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10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.

What is the same and what is different about these circle questions? What connections can you make?

Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

How many triangles can you make on the 3 by 3 pegboard?

Can you find ways of joining cubes together so that 28 faces are visible?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?

Here are shadows of some 3D shapes. What shapes could have made them?

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?