### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

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

### 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.

# The London Eye

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

Each spoke of the London eye is about $\frac{1}{20}$ mile long. As 1 mile is approximately 1600m this means that the radius of the giant wheel is roughly 80m. So the circumference is approximately 500m.

This problem is taken from the UKMT Mathematical Challenges.
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