### 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...

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

# Jugs of Wine

##### Age 11 to 14Challenge Level

You have four jugs of 9, 7, 4 and 2 litres capacity. The 9 litre jug is full of wine, the others are empty.
Can you divide the wine into three equal quantities?
Can you do it in different ways?

You have three jugs one of which is full and holds 8 litres. The capacity of other jugs is not known. But, it is known that when using them every whole number quantity from 1 litre to 8 litres can be accurately measured out.
What could be the capacities of the 2 other jugs?
How would you measure all the whole number quantities from 1 to 8 litres?