This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.
These clocks have been reflected in a mirror. What times do they
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
These two challenges will test your time-keeping!
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?
These clocks have only one hand, but can you work out what time
they are showing from the information?
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?
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?
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.
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When
did July 1st fall on a Monday again?
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?
How many of this company's coaches travelling in the opposite
direction does the 10 am coach from Alphaton pass before reaching
This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.
Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.
Use the information to work out the timetable for the three trains
travelling between City station and Farmland station.
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?
Astronomy grew out of problems that the early civilisations had. They needed to solve problems relating to time and distance - both mathematical topics.
Can you put these times on the clocks in order? You might like to arrange them in a circle.
This article for teachers suggests ideas for activities built around 10 and 2010.
Can you place these quantities in order from smallest to largest?
This article for teachers suggests ways in which dinosaurs can be a
great context for discussing measurement.
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 rank these quantities in order? You may need to find out
extra information or perform some experiments to justify your
Use the clocks to investigate French decimal time in this problem.
Can you see how this time system worked?
What can you say about when these pictures were taken?
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?
Measure problems at primary level that require careful consideration.
Measure problems for primary learners to work on with others.
Measure problems for inquiring primary learners.
Measure problems at primary level that may require determination.
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?
Chandrika was practising a long distance run. Can you work out how
long the race was from the information?
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...
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 rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
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 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.
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
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
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. . . .
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.
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
Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.
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?
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.
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?
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.?