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Broad Topics > Measures and Mensuration > Time

Crossing the Atlantic

Stage: 3 Challenge Level:

Every day at noon a boat leaves Le Havre for New York while another boat leaves New York for Le Havre. The ocean crossing takes seven days. How many boats will each boat cross during their journey?

Time and Tide

Stage: 1, 2 and 3 Challenge Level:

What can you say about when these pictures were taken?

Buses

Stage: 3 Challenge Level:

A bus route has a total duration of 40 minutes. Every 10 minutes, two buses set out, one from each end. How many buses will one bus meet on its way from one end to the other end?

Digital Times

Stage: 3 Challenge Level:

Which segment on a digital clock is lit most each day? Which segment is lit least? Does it make any difference if it is set to 12 hours or 24 hours?

On Time?

Stage: 1, 2 and 3

This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.

An Unhappy End

Stage: 3 Challenge Level:

Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

What Is the Time?

Stage: 1 and 2 Challenge Level:

Can you put these times on the clocks in order? You might like to arrange them in a circle.

Friday 13th

Stage: 3 Challenge Level:

This month there is a Friday the thirteenth and this year there are three. Can you explain why every year must contain at least one Friday the thirteenth?

Walk and Ride

Stage: 2 and 3 Challenge Level:

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

Do You Measure Up?

Stage: 2 Challenge Level:

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.

Speedy Sidney

Stage: 3 Challenge Level:

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the. . . .

On What Day Did it Happen?

Stage: 1, 2 and 3

Read this article to find out the mathematical method for working out what day of the week each particular date fell on back as far as 1700.

Calendars

Stage: 1, 2 and 3

Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.

Take Your Dog for a Walk

Stage: 2 Challenge Level:

Use the interactivity to move Mr Pearson and his dog. Can you move him so that the graph shows a curve?

Decimal Time

Stage: 3 Challenge Level:

Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?

You Tell the Story

Stage: 2 Challenge Level:

Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.

Hands Together

Stage: 3 Challenge Level:

Sometime during every hour the minute hand lies directly above the hour hand. At what time between 4 and 5 o'clock does this happen?

Making Maths: Make a Pendulum

Stage: 2 and 3 Challenge Level:

Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?

The Hare and the Tortoise

Stage: 2 Challenge Level:

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?

Take the Right Angle

Stage: 2 Challenge Level:

How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.

John's Train Is on Time

Stage: 3 Challenge Level:

A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?

Home Time

Stage: 2 Challenge Level:

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.

Hello Again

Stage: 3 Challenge Level:

Anne completes a circuit around a circular track in 40 seconds. Brenda runs in the opposite direction and meets Anne every 15 seconds. How long does it take Brenda to run around the track?

How Many Times?

Stage: 2 Challenge Level:

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

Stage: 2 and 3

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.

A Child Is Full of ...

Stage: 2 Short Challenge Level:

My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?

Working with Dinosaurs

Stage: 2

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

How Long Does it Take?

Stage: 2 Challenge Level:

In this matching game, you have to decide how long different events take.

Bike Ride

Stage: 2 Challenge Level:

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?

Rule of Three

Stage: 3 Challenge Level:

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

Calendar Sorting

Stage: 2 Challenge Level:

The pages of my calendar have got mixed up. Can you sort them out?

Stage: 3 Challenge Level:

Great Granddad is very proud of his telegram from the Queen congratulating him on his hundredth birthday and he has friends who are even older than he is... When was he born?

Now and Then

Stage: 2 Challenge Level:

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.

The New Millennium: When Did it Begin?

Stage: 2

Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.

In Order

Stage: 2 Challenge Level:

Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.

The Time Is ...

Stage: 2 Challenge Level:

Can you put these mixed-up times in order? You could arrange them in a circle.

Clocking Off

Stage: 2, 3 and 4 Challenge Level:

I found these clocks in the Arts Centre at the University of Warwick intriguing - do they really need four clocks and what times would be ambiguous with only two or three of them?

Stage: 3 Challenge Level:

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

Order, Order!

Stage: 1 and 2 Challenge Level:

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

Sweeping Hands

Stage: 2 Challenge Level:

Use your knowledge of angles to work out how many degrees the hour and minute hands of a clock travel through in different amounts of time.

N Is a Number

Stage: 3 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?

Tom Learns to Cook

Stage: 2 and 3 Challenge Level:

If Tom wants to learn to cook his favourite supper, he needs to make a schedule so that everything is ready at the same time.

All in a Jumble

Stage: 3 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.

Millennium Man

Stage: 2 Challenge Level:

Liitle Millennium Man was born on Saturday 1st January 2000 and he will retire on the first Saturday 1st January that occurs after his 60th birthday. How old will he be when he retires?

Timing

Stage: 2 Short Challenge Level:

These two challenges will test your time-keeping!

Wonky Watches

Stage: 2 Challenge Level:

Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

Two Clocks

Stage: 2 Challenge Level:

These clocks have only one hand, but can you work out what time they are showing from the information?

Palindromic Date

Stage: 2 Challenge Level:

What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?

Train Timetable

Stage: 2 Challenge Level:

Use the information to work out the timetable for the three trains travelling between City station and Farmland station.

Watch the Clock

Stage: 2 Challenge Level:

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?