Visualising and representing

problem

Fred the Class Robot

Age

7 to 11

Challenge level

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

3 out of 3

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

3 out of 3

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

3 out of 3

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

3 out of 3

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?
problem

Redblue

Age

7 to 11

Challenge level

3 out of 3

Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?