How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?
A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?
Is a score of 9 more likely than a score of 10 when you roll three dice?
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
Which of these games would you play to give yourself the best possible chance of winning a prize?
