### 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.

# Fibonacci Deduction

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

If we let the fifth number be $x$, then the sixth number is $6+x= 15$, so $x=9$.

The seventh number is the sum of the fifth and sixth numbers, $9+15=24$.

This problem is taken from the UKMT Mathematical Challenges.
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