Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?
Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
