Visualising and representing

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
Table patterns go wild!

Age

7 to 11

Challenge level

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
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
A4 fraction addition

Age

7 to 11

Challenge level

Try adding fractions using A4 paper.
problem
Extending fraction bars

Age

7 to 11

Challenge level

Can you compare these bars with each other and express their lengths as fractions of the black bar?
problem
More fraction bars

Age

7 to 11

Challenge level

What fraction of the black bar are the other bars? Have a go at this challenging task!
problem
Different deductions

Age

7 to 11

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
St Ives

Age

7 to 11

Challenge level

How many people were going to St Ives?