### 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...

Reading the digits from behind is the same as reflecting them in a vertical line of symmetry. This means $0$ and $8$ are read as themselves, and $2$ and $5$ are swapped. Note that the digits are read in the opposite order
Since the time is before $10:00$, the first hour digit must be a $0$. When read from behind, this means the last digit must also be a $0$. Since the time is between $3:00$ and $10:00$ and the second hour digit must be one that reads backwards as another digit, it must be either $5$ or $8$.
Since $08:80$ is not a valid time, the time must be $05:20$.