Free Printable Math 8 Cumulative Review 1-1 to 1-7

1.

Select all that apply that will classify the following number: -16

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

2.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

3.

Select all that apply that will classify the following number: -2.5

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

4.

Select all that apply that will classify the following number: $\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

5.

Select all that apply that will classify the following number: 0.3333...

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

6.

Select all that apply that will classify the following number: -3

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

7.

Zero can be classified as all of the following except which?

a)

Whole

b)

Rational

c)

Integer

d)

Natural

8.

π or PI is classified as which?

a)

Rational

b)

Irrational

c)

Rational, Real

d)

Irrational, Real

9.

Classify the following:
√13?

a)

Rational

b)

Irrational

10.

What kind of number is π ?

a)

rational

b)

irrational

c)

whole

d)

integer

11.

Is 3.74 a rational number?

a)

yes

b)

no

12.

Is -5/8 a rational number?

a)

yes

b)

no

13.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

14.

The square root of 2 is an irrational number because...

a)

All square roots are irrational

b)

The answer is a decimal that never stops

c)

Two is an even number

d)

The answer is 1

15.

Irrational numbers...

a)

reduce to π

b)

are non terminating and non repeating decimals

c)

can sometimes be perfect squares

d)

must be negative

16.

-17.5

a)

Rational

b)

Irrational

17.

4.032

a)

Rational

b)

Irrational

18.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

19.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

20.

$9^2=18$ True or false?

a)

True

b)

False

21.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

22.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

23.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

24.

Determine which is perfect square?

a)

54

b)

36

c)

21

d)

43

25.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

26.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

27.

∛216

a)

6

b)

72

c)

108

d)

4

28.

Mrs. Hiltz and Ms. Weber decide to host a lemonade stand. The table they use has side lengths of 5 feet. What is the area of their table?

a)

25 feet

b)

25 square inches

c)

5 ft²

d)

25 square feet

29.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

30.

Mr. Woodside is building a garden outside of Walker-Grant Middle School. He has enough fertilizer to cover 121 square feet. If Mr. Woodside wants to make a square garden, what should the length of each side be?

a)

12ft

b)

121ft

c)

11ft

d)

13ft

31.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

32.

Between which two whole numbers is the square root of 277?

a)

15 and 16

b)

16 and 17

c)

18 and 19

d)

14 and 15

33.

Order 3π, √ 10 , and 3.25 from least to greatest.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

34.

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

35.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

36.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

37.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

38.

3. Which list of numbers is in order from least to greatest?
A. 5/8, 9/16, 5/12
B. 5/12, 9/16, 5/8
C. 9/16, 5/12, 5/8
D. 9/16, 5/8, 5/12

a)

A

b)

B

c)

C

d)

D

39.

Which list of numbers is in order from least to greatest?

a)

A √23, 5, 6, 43%

b)

B 5, √23, 6, 43%

c)

C 43%, 5, √23, 6

d)

D 43%, √23, 5, 6

40.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

41.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

42.

Which of these values is the LEAST?

a)

0

b)

-3

c)

65%

d)

1/2

43.

What is 37% as a decimal?

a)

37

b)

3.7

c)

.37

d)

.037

44.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

45.

$3_{\sqrt{-1}}$ (cube root of -1)

a)

$\pm1$

b)

1

c)

-1

d)

none of the above (imaginary number)

46.

$-6^2$ = ?

a)

36

b)

-36

c)

12

d)

-12

47.

$\left(-6\right)^2$ = ?

a)

12

b)

-12

c)

-36

d)

36

48.

Solve for p when $p^2=100$

a)

$\pm10$

b)

10

c)

$\pm1,000$

d)

1,000

49.

Solve for x when $x^3=\frac{1}{8}$

a)

2

b)

$\frac{1}{64}$

c)

$\frac{1}{3}$

d)

$\frac{1}{2}$

50.

Write an equation for the phrase "Two cubed is equal to the square root of x".

a)

$4=\sqrt{16}$

b)

$2^2=\sqrt{x}$

c)

$2^{3\ }=\sqrt{x}$

d)

$\sqrt{x}=2$

51.

Which of the following is irrational?

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{81}$

d)

$\sqrt{121}$

52.

$5^3\cdot5^4$

a)

$5^2$

b)

$5^7$

c)

$5^6$

d)

$5^{10}$

53.

$\frac{5^3}{5^2}$

a)

$5$

b)

$5^5$

c)

$5^2$

d)

$5^8$

54.

$\frac{7^3}{7^{10}}$

a)

$7^7$

b)

$\frac{1}{7^7}$

c)

$7^{13}$

d)

$\frac{1}{7^{13}}$

55.

$5^{-1}$

a)

$\frac{1}{5}$

b)

$\frac{1}{5^{100}}$

c)

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

d)

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

56.

$\left(\frac{1}{4^3}\right)^5$ CHALLENGE PROBLEM. THINK DISTRIBUTE THE FIVE!!!!

a)

$\frac{1}{4^{15}}$

b)

$\frac{1}{4^8}$

c)

$\frac{1}{4^2}$

57.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

58.

Simplify:
(x³)²

a)

x⁵

b)

x

c)

x⁶

d)

3x²

59.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

60.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

61.

t⁹ x t⁸

a)

t¹

b)

t⁷²

c)

t¹⁷

d)

t

62.

Write with positive exponents:

a)

a^-2

b)

a²

c)

$\frac{1}{a^2}$

d)

2a

63.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

64.

THE PRODUCT RULE FOR EXPONENTS YOU....

a)

subtract

b)

add

c)

multiply

d)

divide

65.

QUOTIENT RULE FOR EXPONENTS YOU....

a)

add

b)

divide

c)

multiply

d)

subtract

66.

The power rule for exponents you....

a)

divide

b)

multiply

c)

subtract

d)

add

67.

Are these two equivalent: 2² = (-2)²

a)

Yes

b)

No

68.

Are these two equivalent: (-2)³ = 2³

a)

Yes

b)

No

69.

Are these two equivalent: (-2)³ = -2³

a)

Yes

b)

No

70.

True or False: -9² = (-9)(-9)

a)

True

b)

False

71.

A negative base raised to an even power is negative.

a)

Always True

b)

Always False

c)

Sometimes

72.

A negative base raised to an odd power is negative.

a)

Always True

b)

Always False

c)

Sometimes

73.

5⁰ = ?

a)

1

b)

5

c)

0

d)

50

74.

Evaluate: (-1)²⁰¹⁶

a)

-1

b)

-2016

c)

1

d)

2016

75.

Evaluate: (-1)²⁰¹⁵

a)

-1

b)

1

c)

-2015

d)

2015

Math 8 Cumulative Review 1-1 to 1-7

Total questions: 75

Worksheet time: 4hrs 38mins

Similar Resources on Wayground