### 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

##### Stage: 3 Short Challenge Level:

One method for this question is to notice that the square of Thomas' age is at most $62$, so Thomas is at most $7$. The square of Thomas' 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 Thomas must be $7$.

This problem is taken from the UKMT Mathematical Challenges.