Visualising and representing

problem
Puzzling place value

Age

14 to 16

Challenge level

Can you explain what is going on in these puzzling number tricks?
problem
Display boards

Age

7 to 11

Challenge level

Design an arrangement of display boards in the school hall which fits the requirements of different people.
problem
11x11 square

Age

11 to 16

Challenge level

Here's a neat trick you can do with an 11 by 11 square...
problem
Reversals

Age

11 to 14

Challenge level

Where should you start, if you want to finish back where you started?
problem
Quadratic patterns

Age

14 to 16

Challenge level

Surprising numerical patterns can be explained using algebra and diagrams...
problem
Pythagoras perimeters

Age

14 to 16

Challenge level

If you know the perimeter of a right angled triangle, what can you say about the area?
problem
Hollow squares

Age

14 to 16

Challenge level

Which armies can be arranged in hollow square fighting formations?
problem
Impossibilities

Age

11 to 14

Challenge level

Just because a problem is impossible doesn't mean it's difficult...
problem
Garden shed

Age

11 to 14

Challenge level

Can you minimise the amount of wood needed to build the roof of my garden shed?
problem
Perimeter challenge

Age

11 to 14

Challenge level

Can you deduce the perimeters of the shapes from the information given?