### 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...

# The Square of My Age

##### Age 11 to 14 Short Challenge Level:

Answer: Thom is $7$ and Lauren is $13$

The square of Thom's age is at most $62$, so Thom is at most $7$. The square of Thom's age is therefore at most $49$, so Lauren is at least $13$.

The square of Lauren's age is at most $176$, so Lauren is at most $13$. Therefore Lauren must be $13$, and Thom must be $7$.

And \$114 = 2\times57 = 3\times38 = 6\times19

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.