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?
Can you find the value of this function involving algebraic
fractions for x=2000?
To break down an algebraic fraction into partial fractions in which all the denominators are linear and all the numerators are constants you sometimes need complex numbers.
When if ever do you get the right answer if you add two fractions
by adding the numerators and adding the denominators?
In four years 2001 to 2004 Arsenal have been drawn against Chelsea
in the FA cup and have beaten Chelsea every time. What was the
probability of this? Lots of fractions in the calculations!
We received several good solutions. Working with complex numbers the sine function can take any value and is not restricted to being between -1 and 1.
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.
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.