IGCSE Mathematics 0580, topic E1.17
Exponential growth and decay: past paper questions
19 Cambridge IGCSE Mathematics 0580 questions on Exponential growth and decay (E1.17) from 17 papers, 2023 to 2026. Open the paper or try a question free.
Practising builds a set from this topic, free with an account. One question opens straight away, with no account.
- Questions
- 19
- Papers
- 17
- Years
- 2023 to 2026
- Total marks
- 116
- Average per question
- 6.1 marks
- Largest question
- 15 marks
By type: Structured 19
How hard the questions are
- Recall0
- Apply19
- Analyse0
- Not banded0
Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.
Command words
- calculateApply13 questions
work out from given facts, figures or information
- findApply11 questions
- work outApply3 questions
calculate from given facts, figures or information with or without the use of a calculator
- writeRecall1 question
give an answer in a specific form
Where the questions come from
By year
- 20263
- 20255
- 20246
- 20235
By session
- May/June12
- Oct/Nov7
By paper
- Paper 26
- Paper 413
Questions on this topic
Showing 9 of 19, spread across the years. Open one to write your answer and have it marked.
- Try this questionQuestion 19Oct/Nov 2025, paper 41Structured3 marks
The mass of a radioactive substance decays exponentially at a rate of 10% per day. The initial mass of the substance is . Find the number of whole days it takes for the mass of the substance to first be less than .
- Try this questionQuestion 15Oct/Nov 2024, paper 22Structured2 marks
At the start of an experiment there are bacteria. The number of bacteria increases at a rate of per hour. Calculate the number of bacteria after 3 hours.
- Try this questionQuestion 13Oct/Nov 2023, paper 21Structured3 marks
At the end of 2021 there were rhinos living in the wild. The number of rhinos is expected to decrease exponentially by each year. Work out the number of rhinos expected to be living in the wild 4 years later, at the end of 2025.
- Try this questionQuestion 12May/June 2026, paper 42Structured3 marks
A scientist records the mass of a radioactive substance at the same time each day. On 10 January, the scientist records a mass of 150 grams. Each day, the mass of the substance decreases by .
- Try this questionQuestion 3Oct/Nov 2023, paper 42Structured15 marks
The value of Priya's car decreases by 10% every year.
- Try this questionQuestion 15Oct/Nov 2025, paper 43Structured5 marks
The population of a town is . The population is decreasing exponentially at a rate of per year. Calculate the decrease in the population at the end of 4 years.
- Try this questionQuestion 15May/June 2023, paper 23Structured2 marks
The number of trees in a forest is decreasing exponentially at a rate of 1.75% per year. Eleven years ago there were 980 trees. Calculate the number of trees in the forest now.
- Try this questionQuestion 1May/June 2024, paper 42Structured12 marksHas a diagram
A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.
- Try this questionQuestion 1May/June 2024, paper 43Structured13 marks
In 2023 a football club had 50 adult members and 70 child members. The membership fee for an adult was $40 and the membership fee for a child was $15. Calculate the total of the membership fees received by the club in 2023.