Search

problem

Uniformly unstable

16 to 18

Invent shapes with different numbers of stable and unstable equilibrium points

problem

Ante up

16 to 18

Use cunning to work out a strategy to win this game.

problem

The ultra particle

16 to 18

Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991

problem

Favourite

How old am I?

14 to 16

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

problem

Distribution differences

14 to 16

How could you compare different situations where something random happens? What sort of things might be the same? What might be different?

problem

Impossible square?

16 to 18

Can you make a square from these triangles?

problem

Retiring to paradise

11 to 14

When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?

$\Little little g$

problem

Little little g

16 to 18

See how little g and your weight varies around the world. Did this variation help Bob Beamon to long-jumping succes in 1968?

problem

Square pair circles

16 to 18

Investigate the number of points with integer coordinates on circles with centres at the origin for which the square of the radius is a power of 5.

problem

Inverting rational functions

16 to 18

Consider these questions concerning inverting rational functions

Or search by topic

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Search

Uniformly unstable

Ante up

The ultra particle

How old am I?

Distribution differences

Impossible square?

Retiring to paradise

Little little g

Square pair circles

Inverting rational functions