No doubt during your KS3 Maths lessons you've come across powers. You may even have done our quiz on the subject. Powers are the small numbers above and to the right of another number. Basically, they tell you to multiply that number by itself as many times as the power requires.
The power you will come across most often in algebra is the square. This is the most basic power and it means that you should multiply the number by itself just the once. So, if square numbers are the result of multiplying numbers by themselves, then you'll know quite a few already from your times tables. As an example 5^{2} means 5 x 5 which everyone knows is 25.
See how much you remember from your lessons by playing the following quiz on square numbers. Read each question carefully and take your time. And don't forget the helpful comments after each question. They can help to clarify anything you are unsure of,














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

Multiply 3 by itself (3) and you get 9


1 x 1 = 1

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


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



3 x 3 is 9; 4 x 4 is 16

6 x 6 is 36; 5 x 5 is 25


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

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)
