Reasoning, convincing and proving

There are 514 NRICH Mathematical resources connected to Reasoning, convincing and proving

problem

Favourite

Speed-time problems at the olympics

Age

14 to 16

Challenge level

Have you ever wondered what it would be like to race against Usain Bolt?

problem

Favourite

Generating triples

Age

14 to 16

Challenge level

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

problem

Favourite

Order, order!

Age

5 to 11

Challenge level

Can you place these quantities in order from smallest to largest?

problem

Favourite

Discuss and choose

Age

5 to 11

Challenge level

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.