Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
Find out about the lottery that is played in a far-away land. What is the chance of winning?
A practical experiment provides data. Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
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?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
