Two ladders are propped up against facing walls. At what height do the ladders cross?
A circle of radius r touches two sides of a right angled triangle, sides x and y, and has its centre on the hypotenuse. Can you prove the formula linking x, y and r?
Can you work out the fraction of the original triangle that is covered by the inner triangle?
What's the most efficient proportion for a 1 litre tin of paint?
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
