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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?

Measured Upside Down

Stage: 3 Short Challenge Level: Challenge Level:1
Last year Baby was $140 \; \text{cm}-97\; \text{cm}=43 \; \text{cm}$ tall.

This year Baby is $150\; \text{cm} - 84 \; \text{cm}=66 \; \text{cm}$ tall.

So Baby has grown $66\; \text{cm}-43\; \text{cm}=23\; \text{cm}$ in her first year .

This problem is taken from the UKMT Mathematical Challenges.