Length/distance

problem
A scale for the solar system

Age

14 to 16

Challenge level

The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times?
problem
Flight path

Age

16 to 18

Challenge level

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.
problem
Sizing them up

Age

5 to 7

Challenge level

Can you put these shapes in order of size? Start with the smallest.
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
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
Little man

Age

5 to 7

Challenge level

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
problem
Chippy's journeys

Age

7 to 11

Challenge level

Chippy the Robot goes on journeys. How far and in what direction must he travel to get back to his base?
problem
Pentagonal

Age

14 to 16

Challenge level

Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon?
problem
Timber!

Age

7 to 11

Challenge level

How can the school caretaker be sure that the tree would miss the school buildings if it fell?
problem
N is a number

Age

11 to 14

Challenge level

N people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road?