Free Printable Real Number System Quiz ADV

1.

Which of the following has a value of 24?

a)

b)

c)

d)

2.

Find the perimeter of the square shown.

a)

20 cm

b)

100 cm

c)

80 cm

d)

400 cm

3.

Which of the following fractions would convert to a repeating decimal greater than one?

a)

b)

c)

d)

4.

a)

0.4166 terminating

b)

0.4166...... repeating

c)

2.4 terminating

d)

0.512..... repeating

5.

a)

2/10

b)

1/5

c)

2/9

d)

2/99

6.

a)

b)

c)

d)

7.

Which statement is true about irrational numbers?

a)

Some irrational numbers are integers

b)

Some fractions are irrational

c)

Irrational numbers include decimals with a repeating pattern

d)

The square root of a non perfect square will always be irrational

8.

Reagan bought 0.45 lbs of candy. Express the decimal as a fraction in simplest form.

a)

9/20

b)

45/100

c)

45/99

d)

5/11

9.

The following represents a set of rational numbers. Which choice could be the missing number in the set?

a)

b)

c)

d)

10.

Which statement is true about √96?

a)

√96 is between 8 and 9 and is closer to 9

b)

√96 is between 9 and 10 and is closer to 9

c)

√96 is between 9 and 10 and is closer to 10

d)

√96 is between 8 and 9 and is closer to 8

11.

A square serving platter has an area of 124 in². What is the best estimate of the length of the sides of the platter?

a)

b)

c)

d)

12.

Which of the following statements is false?

a)

b)

c)

d)

13.

William estimated √140 by placing the point on the number line below. Which is true about his estimate?

a)

His estimate is correct. It should be half way between 11 and 12.

b)

His estimate should be closer to 11

c)

His estimate should be closer to 12

d)

His estimate should be between 12 and 13.

14.

Which point represents √12?

a)

A

b)

B

c)

C

d)

E

15.

The point below represents which of the following?

a)

√171

b)

√180

c)

√190

d)

√159

16.

Which of the following has the greatest value?

a)

b)

c)

d)

17.

Order from least to greatest.

a)

√170, 40/3, 5√8

b)

40/3, √170, 5√8

c)

5√8, $\sqrt[]{170},$ 40/3

d)

5√8, 40/3, √170

18.

Choose the correct inequality symbol.

a)

>

b)

<

c)

=

19.

Choose the irrational numbers (there may be more than one).

a)

$5.\overline{2}$

b)

π

c)

√121

d)

√99

e)

4/9

20.

Which point is the best estimate of √27

a)

A

b)

B

c)

C

d)

D

21.

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

a)

>

b)

<

c)

=

22.

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

23.

Which statement is true about √218?

a)

It is between 14 and 15 but is closer to 14.

b)

It is between 14 and 15 but is closer to 15.

c)

It is between 15 and 16 but is closer to 15.

d)

It is between 15 and 16 but is closer to 16.

24.

Which choice represents the decimal as a fraction in simplest form?

a)

2/11

b)

3/20

c)

15/99

d)

5/33

25.

Which is the smallest value? 0.25 or 0.250

a)

0.25

b)

0.250

c)

They are equal

26.

5√25 +10 has the same value as

a)

5 ∛125 +10

b)

5π +10

c)

5 (25) + 10

d)

5√625

27.

The area of a square table is 324 in ². What are the side lengths of the square table?

a)

81 in

b)

162 in

c)

18 in

d)

14 in

28.

Choose all RATIONAL numbers. There may be more than one.

a)

$\sqrt[]{441}$

b)

$\sqrt[3]{241}$

c)

3.555555...

d)

$\pi$

e)

1/3

29.

Which of the following would be between 9 and 10 ?

a)

$3\pi$

b)

$\frac{6\pi}{3}$

c)

$6\pi$

d)

$\frac{\pi}{2}$

30.

Choose ALL points greater than $\sqrt[]{36}$

a)

B

b)

C

c)

D

d)

E

e)

F

31.

SOLVE

$\sqrt[]{29^2\ -\ 21^2}$

a)

8

b)

15

c)

21

d)

20

32.

SOLVE

$\frac{7\pi}{2}$

a)

10.99

b)

5.07

c)

43.98

d)

14.14

33.

Write the repeating decimal as a fraction in simplest form.

34.

SOLVE

15 cubed - 11 squared

a)

16

b)

2500

c)

3254

d)

58

35.

Order from Greatest to Least

8.5%, $\sqrt[]{68}$ , $8\ \frac{1}{5}$ , 8.95

a)

$8.5\%,\ 8\ \frac{1}{5},\ \sqrt[]{68},\ 8.95$

b)

$8.95,\ 8.5\%,\ \sqrt[]{68},\ 8\ \frac{1}{5}$

c)

$8.95,\ \sqrt[]{68},\ 8\ \frac{1}{5},\ 8.5\%$

d)

$8\ \frac{1}{5},\ \sqrt[]{68},\ 8.5\%,\ 8.95$

Real Number System Quiz ADV

Total questions: 35

Worksheet time: 2hrs 44mins

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