Percentages Worksheet - GCSE - Intermediate
Percentages worksheet for Key Stage 4 / GCSE (Ages 14-16). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Mastering Percentages: Intermediate Practice
Key Stage 4 / GCSE (Ages 14-16) - Intermediate Level
Instructions: This worksheet focuses on enhancing your understanding of percentages. You'll tackle real-world problems, calculate percentage changes, and interpret data in various contexts. Follow the instructions for each activity carefully and show all your workings.
Calculating Percentages of Quantities
Calculate the percentage of each given quantity. Show your workings clearly in the space provided.
1. Find 25% of £360.
2. Calculate 15% of 200 kg.
3. Determine 40% of 150 litres.
4. What is 10% of £1,200?
5. Calculate 75% of 80 km.
Percentage Increase and Decrease
For each scenario, calculate the percentage increase or decrease. Show all your workings.
1. A shirt's price increased from £40 to £50. What is the percentage increase?
2. A population decreased from 5,000 to 4,500. What is the percentage decrease?
3. The value of a car decreased from £15,000 to £12,000. Calculate the percentage decrease.
4. A stock price increased from £25 to £30. What is the percentage increase?
Reverse Percentage Problems
Use reverse percentage calculations to find the original amounts. Show your workings.
1. After a 20% discount, a jacket costs £80. What was the original price?
2. A car is sold for £18,000 after a 10% increase in price. Find the original price.
3. A laptop's price is £540 after a 10% reduction. What was the original price?
Compound Interest Calculations
Calculate the compound interest for each scenario. Use the formula A = P(1 + r/n)^(nt) and show your workings.
1. £1,000 is invested at an annual interest rate of 5% compounded yearly for 3 years. Calculate the total amount.
2. £500 is invested at an annual interest rate of 4% compounded quarterly for 2 years. Calculate the total amount.
Interpreting Percentage Data
Analyse the data in the table and answer the questions below. Show your workings where necessary.
| Year | Population | Percentage Change | New Population |
| 2018 | 50 | 000 | 5% |
| 2019 | 52 | 500 | |
| 4% | 2020 | 54 | |
| 600 | 3% | 2021 | |
| 56 | 238 | 2% |
1. Calculate the new population for each year using the percentage change.
2. Which year had the highest percentage change?
3. What is the total population increase from 2018 to 2021?
Percentage Change in Real-World Contexts
Solve the following problems involving percentage changes in real-world contexts. Show all your workings.
1. A shop increases its prices by 12% and then offers a 10% discount. What is the net percentage change in prices?
2. A company's revenue increased by 15% in the first year and decreased by 10% in the second year. What is the overall percentage change?
Comparing Percentages
Compare the given percentages and determine which is greater. Show your workings.
1. Compare 30% of 200 and 25% of 240. Which is greater?
2. Compare 40% of 150 and 50% of 120. Which is greater?
Percentage Word Problems
Read each word problem carefully and calculate the required percentage. Show all your workings.
1. A student scored 72 out of 90 in a test. What percentage did the student score?
2. A recipe requires 200g of flour, but you only have 150g. What percentage of the required flour do you have?
Activity 1: £90 ; 30 kg ; 60 litres ; £120 ; 60 km
Activity 2: 25% ; 10% ; 20% ; 20%
Activity 3: £100 ; £16,363.64 ; £600
Activity 4: £1,157.63 ; £541.21
Activity 5: 52,500 ; 54,600 ; 56,238 ; 2018 ; 6,238
Activity 6: 0.8% decrease ; 3.5% increase
Activity 7: 25% of 240 ; 40% of 150
Activity 8: 80% ; 75%
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