Length/distance

problem
Cutting it out

Age

5 to 11

Challenge level

I cut this square into two different shapes. What can you say about the relationship between them?
problem
Four on the road

Age

14 to 16

Challenge level

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
problem
Uniform units

Age

14 to 16

Challenge level

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?
problem
A question of scale

Age

14 to 16

Challenge level

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
problem
Sugary diversion

Age

11 to 14

Challenge level

Weekly Problem 48 - 2008
An ant is crawling in a straight line when he bumps into a one centimetre cube of sugar.If he climbs over it before before continuing on his intended route, how much does the detour add to the length of his journey?
problem
Where am I?

Age

11 to 16

Challenge level

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?
problem
Lengthy journeys

Age

7 to 11

Challenge level

Investigate the different distances of these car journeys and find out how long they take.
problem
All in a jumble

Age

11 to 14

Challenge level

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
problem
Swimmers

Age

14 to 16

Challenge level

Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?
problem
Triangle relations

Age

7 to 11

Challenge level

What do these two triangles have in common? How are they related?