Visualising and representing

problem
Centre square

Age

14 to 16

Challenge level

What does Pythagoras' Theorem tell you about the radius of these circles?
problem
Facial sums

Age

14 to 16

Challenge level

Can you make the numbers around each face of this solid add up to the same total?
problem
Speedo

Age

16 to 18

Challenge level

Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.
problem
Calculus analogies

Age

16 to 18

Challenge level

Consider these analogies for helping to understand key concepts in calculus.
problem
More pebbles

Age

7 to 11

Challenge level

Have a go at this 3D extension to the Pebbles problem.
problem
Cube bricks and daisy chains

Age

5 to 7

Challenge level

Daisy and Akram have made some number patterns. Can you find out which pattern is longer?
problem
Quick sum

Age

16 to 18

Challenge level

Is this surd sum exactly 3?
problem
Charlie's delightful machine

Age

11 to 16

Challenge level

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
problem
Painting by functions

Age

16 to 18

Challenge level

Use functions to create minimalist versions of works of art.
problem
Painting by numbers

Age

16 to 18

Challenge level

How many different colours of paint would be needed to paint these pictures by numbers?