### 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...

### Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

The ten digits of a digital clock are shown below.

I have a $12$ hour digital clock which shows the time, using four digits, on a piece of glass, so it can be seen from both sides. At what time between $3$ o'clock and $10$ o'clock does the time look the same from both sides?

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

This problem is taken from the UKMT Mathematical Challenges.