How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
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...
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. . . .
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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.
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?
Can you put these times on the clocks in order? You might like to arrange them in a circle.
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 interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
These clocks have been reflected in a mirror. What times do they
These clocks have only one hand, but can you work out what time
they are showing from the information?
Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.
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?
My cousin was 24 years old on Friday April 5th in 1974. On what day
of the week was she born?
This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.
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?
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
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?
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.
This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.
Can you place these quantities in order from smallest to largest?
Can you rank these quantities in order? You may need to find out
extra information or perform some experiments to justify your
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.
Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.
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.
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?
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
What can you say about when these pictures were taken?
Can you put these mixed-up times in order? You could arrange them in a circle.
Here's a chance to work with large numbers...
This article for teachers suggests ways in which dinosaurs can be a
great context for discussing measurement.
Astronomy grew out of problems that the early civilisations had. They needed to solve problems relating to time and distance - both mathematical topics.
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?
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?
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.
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.?
Use the information to work out the timetable for the three trains
travelling between City station and Farmland station.
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?
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 two challenges will test your time-keeping!
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When
did July 1st fall on a Monday again?
How many of this company's coaches travelling in the opposite
direction does the 10 am coach from Alphaton pass before reaching
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.
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 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.
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?