A mother wants to share a sum of money by giving each of her
children in turn a lump sum plus a fraction of the remainder. How
can she do this in order to share the money out equally?
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
Find the decimal equivalents of the fractions one ninth, one ninety
ninth, one nine hundred and ninety ninth etc. Explain the pattern
you get and generalise.
The number 2.525252525252.... can be written as a fraction. What is
the sum of the denominator and numerator?
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?
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.
Imagine you were given the chance to win some money... and imagine
you had nothing to lose...
Weekly Problem 49 - 2016
Four hobbits each eat one quarter of the porridge remaining in the pan. How much is left?
How many sheep are in Jacob's flock?
A group of monkeys eat various fractions of a harvest of peanuts. What fraction is left behind?
A ball is dropped from a height, and every time it hits the ground, it bounces to 3/5 of the height from which it fell.
Use this series of fractions to find the value of x.
Yesterday, at Ulaanbaatar market, a white elephant cost the same amount as 99 wild geese. How many wild geese cost the same amount as a white elephant today?
How can Jim share his sheep between his three children in the way he wants to?
A property developer sells two houses, and makes a 20% loss on one and a 20% profit on the other. Overall, did he make a profit or a loss?