Free Printable Unit 5 Real Number System Review

1.

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

2.

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

3.

Which is the best estimate for: √15

a)

5.6

b)

2.6

c)

3.9

d)

3.6

4.

Which is the best estimate for: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

5.

Which is the best estimate for: √119

a)

10.9

b)

10.7

c)

11.1

d)

19

6.

Which number is NOT a perfect square?

a)

196

b)

169

c)

121

d)

132

7.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

8.

Which number has a square root that could be estimated at 8.9?

a)

65

b)

90

c)

80

d)

70

9.

Between which two whole numbers is the square root of 20?

a)

5 and 6

b)

10 and 2

c)

4 and 5

d)

3 and 4

10.

Which number is a perfect square?

a)

225

b)

132

c)

99

d)

110

11.

What two integers is the square root of 115 between?

a)

9 and 10

b)

10 and 11

c)

11 and 12

d)

12 and 13

12.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

13.

_____________ number is a number that cannot be written as a ratio of two integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

14.

Between which two whole numbers is the

√20 ? (click the question to better view the image if needed)

a)

5 and 6

b)

10 and 2

c)

4 and 5

d)

3 and 4

15.

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

a)

P

b)

Q

c)

R

d)

S

16.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

17.

1- Which number is a perfect square?

a)

a) 32

b)

b) 25

c)

c) 22

d)

D) 24

18.

3- Which number is perfect square?

a)

a) 36

b)

b) 39

c)

c) 89

d)

d) 11

19.

4- Which number is a perfect square?

a)

a) 100

b)

b) 110

c)

c) 120

d)

d) 59

20.

5- Which number is perfect square?

a)

a) 124

b)

b) 144

c)

c) 158

d)

d) 164

21.

6-Which number is perfect square?

a)

a) 1

b)

b) 2

c)

c) 5

d)

d) 8

22.

7- Which number is perfect square?

a)

a) 3

b)

b) 16

c)

c) 33

d)

d) 13

23.

What is the solutions for

\sqrt{\frac{9}{25}}

(please type in the answer)

(a)

24.

Now you try:

What is the solution:

\sqrt{\frac{25}{100}}

Make sure your answer is in simplest form :)

(a)

25.

What is the solution for

\sqrt{-16}

please type in the answer

(a)

26.

Now you try:

Find the solution:

\sqrt{-49}

(a)

27.

$t^2=121$
$t=\sqrt{121}$
$t=11$

(a)

28.

$You\ try:\ \ \ \ \ \ k^2=196$

(a)

29.

$\sqrt{64\ }$

(a)

30.

$\sqrt{36}$

(a)

31.

$\sqrt{144}$

(a)

32.

What perfect square can we take out of

\sqrt{8}

?

(a)

33.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

34.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

35.

√-9

a)

3

b)

-3

c)

81

d)

Not possible

36.

True or False: To convert a fraction to a decimal, divide the numerator by the denominator.

a)

True

b)

False

37.

Convert $\frac{3}{5}$ to a decimal.

a)

0.6

b)

1.5

c)

0.3

d)

15.0

38.

Convert $\frac{15}{20}$ to a decimal.

a)

0.15

b)

3.00

c)

0.75

d)

1.25

39.

Convert $\frac{2}{3}$ to a decimal.

a)

0.6 (repeating)

b)

0.5

c)

0.3 (repeating)

d)

0.2

40.

Convert to a decimal

a)

0.25

b)

0.7

c)

0.34

d)

0.75

41.

Convert to a decimal

a)

0.6

b)

0.3

c)

0.35

d)

0.06

42.

Convert to a decimal

a)

0.7

b)

0.35

c)

2.7

d)

0.28

43.

Convert to a decimal

a)

0.12

b)

3.25

c)

0.15

d)

1.2

44.

Convert to a decimal

a)

0.65

b)

0.132

c)

0.065

d)

0.26

45.

What is 1/3 as a decimal

a)

.3̅

b)

.6̅

c)

1.3

d)

.03

46.

What is the equivalent fraction?

a)

1/2

b)

0/2

c)

2/100

d)

1/5

47.

What is the equivalent fraction?

a)

3/2

b)

3/20

c)

5/33

d)

1/5

48.

What is the equivalent fraction?

a)

2/5

b)

4/9

c)

1/4

d)

4/1

49.

What is the equivalent fraction?

a)

62/10

b)

31/5

c)

31/50

d)

6/2

50.

Convert the following to a fraction: 0.45

a)

$\frac{1}{4}$

b)

$\frac{9}{20}$

c)

$\frac{45}{10}$

d)

$\frac{8}{10}$

51.

Change to a fraction:

0.391

a)

391/1000

b)

391/100

c)

3/91

d)

391

52.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

53.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

54.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

55.

a)

24/99

b)

2 4/9

c)

2 2/5

d)

6/25

56.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

57.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

58.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

59.

a)

- 3/100

b)

- 3/10

c)

- 1/3

d)

- 1/33

60.

a)

1 8/9

b)

17/90

c)

17/100

d)

1 18/99

61.

Categorize the following: $\frac{3}{4}$

a)

Rational

b)

Irrational

62.

Categorize the following: $-32$

a)

Rational

b)

Irrational

63.

Categorize the following: $5.984732...$

a)

Rational

b)

Irrational

64.

Categorize the following: $7.\overline{5}$

a)

Rational

b)

Irrational

65.

Categorize the following: $\sqrt{36}$

a)

Rational

b)

Irrational

66.

Categorize the following: $\sqrt{15}$

a)

Rational

b)

Irrational

67.

Is the number rational or irrational?

a)

Rational -

b)

Irrational

68.

Is the number rational or irrational?

a)

Rational

b)

Irrational

69.

Is the number rational or irrational?

a)

Rational

b)

Irrational

70.

Is the number rational or irrational?

a)

Rational

b)

Irrational

71.

Is the number rational or irrational?

a)

Rational

b)

Irrational

72.

-6

Rational or Irrational?

a)

Rational

b)

Irrational

73.

$\sqrt{10}$

Rational or Irrational?

a)

Rational

b)

Irrational

74.

1.4325674454354245.......

a)

Rational

b)

Irrational

75.

$\frac{1}{2}$

Rational or Irrational?

a)

Rational

b)

Irrational

Unit 5 Real Number System Review

Total questions: 75

Worksheet time: 1hrs 29mins

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