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Can you design your own version of the Olympic rings, using interlocking squares instead of circles?

This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

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?

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Here is a chance to create some Celtic knots and explore the mathematics behind them.

Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.

It's easy to work out the areas of most squares that we meet, but what if they were tilted?