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There are **56** NRICH Mathematical resources connected to **Length/distance**, you may find related items under Measuring and calculating with units.

Problem
Primary curriculum
Secondary curriculum
### Can You Do it Too?

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Olympic Measures

These Olympic quantities have been jumbled up! Can you put them back together again?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Now and Then

Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Olympic Starters

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### How Tall?

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Place Your Orders

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Order, Order!

Can you place these quantities in order from smallest to largest?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Speed-time Problems at the Olympics

Have you ever wondered what it would be like to race against Usain Bolt?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Shaping It

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Question of Scale

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### All in a Jumble

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

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sizing Them Up

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

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Up and Across

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.

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### How Far Does it Move?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Take Your Dog for a Walk

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Rolling Around

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Watch the Clock

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Age 7 to 11

Challenge Level

Article
Primary curriculum
Secondary curriculum
### 2010: A Year of Investigations

This article for teachers suggests ideas for activities built around 10 and 2010.

Age 5 to 14

Problem
Primary curriculum
Secondary curriculum
### Cutting it Out

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

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Four on the Road

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Uniform Units

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Where Am I?

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?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Lengthy Journeys

Investigate the different distances of these car journeys and find out how long they take.

Age 7 to 11

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Working with Dinosaurs

This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement.

Age 7 to 11

Problem
Primary curriculum
Secondary curriculum
### Swimmers

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Triangle Relations

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

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Scale for the Solar System

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Flight Path

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Chippy's Journeys

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

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Pentagonal

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?

Age 14 to 16

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Measure for Measure

This article, written for students, looks at how some measuring units and devices were developed.

Age 5 to 11

Article
Primary curriculum
Secondary curriculum
### Eclipses of the Sun

Mathematics has allowed us now to measure lots of things about eclipses and so calculate exactly when they will happen, where they can be seen from, and what they will look like.

Age 7 to 14

Article
Primary curriculum
Secondary curriculum
### Paradoxes

A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself.

Age 7 to 14

Problem
Primary curriculum
Secondary curriculum
### Timber!

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

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### N Is a Number

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?

Age 11 to 14

Challenge Level

Article
Primary curriculum
Secondary curriculum
### The Dodecahedron Explained

What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?

Age 16 to 18

Game
Primary curriculum
Secondary curriculum
### Do You Measure Up?

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.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Home Time

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.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Hare and the Tortoise

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?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Flying Holiday

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Watching the Wheels Go 'round and 'round

Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Bike Ride

Nirmala and Riki live 9 kilometres away from the nearest market. They both want to arrive at the market at exactly noon. What time should each of them start riding their bikes?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Practice Run

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

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Rod and a Pole

A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Rope Mat

How many centimetres of rope will I need to make another mat just like the one I have here?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Walk and Ride

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

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### On the Road

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Hand Span

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?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

Age 7 to 11

Challenge Level