### 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...

# Petrol Station

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

The volume of petrol that Andrea put in, as a fraction of the volume of the tank is the difference between $\frac{2}{3}$ and $\frac{1}{4}$, which is $\frac{5}{12}$, so she put in $\frac{5}{12}$ of $44$ litres and $\frac{5}{12} \times 44 = \frac{5\times 44}{12}=\frac{5\times11}{3} = \frac{55}{3}=18\frac{1}{3}$.

This problem is taken from the UKMT Mathematical Challenges.