### 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...

# Jenny's Logic

##### Stage: 3 Short Challenge Level:
Jenny must know for sure that Tom's cards are either both even or both odd. The only way she can be sure of this is if she's selected the three even cards leaving Tom only odd numbered cards. Therefore Jenny has cards $2$, $4$ and $6$ and the sum of her cards is $12$.

This problem is taken from the UKMT Mathematical Challenges.