Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
A tennis ball is served from directly above the baseline (assume the ball travels in a straight line). What is the minimum height that the ball can be hit at to ensure it lands in the service area?
This problem is taken from the UKMT Mathematical Challenges.