Free Printable Number System Review

1.

-6.75

a)

natural

b)

whole

c)

integer

d)

rational

e)

irrational

2.

Evaluate

a)

27

b)

14

c)

158

d)

2/7

3.

Evaluate

-\sqrt{100}

a)

10

b)

-10

c)

10000

d)

-10000

4.

Evaluate

10+\sqrt{169}

a)

13

b)

23

c)

1690

d)

24

5.

The square pool at Sami's Gym has an area of 144 sq. ft.

What is the length of one side of the pool?

a)

144 ft

b)

12 ft

c)

20,736 feet

d)

-12 ft

6.

Alina bought a square frame for her desk. It has an area of 81 square inches. What is the perimeter of her frame?

a)

9 inches

b)

81 inches

c)

36 inches

d)

18 inches

7.

Between which two whole numbers does

\sqrt{150\ }

lie?

a)

149 and 151

b)

144 and 169

c)

12 and 13

d)

13 and 14

8.

Which is TRUE?

a)

$7<\sqrt{65}<8$

b)

$2<\sqrt{7}<3$

c)

$10<\sqrt{95}<11$

d)

$13<\sqrt{160}<14$

9.

A square sandbox has an area of 75 square feet. estimate the length on one side.

a)

about 5625 feet

b)

about 7 feet

c)

about 15 feet

d)

about 8.6 feet

10.

Sheri estimated the

\sqrt{190}

by placing placing the point on the number line.
What is wrong with this estimate?

a)

The estimate is too low, it should be closer to 14.

b)

The estimate is too high, it should be loser to 13

c)

The numbers are wrong, it should be between 12 and 13

11.

Which point on the line best represents

\sqrt{5}

?

a)

A

b)

B

c)

C

12.

This Point best represents which of the following?

a)

$\sqrt{80}$

b)

$\sqrt{72}$

c)

$\sqrt{67}$

13.

Which of these is best represented by the point on the line?

a)

$\sqrt{142}$

b)

$\sqrt{146}$

c)

$\sqrt{125}$

14.

Identify this number:

0.87

a)

rational

b)

irrational

c)

whole

d)

integer

15.

Identify this number: $-\sqrt{121}$

a)

rational

b)

irrational

c)

whole

d)

integer

16.

Identify this number: $\frac{19}{99}$

a)

rational

b)

irrational

c)

whole

d)

integer

17.

Identify this number: $\sqrt{70}$

a)

rational

b)

irrational

c)

whole

d)

integer

18.

Identify this number: $0.\overline{72}$

a)

rational

b)

irrational

c)

whole

d)

integer

19.

$-\sqrt{82}$ , 6.82941..., $\sqrt{11}$ , ________

This set of numbers contains ONLY irrational numbers, What is another number you could add to this set?

a)

6.825

b)

$\frac{4}{3}$

c)

$3\pi$

d)

$0.\overline{7}$

20.

$-\frac{18}{3}$

CHECK ALL

a)

real

b)

whole

c)

integer

d)

rational

e)

natural

21.

$-18.75$

CHECK ALL

a)

real

b)

whole

c)

integer

d)

rational

e)

natural

22.

$\sqrt{36}$

CHECK ALL

a)

real

b)

whole

c)

integer

d)

rational

e)

natural

23.

$\pi^2$

CHECK ALL

a)

real

b)

whole

c)

integer

d)

rational

e)

natural

24.

Where does this number go? 0

a)

A

b)

B

c)

C

d)

D

e)

E

25.

$\sqrt{3}$

Where does this number go?

a)

A

b)

B

c)

C

d)

D

e)

E

26.

$\frac{8}{5}$

Where does this number go?

a)

A

b)

B

c)

C

d)

D

e)

E

27.

$-\frac{14}{7}$

Where does this number go?

a)

A

b)

B

c)

C

d)

D

e)

E

28.

$\sqrt{25}$

Where does this number go?

a)

A

b)

B

c)

C

d)

D

e)

E

29.

Every real number is a rational number

a)

true

b)

false

30.

Every whole number is an integer

a)

true

b)

false

31.

Some irrational numbers are integers

a)

true

b)

false

32.

Some integers are natural numbers

a)

true

b)

false

33.

A marine biologist discovered species with a diameter of 0.00085 inches. Express this measurement using scientific notation.

a)

$85\ \times10^4$

b)

$8.5\times10^{-4}$

c)

$8.5\times10^4$

d)

$8.5\times10\times4$

34.

Frankie entered a sweepstakes to win a grand prize of $10,500,000,000. Express this amount using scientific notation.

a)

$1.5\times10^{10}$

b)

$1.05\times10^{-10}$

c)

$15\times10^{10}$

d)

$1.05\times10^{10}$

35.

Which of the following is a correct representation of 0.000005?

a)

$50\times10^{-7}$

b)

$5\times10^{-6}$

c)

$5\times10^6$

d)

$.5\times10^{-6}$

36.

$7.1$ , $6\pi$ , $\frac{20}{3}$ , $\sqrt{51}$

Which of these real numbers has the smallest value?

a)

$7.1$

b)

$6\pi$

c)

$\frac{20}{3}$

d)

$\sqrt{51}$

37.

$13.09$ , $13\ \frac{1}{5}$ , $\sqrt{169}$ , $13.\overline{1}$

Which of the following real numbers has the greatest value?

a)

13.09

b)

$13\ \frac{1}{5}$

c)

$\sqrt{169}$

d)

$13.\overline{1}$

38.

Fill in the blank with the correct inequality symbol.

a)

<

b)

>

c)

=

39.

Fill in the blank with the correct inequality symbol.

a)

<

b)

>

c)

=

40.

$-1.03$ , $-\frac{3}{2}$ , $-2\sqrt{2}$ , $-\pi$

Place the following values in ascending order:

a)

$-2\sqrt{2}\ ,\ -\pi,\ -1.03,\ -\frac{3}{2}$

b)

$-1.03,\ -2\sqrt{2}\ ,\ -\pi,\ -1.03$

c)

$-\frac{3}{2},\ -\pi,\ -2\sqrt{2},\ -1.03$

d)

$-\pi\ ,\ -2\sqrt{2},\ -\frac{3}{2}\ ,\ -1.03$

Number System Review

Total questions: 40

Worksheet time: 21mins

Similar Resources on Wayground