)

12 + q

b)

q - 12

c)

q x 12

d)

q ÷ 12

71.

Write the expression.
Twelve times the number of feet.

a)

f + 12

b)

f - 12

c)

12f

d)

12 ÷ f

72.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

73.

Ordered pair (-4, -4) would lead you to which plot point?

a)

H

b)

L

c)

I

d)

K

74.

What is the ordered pair for point T?

a)

(3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(- 3, 3)

75.

What is the ordered pair of point E?

a)

(2,5)

b)

(5,2)

c)

(-5,2)

d)

(5,-2)

76.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

77.

Which coordinates represent the location of a point inside the shaded section?

a)

(-2.5, 4.5)

b)

(-4.5, 2.5)

c)

(2.5, -4.5)

d)

(4.5, -2.5)

78.

Point D is located on the coordinate grid at (8.32, 6.81). What quadrant is Point D located in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

79.

Point A is located on the coordinate grid at (8.32, -6.81). What quadrant is Point A located in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

80.

Which value represents the median?

a)

4

b)

5

c)

6

d)

3

81.

What is the range in heights represented in this dot plot?

a)

12

b)

66

c)

65

d)

66

82.

What is the mean of these numbers?
4,5,5,2,3,3,2,8

a)

40

b)

24

c)

4

d)

256

83.

(a)

84.

Select ALL that model the same proportional relationship as the graph.

a)

I rode my bike for one mile in 60 hours

b)

He drove 180 miles in 3 hours.

c)

d)

85.

What day sold the most cars?

a)

Friday

b)

Saturday

c)

Sunday

d)

Monday

6th Math Benchmark Review

Total questions: 85

Worksheet time: 4hrs 15mins

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