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?
These two challenges will test your time-keeping!
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 find out!
Can you put these mixed-up times in order? You could arrange them in a circle.
Chandrika was practising a long distance run. Can you work out how long the race was from the information?
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 took.
Investigate the different distances of these car journeys and find out how long they take.
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 time.
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?
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.
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?
These clocks have only one hand, but can you work out what time they are showing from the information?
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.?
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
Can you put these times on the clocks in order? You might like to arrange them in a circle.
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.
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 say?
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.
How many of this company's coaches travelling in the opposite direction does the 10 am coach from Alphaton pass before reaching Betaville?
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
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 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.
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
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.
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?
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 times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
Measure problems at primary level that may require determination.
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.
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 at primary level that require careful consideration.
Measure problems for inquiring primary learners.
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...
Measure problems for primary learners to work on with others.
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?
What can you say about when these pictures were taken?
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 timer?
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.