Percentages Worksheet - A-Level - Intermediate

Percentages worksheet for A-Level / Vocational (Ages 16-18). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•A-Level / Vocational (Ages 16-18)•Percentagesintermediate

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Mastering Percentages: A-Level Maths Worksheet

Ages 16-18, Intermediate Level

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Instructions: This worksheet is designed to deepen your understanding of percentages in various mathematical contexts. You will explore percentage change, compound interest, and real-world applications. Work through each activity carefully, showing all calculations and reasoning.

Percentage Change Calculations

Calculate the percentage change for each scenario. Show all your workings clearly in the space provided.

1. The price of a laptop increased from £800 to £960. Calculate the percentage increase.

2. A car's value decreased from £15,000 to £12,750. Calculate the percentage decrease.

3. A population of 50,000 increased to 55,000. Calculate the percentage increase.

4. A stock price dropped from £120 to £108. Calculate the percentage decrease.

Compound Interest Problems

Solve each compound interest problem. Use the formula A = P(1 + r/n)^(nt) where necessary, and show all steps in your calculations.

1. Calculate the amount after 3 years if £2,000 is invested at an annual interest rate of 5%, compounded annually.

2. Determine the future value of £5,000 invested for 5 years at 4% annual interest, compounded quarterly.

3. If £1,500 is invested at 6% annual interest, compounded monthly, what will be the total amount after 2 years?

Real-World Percentage Applications

Apply your knowledge of percentages to solve these real-world problems. Provide clear explanations and calculations.

1. A store offers a 25% discount on a jacket originally priced at £80. What is the sale price?

2. A restaurant bill of £45 has a service charge of 12.5%. Calculate the total bill including the service charge.

3. A salary of £30,000 is increased by 7%. What is the new salary?

Percentage Error in Measurements

Calculate the percentage error for each measurement scenario. Show all your workings clearly.

1. A measured length is 9.8 cm, while the actual length is 10 cm. Calculate the percentage error.

2. A scale shows a weight of 50 kg, but the actual weight is 48 kg. Calculate the percentage error.

3. A thermometer reads 22°C, but the actual temperature is 20°C. Calculate the percentage error.

Exam-Style Percentage Problem

Solve the following exam-style question. Provide detailed workings and explanations to justify your answer.

A company’s revenue increased by 15% in the first year and then decreased by 10% in the second year. If the initial revenue was £200,000, what is the revenue at the end of the second year?

Answer Key

Activity 1: 20% ; 15% ; 10% ; 10%

Activity 2: £2,315.25 ; £6,083.26 ; £1,691.57

Activity 3: £60 ; £50.63 ; £32,100

Activity 4: 2% ; 4.17% ; 10%

Activity 5: £207,000