Being resilient

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

If you'd like to explore the game freely, without any nudges from us, choose this version.

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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.

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?