Fractions, Decimals & Percentages

Percentage Unchanged

Age 14 to 16 Short Challenge Level:

If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?

Fair Shares?

Age 14 to 16 Challenge Level:

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?

Matching Fractions, Decimals and Percentages

Age 7 to 14 Challenge Level:

An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.

Tiny Nines

Age 14 to 16 Challenge Level:

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.

Repetitiously

Age 11 to 14 Challenge Level:

The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

Peaches Today, Peaches Tomorrow....

Age 11 to 14 Challenge Level:

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's Game

Age 11 to 14 Challenge Level:

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.

Fractions and Percentages Card Game

Age 11 to 16 Challenge Level:

Match the cards of the same value.

A Chance to Win?

Age 11 to 14 Challenge Level:

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Doughnut Percents

Age 7 to 14 Challenge Level:

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Breakfast Time

Age 11 to 14 Short Challenge Level:

Weekly Problem 49 - 2016
Four hobbits each eat one quarter of the porridge remaining in the pan. How much is left?

Jacob's Flock

Age 11 to 14 Short Challenge Level:

How many sheep are in Jacob's flock?

Peanut Harvest

Age 11 to 14 Short Challenge Level:

A group of monkeys eat various fractions of a harvest of peanuts. What fraction is left behind?

Entrance Exam

Age 14 to 16 Short Challenge Level:

Dean finishes his exam strongly. Can you work out how many questions are on the paper if he gets an average of 80%?

Relative Angles

Age 14 to 16 Short Challenge Level:

Can you work out the angles of a triangle from the relationships between them?

Bouncing Ball

Age 11 to 14 Short Challenge Level:

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.

Tricky Fractions

Age 11 to 14 Short Challenge Level:

Use this series of fractions to find the value of x.

Elephants and Geese

Age 14 to 16 Short Challenge Level:

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?

Share a Sheep

Age 11 to 14 Short Challenge Level:

How can Jim share his sheep between his three children in the way he wants to?

The Property Market

Age 14 to 16 Short Challenge Level:

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?

Charlie's Money

Age 11 to 14 Short Challenge Level:

How much money did Charlie have to begin with?

Coal Truck

Age 14 to 16 Short Challenge Level:

What percentage of the truck's final mass is coal?

Pineapple Juice

Age 14 to 16 Short Challenge Level:

What percentage of this orange drink is juice?

Between a Sixth and a Twelfth

Age 11 to 14 Short Challenge Level:

The space on a number line between a sixth and a twelfth is split into 3 equal parts. Find the number indicated.