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While studying Algebra in your Math classes, you will learn that a square number is the result of multiplying a number by itself. As an example 5^{2} means 5 x 5.

See how much you remember from your lessons by playing the following quiz.

1.

What is the missing square number in the sequence 1, 4, 9, 16, 25, 36, 49, ......., 81?

56

60

64

68

64 is 8 x 8; on one side it has 7 x 7 (49) and on the other side it has 9 x 9 (81)

2.

What is 1^{2}?

0

1

2

3

1 x 1 = 1

3.

The roof of a rabbit hutch is completely tiled. There are 7 tiles across and 7 tiles down. How many tiles are there altogether?

14

28

42

49

Can you see why the number of tiles might be referred to as 7^{2}?

4.

How would you refer to 3^{2}?

Large 3, little 2

3, superscript 2

3 multiplied by 2

3 squared

You might say '3 to the power of 2' but it is more usual to say '3 squared'

5.

What number is 3^{2}?

3

6

9

12

Multiply 3 by itself (3) and you get 9

6.

Is the number 13,692 a square number?

Yes

No

Only in algebra

Always, except in algebra

A square number (also called a perfect square) is a positive whole number that is formed by multiplying a whole number with itself. For example, 16 = 4 x 4; 1 = 1 x 1; 1,681 = 41 x 41, and so on

7.

What is the next square number after 9?

12

14

16

18

3 x 3 is 9; 4 x 4 is 16

8.

What is 0^{2}?

0

2

4

8

No matter how many times you multiply 0 x 0 it will still be 0!

9.

A patch of garden is 10 meters x 10 meters. What is its area expressed in square meters?

2^{10}

10^{2}

2 x 10

10 x 2

10.

What is the square number that comes immediately before 36?

10

15

20

25

6 x 6 is 36; 5 x 5 is 25