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Level 3-4 Algebra - Square Numbers
The square number immediately after 16 is 25.

Level 3-4 Algebra - Square Numbers

In your KS3 Maths adventures, you've probably bumped into powers – those small numbers hanging out above and to the right of another number. We even did a quiz on it! Powers are like secret codes, telling you to multiply a number by itself as many times as the power says. The superstar power in algebra (and the one you'll come across most often) is the square.

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The square is like the basic power move, just asking you to multiply a number by itself once. So, if you've nailed your times tables, you've got square numbers in the bag. 12 is 1 x 1, 22 is 2 x 2, 32 is 3 x 3, and so on.

Test your square number savvy in this quiz. Take it easy, read each question carefully, and peek at the comments after. They're like little guides to clear up any doubts. Let's see what you remember!

1.
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 72?
2.
How would you refer to 32?
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'
3.
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
4.
What number is 32?
3
6
9
12
Multiply 3 by itself (3) and you get 9
5.
What is 02?
0
2
4
8
No matter how many times you multiply 0 x 0 it will still be 0!
6.
What is 12?
0
1
2
3
1 x 1 = 1
7.
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)
8.
A patch of garden is 10 metres x 10 metres. What is its area expressed in square metres?
210
102
2 x 10
10 x 2
9.
What is the next square number after 9?
12
14
16
18
3 x 3 is 9; 4 x 4 is 16
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
You can find more about this topic by visiting BBC Bitesize - What are square and cube numbers

Author:  Frank Evans
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