There are some water lilies in a lake. The area that they cover doubles in size every day. After 17 days the whole lake is covered. How long did it take them to cover half the lake?
Ben passed a third of his counters to Jack, Jack passed a quarter
of his counters to Emma and Emma passed a fifth of her counters to
Ben. After this they all had the same number of counters.
Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. How long could he make his peaches last for?
Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever. . . .
Each letter represents a different positive digit
AHHAAH / JOKE = HA
What are the values of each of the letters?
This problem caught a lot of you out!
Go to last month's problems to see more solutions.
This article for pupils and teachers looks at a number that even the great mathematician, Pythagoras, found terrifying.
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Oware is a Mankala-like game of strategy from Ghana. Simple rules, but not so simple to win - and you'd better be good at counting! Play the computer or play a friend.