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Great Squares

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

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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?

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Walk and Ride

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

Watching the Wheels Go 'round and 'round

Stage: 2 Challenge Level: Challenge Level:1

Why do this problem?

This short problem requires children to be able to convert centimetres to metres, to caculate using units of distance and it will consolidate their understanding of circle circumferences.

Key questions

What does circumference mean?
Show me where the circumference of this circle is.
How many centimetres are there in a metre ... in two metres?
How many metres are there in a kilometre?
Which wheel will turn the most during the journey?

Possible extension

Learners could tackle the Bike Ride problem which also requires them to use time as well as distance.

Possible support

Some children may find it helpful to find a toy with wheels or a wheel from a construction set, then to mark a point on the wheel and watch it turning.