### 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.

# Back in Time

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

Beatrix has a $24$-hour digital clock on a glass table-top next to her desk. When she looked at the clock at $13:08$, she noticed that the reflected display also read $13:08$, as shown.

How many times in a $24$-hour period do the display and its reflection give the same time?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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