### 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...

# Multiplication Cube

##### Age 11 to 14 ShortChallenge Level

The 4, 5 and 6 will be involved in the largest possible products, so we can begin by seeing whether they touch.

The 4 and the 5 do not touch, as shown in the diagram below, which shows part of the folded net.

The 6 touches the 4 and the 5, as shown.

This means that the greatest product must include the 6 and the 5 or the 6 and the 4.

Clearly it will include the 3, not the 1, and so it will be 6$\times$5$\times$3 = 90.
You can find more short problems, arranged by curriculum topic, in our short problems collection.