Cambridge IGCSE · Mathematics (0580)

Percentages: Practice Questions

5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Percentages.

9 questions20 marksFree, no account
Question 1
1 mark

Sarah invests \( \$5000 \) in a bank account that pays compound interest at a rate of \( 3\% \) per year. Calculate the total amount of money Sarah will have in her account after 4 years, correct to the nearest dollar.

Question 2
1 mark

A rare painting increases in value by \( r\% \) each year.
Given that the value of the painting doubles in exactly 10 years, calculate the value of \( r \) correct to 1 decimal place.

Question 3
1 mark

An investor places \( \$800 \) in a savings account that pays simple interest at a rate of \( 4.5\% \) per year.
Find the total interest earned after 6 years.

Question 4
1 mark

The population of a town decreases at a rate of \( 4\% \) per year.
If the initial population is 25,000, find the population after 3 years, correct to the nearest whole number.

Question 5
1 mark

A camera is sold for \( \$425 \) after a discount of \( 15\% \) has been applied to its original price.
What was the original price of the camera?

Question 6
2 marks

Calculate 25% of 180 kg.

Write your answer out first, then check it against the worked solution.

Question 7
3 marks

In a sale, a shop reduces all prices by \( 20\% \).
The sale price of a coat is \( \$112 \).
Calculate the original price of the coat.

Write your answer out first, then check it against the worked solution.

Question 8
5 marks

A house increases in value by \( 10\% \) in the first year and then decreases in value by \( 5\% \) in the second year.
Calculate the overall percentage increase in the value of the house over the two years.

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Question 9
5 marks

Liam invested $$1200\$ in a savings account. The account pays compound interest at a rate of \( r\% \) per year.

(a) After 3 years, the value of the investment was $$1348.32$. Calculate the value of \( r \), giving your answer to one decimal place.

(b) Liam withdrew the full amount of $$1348.32$ from the savings account and used it to buy a bicycle during a sale. The sale price of the bicycle was \( 16\% \) less than the original price. Calculate the original price of the bicycle, giving your answer to the nearest dollar.

Write your answer out first, then check it against the worked solution.

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