How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Can you work out how to win this game of Nim? Does it matter if you go first or second?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

This task combines spatial awareness with addition and multiplication.

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.