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
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Can you put these times on the clocks in order? You might like to arrange them in a circle.
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?
Can you put these mixed-up times in order? You could arrange them in a circle.
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.
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?
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?
This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.
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?
This article for teachers suggests ways in which dinosaurs can be a
great context for discussing measurement.
These clocks have only one hand, but can you work out what time
they are showing from the information?
These two challenges will test your time-keeping!
These clocks have been reflected in a mirror. What times do they
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
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 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 create a story that would describe the movement of the man
shown on these graphs? Use the interactivity to try out our ideas.
Chandrika was practising a long distance run. Can you work out how
long the race was from the information?
In this matching game, you have to decide how long different events take.
Measure problems for primary learners to work on with others.
Measure problems at primary level that may require determination.
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?
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...
Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.
Measure problems for inquiring primary learners.
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.
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?
How many of this company's coaches travelling in the opposite
direction does the 10 am coach from Alphaton pass before reaching
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?
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
What is the date in February 2002 where the 8 digits are
palindromic if the date is written in the British way?
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 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
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?
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
My cousin was 24 years old on Friday April 5th in 1974. On what day
of the week was she born?
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?
Use the information to work out the timetable for the three trains
travelling between City station and Farmland station.
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.
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?
Measure problems at primary level that require careful consideration.
The pages of my calendar have got mixed up. Can you sort them out?
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.?
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?
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