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?
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?
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
These two challenges will test your time-keeping!
Can you put these mixed-up times in order? You could arrange them in a circle.
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
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
Chandrika was practising a long distance run. Can you work out how
long the race was from the information?
Investigate the different distances of these car journeys and find
out how long they take.
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?
Can you put these times on the clocks in order? You might like to arrange them in a circle.
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?
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.
These clocks have only one hand, but can you work out what time
they are showing from the information?
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?
Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.
These clocks have been reflected in a mirror. What times do they
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?
This article for teachers suggests ideas for activities built around 10 and 2010.
How many of this company's coaches travelling in the opposite
direction does the 10 am coach from Alphaton pass before reaching
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?
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?
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.?
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?
The pages of my calendar have got mixed up. Can you sort them out?
This article for teachers suggests ways in which dinosaurs can be a
great context for discussing measurement.
In this matching game, you have to decide how long different events take.
This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.
My cousin was 24 years old on Friday April 5th in 1974. On what day
of the week was she born?
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.
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?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
What is the date in February 2002 where the 8 digits are
palindromic if the date is written in the British way?
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.
Measure problems at primary level that require careful consideration.
Measure problems at primary level that may require determination.
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...
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?
Measure problems for primary learners to work on with others.
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.
Measure problems for inquiring primary learners.
What can you say about when these pictures were taken?
This article explains how Greenwich Mean Time was established and in fact, why Greenwich in London was chosen as the standard.
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Use the clocks to investigate French decimal time in this problem.
Can you see how this time system worked?
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?