Ratio, Proportion and Rates of Change - Short Problems

If three brothers will get £20 more if they do not share their money with their sister, how much money is there?

The water is being drained from a pool. After how long will the depth of the pool be 144 cm?

A recipe for flapjacks calls for a certain quantity of butter, sugar and oats. Given the amount of these ingredients I have, how many flapjacks can I make?

Dean runs down the mountain at 12 km per hour. How long does it take him to run down the mountain?

A small ink cartridge has enough ink to print 600 pages. How many pages can be printed using a large ink cartridge?

There are six more girls than boys in Miss Spelling's class of 24 pupils. What is the ratio of girls to boys in the class?

An athletics club has girl, boy and adult members. How many members does the club have?

It is 225 minutes until midnight. What time is it on a 24-hour digital clock?

Can you work out the ratio of shirt types made by a factory, if you know the ratio of button types used?

Can you work out the number of chairs at a cafe from the number of legs?

Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?

Approximately how long is five hundred and twenty five thousand six hundred minutes?

How many adults would need to join this group of people to reverse this ratio?

Use the relationship between the elephant and the rabbit to find out how many carrots the rabbit eats in a day

A car with 5 tyres (four road tyres and a spare) travelled 30,000 km. All 5 tyres were used equally. How many kilometres' wear did each tyre receive?

Maria and Lucy spun a coin 30 times, and gave each other sweets depending on the outcome of the spin. How many times was tails spun?

Given the ratios of junior to senior and senior to veteran members, can you work out what the smallest possible number of members in a swimming club is?

From two ratios of apples and oranges in a fruit bowl, can you work out how many fruits there are?

How long will it take Mary and Nigel to wash an elephant if they work together?

How many bees could fly 1000 miles if they had 10 gallons of honey?

The 80 spokes of The London Eye are made from 4 miles of cable. What is the approximate circumference of the wheel?

If I walk to the bike shop, but then cycle back, what is my average speed?

Can you work out the ratio b:c given the ratios a:b and a:c?

Can you find Dolly Dolphin's average speed as she swims with and against the current?

How much more antifreeze is needed to make the proportion 30%?

Does Joseph have too many sheep in his flock...

Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?

Andrew walks along a flat path, then up and down a hill, then back along the path. Is it possible to work out how far he has walked?

If the line on the right were 0.2mm thick, how long would it need to be to cover an area of one square metre?

When Andrew arrives at the end of the walkway, how far is he ahead of Bill?

Louise has noticed that the price of petrol has changed. Can you work out the percentage that it has increased by?

Can you work out how much time it will be before Katherine laps James around the pond?

Chris cycled faster than expected. Can you work out his average speed?

Can you find the total number of students in the school, given some information about ratios?

On which of the hare's laps will she first pass the tortoise?

From the information given, can you work out how long Roberto drove for after putting petrol in his car?

Minnie trained more for the London Marathon this year, so her speed increased. By what percentage did her time decrease?

How long will it take six gardeners to dig six circular flower beds?

What is $W$ as a fraction of $Z?$

What is the ratio of the lengths of the candles?

Two trains started simultaneously, each travelling towards the other. How long did each train need to complete the journey?

Emily's journey home took 25% longer than usual. By what percentage was her average speed reduced?

Can you work out how long Aimee would take to get up the escalator if she walked?

Anna, Bridget and Carol run a race. Can you work out where Carol was when Anna finished?