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?
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?
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?
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.
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?
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...
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?
Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?
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.
How far have these students walked by the time the teacher's car reaches them after their bus broke down?
Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.
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.
How long does it take to brush your teeth? Can you find the matching length of time?
This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.
Use the interactivity to move Mr Pearson and his dog. Can you move him so that the graph shows a curve?
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?
What can you say about when these pictures were taken?
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
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.
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.?
Can you explain why every year must contain at least one Friday the thirteenth?
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
The pages of my calendar have got mixed up. Can you sort them out?
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.
Can you put these times on the clocks in order? You might like to arrange them in a circle.
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?
Measure problems for inquiring primary learners.
Measure problems for primary learners to work on with others.
Measure problems at primary level that require careful consideration.
Measure problems at primary level that may require resilience.
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?
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.
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.
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.
These clocks have been reflected in a mirror. What times do they say?
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. . . .
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?
Use the information to work out the timetable for the three trains travelling between City station and Farmland station.
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?
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
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.
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?
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
How many of this company's coaches travelling in the opposite direction does the 10 am coach from Alphaton pass before reaching Betaville?
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?
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?
Astronomy grew out of problems that the early civilisations had. They needed to solve problems relating to time and distance - both mathematical topics.
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
Here's a chance to work with large numbers...
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.