### 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...

# Better Spelling

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

After her second test her average mark is $\frac{6}{10}$, after her third test her average is $\frac{11}{15}$, after her fourth it is $\frac{16}{20}=\frac{4}{5}=80$% exactly and after the fifth it is $\frac{21}{25}=84$%.

So she needs to take four more tests to obtain an average mark of more than $80$%.

This problem is taken from the UKMT Mathematical Challenges.