2D shapes and their properties

problem
Curve spotting

Age

5 to 7

Challenge level

Can you spot circles, spirals and other types of curves in these photos?
problem
Opening patterns

Age

5 to 7

Challenge level

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.
problem
Round a hexagon

Age

7 to 11

Challenge level

This problem shows that the external angles of an irregular hexagon add to a circle.
problem
What's happening?

Age

5 to 7

Challenge level

Shapes are added to other shapes. Can you see what is happening? What is the rule?
problem
National flags

Age

7 to 11

Challenge level

This problem explores the shapes and symmetries in some national flags.
problem
Olympic rings

Age

5 to 7

Challenge level

Can you design your own version of the Olympic rings, using interlocking squares instead of circles?
problem
Poly plug rectangles

Age

5 to 11

Challenge level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
problem
A rational search

Age

16 to 18

Challenge level

Investigate constructible images which contain rational areas.
problem
Sports equipment

Age

7 to 11

Challenge level

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
problem
Track design

Age

14 to 16

Challenge level

Where should runners start the 200m race so that they have all run the same distance by the finish?