Visualising and representing

problem

Sea Defences

Age

7 to 14

Challenge level

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?
problem

Tricky Triangles

Age

5 to 7

Challenge level

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
problem

Cheese Cutting

Age

16 to 18

Challenge level

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

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

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

How Many Pieces?

Age

5 to 7

Challenge level

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

Teddy Bear Line-Up

Age

5 to 7

Challenge level

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

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

Move four sticks so there are exactly four triangles.
problem

Routes 1 and 5

Age

5 to 7

Challenge level

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