Live Problems - Stage 3 & 4

Each time you visit the NRICH site there will be some activities which are 'live'. That means we are inviting you to send us your solutions and we will publish a selection of them, along with your name and school. If you'd like to read more about what we're looking for, read this short article.

Number Lines in Disguiselive

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Same Lengthlive

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Shopping Basketlive

Stage: 3 and 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Impossible Picture?live

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Under what circumstances can you rearrange a big square to make three smaller squares?

Ifflive

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Stage 3 and 4 Toughnutslive

Stage: 3 Challenge Level: Challenge Level:1

These Stage 3 and 4 problems have not yet been solved. Can you be the first?