Perfect Squares & Cubes

Are you a perfect square?

1

Is 27 a perfect square? Yes or No and why?

No. 27 falls between two consecutive perfect squares 25 and 36 (squares of 5 and 6).

1

Is 9 a perfect square? 

Yes. 3² = 9

2

Is 145 a perfect square? How do you know?

No. 145 is between two consecutive perfect squares 121 and 144 (squares of 11 and 12).

2

Is 64 a perfect square? Yes or No and why?

Yes. 8² is 8 x 8 which is 64. 

3

Is 4 a perfect square?

Yes. 2² is 2 x 2 which is 4. 

Square It

1

What is 13²

169

1

What is 9² 

81

2

What is 1²

1 

2

What is 6² 

36

3

What is 10²

100

Cube it

1

What is 3³

27

1

What is 5³

125

2

What is 1³

1

2

What is 2³

8

3

What is 4³

64

Are you a perfect cube?

1

Is 64 a perfect cube? 

Yes. 4³ = 64 

1

Is 343 a perfect cube? 

Yes. 7³ = 343 

2

Is 33 a perfect cube? 

No. 33 falls between 3³ and 4³   

2

Is 81 a perfect cube? Yes or No and why?

No. 81 falls between two consecutive perfect cubes 64 and 125 (cubes of 4 and 5).

3

Is 27 a perfect cube?

Yes. 3³ = 27

Squares and Cubes

1

What is the square root of 81? 

9

1

What is the square root of 225? 

15

2

What is the cube root of 64? 

4

2

What is the cube root 1331?

11 

3

What is the square root of 4 plus the square root of 16? 

6. 

square root of 4 = 2 

square root of 16 = 4 

2 + 4 = 6