Free Printable Math 8 Quarter Test #1 Review

1.

51 is a _____________ of 3

a)

Factor

b)

Multiple

2.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

3.

Which pair of numbers has a GCF of 10 AND a LCM of 60?

a)

2 and 5

b)

20 and 30

c)

5 and 10

d)

15 and 20

4.

Simplify : 12/15

a)

2/3

b)

4/5

c)

2/5

d)

5/2

5.

Which of the following fractions are equivalent?

a)

$\frac{1}{2}=\frac{2}{5}$

b)

$\frac{3}{4}=\frac{8}{12}$

c)

$\frac{1}{3}=\frac{3}{12}$

d)

$\frac{2}{3}=\frac{6}{9}$

6.

Reduce 15/45 in its simplest form.

a)

3/9

b)

1/3

c)

30/90

d)

Already in simplest form

7.

Joe's mom ordered 12 pizzas for a party. 1/4 of the pizzas were pepperoni pizzas, how many pepperoni pizzas were there?

Which operation you would apply to solve this?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

8.

A hamster weighs $4\ \frac{2}{6}$ pounds. A mouse weighs $3\ \frac{1}{2}$ pounds. How much more does the hamster weigh than the mouse?

Which operation would you apply to solve this?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

9.

5 students shared $\ \frac{1}{2}$ of a brownie cake. What fraction amount of the cake did each student get?

Which operation would you need to apply to solve this?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

10.

Annie is baking cakes for her brother's birthday. She uses $\frac{4}{5}$ cups of flour for each cake. If she bakes 3 cakes, how many cups of flour will she need in all?

a)

$\frac{4}{15}$ cups

b)

$1\frac{4}{5}$ cups

c)

$2\frac{2}{5}$ cups

d)

$3\frac{1}{5}$ cups

11.

How many 7/8 cup servings are in a pitcher that contains 8 1/4 cups of fruit? What operation should you use to solve this problem?

a)

$+$

b)

$\div$

c)

$\times$

d)

$-$

12.

a)

²/₅

b)

¹/₁₀

c)

²/₁₀

d)

¹/₇

13.

a)

¹/₃

b)

²/₅

c)

³/₆

d)

³/₅

14.

$\frac{1}{5\ }\times\ 40$

a)

8

b)

$\frac{1}{6}$

c)

2

d)

$\frac{1}{3}$

15.

$1\frac{2}{3}\times2\frac{1}{2}=?$

a)

$3\frac{5}{6}$

b)

$3\frac{1}{3}$

c)

$4\frac{1}{6}$

d)

$4\frac{1}{3}$

16.

After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza?

a)

26 guests

b)

28 guests

c)

8 guests

d)

33 guests

17.

$\frac{3}{7}\times1\frac{1}{5}$

a)

$\frac{18}{36}$

b)

$\frac{18}{35}$

c)

$\frac{17}{34}$

d)

$\frac{17}{33}$

18.

There were $1\frac{1}{2}$ pizzas left after the party. John's father ate $\frac{3}{4}$ of the leftovers for a midnight snack. What fraction of a whole pizza did John's father eat?

a)

$1\frac{1}{8}$

b)

$\frac{4}{3}$

c)

$\frac{4}{8}$

d)

$1\frac{1}{4}$

19.

Annie is baking cakes for her brother's birthday. She uses $\frac{4}{5}$ cups of flour for each cake. If she bakes 3 cakes, how many cups of flour will she need in all?

a)

$3\ \div\frac{4}{5}\ =\frac{4}{15}$ cups

b)

$3\ \times\frac{4}{5}=1\frac{4}{5}$ cups

c)

$3\ \times\frac{4}{5}=2\frac{2}{5}$ cups

d)

$3\ \div\frac{5}{4}=3\frac{1}{5}$ cups

20.

Each serving of punch is $\frac{2}{3}$ cup. If Maria drank $3\frac{1}{2}$ servings, how many cups of punch did she drink in all?

a)

$\frac{2}{3}\times3\frac{1}{2}=3\frac{4}{6}$ cups

b)

$\frac{2}{3}\times3\frac{1}{2}=2\frac{1}{3}$ cups

c)

$3\frac{1}{2}\div\frac{2}{3}\ =5\frac{1}{4}$ cups

21.

Taylor is having a sleepover. She bought 3 pizzas to be shared equally among 12 friends. Which two equivalent representations could be used to determine how much pizza each friend will receive?

a)

$12\ \div3\ and\ \frac{12}{3}$

b)

$3\ \div\ 12\ and\ \frac{3}{12}$

c)

$3\ \div\ 12\ and\ \frac{12}{3}$

d)

$12\div3\ and\ \frac{3}{12}$

22.

I have a 6 foot-long piece of wood that I want to cut to build picture frames. If each piece is going to be $\frac{3}{4}$ foot long, how many pieces will I be able to cut from the 6 foot-long piece of wood?

a)

8 pieces

b)

6 pieces

c)

12 pieces

d)

24 pieces

23.

What is the value of $7\ \times\ \frac{1}{4}$ , and why?

a)

The value is $\frac{1}{28}$ because $\frac{1}{7}\times\frac{1}{4}=\frac{1}{28}$

b)

The value is $\frac{4}{7}$ because $\frac{1}{7}\times\frac{4}{1}=\frac{4}{7}$

c)

The value is $\frac{7}{4}$ because $\frac{7}{1}\times\frac{1}{4}=\frac{7}{4}$

d)

The value is $\frac{28}{1}$ because $\frac{7}{1}\times\frac{4}{1}=\frac{28}{1}$

24.

What is $\frac{1}{5}\div4$ ?

a)

1/20

b)

1/9

c)

9

d)

20

25.

Which multiplication problem matches this model?

a)

$\frac{4}{7}\times\frac{1}{4}$

b)

$\frac{2}{4}\times\frac{2}{7}$

c)

$\frac{1}{2}\times\frac{1}{3}$

d)

$\frac{1}{5}\times\frac{2}{6}$

26.

What is the reciprocal of 3/8 ?

a)

-3/8

b)

3/8

c)

8/3

d)

-8/3

27.

Divide. (Simplify if necessary)

2 ¼ ÷ 4 ⅕ =

a)

11/26

b)

⅝

c)

⅞

d)

15/28

28.

Which is equivalent to the problem shown?

a)

b)

c)

d)

29.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

30.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

31.

What value for x makes the following equation true?

12x + 4x = 64

a)

x = 4

b)

x = 16

c)

x = 8

d)

x = -4

32.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

33.

Five less than twice a number is equivalent to 47.

a)

5 - 2x = 47

b)

2x - 5 = 47

c)

5x - 2 = 47

d)

2 - 5x = 47

34.

The sum of four consecutive odd integers is equivalent to 232. Which equation can be used to find the first integer?

a)

4x = 232

b)

x + x + 2 + x + 4 + x + 6 = 232

c)

x + x + 1 + x + 3 + x + 5 = 232

d)

x ⋅ x ⋅ x ⋅ x = 232

35.

Jill sold half of her comic books and then bought sixteen more. She now has 36. Which equation shows how to solve the question: "With how many did she begin?"

a)

$\frac{x}{2}+36=16$

b)

$2x\ +\ 16=36$

c)

$2\left(x\ +\ 16\right)\ =\ 36$

d)

$\frac{x}{2\ }\ +\ 16\ =\ 36$

36.

Use distributive property to expand this expression:

2(8x + 7)

a)

16x + 14

b)

10x + 9

c)

16x + 9

d)

30x

37.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

38.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

39.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

40.

Which expression is equivalent to 5 x 18?

a)

5(10 x 18)

b)

5(10 + 8)

c)

5(8)

d)

18(5 + 10)

41.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

42.

Simplify then Solve.

9(r + 5) = 63

a)

r = 1

b)

r = 12

c)

r = 2

d)

r = 21

43.

The √40 is between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

44.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

45.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

46.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

47.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

48.

2 x 2 x 2 is the prime factorization of...

a)

6

b)

12

c)

22

d)

8

49.

a)

18 = 2 x 2 x 3

b)

18 = 2 x 9

c)

18 = 2 x 3 x 3

50.

The prime factors of 70 are?

a)

3 x 5 x 7

b)

5 x 7 x 7

c)

2 x 5 x 7

51.

\sqrt{160}

is between which two perfect squares?

a)

11

b)

12

c)

13

d)

14

52.

Which of the following is the best approximation of $\sqrt{45}$ ?

a)

6.7

b)

6.2

c)

6

d)

7

53.

Which of the following represents 2²?

a)

b)

c)

d)

54.

Find the best estimate for √18 .

Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

55.

Which of the following square roots being represented by point B?

a)

√2.5

b)

√6

c)

√2

d)

√8

56.

Which set of numbers are in order from least to greatest?

a)

2.3, √4, 4.5, √9

b)

√15, 3.6, 5.2, √20

c)

4.3, √23, 5, √30

57.

The area of a square is 100 cm². What is the perimeter?

a)

25 cm

b)

10 cm

c)

40 cm

d)

50 cm

Math 8 Quarter Test #1 Review

Total questions: 57

Worksheet time: 2hrs 47mins

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