Visualising and representing

problem
Cube bricks and daisy chains

Age

5 to 7

Challenge level

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.
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?
problem
Triangles in the middle

Age

11 to 18

Challenge level

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
problem
Rational request

Age

16 to 18

Challenge level

Can you make a curve to match my friend's requirements?
problem
Fraction match

Age

5 to 11

Challenge level

A task which depends on members of the group noticing the needs of others and responding.
problem
Table patterns go wild!

Age

7 to 11

Challenge level

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
problem
Partly painted cube

Age

14 to 16

Challenge level

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
problem
Even and odd

Age

5 to 7

Challenge level

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?