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What is the greatest number of squares you can make by overlapping three squares?

Two Dice

Find all the numbers that can be made by adding the dots on two dice.

Biscuit Decorations

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Repeating Patterns

Age 5 to 7
Challenge Level


equilateral and isosceles triangles

If you have some triangles like these can you make the repeating patterns below?

repeating patterns from the triangles


Try continuing the patterns. How did you know where to place the triangles?

What other repeating patterns can you make with these triangles?

You could use the interactivity below to try out your ideas, or you could print off these sheets of triangles on coloured paper.

Please send us some pictures of your creations.