Drawing the right diagram can help you to prove a result about the angles in a line of squares.

Can you find the missing constants from these not-quite-so-obvious definite integrals?

Can you find a polynomial function whose first derivative is equal to the function?

I'd be very surprised if I had three children all with the same birthday, but I read in the paper that it happened to one family...

Four jewellers share their stock. Can you work out the relative values of their gems?

What fractions can you find between the square roots of 65 and 67?

Can you prove our inequality holds for all values of x and y between 0 and 1?

A lune is the area left when part of a circle is cut off by another circle. Can you work out the area?

What graphs can you make by transforming sine, cosine and tangent graphs?

Here are some more triangle equations. Which are always true?

Can you find equations for cubic curves that have specific features?