### 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...

# Palindromic Milometer

##### Age 11 to 14 ShortChallenge Level

Answer: 70$\frac13$

Maximum possible distance: 3$\times$75 = 225

Maximum possible milometer reading: 29792 + 225 = 30017

Largest palindromic number before 30017 will have first digit 3 $\therefore$ last digit 3
second and third digits 0 so fourth digit 0
Distance travelled: 30003 $-$ 29792 = 211     (or 14 less than maximum)
Speed: 211$\div$3 = 70$\frac{1}{3}$                                  (or 14$\div$3 = 4$\frac23$ less than speed limit)