Using the hcf and lcf of the numerators, can you deduce which of these fractions are square numbers?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
These pictures show some different activities that you may get up to during a day. What order would you do them in?
Farey sequences are lists of fractions in ascending order of magnitude. Can you prove that in every Farey sequence there is a special relationship between Farey neighbours?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
