This is part of our collection of Short Problems.

You may also be interested in our longer problems on Ratio, Proportion and Rates of Change.

Printable worksheets containing selections of these problems are available here.

problem

### Race Time

Frank and Gabriel competed in a 200m race. Interpret the different units used for their times to work out who won.

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### Dean's Mountain

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

problem

### Draining a pool

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

problem

### Three of a Kind

How long is it between 5:55 and the next time all three digits on a digital clock are the same?

problem

### Printer Ink

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

problem

### A Classy Ratio

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?

problem

### Athletics Club

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

problem

### Family Fortune

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

problem

### Eating Beans

The Bean family are very particular about beans. At every meal all Beans eat some beans... At their last meal they ate 23 beans altogether. How many beans did Pa Bean eat?

problem

### 24 Hour Conundrum

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

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### Flying Down Under

Fred flew to Melbourne, Australia. What time was it in Melbourne when Fred's flight arrived?

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### Turbo Tortoise

Harriet Hare and Turbo Tortoise want to cross the finish line together on their 12 mile race.... What time should Harriet set off?

problem

### Flapjack

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?

problem

### Roman Distances

Marcus' atrium was a square with each side 50 pedes long. How many times did Marcus have to walk round his atrium to complete his daily exercise of 8 stadia?

problem

### Thunder and Lightning

How far away was the lightning if the flash and the thunderclap were 6 seconds apart?

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### Musical Maths

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

problem

### Don't Be Late

Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

problem

### Off the Cuff

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

problem

### The elephant diet

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

problem

### Out of Sync

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

problem

### Decimal Clock

A decimal clock is started at midnight. What time would it show at 6 o'clock in the morning?

problem

### Sharing Sweets

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?

problem

### How many Swimmers?

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?

problem

### Stair Climb

Three people run up stairs at different rates. If they each start from a different point - who will win, come second and come last?

problem

### Fruit Basket Ratio

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

problem

### Tyre Wear

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?

problem

### Washing elephants

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

problem

### Revolutions

Jack and Jill run at different speeds in opposite directions around the maypole. How many times do they pass in the first minute?

problem

### Hiking the Hill

Sarah's average speed for a journey was 2 mph, and her return average speed was 4 mph. What is her average speed for the whole journey?

problem

### Tummy Ache

Timmy, Tammy and Tommy all go to the doctors. In what order do they arrive at the surgery?

problem

### The London Eye

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

problem

### Caught in the Web

Can you estimate the mass of insects caught by spiders in the UK each year?

problem

### Walking in the Mountains

Heidi and Peter pass two signs which say how far their destination is. How long will it take them to get there?

problem

### Overtake

Tom and Tim are travelling towards Glasgow, but leave at different times. If Tim overtakes Tom, how fast is he travelling?

problem

### Dolly Dolphin

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

problem

### Travelling by Train

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

problem

### Hillwalking

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?

problem

### Very Long Line

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?

problem

### Crude Calculation

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

problem

### Platinum Puzzle

What is the approximate total volume of platinum that has ever been produced?

problem

### Pond Runners

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

problem

### Petrol Stop

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

problem

### Televisual Technology

If a new and an old television have screens of the same area, what is the ratio of their widths?

problem

### Traffic Jam

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

problem

### Two trains

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

problem

### Marathon Mission

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

problem

### Walk Up the Escalator

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

problem

### 100m sprint

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

problem

### Boys and Girls

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

problem

### Backwards laps

If two friends run in opposite directions around a track, and they pass each other every 24 seconds, how long do they take to complete a lap?