Visualising and representing

problem
Favourite

Attractive Tablecloths

Age

14 to 16

Challenge level

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
problem
Favourite

Which List Is Which?

Age

14 to 16

Challenge level

Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?
problem
Favourite

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
Favourite

Puzzling Place Value

Age

14 to 16

Challenge level

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

Square Number Surprises

Age

14 to 16

Challenge level

There are unexpected discoveries to be made about square numbers...
problem

Tied Up

Age

14 to 16

Challenge level

How much of the field can the animals graze?
game

Jam

Age

14 to 16

Challenge level

A game for 2 players
game

Jam

Age

14 to 16

Challenge level

To avoid losing think of another very well known game where the patterns of play are similar.
problem

Just Rolling Round

Age

14 to 16

Challenge level

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
problem
Favourite

Ladder and Cube

Age

14 to 16

Challenge level

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?