Free Printable Perfect Squares and Square Roots

1.

Which of these areas is a perfect square?

a)

12

b)

90

c)

40

d)

64

2.

What is the side length of a square that has an area of 36?

a)

9

b)

18

c)

6

d)

1296

3.

What is the side length of a square that has an area of 121?

a)

11

b)

60.5

c)

30.25

d)

14641

4.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

5.

Which of the following in NOT a perfect square?

a)

49

b)

81

c)

111

d)

144

6.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

7.

What would be the side length if you used 49 tiles to create a perfect square?

a)

7 tiles

b)

14 tiles

c)

4 tiles wide and 9 tiles long

d)

3.5 tiles

8.

11²=

a)

22

b)

44

c)

144

d)

121

9.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

10.

196

a)

Is a perfect square.

b)

Is not a perfect square.

11.

65

a)

Is a perfect square.

b)

Is not a perfect square.

12.

$9^2-7^2$

a)

$9-7$

b)

$9+7$

c)

$\left(9-7\right)\left(9+7\right)$

d)

$\left(9-7\right)^2$

13.

$11^2-7^2$

a)

$11-7$

b)

$11+7$

c)

$\left(11-7\right)\left(11+7\right)$

d)

$\left(11-7\right)^2$

14.

$7^2-6^2$

a)

$7-6$

b)

$7+6$

c)

$\left(7-6\right)\left(7+6\right)$

d)

$\left(7-6\right)^2$

15.

$3^2+4^2=$

a)

$5^2$

b)

$7^2$

c)

$1^2$

d)

$12^2$

16.

Click on the TRUE statements

a)

$3^2+4^2=5^2$

b)

$6^2+8^2=10^2$

c)

$5^2+12^2=13^2$

d)

$5^2+12^2=17^2$

17.

$5^2-4^2=$

(a)

18.

$10^2-8^2=6^2$

a)

true

b)

false

19.

$13^2-12^2=$

a)

$5^2$

b)

$\left(13-12\right)\left(13+12\right)$

c)

$13+12$

d)

$1^2$

e)

$25^2$

20.

How confident do you feel about your understanding of Perfect squares, Difference of squares, and sum of squares

a)

I understand and I could teach someone else

b)

I understand and am confident

c)

I understand but still have some questions

d)

I understand but need more practice

21.

(-6)²

a)

12

b)

-12

c)

-36

d)

36

22.

What is the square root of 25?

a)

5

b)

12

c)

3

d)

6

23.

$1^2=2$

a)

TRUE

b)

FALSE

24.

$\sqrt{25}=\sqrt{x^2}$
What is the answer for x?

a)

5

b)

10

c)

25

25.

$\sqrt{\frac{64}{25}}=\frac{y}{5}$
What is y?

a)

4

b)

8

26.

$\left(\frac{1}{4}\right)^2=$

a)

$\frac{1}{8}$

b)

$\frac{1}{16}$

27.

Which of the following is TRUE? (Choose 2)

a)

1 is the number of perfect square

b)

$3^2=6$

c)

$\sqrt{9^2}=9$

d)

Square root of 4 is 16

28.

$\sqrt{25}$

a)

4

b)

5

c)

625

d)

50

29.

$\sqrt{144}$

a)

12

b)

100

c)

11

d)

13

30.

$\sqrt{81}$

a)

40.5

b)

7

c)

9

d)

8

31.

$\sqrt{400}$

a)

20

b)

100

c)

4

d)

3

32.

What is the symbol called for the Square Root?

a)

Radical

b)

Roof

c)

Line

d)

Check mark

33.

All sides of a square are (a)

34.

If x²= 100, then

a)

x = 10 and x = -10

b)

x = -10

c)

x = 10

d)

x = 50

35.

$\sqrt{54}$ is between which two integers

a)

3 and 4

b)

4 and 5

c)

8 and 9

d)

7 and 8

36.

$-\sqrt{4^2}$

a)

-2

b)

2

c)

-4

d)

4

37.

What is the length of a side of the square shown?

a)

42.25 inches

b)

84.5 inches

c)

13 inches

d)

14 inches

38.

How do you feel about this material?

a)

Understand

b)

A little confused

c)

Completely confused

39.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

40.

The √20 is between which two consecutive integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

Perfect Squares and Square Roots

Total questions: 40

Worksheet time: 1hrs 20mins

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