Free Printable Sixth Grade Math Review

1.

Find the Greatest Common Factor (GCF) of 60 and 75

a)

1

b)

3

c)

5

d)

15

2.

Find the prime factorization of 40

a)

2 x 5 x 2

b)

2 x 20

c)

5 x 8

d)

2 x 2 x 2 x 5

3.

Prime numbers have _____ factors.

a)

no

b)

3

c)

1

d)

2

4.

3/7 + 1/4

a)

4/11

b)

19/28

c)

4/28

d)

3/11

5.

a)

13/3

b)

13/27

c)

9/39

d)

4/12

6.

a)

9/16

b)

3/80

c)

3/25

d)

9/5

7.

a)

1/8

b)

20/120

c)

1/6

d)

1/2

8.

Lori is running in a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run?

a)

262 miles

b)

2.62 miles

c)

0.262 mile

d)

0.00262 mile

9.

Is this statement true?
48.6 ÷ 10 = 0.486

a)

True

b)

False

10.

To take an Uber, Joshua must pay $2.25 per mile. He wants to go to the movies which is 8.7 miles from his house. How much will it cost Joshua to take an Uber from his house to the movie theater?

a)

$19.58

b)

$19.57

c)

$18.58

d)

$18.57

11.

It took Mr. Williams 1.6 hours to run the 13.2 miles. What was his average speed?

a)

2.85 mph

b)

8.25 mph

c)

6.25 mph

d)

8.52 mph

12.

a)

1 clap per second

b)

3 claps per second

c)

12 claps per second

d)

14 claps per second

13.

If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?

a)

10

b)

30

c)

20

d)

40

14.

What is the radius of this circle?

a)

18

b)

10

c)

9

d)

8

15.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft²

b)

68.345 ft²

c)

64.585 ft²

d)

61.345 ft²

16.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18

b)

36

c)

72

d)

40

17.

No sides are the same length

a)

Equilateral Triangle

b)

Isosceles Triangle

c)

Scalene Triangle

d)

Right Triangle

18.

Choose the Right Triangle

a)

b)

c)

d)

19.

A polygon with 6 equal sides

a)

Quadrilateral

b)

Pentagon

c)

Hexagon

d)

Octagon

20.

Parallelogram is a

a)

quadrilateral with both pairs of opposite sides parallel and equal in length

b)

polygon with 5 equal sides

c)

d)

Polygon with 6 equal sides

21.

A parallelogram with four right angles

a)

Circle

b)

Octagon

c)

Trapezoid

d)

Rectangle

22.

A Rhombus is

a)

All sides the same length. Both pairs of opposite sides parallel and equal in length

b)

A quadrilateral with only 1 pair of parallel lines

c)

d)

23.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

24.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

25.

Find the missing angle

a)

65

b)

75

c)

55

d)

50

26.

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

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

27.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

28.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

29.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

30.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

31.

What is the solution of the equation?
8 = x + 1

a)

9

b)

7

c)

6

d)

8

32.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

33.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

34.

p/14 = -19

a)

-266

b)

-5

c)

-33

d)

-1 5/14

35.

Find the area

a)

150m²

b)

120m²

c)

126m²

d)

200m²

36.

Find the area of the polygon.

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

37.

Find the total surface . ?

a)

10.30cm²

b)

130cm³

c)

144cm²

d)

130cm²

38.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

39.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

40.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

41.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

42.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

43.

What is the volume of the following triangular prism?

a)

45 cubic in

b)

36 cubic in

c)

108 cubic in

d)

54 cubic in

44.

Which figure will this net make?

a)

Rectangular Prism

b)

Triangular Prism

c)

Triangular Pyramid

d)

Cube

45.

Which figure will this net make?

a)

Cone

b)

Triangular Prism

c)

Square Pyramid

d)

Cube

46.

Which figure will this net make?

a)

Hexagonal Prism

b)

Triangular Prism

c)

Octagonal Prism

d)

Cone

47.

Which figure will this net make?

a)

Triangular Pyramid

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cube

48.

Which net will make a cube?

a)

Net A

b)

Net B

49.

Solve for x

a)

x = 19.6

b)

x = 5/98

c)

x = 101/5

50.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

51.

a)

1

b)

3

52.

a)

4

b)

12

53.

1. Mrs. Neary bought a leaf-blower that was 19% off the original price. If Mrs. Neary saved $40, what is the best estimate of the original price of the leaf-blower?

a)

$50

b)

$200

c)

$100

d)

$80

54.

3. The arena at the Berry Center holds 9,500 people. During one of the graduation ceremonies, 95% of the seats were occupied. How many people attended the ceremony?

a)

950

b)

8,550

c)

9,025

d)

9,500

55.

5. Pridgeon Stadium has a capacity of 11,000. At the time of kickoff, 60% of the stadium was full. How many fans were in the stadium?

a)

5,500

b)

6,600

c)

660

d)

1,100

56.

10b. Mr. Linh took his family out for dinner. The dinner cost $85. He always leaves a 20% tip. What is the total amount Mr. Linh spent on dinner and a tip?

a)

$95.80

b)

$105.00

c)

$17.00

d)

$102.00

57.

What is the equivalent percent to 0.46?

a)

46%

b)

4.6%

c)

0.46%

d)

460%

58.

What is the equivalent percent to 0.05?

a)

50%

b)

500%

c)

5%

d)

0.05%

59.

What is the equivalent percent to 0.08?

a)

0.08%

b)

8%

c)

80%

d)

800%

60.

What is the equivalent decimal to 14%?

a)

0.14

b)

1.4

c)

14.00

d)

0.014

61.

What is the equivalent decimal to 39%?

a)

0.039

b)

3.9

c)

0.39

d)

39.00

62.

What is the equivalent fraction to 7%?

a)

7/10

b)

7/1000

c)

7/100

d)

7/1

63.

Convert the following fraction into a decimal.
24/48

a)

24.48

b)

2.4

c)

0.5

d)

2.0

64.

Convert to a decimal
5 ⁵/₁₅

a)

0.33333...

b)

5.15

c)

5.3

d)

5.33333...

65.

Convert to a decimal
2/8

a)

.25

b)

.34

c)

.75

d)

.44...

66.

What is the fraction for the decimal 0.011

a)

11/100

b)

10/11

c)

11/1,000

d)

1/11

67.

What is the fraction for the decimal 0.6?

a)

1/6

b)

6/100

c)

3/6

d)

3/5

68.

Write .506 as a percent.

a)

5.06%

b)

506%

c)

50.6%

d)

500.6%

69.

What percent is in color?

a)

3%

b)

30%

c)

33%

d)

300%

70.

What is 20% of 75?

a)

15

b)

60

c)

6

d)

1.5

71.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

72.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

73.

6 - (-4)

a)

10

b)

2

c)

-2

d)

-10

74.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

75.

-2 + (-8)

a)

-6

b)

6

c)

-10

d)

10

76.

-9 - 5

a)

-14

b)

4

c)

-4

d)

45

77.

-3 +(- 2)

a)

-1

b)

5

c)

-5

d)

-6

78.

-4 - 2

a)

6

b)

-2

c)

-8

d)

-6

79.

8 - (-5)

a)

1

b)

-15

c)

13

d)

15

80.

-32/8

a)

-4

b)

-5

c)

4

d)

24

81.

-2 + (-5)

a)

-3

b)

3

c)

-7

d)

7

82.

Compare: -9 __ -1

a)

>

b)

<

c)

=

83.

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

a)

3, 4, -5, 8, 12, -14

b)

-14, -5, 3, 4, 8, 12

c)

12, -14, -5, 3, 4, 8

d)

-5, -14, 3, 4, 8, 12

84.

Evaluate each expression.
| 9 |

a)

0.9

b)

9

c)

-9

d)

90

85.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

86.

Which is the greatest integer?

a)

-33

b)

-31

c)

-28

d)

-17

87.

Which is the least integer?

a)

1

b)

-1

c)

-2

d)

-8

88.

Which sentence accurately represents the following ratio:

a)

The ratio of moons to suns is 4 to 8

b)

There are 4 moons for every 8 suns

c)

There are 4 moons for every 2 suns

d)

The ratio of suns to moons is 2:1

89.

Select ALL the ratios that are equivalent to 16 : 6

a)

3 to 8

b)

32 : 12

c)

4 to 2

d)

8 to 3

90.

A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?

a)

3 : 2

b)

3 to 2

c)

6 : 4

d)

2 : 3

91.

What is an equivalent ratio to 3/4?

a)

1/4

b)

4/5

c)

12/16

d)

14/18

92.

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

a)

6 to 1

b)

1/6

c)

18/3

d)

3/18

93.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

94.

88 students for 4 classes
How many students per class?

a)

22 students per class

b)

22 classes per student

c)

25 students per class

d)

25 classes per student

95.

2 + (9²- 4)

a)

16

b)

77

c)

79

96.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

97.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

98.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

99.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

100.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

Sixth Grade Math Review

Total questions: 100

Worksheet time: 5hrs 31mins

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