Free Printable GVMS - Test Review (Real Number System and Square Roots)

1.

Classify the number 0

a)

Whole

b)

Integer

c)

Rational

d)

Real

e)

All of the above

2.

All whole numbers are rational numbers

a)

True

b)

False

3.

All Integers are whole numbers

a)

true

b)

false

4.

List all the classifications of numbers that apply to the real number.
-18/6

a)

Rational

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational, Integer

5.

List all the classifications of numbers that apply to the real number.
-1/4

a)

None

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational

6.

π or PI is classified as which?

a)

Rational

b)

Irrational

c)

Rational, Real

d)

Irrational, Real

7.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

8.

Estimate √50. Round your answer to the nearest Whole Number.

a)

5

b)

10

c)

25

d)

7

9.

Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

a)

√8

b)

√17

c)

√12

d)

√10

10.

√17 is between

a)

3 and 4

b)

4 and 5

c)

6 and 7

d)

16 and 25

11.

What number is a rational number and not an integer?

a)

$\frac{10}{2}$

b)

$-\frac{12}{3}$

c)

$\frac{3}{4}$

d)

$\sqrt{25}$

12.

Identify all of the following that are not rational numbers.

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{64}$

d)

$\sqrt{70}$

e)

$\sqrt{110}$

13.

True or False: The difference of a rational number and an irrational number is always irrational.

a)

True

b)

False

14.

$The\ sum\ of\ 10\ and\ \sqrt{3}\ is\ irrational.$

a)

True

b)

False

15.

How can we classify 85%?

a)

natural, whole, integer, rational, real

b)

irrational and real

c)

rational and real

d)

integer, rational, real

16.

$\left\{\sqrt{84},\ \sqrt{150},\ \sqrt{300},\ \pi\right\}$

How is the following set best described?

a)

Rational

b)

Irrational

c)

Integers

d)

Whole Numbers

17.

$\left\{...,\ -3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3,...\right\}$

What best describes the following set?

a)

Natural Numbers

b)

Irrational

c)

Integers

d)

Whole Numbers

18.

$\left\{\sqrt{81},\ \sqrt{64},\ \frac{10}{5}\right\}$

Classify all of the following sets this group of numbers belongs.

a)

Natural Numbers, Whole Numbers, Integers, Rational and Real

b)

Irrational and real numbers

c)

Rational and real numbers

d)

Integers, Rational and Real numbers

19.

Identify all of the sets that - 15.2 belongs.

a)

irrational and real

b)

integers, rational and real

c)

rational and real

d)

natural, whole, integers, rational and real

20.

What is an example of an integer that is not a whole number?

a)

$-\sqrt{25}$

b)

$\sqrt{36}$

c)

$\sqrt{398}$

d)

0

21.

Between which two whole numbers is the square root of 78?

a)

6 and 7

b)

7 and 8

c)

8 and 9

d)

9 and 10

22.

$\sqrt{313}$

Between which two whole numbers is the given irrational number?

a)

16 and 17

b)

17 and 18

c)

18 and 19

d)

19 and 20

23.

What whole number is the square root of 248 closest?

a)

13

b)

14

c)

15

d)

16

24.

$What\ integer\ is\ \sqrt{370}\ \ closest?$

a)

17

b)

18

c)

19

d)

20

25.

Which number could replace the given value in the sequence?

16, 16.1, 17, 17.7, 18, ___, 19, 19.3, 20

a)

$\sqrt{319}$

b)

$\sqrt{323}$

c)

$\sqrt{354}$

d)

$\sqrt{364}$

26.

If the square root of a number is 14, then what is that number?

a)

169

b)

196

c)

28

d)

121

27.

Identify each number that is a perfect square.

a)

400

b)

370

c)

361

d)

333

e)

324

28.

Identify each number that is not a perfect square.

a)

40

b)

49

c)

64

d)

75

e)

90

29.

$-\sqrt{289}$

a)

17

b)

$-17$

c)

16

d)

$-16$

30.

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

GVMS - Test Review (Real Number System and Square Roots)

Total questions: 30

Worksheet time: 1hrs 15mins

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