There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

Which countries have the most naturally athletic populations?

Explore the relationship between resistance and temperature

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

Follow this recipe for sieving numbers and see what interesting patterns emerge.

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?