Length/distance

problem

Pentagonal

Age

14 to 16

Challenge level

1 out of 3

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

Sugary Diversion

Age

11 to 14

Challenge level

1 out of 3

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

Flight Path

Age

16 to 18

Challenge level

2 out of 3

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

On the Road

Age

14 to 16

Challenge level

3 out of 3

Four vehicles travelled on a road. What can you deduce from the times that they met?
problem

Hand Span

Age

5 to 7

Challenge level

1 out of 3

Use your hand span to measure the distance around a tree trunk. If you ask a friend to try the same thing, how do the answers compare?
problem

Take One Metre

Age

5 to 7

Challenge level

1 out of 3

You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?
problem

Measure Our Heights

Age

5 to 7

Challenge level

1 out of 3

How could you measure the height of your friend without too much difficulty?
problem

Cutting It Out

Age

5 to 11

Challenge level

1 out of 3

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

Drawing

Age

5 to 11

Challenge level

1 out of 3

This activity encourages you to measure the length of lines accurately.
game

Do You Measure Up?

Age

7 to 11

Challenge level

1 out of 3

A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.