Being collaborative

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

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?

Can you deduce which Olympic athletics events are represented by the graphs?

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

What could the half time scores have been in these Olympic hockey matches?

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

Where should runners start the 200m race so that they have all run the same distance by the finish?

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?