You may also like

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 Short
Challenge 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
Final milometer reading: 30003

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)

You can find more short problems, arranged by curriculum topic, in our short problems collection.