Paper 1F June 2025 (R) Foundation tier, Question 26 5 marks
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Edexcel IGCSE Maths
Topic questions Ratio, proportion and rates of change Growth & decay
Growth & decay
39 questions · 157 marks · about 3 hours
Growth and decay questions
TopicGrowth & decay▾
Edexcel 4MA1 Growth and decay 39 questions
Paper 1H June 2025 (R) Higher tier, Question 11 5 marks
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Paper 2F June 2025 Foundation tier, Question 24 3 marks
Tim buys a bracelet for 4000 Swiss francs. The value of the bracelet increases by 7% each year.
Work out the value of the bracelet at the end of 3 years. Give your answer correct to the nearest Swiss franc.
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Paper 1F June 2024 (R) Foundation tier, Question 20, also on the Higher paper 3 marks
Slavomir invests 5200 euros in a savings account for 4 years. He gets 2.5% per year compound interest.
Work out how much money Slavomir will have in the savings account at the end of 4 years. Give your answer correct to the nearest euro.
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Paper 1H June 2024 (R) Higher tier, Question 5, also on the Foundation paper 3 marks
Also involves Rounding
Slavomir invests 5200 euros in a savings account for 4 years. He gets 2.5% per year compound interest.
Work out how much money Slavomir will have in the savings account at the end of 4 years. Give your answer correct to the nearest euro.
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Paper 2F November 2023 Foundation tier, Question 23, also on the Higher paper 3 marks
Hermione buys a boat for $26 800 The value of the boat depreciates by 8% each year.
Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest dollar.
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Paper 2H November 2023 Higher tier, Question 7, also on the Foundation paper 3 marks
Hermione buys a boat for $26 800 The value of the boat depreciates by 8% each year.
Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest dollar.
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Paper 1F June 2023 (R) Foundation tier, Question 25, also on the Higher paper 3 marks
Kazi buys a car for 700 000 taka. The value of the car depreciates by 12% each year.
Work out the value of the car at the end of 3 years. Give your answer correct to the nearest taka.
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Paper 1H June 2023 (R) Higher tier, Question 9, also on the Foundation paper 3 marks
Kazi buys a car for 700 000 taka. The value of the car depreciates by 12% each year.
Work out the value of the car at the end of 3 years. Give your answer correct to the nearest taka.
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Paper 2F June 2023 Foundation tier, Question 24 3 marks
Charlotte buys a painting for $680 The value of the painting increases by 4% each year.
Work out the value of the painting at the end of 3 years. Give your answer correct to the nearest $
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Paper 2F January 2023 (R) Foundation tier, Question 23, also on the Higher paper 6 marks
Teresa invests $2000 for 3 years in a savings account. She gets 4% each year compound interest.
(a)
[3]
How much money will Teresa have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.
Sam invested $T The value of his investment decreased by 9% each year.
At the end of the first year, the value of Sam’s investment was $1365
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(b)
[3]
Work out the value of T
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Paper 2F January 2023 Foundation tier, Question 23, also on the Higher paper 4 marks
Matteo is going to invest 5000 Swiss francs for two years.
He can invest his money in Bank G or in Bank H.
The total amount of interest Matteo would receive at the end of two years from Bank G is more than the amount of interest Matteo would receive at the end of two years from Bank H.
How much more?
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Paper 2H January 2023 Higher tier, Question 8, also on the Foundation paper 4 marks
Matteo is going to invest 5000 Swiss francs for two years.
He can invest his money in Bank G or in Bank H.
The total amount of interest Matteo would receive at the end of two years from Bank G is more than the amount of interest Matteo would receive at the end of two years from Bank H.
How much more?
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Paper 2H January 2023 (R) Higher tier, Question 9, also on the Foundation paper 6 marks
Teresa invests $2000 for 3 years in a savings account. She gets 4% each year compound interest.
(a)
[3]
How much money will Teresa have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.
Sam invested $T The value of his investment decreased by 9% each year.
At the end of the first year, the value of Sam’s investment was $1365
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(b)
[3]
Work out the value of T
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Paper 1F June 2022 Foundation tier, Question 21, also on the Higher paper 6 marks
Asha bought an apartment.
The table gives information about the value of apartments, in euros, and the annual service charge band.
| Value (x euros) | Service charge band |
x  700 000 | A |
600 000  x  700 000 | B |
500 000  x  600 000 | C |
| 400 000 x 500 000 | D |
0 x  400 000 | E |
In 2021, the value of Asha’s apartment was 634 400 euros.
The value of Asha’s apartment had increased by 4% from its value in 2020
(a)
[3]
Has the annual service charge band changed for Asha’s apartment? Show your working clearly.
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(b)
[3]
Pam bought a boat.
In each year after Pam bought the boat, the value of the boat depreciated by 15%
Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat.
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Paper 1H June 2022 Higher tier, Question 6, also on the Foundation paper 6 marks
Asha bought an apartment.
The table gives information about the value of apartments, in euros, and the annual service charge band.
| Value (x euros) | Service charge band |
| x 700 000 | A |
| 600 000 x 700 000 | B |
| 500 000 x 600 000 | C |
| 400 000 x 500 000 | D |
| 0 x 400 000 | E |
In 2021, the value of Asha’s apartment was 634 400 euros.
The value of Asha’s apartment had increased by 4% from its value in 2020
(a)
[3]
Has the annual service charge band changed for Asha’s apartment? Show your working clearly.
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(b)
[3]
Pam bought a boat.
In each year after Pam bought the boat, the value of the boat depreciated by 15%
Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat.
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Paper 1H June 2022 (R) Higher tier, Question 8 3 marks
Also involves Rounding
Jane bought a new car for $18 000 The car depreciates in value by 15% each year.
Work out the value of the car at the end of 4 years. Give your answer correct to the nearest $
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Paper 1H January 2022 Higher tier, Question 11 3 marks
Also involves Rounding
Himari invests 200 000 yen for 3 years in a savings account paying compound interest.
The rate of interest is 1.8% for the first year and x% for each of the second year and the third year.
The value of the investment at the end of the third year is 209 754 yen.
Work out the value of x Give your answer correct to one decimal place.
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Paper 2F January 2022 (R) Foundation tier, Question 22, also on the Higher paper 3 marks
Shane invests 7200 dollars for 3 years in a savings account. He gets 2.5% per year compound interest.
How much money will Shane have in his savings account at the end of 3 years? Give your answer to the nearest dollar.
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Paper 2H January 2022 (R) Higher tier, Question 5, also on the Foundation paper 3 marks
Shane invests 7200 dollars for 3 years in a savings account. He gets 2.5% per year compound interest.
How much money will Shane have in his savings account at the end of 3 years? Give your answer to the nearest dollar.
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Paper 1F January 2021 (R) Foundation tier, Question 22, also on the Higher paper 3 marks
Also involves Rounding
Kuro invests 50 000 yen for 3 years in a savings account. She gets 2.4% per year compound interest.
Work out how much money Kuro will have in her savings account at the end of the 3 years. Give your answer correct to the nearest yen.
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Paper 1F January 2021 Foundation tier, Question 23, also on the Higher paper 6 marks
Chen invests 40 000 yuan in a fixed-term bond for 3 years.
The fixed-term bond pays compound interest at a rate of 3.5% each year.
(a)
[3]
Work out the value of Chen’s investment at the end of 3 years. Give your answer to the nearest yuan.
Wang invested P yuan. The value of his investment decreased by 6.5% each year.
At the end of the first year, the value of Wang’s investment was 30 481 yuan.
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(b)
[3]
Work out the value of P.
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Paper 1H January 2021 (R) Higher tier, Question 7, also on the Foundation paper 3 marks
Kuro invests 50 000 yen for 3 years in a savings account. She gets 2.4% per year compound interest.
Work out how much money Kuro will have in her savings account at the end of the 3 years. Give your answer correct to the nearest yen.
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Paper 1H January 2021 Higher tier, Question 7, also on the Foundation paper 6 marks
Chen invests 40 000 yuan in a fixed-term bond for 3 years.
The fixed-term bond pays compound interest at a rate of 3.5% each year.
(a)
[3]
Work out the value of Chen’s investment at the end of 3 years. Give your answer to the nearest yuan.
Wang invested P yuan. The value of his investment decreased by 6.5% each year.
At the end of the first year, the value of Wang’s investment was 30 481 yuan.
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(b)
[3]
Work out the value of P.
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Paper 1F November 2020 (R) Foundation tier, Question 24 3 marks
Harold bought an antique clock for £1200 The clock increased in value by 8% per year.
Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £.
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Paper 1H November 2020 Higher tier, Question 13 3 marks
Jan invests $8000 in a savings account. The account pays compound interest at a rate of x% per year.
At the end of 6 years, there is a total of $8877.62 in the account.
Work out the value of x. Give your answer correct to 2 decimal places.
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Paper 2F November 2020 Foundation tier, Question 20, also on the Higher paper 6 marks
Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%
(a)
[3]
Work out Himari’s salary after this increase.
Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%
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(b)
[3]
Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.
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Paper 2H November 2020 Higher tier, Question 5, also on the Foundation paper 6 marks
Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%
(a)
[3]
Work out Himari’s salary after this increase.
Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%
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(b)
[3]
Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.
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Paper 1H January 2020 Higher tier, Question 11 3 marks
Also involves Rounding
Max invests $6000 in a savings account for 3 years. The account pays compound interest at a rate of 1.5% per year for the first 2 years.
The compound interest rate changes for the third year. At the end of 3 years, there is a total of $6311.16 in the account.
Work out the compound interest rate for the third year. Give your answer correct to 1 decimal place.
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Paper 2F January 2020 (R) Foundation tier, Question 22, also on the Higher paper 3 marks
Also involves Rounding
Hamish buys a new car for $20 000 The car depreciates in value by 19% each year.
Work out the value of the car at the end of 3 years. Give your answer to the nearest $.
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Paper 2H January 2020 (R) Higher tier, Question 8, also on the Foundation paper 3 marks
Hamish buys a new car for $20 000 The car depreciates in value by 19% each year.
Work out the value of the car at the end of 3 years. Give your answer to the nearest $.
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Paper 1F June 2019 Foundation tier, Question 22, also on the Higher paper 3 marks
On 1st January 2016 Li bought a boat for $170 000 The value of the boat depreciates by 8% per year.
Work out the value of the boat on 1st January 2019 Give your answer correct to the nearest dollar.
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Paper 1H June 2019 Higher tier, Question 8, also on the Foundation paper 3 marks
On 1st January 2016 Li bought a boat for $170 000 The value of the boat depreciates by 8% per year.
Work out the value of the boat on 1st January 2019 Give your answer correct to the nearest dollar.
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Paper 2H June 2019 (R) Higher tier, Question 10 3 marks
Henri buys a yacht for 150 000 euros.
The yacht depreciates in value by 18% each year.
Work out the value of the yacht at the end of 3 years. Give your answer correct to the nearest euro.
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Paper 1F June 2018 Foundation tier, Question 21, also on the Higher paper 6 marks
Chao bought a boat for HK$160 000 The value of the boat depreciates by 4% each year.
(a)
[3]
Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest HK$.
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(b)
[3]
Jalina gets a salary increase of 5% Her salary after the increase is HK$252 000
Work out Jalina’s salary before the increase.
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Paper 1H June 2018 Higher tier, Question 7, also on the Foundation paper 6 marks
Chao bought a boat for HK$160 000 The value of the boat depreciates by 4% each year.
(a)
[3]
Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest HK$.
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(b)
[3]
Jalina gets a salary increase of 5% Her salary after the increase is HK$252 000
Work out Jalina’s salary before the increase.
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Paper 1H June 2018 (R) Higher tier, Question 12 7 marks
A company makes cars.
In 2016, the company made 350 cars.
In the first 6 months of 2017, the company made 25 cars each month. In the last 6 months of 2017, the company made 45 cars each month.
(a)
[4]
Work out the percentage increase in the number of cars the company made from 2016 to 2017
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(b)
[3]
The company’s income in 2017 was $500 000 more than the company’s income in 2016
The company’s income in 2017 was 8% more than the company’s income in 2016
Work out the company’s income in 2016
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Paper 2F June 2018 (R) Foundation tier, Question 22, also on the Higher paper 3 marks
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
Work out the total amount of money in the account at the end of 3 years. Give your answer to the nearest rupee.
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Paper 2H June 2018 (R) Higher tier, Question 6, also on the Foundation paper 3 marks
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
Work out the total amount of money in the account at the end of 3 years. Give your answer to the nearest rupee.
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