Exploring and noticing

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Can you place the blocks so that you see the reflection in the picture?

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.

Can you select the missing digit(s) to find the largest multiple?

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.

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?