Ram divided 15 pennies among four small bags.

bags

He labelled each bag with the number of pennies inside it.

He could then pay any sum of money from 1p to 15p without opening any bag.

How many pennies did Ram put in each bag?

This problem is based on Money Bags from Mathematical Challenges for Able Pupils Key Stages 1 and 2, published by DfES. You can order copies on 0845 60 222 60 or via email: dfes@prolog.uk.com. Please quote code 0083/2000.