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Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

We start with one yellow cube and build around it to make a 3×3×3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

How many arm-wrestles will there be in the royal arm wrestling championship?