Visualising and representing

problem
In or out?

Age

14 to 16

Challenge level

Weekly Problem 52 - 2014
Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?
problem
Doubly consecutive sums

Age

11 to 14

Challenge level

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?
article
Children's thinking

Dr Sue Gifford outlines different ways in which you might capture young children's mathematical thinking and how to send samples to NRICH.
article
Young children's mathematical recording

In this article, Janine Davenall reflects on children's personalised mathematical recordings as part of a small research project based in her Reception class.
problem
Seesaw shenanigans

Age

3 to 7

Challenge level

A group of animals has made a seesaw in the woods. How can you make the seesaw balance?
problem
Always, sometimes or never? KS1

Age

5 to 7

Challenge level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
problem
Eightness of eight

Age

5 to 7

Challenge level

What do you see as you watch this video? Can you create a similar video for the number 12?
game

Dragons and swans

Age

5 to 7

Challenge level

A game for two players. You'll need some counters.
problem
Biscuit decorations

Age

5 to 7

Challenge level

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
problem
Writing digits

Age

5 to 7

Challenge level

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?