Visualising and representing

problem

Right or Left?

Age

7 to 11

Challenge level

Which of these dice are right-handed and which are left-handed?
problem

Fred the Class Robot

Age

7 to 11

Challenge level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
problem

Picture a Pyramid

Age

7 to 11

Challenge level

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
problem

Flip

Age

7 to 11

Challenge level

Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
problem

Triangular Faces

Age

7 to 11

Challenge level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
problem

Display Boards

Age

7 to 11

Challenge level

Design an arrangement of display boards in the school hall which fits the requirements of different people.
problem

Painting Possibilities

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.
game

Endless Noughts and Crosses

Age

7 to 11

Challenge level

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.
game

Counter Roundup

Age

7 to 11

Challenge level

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
problem

Tetrahedron Faces

Age

7 to 11

Challenge level

One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?