### 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?

# Watching the Wheels Go 'round and 'round

##### Stage: 2 Challenge Level:

The front wheel on the penny-farthing bicycle has a circumference of 200 centimetres.

If you were describing the circumference in metres, what would it be?
How many times would the wheel turn if the bicycle travels one kilometre?

The back wheel on the cycle has a 50 centimetres circumference.

If you were describing this circumference in metres, what would it be?
How many times would this wheel turn if the bicycle travels one kilometre?
Would the large or the small tyre get more wear and tear on a long journey?