Free Printable 6th Grade Math Review

1.

solve for x
x - 8 = 30

a)

22

b)

3.75

c)

38

d)

240

2.

Convert 3/5 into a decimal

a)

0.666

b)

0.6

c)

1.667

d)

3.5

3.

solve for x.
x/3 = 81

a)

3

b)

84

c)

27

d)

243

4.

^{_{Whats the area of the triangle?}}

a)

24cm³

b)

24cm²

c)

12cm²

d)

12cm³

5.

Which problems are correct?
a. 3²= 6
b. 5³= 15
c. 8²= 64
d. 4³= 64

a)

I agree with a, c and d

b)

I agree with c and d only

c)

I disagree with all of them

d)

I agree with a, b, and c

6.

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

7.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

8.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

9.

Find the median of these numbers:
4, 2, 7, 4, 3

a)

2

b)

5

c)

7

d)

4

10.

If you start at (0,0) and you run 2 miles East and 4 miles North. What plot would you be at on a coordinate grid?

a)

(2,4)

b)

(-4,2)

c)

(4,2)

d)

(-2,4)

11.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

12.

Find the mean of these numbers:
5,11, 2,12, 4, 2

a)

4.1

b)

6

c)

4.5

d)

4

13.

George has 1/3 pan of brownies. He eats 1/4 of them. What fraction did George eat?

a)

1/7

b)

1/4

c)

1/3

d)

1/12

14.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

15.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

16.

What is the GCF of 12 and 16?

a)

4

b)

8

c)

12

d)

2

17.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

18.

Jenny has 7 apples. if she gives away 2. and then gets 5 more apples. how much apples would she have?

a)

35

b)

17

c)

10

d)

7

19.

what is the GCF of 12 & 30

a)

9

b)

12

c)

6

d)

3

20.

There are 5 boys and 15 girls in a class. what is the ratio of girls to boys?

a)

5:10

b)

1:3

c)

15:5

d)

10:20

21.

john is a teen and his 2 friends are going to the movies.it cost $10 for two adults. and it cost $6.00 for three teens. if one of john's friends is a adult, how much would it cost for all of them to go?

a)

9

b)

23

c)

12

d)

4

22.

What is A?

a)

84

b)

7

c)

28

d)

82

23.

Find the Least Common Multiple (LCM) of 12 & 18

a)

36

b)

48

c)

60

d)

72

24.

more than

a)

<

b)

>

c)

≤

d)

≥

25.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

26.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

27.

Simplify 2(2.036) - 2.268

a)

1.768

b)

1.804

c)

2.216

d)

2.232

28.

Grace has 15 3/4 cups of plant food.

She divides the plant food equally into 3 bags.

She uses all the plant food in 1 of the bags to feed her potted flowers.

She feeds each potted flower 3/4 cup of plant food.

How many potted flowers does Grace feed?

a)

4 1/2

b)

5

c)

5 1/2

d)

7

29.

Which statement about the opposite of a number is correct?

a)

The opposite of 5 is 1/5.

b)

The opposite of 0 is 0.

c)

The opposite of -5 is 0.

d)

The opposite of -5 is 1.

30.

Which number line shows a point graphed at every location that represents a number with an absolute value of 4.5?

a)

b)

c)

d)

31.

Which expression has the least value?

a)

4¹ + 12

b)

4³

c)

25 - 4²

d)

4⁴ - 160

32.

Marty read x books. Jackie read 28 books, which is 6 more than the number of books Marty read. The equation below can be used to find the number of books Marty read.

x + 6 = 28

Ron read 3 times as many books as Marty. How many books did Ron read?

a)

22

b)

34

c)

66

d)

78

33.

The table shows the relationship between the number of tables and the number of chairs in each of three meeting rooms of an office building.

Which equation describes the relationship between the number of tables and the number of chairs in each meeting room?

a)

c = 3t

b)

c = 8t

c)

c = 21t

d)

c = 24t

34.

A store is having a sale. All items are discounted 20% off the original price. Which table shows the relationship between the original price and the discount?

a)

b)

c)

d)

35.

Combine Like Terms: 7x+13-4x=

a)

28x+13

b)

7x+9

c)

3x+13

36.

Use the Distributive Property to Solve: 7(3x-9)

a)

21x-63

b)

10x+16

c)

4x-9

37.

Factor Out The GCF: 12+24x

a)

3(4+8x)

b)

12(1+2x)

c)

4(3+6x)

38.

Combine Like Terms:

3x+8b+7x+11+6b=

a)

9x+13b-11

b)

11x+6b+18

c)

10x+14b+11

39.

Use the Distributive Property to Solve: 5(6x-7)

a)

5x-35

b)

11x-12

c)

30x-35

40.

Factor Out The GCF: 3+12x

a)

3(1+4x)

b)

12(1+2x)

c)

2(1+6x)

41.

Combine Like Terms: 10b+13-5b+8=

a)

5b+21

b)

50b-6

c)

15b+21

42.

Use the Distributive Property to Solve: 4(5x-7)

a)

20x-28

b)

20x+28

c)

9x+11

43.

Factor Out The GCF: 45x+27

a)

9(5x+3)

b)

13(5x+2)

c)

6(4x+5)

44.

Combine Like Terms: 12b+15+7b-8+7x=

a)

12b+7-7x

b)

5b+23+7x

c)

19b+7+7x

45.

Use the Distributive Property to Solve: 8(4x-20)

a)

12x-28

b)

32x-160

c)

18x-240

46.

Factor Out The GCF: 42x+35b+14

a)

7(6x+5b+2)

b)

7(4x+5b+1)

c)

6(7x+6b+3)

47.

Combine Like Terms: 16x+11p-4x-3p=

a)

12x+8p

b)

27x+7p

c)

20x+14p

48.

Use the Distributive Property to Solve: 2(3x+4p-8)

a)

7x+12p-11

b)

5x+6p-10

c)

6x+8p-16

49.

Factor Out The GCF: 3+6x

a)

3(1+2x)

b)

6(1+2x)

c)

3(x+1)

50.

Combine Like Terms: 22x+9x+3-2x

a)

29x+3

b)

31x+1

c)

28x-6

51.

Use the Distributive Property to Solve: 4(9x-11)

a)

27x-34

b)

13x-14

c)

36x-44

52.

Factor Out The GCF: 27p+24x-9

a)

4(9p+6p-2)

b)

3(9p+8x-3)

c)

4(3+6x+4p)

53.

Combine Like Terms: 7x+13+4x-6=

a)

16x-22

b)

20x+10

c)

11x+7

54.

Use the Distributive Property to Solve: 12(12p-3)

a)

144p-36

b)

132p-15

c)

124p-24

55.

Select all of the characteristics of a parallelogram

a)

Four sides

b)

All angles are right angles

c)

Two pairs of parallel sides

d)

Three sides

56.

What is the area of this triangle?

a)

84 square units

b)

70 square units

c)

35 square units

d)

42 square units

57.

What is the surface area of this rectangular prism?

a)

60 sq cm

b)

47 sq cm

c)

94 sq cm

d)

100 sq cm

58.

Select ALL of the following ratios that are equivalent to 9:3

a)

3:9

b)

3:1

c)

18:6

d)

12:6

59.

4 movie tickets cost $48. At this rate, what is the cost of 5 tickets?

a)

$65

b)

$53

c)

$60

d)

$50

60.

At the auto shop, 4 tires cost $300. What is the cost per tire?

a)

$75

b)

$100

c)

$125

d)

$1200

61.

At the zoo, there are 3 monkeys for every elephant. How many elephants are there if there are 36 monkeys?

a)

14

b)

10

c)

15

d)

12

62.

During a sale, all video games are 15% off. If you buy a game with an original price of $60, how much would you save?

a)

$6

b)

$9

c)

$12

d)

$15

63.

Solve: $\frac{3}{4}\div\frac{2}{3}$

a)

$\frac{9}{8}$

b)

$\frac{6}{12}$

c)

$\frac{1}{2}$

d)

$\frac{9}{4}$

64.

Solve: $3.245\ -1.43$

a)

1.815

b)

4.675

c)

3.102

d)

2.756

65.

$Solve:\ 6.21\times4.2$

a)

26.082

b)

37.26

c)

25.124

d)

29.896

66.

A piece of rope is 12.24 inches long. You cut it into 4 equal size pieces. How long is each piece?

a)

8.24 inches

b)

3.06 inches

c)

16.24 inches

d)

48.96 inches

67.

What is the solution to $x+3=12$

a)

x = 15

b)

x = 10

c)

x = 9

d)

x = 4

68.

What is the solution to $6x=42$

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 36

69.

Select all equations where x = 7 is a solution.

a)

$x+6=13$

b)

$7x=14$

c)

$x^2=49$

d)

$5x=35$

e)

$x\div7=1$

70.

What are the coordinates of the plotted point?

a)

(5, 2)

b)

(-5, 2)

c)

(5, -2)

d)

(-5, -2)

71.

Select all expressions that are equivalent to $\left|-13.8\right|$

a)

13.8

b)

-13.8

c)

$\left|13.8\right|$

72.

A net is shown. Which three dimensional figure is represented by the net?

a)

b)

c)

d)

73.

Jason makes a fruit salad using only strawberries and blueberries.

The ratio of strawberries to blueberries in the salad is 4 cups to 5 cups.

Which statement describes the contents of Jason's fruit salad?

a)

Strawberries make up 4/5 of the fruit salad.

b)

Blueberries make up 5/9 of the fruit salad.

c)

There are 5 strawberries for every 4 blueberries.

d)

There is always 1 more cup of blueberries than strawberries.

74.

An equation is given.

2x = 26

Which calculation would need to be done to solve the equation?

a)

Divide both sides by 2.

b)

Divide both sides by 26.

c)

Multiply both sides by 2.

d)

Multiply both sides by 26.

75.

Luis and Erin are playing a grade. They both start at 0 points. At the end of the game Luis had 250 points and Erin has -250 points.

Which statement about the game is true?

a)

Erin has lost 250 points.

b)

Luis has 250 more points than Erin.

c)

They have a combined total of 500 points.

d)

Erin and Luis have an equal amount of points.

76.

What is the opposite of -3.2?

a)

0

b)

6.4

c)

3.2

d)

-3.2

77.

A rectangular prism is shown.

What is the volume, in cubic inches, of the prism?

a)

40 cubic inches

b)

26 cubic inches

c)

130 cubic inches

d)

16 1/4 cubic inches

78.

Points A and B are shown.

What is the distance, in units, between point A and point B?

a)

5

b)

12

c)

10

d)

20

79.

A printer prints 75 pages in 5 minutes. At the same rate, how many pages will the printer print in 7 minutes?

a)

15 pages

b)

75 pages

c)

105 pages

d)

225 pages

80.

An expression is shown.

6n

What is the value of the expression if n=7?

a)

67

b)

13

c)

42

d)

48

81.

Casey has a total of 18 pens. Twelve of the pens are blue and the rest are red.

What is the ratio of blue pens to red pens?

a)

1 : 2

b)

2 : 1

c)

2 : 3

d)

3 : 2

82.

An expression is shown.

5n

What word describes the 5 in the expression?

a)

Coefficient

b)

Constant

c)

Variable

d)

Exponent

83.

An inequality is shown.

5+x > 9

What is the simplified inequality?

a)

x > 14

b)

x > 3

c)

x > 20

d)

x > 4

84.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

85.

Find the median of these numbers:
4, 2, 7, 4, 3

a)

2

b)

5

c)

7

d)

4

86.

Find the GCF of the pair of numbers: 60 and 72

a)

12

b)

6

c)

2

d)

18

87.

Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?

a)

$0.08

b)

$25

c)

$12

d)

$12.50

88.

There are 75 pieces of candy in a 15 oz bag.

How many pieces are there per ounce?

a)

5 pieces

b)

0.2 pieces

c)

50 pieces

d)

60 pieces

89.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

90.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

d)

2 ∗ y + 5

91.

Snow fell in Monroe twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Monroe on that day?

a)

1/8

b)

3/10

c)

5/8

d)

7/8

92.

At the toy store, there are 28 teddy bears. They are placed equally on 4 shelves. How many bears are on each shelf?

a)

12 bears

b)

4 bears

c)

7 bears

d)

2 bears

93.

Least Common Multiple (LCM) of 6 and 7

a)

24

b)

49

c)

42

d)

36

94.

Greatest Common Factor (GCF) of 45 and 27

a)

7

b)

9

c)

15

d)

12

95.

1/4 + 2/5

a)

14/18

b)

3/20

c)

13/20

d)

3/9

96.

6/7 - 1/3

a)

11/21

b)

5/4

c)

7/21

d)

12/17

97.

3/4 x 5/6 (in simplest form)

a)

5/8

b)

15/24

c)

7/10

d)

5/6

98.

3/7 ÷ 5/8

a)

15/56

b)

15/48

c)

24/30

d)

24/35

99.

19.8 + 4.37

a)

24.17

b)

24.07

c)

14.17

d)

23.17

100.

14 - 3.2

a)

16.3

b)

11.3

c)

10.8

d)

11.8

101.

7.5 x 5.3

a)

0.3975

b)

3.975

c)

39.75

d)

397.5

102.

22.8 ÷ 1.2

a)

0.19

b)

1.9

c)

19

d)

18

103.

Simplify the expression: 4k + 5k

a)

5k + 4

b)

9k

c)

9

d)

4 + k + 5

104.

Simplify the expression: 9b - 2b + 4 + 7

a)

22b

b)

9b + 5

c)

11b + 11

d)

7b + 11

105.

Simplify the expression: 3x + 8 + 4x - 2

a)

11x + 2

b)

7x = 6

c)

7x + 11

d)

7x + 6

106.

Simplify the expression: 2(4x)

a)

2 + 4x

b)

8x

c)

8 + 2x

d)

8 + x

107.

Simplify the expression: 2(n + 3)

a)

2n + 6

b)

2n + 3

c)

n + 6

d)

n + 5

108.

Simplify the expression: 4(j - 8)

a)

4j + 31

b)

4j - 32

c)

4j - 9

d)

j - 32

109.

Area of a parallelogram with base 4 inches and height 5 inches

a)

10 inches

b)

20 inches²

c)

20 inches

d)

9 inches²

110.

Area of a triangle with base 10 miles and height 5 miles

a)

50 miles

b)

25 miles²

c)

50 miles²

d)

25 miles

111.

5.5 x 10

a)

0.55

b)

5.5

c)

55

d)

550

6th Grade Math Review

Total questions: 111

Worksheet time: 5hrs 19mins

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