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Calendar Capers

Choose any three by three square of dates on a calendar page...

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Golden Thoughts

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

Circumference and Diameter

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

The formula which gives in terms of is $C= \pi \times d$ , so the graph of C versus d is a straight line which passes through the origin.

This problem is taken from the UKMT Mathematical Challenges.
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