Mathematics 0580 · IGCSE

Rates

82 practice questions on Rates, with worked solutions and instant marking.

Exchange rates displayed: the box states "1 euro = $1.09" and "$1 = 62 rupees".

Feb/March 2017

A train leaves Green Hill, pauses for 5 minutes at Deep Valley, and then continues to Clear Lake. The timetable for the train gives the times.

Feb/March 2017

Pranay spots a grey jacket priced at 165 euros (€) and a blue jacket priced at $180. The exchange rates provided are: €1 = 76.05 rupees 1 rupee = $0.0152

Feb/March 2018

Calculate how many litres enter the tank in one hour.

Feb/March 2019

The rates below are what a painter, a plumber and an electrician charge for some work carried out for Mr Sharma. Painter: $35 per hour. Plumber: Fixed charge $40 plus $26.50 per hour. Electrician: $48 per hour for the first 2 hours then $32 per hour.

Feb/March 2021

A suit is priced at $6500$ rupees. The exchange rate is $1$ rupee $=\ $0.013.

Feb/March 2023

A train that is 1750 metres in length is moving at 55 km/h.

Feb/March 2024

The oranges are priced at 220 rupees per kilogram. Find the cost of 9 kg of these oranges.

Feb/March 2025

A car covers 95 km in 2 hours and 15 minutes. Calculate the average speed of the car in km/h.

Feb/March 2025

James pays $2$ euros (€) for a drink.

May/June 2015

At an average speed of 64 kilometres per hour, a car covers 1280 metres.

May/June 2015

The diagram represents a water channel on level ground. The channel has a fixed rectangular cross-section with area $0.95\,m^2$. It is completely full, and the water moves through it at 4 metres per minute.

May/June 2015

Nina is travelling from her Mumbai home to Dubai for a holiday.

May/June 2015

Omar exchanges 2000 Saudi Arabian riyals (SAR) for euros (€) at the rate €1 = 5.087 SAR. Calculate the amount Omar gets, giving your answer correct to the nearest euro.

May/June 2016

Jamal converts $800$ Chinese Yuan into dollars, using an exchange rate of $\$1 = 6.24$ Chinese Yuan.

May/June 2016

A car measuring 4.3 m in length is moving at 105 km/h and travels across a bridge that is 36 m long.

May/June 2016

Omar converts 2000 Saudi Arabian riyals (SAR) into euros (€) using an exchange rate of €1 = 5.087 SAR.

May/June 2016

Mr Chan makes a flight from London to Los Angeles, covering a distance of 8800 km. The journey lasts 11 hours and 10 minutes.

May/June 2016

By manual conversion, 5000 Mexican Pesos are exchanged for dollars, and he gets $336.

May/June 2017

The exchange rate for dollars and euros (€) is set at €1 = $\$1.158$.

May/June 2017

Calculate Liz’s average speed.

May/June 2018

Calculate Liz's average speed.

May/June 2018

A car is moving with a steady speed of $20\text{ m s}^{-1}$.

May/June 2019

This machine consistently needs 5 minutes to paint an 80 metre white line on a road.

May/June 2019

Prague and Vienna are 254 kilometres apart. Prague has the same local time as Vienna. A train departs from Prague at 15 20 and reaches Vienna at 19 50 on the same day.

May/June 2019

Brad made the trip from his home in New York to Chamonix. • He set off from home at 16 30 and went by taxi to the airport in New York. This part of the journey lasted 55 minutes and the average speed was $18\,\text{km/h}$. • He then flew from New York to Geneva, leaving New York at 22 15. The flight path may be treated as an arc of a circle with radius $6400\,\text{km}$ and a sector angle of $55.5^{\circ}$. Geneva’s local time is 6 hours ahead of New York’s local time. Brad reached Geneva at 11 25 the next day. • To finish the journey, Brad went by bus from Geneva to Chamonix. This section began at 13 00 and took 1 hour 36 minutes. The average speed was $65\,\text{km/h}$. Chamonix has the same local time as Geneva.

May/June 2019

This excerpt shows part of a train timetable for travel from London to Marseille. Every time listed uses local time. Marseille’s local time is 1 hour ahead of London’s local time.

May/June 2019

The towns of A and B are joined by a straight road that is 130 km long. Maxi sets off from town A towards town B, while Pippa goes from town B towards town A. Each one moves at a steady speed of 40 km/h, and Maxi starts 30 minutes ahead of Pippa.

May/June 2021

At a bank, Nazaneen exchanges $6500 for 5798 euros.

May/June 2021

Alex converts 190 euros (€) into pounds (£) when $£1 = €1.1723$.

May/June 2021

Jo places $600$ into an investment for 7 years at simple interest of $1.5\%$ per year.

May/June 2021

The fare for a taxi trip is found by using: $0.50$ for each kilometre, together with $0.40$ for each minute.

May/June 2021

Kirsty converts $380.80$ into pounds (£) using the rate £1 = $1.19. Work out the amount that Kirsty gets.

May/June 2022

Lin invests $16000$ at a simple interest rate of $r\%$ per year. After 5 years, the total amount is $17920$.

May/June 2022

The table presents the population figures and land area of three countries in 2020.

May/June 2022

A train moves through a station at 108 km/h. The station measures 120 m in length. It needs 7 seconds to go right through the station.

May/June 2022

Mr Zhang, together with his wife and their three children, is going on holiday from Shanghai to Auckland.

May/June 2022

This is an extract from a bus timetable.

May/June 2022

At an exchange rate of $\$1 = 0.913$ Swiss francs, Maddie converts 4000 Swiss francs into dollars.

May/June 2023

Calculate the total he charges for 4 hours of work.

May/June 2024

Work out her speed in kilometres per hour.

May/June 2024

Dara converts 5700 Thai baht into dollars. The exchange rate is $\$1 = 34.18$ Thai baht.

May/June 2025

A train departs from station A at 13 44. It reaches station B after 3 hours and 30 minutes.

May/June 2025

Meg puts in $2500 at a simple interest rate of 4.6% per year.

May/June 2025

In the USA, fuel is priced at $4.83 for 1 gallon. In the UK, fuel is priced at £1.62 for 1 litre. The exchange rate is £1 = $1.215. 1 gallon = 3.785 litres.

May/June 2025

Scott converts $300 into pounds (£). The exchange rate is £1 = $1.20.

May/June 2025

A sum of $2600 is placed for 5 years at a simple interest rate of $4\%$ per year.

Oct/Nov 2015

Carlos exchanged $950 for euros (€) at an exchange rate of $€1 = \$1.368$.

Oct/Nov 2015

A car is moving at $56$ km/h.

Oct/Nov 2015

Calculate how many kilograms of food this goat eats in one week.

Oct/Nov 2015

The dollar–Thai Baht exchange rate is $\$1 = 31.48$ Baht.

Oct/Nov 2016

A train moves for $m$ minutes at a speed of $x$ metres per second.

Oct/Nov 2016

A watch is priced at $80. The exchange rate is $1 = 124.3 Japanese Yen.

Oct/Nov 2017

A taxi fare consists of a fixed charge of $\$4.50$, together with $80$ cents for every kilometre completed. Julianna goes $7\,\text{km}$.

Oct/Nov 2017

Amar rides his bicycle at 18 km/h, and he needs 55 minutes to go from one village to the other.

Oct/Nov 2017

The dollar-to-euro exchange rate is $1 = €0.88.$

Oct/Nov 2018

Calculate the distance covered by the car. Give your answer in metres.

Oct/Nov 2018

Kiran sets off from home at 9.45 am. She travels 135 km to see a friend, reaching her friend’s house at 11.15 am.

Oct/Nov 2019

Rashid converts 30 000 rupees into dollars at an exchange rate of $1 = 68.14$ rupees.

Oct/Nov 2019

A pipe is entirely filled with water. Water moves through the pipe at a speed of $1.2\,\text{m s}^{-1}$ into a tank. The pipe’s cross-sectional area is $6\,\text{cm}^2$.

Oct/Nov 2019

Car A and car B compete in a race on a circular track. The length of one complete lap is 7.6 km. Car A needs 2 minutes and 40 seconds to finish each lap of the track. Car B needs 2 minutes and 25 seconds to finish each lap of the track. Both cars move with uniform speed.

Oct/Nov 2019

Ramond covers $2460$ metres in $33$ minutes.

Oct/Nov 2020

Thor converts $40000$ Icelandic Krona into dollars at an exchange rate of $1$ krona = $0.0099$ dollars.

Oct/Nov 2020

Rangan purchases 3.6 kg of potatoes together with 2.8 kg of leeks. The overall cost comes to $13.72. Leeks are priced at $2.65 per kilogram.

Oct/Nov 2020

Karel’s trip went first from London to Johannesburg, and afterwards from Johannesburg to Windhoek.

Oct/Nov 2020

Determine the coat’s price in dollars when the exchange rate is $1$ euro $= \$1.15$.

Oct/Nov 2021

Nina converts 153 euros into dollars at the rate $\$1 = 0.9$ euros.

Oct/Nov 2021

At midnight, the temperature stood at $-8^\circ\text{C}$. By noon, it had risen to $6^\circ\text{C}$.

Oct/Nov 2021

Work out Beatrice’s average speed over the complete trip.

Oct/Nov 2021

Roberto and his family take a holiday flight from London to Los Angeles.

Oct/Nov 2021

Jenna purchases 2.4 m of ribbon together with 4.8 m of fabric, and the combined price is $33.48. The ribbon price is $0.85 per metre.

Oct/Nov 2022

Nerina places $5400 in a simple interest account at an annual rate of $r\%$. After 3 years, the overall interest earned is $429.30$.

Oct/Nov 2022

Jenna purchases 2.4 m of ribbon and 4.8 m of fabric. Altogether, the cost comes to $33.48. The ribbon is priced at $0.85 per metre.

Oct/Nov 2022

The table lists the amount obtained when exchanging $100 in some countries. Country and amount received for $100: Wales: 77.05 pounds India: 7437.05 rupees China: 671.20 yuan Spain: 85.35 euros.

Oct/Nov 2023

Determine how long this journey lasts.

Oct/Nov 2024

In 15 minutes, Enzo, Rashid and Blessy each complete as many lengths of a swimming pool as they can. Their results are listed in the table.

Oct/Nov 2024

Calculate Naomi’s average speed, in kilometres per hour.

Oct/Nov 2024

Total cost of a journey = number of litres of fuel used \times cost of fuel per litre. For this journey, 128 litres of fuel are used. Fuel costs $1.52 per litre.

Oct/Nov 2025

Ada works Monday through Friday.

Oct/Nov 2025

The travel graph illustrates Chi’s trip from home to the station.

Oct/Nov 2025

The diagram depicts a section of an athlete’s speed-time graph in a race.

Oct/Nov 2025

An athlete is moving at 9.5 m/s. Change this speed to km/h.

Oct/Nov 2025