Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?
Which of these pocket money systems would you rather have?
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
There are lots of ideas to explore in these sequences of ordered fractions.
Kyle and his teacher disagree about his test score - who is right?
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?
Can you find the link between these beautiful circle patterns and Farey Sequences?
These secondary problems have not yet been solved. Can you be the first?