Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

Watch the Clock

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?

Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

Home Time

Stage: 2 Challenge Level:

Why do this problem?

This problem requires a systematic approach and a good method of recording. The second part of the problem challenges children to calculate using distance and time.

Key questions

How do you know you've got all the routes?

How will you record the routes?

Have you written the distances on the picture?

What is the calculation you need to do?

Knowing how long the journey took and the speed she travelled, how can you work out the total distance they went?

Using this and the second piece of information, how far is it between D and E?

Possible extension

Learners could make up a simple map of their own and ask a friend some questions relating to it.

Possible support

Having a copy (or copies) of the map will help children have a go at this problem.

Length/distance. Multiplication & division. Visualising. Route inspection problems. Speed. Time. Combinations. Working systematically. Addition & subtraction. Investigations.

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