Can you explain why every year must contain at least one Friday the thirteenth?
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?
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
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?
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
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?
This article for teachers suggests ideas for activities built around 10 and 2010.
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?
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?
Chandrika was practising a long distance run. Can you work out how long the race was from the information?
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?
Investigate the different distances of these car journeys and find out how long they take.
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?
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?
Measure problems at primary level that may require resilience.
Measure problems at primary level that require careful consideration.
Measure problems for inquiring primary learners.
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.
Measure problems for primary learners to work on with others.
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.
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?
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.
Can you put these mixed-up times in order? You could arrange them in a circle.
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 rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
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?
Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.
In this matching game, you have to decide how long different events take.
The pages of my calendar have got mixed up. Can you sort them out?
Can you place these quantities in order from smallest to largest?
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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.?
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
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?
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!
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?
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 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.
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.
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.
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?
What can you say about when these pictures were taken?
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.
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
Use the information to work out the timetable for the three trains travelling between City station and Farmland station.
Astronomy grew out of problems that the early civilisations had. They needed to solve problems relating to time and distance - both mathematical topics.