### 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...

# Tenth Power

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

Which of the following three statements are true?

1. $3^{10}$ is even,
2. $3^{10}$ is odd,
3. $3^{10}$ is a square number.

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.