# Fractions, Decimals & Percentages

### Fair Shares?

##### Stage: 4 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

##### Stage: 3 Challenge Level:

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

### Tiny Nines

##### Stage: 4 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

##### Stage: 3 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....

##### Stage: 3 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

##### Stage: 3 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

##### Stage: 3 and 4 Challenge Level:

Match the cards of the same value.

### A Chance to Win?

##### Stage: 3 Challenge Level:

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

### Doughnut Percents

##### Stage: 2, 3 and 4 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

##### Stage: 3 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

##### Stage: 3 Short Challenge Level:

How many sheep are in Jacob's flock?

### Peanut Harvest

##### Stage: 3 Short Challenge Level:

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

### Entrance Exam

##### Stage: 4 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

##### Stage: 4 Short Challenge Level:

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

### Bouncing Ball

##### Stage: 3 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

##### Stage: 3 Short Challenge Level:

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

### Elephants and Geese

##### Stage: 4 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

##### Stage: 3 Short Challenge Level:

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

### The Property Market

##### Stage: 4 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?