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?
Use the clocks to investigate French decimal time in this problem.
Can you see how this time system worked?
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?
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?
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?
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?
Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.
What can you say about when these pictures were taken?
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
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?
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.
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?
Chandrika was practising a long distance run. Can you work out how
long the race was from the information?
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.
Measure problems at primary level that require careful consideration.
Measure problems at primary level that may require determination.
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?
Measure problems for primary learners to work on with others.
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?
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
Can you put these mixed-up times in order? You could arrange them in a circle.
Measure problems for inquiring primary learners.
If it takes four men one day to build a wall, how long does it take
60,000 men to build a similar wall?
This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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.
My cousin was 24 years old on Friday April 5th in 1974. On what day
of the week was she born?
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
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?
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. . . .
This article for teachers suggests ways in which dinosaurs can be a
great context for discussing measurement.
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.
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?
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
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?
Investigate the different distances of these car journeys and find
out how long they take.
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?
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.
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
Can you place these quantities in order from smallest to largest?
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.?
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.
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.