Length/distance

problem

Home Time

Age

7 to 11

Challenge level

2 out of 3

Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.
problem

Timber!

Age

7 to 11

Challenge level

2 out of 3

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

Practice Run

Age

7 to 11

Challenge level

3 out of 3

Chandrika was practising a long distance run. Can you work out how long the race was from the information?
problem

The Hare and the Tortoise

Age

7 to 11

Challenge level

3 out of 3

In this version of the story of the hare and the tortoise, the race is 10 kilometres long. Can you work out how long the hare sleeps for using the information given?
problem

Walk and Ride

Age

7 to 14

Challenge level

3 out of 3

How far have these students walked by the time the teacher's car reaches them after their bus broke down?
problem

Defined Distances

Age

11 to 14

Challenge level

2 out of 3

Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?
problem

N Is a Number

Age

11 to 14

Challenge level

3 out of 3

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?
problem

Where Am I?

Age

11 to 16

Challenge level

1 out of 3

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

A Scale for the Solar System

Age

14 to 16

Challenge level

1 out of 3

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

Uniform Units

Age

14 to 16

Challenge level

2 out of 3

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