### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Have You Got It?

Can you explain the strategy for winning this game with any target?

### Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

# 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
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)