Being resourceful

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Can you find the hidden factors which multiply together to produce each quadratic expression?

Where should runners start the 200m race so that they have all run the same distance by the finish?

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?