Free Printable Math 8 Mixed Review (After the Break)

1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

3.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

4.

Where would you place the number -9 on the diagram?

a)

Integers

b)

Whole

c)

Natural

d)

Rational

5.

Which of the following can be classified as a whole number?

a)

-3.5

b)

$\frac{5}{4}$

c)

245

d)

0.66

6.

What set of numbers describes the following number?

-4

a)

Integer

b)

Natural

c)

Whole

7.

Which set of numbers most closely represents "Natural Numbers."

a)

. . .-3, -2, -1, 0 , 1, 2, 3, . . .

b)

0, 1, 2, 3, . . .

c)

1, 2, 3, 4, . . .

8.

Order the following from greatest to least:
0.35, $\frac{3}{8}$ , 42%, $\frac{4}{5}$ , 0.2

a)

$\frac{4}{5}$ , 42%, $\frac{3}{8}$ , 0.35, 0.2

b)

$\frac{3}{8}$ , 42%, $\frac{4}{5}$ , 0.2, 0.35

c)

$\frac{4}{5}$ , 0.35, $\frac{3}{8}$ , 42%, 0.2

d)

0.2, 0.35, $\frac{3}{8}$ , 42% $\frac{4}{5}$

9.

Order of Operations requires we...

a)

do calculations inside grouping symbols last

b)

do calculations inside grouping symbols first

10.

Simplify 4x2(5+5)²

a)

800

b)

900

c)

1,000

d)

The answer is not given

11.

Which operation should be done first? $3\ \times\ 4\ +\ 8\ -\ 2$

a)

addition

b)

subtraction

c)

multiplication

d)

division

12.

Solve :

8 ÷ 8 + 6 × 2

a)

8

b)

13

c)

14

d)

23

13.

Evaluate the expression below:
12 - 3 x 2 - 4 =

a)

1

b)

2

c)

3

d)

4

14.

Evaluate the expression below:
2 x 5 - 1 x 4 =

a)

5

b)

6

c)

7

d)

8

15.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

16.

Which operation would you do first and what is the correct answer?

( 12 + 10) ÷ 10 · 14 - 6

a)

Division and the answer is 20

b)

Multiplication and the answer is 17.6

c)

Addition and the answer is 24.8

d)

Subtraction and the answer is 22

17.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

18.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

19.

√16

a)

4

b)

8

c)

2

d)

9

20.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 5

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

21.

Which square root would come between 10 and 11 on a number line?

a)

√ 98

b)

√ 128

c)

√ 118

d)

√ 81

22.

Which list of numbers contains all Perfect Square numbers?

a)

1, 2, 8, 25, 36, 48, 64, 76,100

b)

4, 9, 25, 36, 64, 81, 100, 144

c)

25, 50, 75, 100, 125, 150

d)

3, 9, 12, 15, 18, 21, 24, 28

23.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

24.

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

25.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

60

c)

18

d)

50

26.

What is a Ratio?

a)

Is a comparison of two quantities

b)

A rate with a denominator of one

c)

It is when the only factor the numerator and denominator share is a one

d)

Two decimals that can be multiplied

27.

What is it called when you set two ratios equal to each other?

a)

Proportion

b)

Fraction

c)

Ratio

d)

Congruent

28.

Use the table to express the ratio in simplest form: Oak To Ash

a)

10/18

b)

10/12

c)

5/6

d)

5/9

29.

Use the table to express the ratio in simplest form: Ash to Maple

a)

2/3

b)

3/2

c)

18/12

d)

12/18

30.

Use the table to express the ratio in simplest form: Maple to All Trees

a)

12/50

b)

12/40

c)

3/10

d)

3/8

31.

Solve the proportion.

a)

18

b)

3

c)

2

d)

9

32.

Solve the proportion.

a)

60

b)

15

c)

3

d)

12

33.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to apples?

a)

5:4

b)

4:5

c)

2:5

d)

6:5

34.

Solve

2x + 5 = 7

a)

1

b)

-1

c)

6

d)

12

35.

Evaluate

3\ \left\{\ 7^2\ +\ \left(2-8\right)\ \times\ 4\right\}

(a)

36.

Evaluate

3\ \left\{\ 7^2\ +\ \left(2-8\right)\ \times\ 4\right\}

(a)

37.

What is the value of

5\ -4^3

?

(a)

38.

Simplify

\left(-5\right)^4\ +\left(-5\right)^3\ \ ?

(a)

39.

Simplify

-4\left(2\times3-5\right)

(a)

40.

Simplify $72\div\left(8-2\right)^2\ +3\times4$

(a)

41.

$20-4^2\ +12$

Evaluate

(a)

42.

n = 7

Evaluate.
3 + $n^2$

(a)

43.

n = 20

Evaluate.
$4\ \times15\ \div n$

(a)

44.

Write the algebraic equation in words.

12 - n = 5

a)

twelve more than a number is five

b)

a number decreased by twelve is five

c)

twelve decreased by a number is five

d)

a number decreased by five is twelve

45.

Combine Terms
3x - 2x + 6x =

a)

7x

b)

6x

c)

x + 6x

d)

7x²

46.

Simplify: 4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

47.

What is the value of y
y - 13 = 8

a)

21

b)

20

c)

5

d)

6

48.

Evaluate b + 5a
when a = 3 and b = 4

a)

9

b)

12

c)

57

d)

19

49.

1. Ted bought a dolphin poster for $12. He now has $5. Which choice models this situation?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

50.

Students mailed invitations to a play to 414 parents. Each student emailed 18 invitations. If 's' equals the number of students who mailed invitations, which equation best shows the number of invitations that were mailed?

a)

s + 18 = 414

b)

18 ÷ s = 414

c)

s ÷ 18 = 414

d)

18s = 414

Math 8 Mixed Review (After the Break)

Total questions: 50

Worksheet time: 2hrs 26mins

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