Visualising and representing

problem
Squares in rectangles

Age

11 to 14

Challenge level

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?
problem
Tessellating hexagons

Age

11 to 14

Challenge level

Which hexagons tessellate?
problem
Concrete wheel

Age

11 to 14

Challenge level

A huge wheel is rolling past your window. What do you see?
problem
Up and across

Age

11 to 14

Challenge level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
problem
Speeding up, slowing down

Age

11 to 14

Challenge level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
problem
How far does it move?

Age

11 to 14

Challenge level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
problem
Mixing more paints

Age

14 to 16

Challenge level

Can you find an efficent way to mix paints in any ratio?
problem
Mixing paints

Age

11 to 14

Challenge level

Can you work out how to produce different shades of pink paint?
problem
Number balance

Age

5 to 7

Challenge level

Can you hang weights in the right place to make the the number balance balanced?
problem
Same length trains

Age

5 to 7

Challenge level

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?