Being resourceful

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

When two closely matched teams play each other, what is the most likely result?

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

Simple additions can lead to intriguing results...

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

How can we make sense of national and global statistics involving very large numbers?

Which armies can be arranged in hollow square fighting formations?

Surprising numerical patterns can be explained using algebra and diagrams...

Match the cumulative frequency curves with their corresponding box plots.