You may also like

problem icon

Path to the Stars

Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?

problem icon

Dining Ducks

Use the information about the ducks on a particular farm to find out which of the statements about them must be true.

problem icon

An Introduction to Magic Squares

Find out about Magic Squares in this article written for students. Why are they magic?!

Three Neighbours

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

Take three numbers that are 'next door neighbours' when you count. These are called consecutive numbers.

Add them together.

What do you notice?

Take another three consecutive numbers and add them together.

What do you notice?

Can you prove that this is always true by looking carefully at one of your examples?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Copyright © 1997 - 2017. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.