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Great Squares

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

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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?

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Rolling Around

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?

N Is a Number

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
This problem does not need algebra.

Is N odd or even?
How long do the walkers take to reach B?
How large can N be?