Free Printable Grade 6 math review

1.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

2.

40+(72÷9)÷8

a)

49

b)

25

c)

41

d)

15

3.

Alexis rode her bike 4.5 miles. Johnny rode his bike 8.1 miles. How many more miles did Johnny ride his bike?

a)

3.6

b)

2.7

c)

4.6

d)

12.6

4.

Phillip bought apples from the grocery for $2.20 per pound. If he bought 2.5 pounds of apples on Monday and 1.2 pounds of apples on Tuesday, how much did he spend on apples in total?

a)

$2.64

b)

$5.50

c)

$8.14

d)

$8.80

5.

David drives 40 miles in one hour. How many miles does he drive in 1.5 hours?

a)

50

b)

60

c)

70

6.

Shaniqua can read at a speed of 50 pages per hour. She reads 275 pages one weekend. How many hours does she read?

a)

5

b)

5.5

c)

6

7.

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

a)

g+29

b)

g-29

c)

29g

d)

g ÷ 29

8.

Which expression matches: the product of nine and a number

a)

9 + x

b)

9x

c)

9 ÷ x

d)

9 - x

9.

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?

a)

100 - c

b)

100 + c

c)

100 ÷ c

d)

100c

10.

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

a)

74

b)

38

c)

1000

d)

9000

11.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

12.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

13.

Which is equivalent to 3^{4 ?}

a)

27

b)

9

c)

81

d)

12

14.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

15.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

16.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

17.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

18.

What is the GCF of 4 and 12?

a)

3

b)

1

c)

6

d)

4

19.

what numbers are the factors of 9?

a)

9,18,27,36

b)

1,2,9

c)

1,3,9

d)

0,1,3,9

20.

What is the LCM for 3 and 9?

a)

3

b)

9

c)

27

d)

18

21.

a)

13/3

b)

13/27

c)

9/39

d)

3/13

22.

a)

5/6

b)

3/15

c)

3/8

d)

2/15

23.

Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?

a)

4/8

b)

5/8

c)

3/4

d)

7/8

24.

7 1/6 - 2 5/6

a)

5 4/6 = 5 2/3

b)

5 2/6 = 5 1/3

c)

4 2/6 = 4 1/3

d)

4 4/6 = 4 2/3

25.

Convert 3/4 into a decimal.

a)

0.34

b)

0.43

c)

0.75

26.

Convert 1/10 to a percent.

a)

10%

b)

5%

c)

100%

d)

50%

27.

Convert 67% to a fraction.

a)

6/7

b)

7/6

c)

67/100

d)

67/10

28.

Percent is always out of

a)

10

b)

100

c)

1000

d)

10,000

29.

In a survey of 500 people, 31% said that they were afraid of flying. What decimal represents the number of people who said they were afraid of flying?

a)

.31

b)

3.1

c)

3.01

d)

31

30.

Which statement is true?

a)

.7% = .7

b)

7% = .07

c)

.07% = .07

d)

700% = 70

31.

Which shaded region on the 10-by-10 grid represents 32%?

a)

b)

c)

d)

32.

Which one is NOT equivalent?

a)

.01

b)

.1

c)

1%

d)

$\frac{1}{100}$

e)

One penny

33.

Select all that apply. Write a ratio of the first measurement to the second measurement in THREE different ways. 5 weeks, 35 days

a)

$\frac{5}{35}$

b)

5:35

c)

35:5

d)

5 to 35

e)

35 to 5

34.

A class is attended by 16 boys and 32 girls. Write the ratio of GIRLS to BOYS as a fraction in SIMPLEST FORM.

a)

$\frac{32}{16}$

b)

$\frac{1}{2}$

c)

$\frac{16}{32}$

d)

$\frac{2}{1}$

35.

Find THREE equivalent ratios for 4 to 7. Select all that apply.

a)

$\frac{8}{14}$

b)

7 to 4

c)

24:42

d)

7:4

e)

20:35

36.

What is the opposite of -9?

a)

9

b)

1/9

c)

0

d)

-9

37.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

38.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

39.

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

40.

22°F below zero

a)

-22

b)

2

c)

-2

d)

22

41.

-9 + (-5)

a)

-14

b)

14

c)

-4

42.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

43.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

44.

Which axis runs vertically?

a)

x

b)

Y

45.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant IV

c)

Quadrant III

d)

Quadrant II

46.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

47.

Which point represents (2.5, 3) ?

a)

K

b)

L

c)

M

d)

J

48.

Which ordered pair describes a point located 5 units to the left of the origin, and 3 units below the x-axis?

a)

(5, 3)

b)

(-5, -3)

c)

(5, -3)

d)

(-5, 3)

49.

Find the area of the parallelogram

a)

A = 13 m

b)

A = 20 m²

c)

A = 50 m

d)

A = 40 m²

50.

Find the area of the triangle.

a)

A = 36 ft

b)

A = 18 ft²

c)

A = 36 ft²

d)

A = 13 ft

51.

Find the area of the figure.

a)

A = 600 ft²

b)

A = 1200 ft²

c)

A = 1776 ft²

d)

A = 186 ft²

52.

What is the surface area of this figure?

a)

200 in ²

b)

800 in ²

c)

400 in ²

d)

100 in ²

53.

Find the total surface area of the figure

a)

200 sq. cm

b)

250 sq. cm

c)

216 sq. cm

d)

222 sq. cm

54.

Bob has a rectangular prism gift box what it the volume of bobs gift box?

a)

64in³

b)

60in³

c)

240in³

d)

24in³

55.

A shipping box is filled with boxes of cupcakes. Each cupcake box has a volume of 1 cubic foot. The shipping box is 5 feet high. The bottom layer of the shipping box has 7 cupcake boxes. What is the volume of the shipping box?

a)

35 cubic feet

b)

75 cubic feet

c)

5 cubic feet

d)

1 cubic foot

Grade 6 math review

Total questions: 55

Worksheet time: 3hrs 23mins

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