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?
This article for teachers suggests ideas for activities built around 10 and 2010.
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?
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?
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.
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.
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.
Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
vertical and horizontal movement at each stage.
Chippy the Robot goes on journeys. How far and in what direction
must he travel to get back to his base?
These pictures were made by starting with a square, finding the
half-way point on each side and joining those points up. You could
investigate your own starting shape.
Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?
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.
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?
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.
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.
Chandrika was practising a long distance run. Can you work out how
long the race was from the information?
This article, written for students, looks at how some measuring units and devices were developed.
How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
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 this information to work out whether the front or back wheel of
this bicycle gets more wear and tear.
A lady has a steel rod and a wooden pole and she knows the length
of each. How can she measure out an 8 unit piece of pole?
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
Investigate the different distances of these car journeys and find
out how long they take.
How many centimetres of rope will I need to make another mat just
like the one I have here?
This practical activity involves measuring length/distance.
Investigate how this pattern of squares continues. You could
measure lengths, areas and angles.
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
These Olympic quantities have been jumbled up! Can you put them back together again?
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.
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.
From the information you are asked to work out where the picture
was taken. Is there too much information? How accurate can your
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
What do these two triangles have in common? How are they related?
I cut this square into two different shapes. What can you say about
the relationship between them?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?