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Broad Topics > Measures and Mensuration > Time

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.

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?

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?

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.

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.

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?

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.?

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?

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.

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?

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?

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.

Clock Hands

Stage: 2 Challenge Level:

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

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.

Order, Order!

Stage: 1 and 2 Challenge Level:

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

5 on the Clock

Stage: 2 Challenge Level:

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

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?

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.

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.

Clocks

Stage: 2 Challenge Level:

These clocks have been reflected in a mirror. What times do they say?

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?

Being Resilient - Primary Measures

Stage: 1 and 2 Challenge Level:

Measure problems at primary level that may require resilience.

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?

Being Resourceful - Primary Measures

Stage: 1 and 2 Challenge Level:

Measure problems at primary level that require careful consideration.

Being Collaborative - Primary Measures

Stage: 1 and 2 Challenge Level:

Measure problems for primary learners to work on with others.

Being Curious - Primary Measures

Stage: 1 and 2 Challenge Level:

Measure problems for inquiring primary learners.

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?

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...

The Time Is ...

Stage: 2 Challenge Level:

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

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?

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.

Time and Tide

Stage: 1, 2 and 3 Challenge Level:

What can you say about when these pictures were taken?

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?

Slow Coach

Stage: 2 Challenge Level:

How many of this company's coaches travelling in the opposite direction does the 10 am coach from Alphaton pass before reaching Betaville?

How Long Does it Take?

Stage: 2 Challenge Level:

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

Right Time

Stage: 3 Challenge Level:

At the time of writing the hour and minute hands of my clock are at right angles. How long will it be before they are at right angles again?

Timing

Stage: 2 Short Challenge Level:

These two challenges will test your time-keeping!

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?

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.

Eclipses of the Sun

Stage: 2 and 3

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.

Ten Green Bottles

Stage: 2 Challenge Level:

Do you know the rhyme about ten green bottles hanging on a wall? If the first bottle fell at ten past five and the others fell down at 5 minute intervals, what time would the last bottle fall down?

Working with Dinosaurs

Stage: 2

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

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?

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?

Times

Stage: 2 Challenge Level:

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

Practice Run

Stage: 2 Challenge Level:

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

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?

Order the Changes

Stage: 2 Challenge Level:

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

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?