Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

Can you make five differently sized squares from the tangram pieces?

This activity investigates how you might make squares and pentominoes from Polydron.

Here are some ideas to try in the classroom for using counters to investigate number patterns.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

Can you make square numbers by adding two prime numbers together?

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?

Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.