Visualising and representing

problem
All in the mind

Age

11 to 14

Challenge level

Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
problem
Catrina's cards

Age

5 to 7

Challenge level

How would you find out how many football cards Catrina has collected?
problem
Part the polygons

Age

7 to 11

Challenge level

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
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
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
Writing digits

Age

5 to 7

Challenge level

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?
problem
The amazing splitting plant

Age

5 to 7

Challenge level

Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
problem
Biscuit decorations

Age

5 to 7

Challenge level

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
problem
Calendar capers

Age

11 to 14

Challenge level

Choose any three by three square of dates on a calendar page...
problem
Two squared

Age

7 to 11

Challenge level

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?