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 long does it take to brush your teeth? Can you find the matching length of time?
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?
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?
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.
Chandrika was practising a long distance run. Can you work out how long the race was from the information?
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
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!
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.?
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
The pages of my calendar have got mixed up. Can you sort them out?
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?
Investigate the different distances of these car journeys and find out how long they take.
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?
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?
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.
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?
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?
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?
This article for teachers suggests ideas for activities built around 10 and 2010.
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
Measure problems for primary learners to work on with others.
Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.
Noticing the regular movement of the Sun and the stars has led to a desire to measure time. This article for teachers and learners looks at the history of humanity's need to measure things.
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?
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.
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...
Can you put these mixed-up times in order? You could arrange them in a circle.
What can you say about when these pictures were taken?
Measure problems at primary level that require careful consideration.
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.
These clocks have only one hand, but can you work out what time they are showing from the information?
Can you place these quantities in order from smallest to largest?
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.
Measure problems for inquiring primary learners.
Can you put these times on the clocks in order? You might like to arrange them in a circle.
Measure problems at primary level that may require resilience.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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?
These clocks have been reflected in a mirror. What times do they say?
How far have these students walked by the time the teacher's car reaches them after their bus broke down?
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.
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?
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.
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. . . .
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.
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?
Can you explain why every year must contain at least one Friday the thirteenth?