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 work out the fraction of the original triangle that is covered by the inner triangle?

Do you have enough information to work out the area of the shaded quadrilateral?

Can you work out the fraction of the original triangle that is covered by the green triangle?

Five equations... five unknowns... can you solve the system?

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?

Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...

What do you get when you raise a quadratic to the power of a quadratic?