Visualising and representing

problem

Cheese Cutting

Age

16 to 18

Challenge level

3 out of 3

In this problem we see how many pieces we can cut a cube of cheese into using a limited number of slices. How many pieces will you be able to make?
problem

One Out One Under

Age

14 to 16

Challenge level

3 out of 3

Imagine a stack of numbered cards with one on top. Discard the top, put the next card to the bottom and repeat continuously. Can you predict the last card?
game

Dragons and Swans

Age

5 to 7

Challenge level

1 out of 3

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

How Many Pieces?

Age

5 to 7

Challenge level

1 out of 3

How many loops of string have been used to make these patterns?
problem

Teddy Bear Line-Up

Age

5 to 7

Challenge level

2 out of 3

What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?
problem

Change Around

Age

5 to 7

Challenge level

2 out of 3

Move just three of the circles so that the triangle faces in the opposite direction.
problem

Six to Four

Age

5 to 7

Challenge level

2 out of 3

Move four sticks so there are exactly four triangles.
problem

Routes 1 and 5

Age

5 to 7

Challenge level

2 out of 3

Find your way through the grid starting at 2 and following these operations. What number do you end on?
problem

Tessellating Capitals

Age

5 to 7

Challenge level

2 out of 3

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
problem

Building With Cubes

Age

5 to 7

Challenge level

2 out of 3

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?