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?
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?
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?
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?
Use the clocks to investigate French decimal time in this problem.
Can you see how this time system worked?
Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.
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
If it takes four men one day to build a wall, how long does it take
60,000 men to build a similar wall?
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?
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?
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?
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?
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 man's need to measure things.
This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.
What can you say about when these pictures were taken?
How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
Can you rank these quantities in order? You may need to find out
extra information or perform some experiments to justify your
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.
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. . . .
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.
Can you place these quantities in order from smallest to largest?
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
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 sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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.
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.
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 pages of my calendar have got mixed up. Can you sort them out?
This article for teachers suggests ideas for activities built around 10 and 2010.
Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.
In this matching game, you have to decide how long different events take.
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 times on the clocks in order? You might like to arrange them in a circle.
Investigate the different distances of these car journeys and find
out how long they take.
Chandrika was practising a long distance run. Can you work out how
long the race was from the information?
Measure problems at primary level that may require determination.
Can you put these mixed-up times in order? You could arrange them in a circle.
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
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.
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
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
Astronomy grew out of problems that the early civilisations had. They needed to solve problems relating to time and distance - both mathematical topics.
Use the information to work out the timetable for the three trains
travelling between City station and Farmland station.
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.?
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?