### Consecutive Numbers

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

### I'm Eight

Find a great variety of ways of asking questions which make 8.

### Calendar Capers

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat this for a number of your choice from the second row. You should now have just one number left on the bottom row, circle it. Find the total for the three numbers circled. Compare this total with the number in the centre of the square. What do you find? Can you explain why this happens?

# Debt Recovery

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

Tina gives Tony 70p.

Let $x$ be the amount Tony owes Tina (which will be negative if Tina owes Tony).
Tony owes Tina 40p: $x=40$.
Tina borrows 50p from Tony: $x=-10$
Tony gives Tina 60p: $x=-70$.
So Tina owes Tony 70p.

This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem