Repeated Percentage Change – Higher – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

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GCSE GCSE GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q10 Mark invests £7000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8516.57 Work out the value of x. 1 Mark invests £7000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8516.57 Work out the value of x. (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks) GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q10 Edexcel Higher: June 2017 Paper 3, Q10 1 Mark invests £7000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8516.57 Work out the value of x. 1 Mark invests £7000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8516.57 Work out the value of x. (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks)

GCSE GCSE Edexcel Higher: November 2017 Paper 3, Q9 Phil bought a new car for £14 500 The value, £V, of Phil’s car at the end of n years is given by the formula V = 14 500 x (0.85)n At the end of how many years was the value of Phil’s car less than 50% of the value of the car when it was new? 1 Phil bought a new car for £14 500 The value, £V, of Phil’s car at the end of n years is given by the formula V = 14 500 x (0.85)n At the end of how many years was the value of Phil’s car less than 50% of the value of the car when it was new? (2) (2) A savings account pays interest at a rate of R% per year. Phil invests £6500 in the account for one year. At the end of the year, Phil pays tax on the interest at a rate of 30%. After paying tax, he gets £118.30 (b) Work out the value of R. A savings account pays interest at a rate of R% per year. Phil invests £6500 in the account for one year. At the end of the year, Phil pays tax on the interest at a rate of 30%. After paying tax, he gets £118.30 (b) Work out the value of R. (3) (3) (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE GCSE Edexcel Higher: November 2017 Paper 2, Q13 At the beginning of 2010, Mrs Joyce bought a company. The value of the company was £60 000 Each year the value of the company increased by 3%. Calculate the value of the company at the beginning of 2018 Give your answer to the nearest £100 1 At the beginning of 2010, Mrs Joyce bought a company. The value of the company was £60 000 Each year the value of the company increased by 3%. Calculate the value of the company at the beginning of 2018 Give your answer to the nearest £100 £ £ (2) (2) At the beginning of 2010 the value of a different company was £450 000 In 6 years the value of the company increased to £630 000 This is equivalent to an increase of x% each year. Find the value of x. Give your answer correct to 2 significant figures. At the beginning of 2010 the value of a different company was £450 000 In 6 years the value of the company increased to £630 000 This is equivalent to an increase of x% each year. Find the value of x. Give your answer correct to 2 significant figures. (2) (2) (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE GCSE Edexcel Higher: June 2018 Paper 2, Q9 Danny invests £14 000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year the value of Danny’s investment is £14 462 In the second year the rate of interest is 𝑥 3 % What is the value of Danny’s investment at the end of 2 years? 1 Danny invests £14 000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year the value of Danny’s investment is £14 462 In the second year the rate of interest is 𝑥 3 % What is the value of Danny’s investment at the end of 2 years? £. £. (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: November 2017 Paper 3, Q9 Phil bought a new car for £14 500 The value, £V, of Phil’s car at the end of n years is given by the formula V = 14 500 x (0.85)n At the end of how many years was the value of Phil’s car less than 50% of the value of the car when it was new? (2) A savings account pays interest at a rate of R% per year. Phil invests £6500 in the account for one year. At the end of the year, Phil pays tax on the interest at a rate of 30%. After paying tax, he gets £118.30 (b) Work out the value of R. (3) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: November 2017 Paper 2, Q13 At the beginning of 2010, Mrs Joyce bought a company. The value of the company was £60 000 Each year the value of the company increased by 3%. Calculate the value of the company at the beginning of 2018 Give your answer to the nearest £100 £ (2) At the beginning of 2010 the value of a different company was £450 000 In 6 years the value of the company increased to £630 000 This is equivalent to an increase of x% each year. Find the value of x. Give your answer correct to 2 significant figures. (2) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: June 2018 Paper 2, Q9 1 Danny invests £14 000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year the value of Danny’s investment is £14 462 In the second year the rate of interest is 𝑥 3 % What is the value of Danny’s investment at the end of 2 years? £. (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: June 2017 Paper 3, Q10 1 Mark invests £7000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8516.57 Work out the value of x. 7000 x 𝑦5 = 8516.57 𝑦 = 1.039999 So 𝑥 = 4% 𝑦5 = 8516.57 7000 𝑦 = 5 8516.57 7000 = 1.039999 4 (Total for Question 1 is 3 marks)

GCSE Edexcel Higher: November 2017 Paper 3, Q9 1 Phil bought a new car for £14 500 The value, £V, of Phil’s car at the end of n years is given by the formula V = 14 500 x (0.85)n At the end of how many years was the value of Phil’s car less than 50% of the value of the car when it was new? 50% of £14500 = 7250 N = 1 V = 12325 N = 2 V = 10476.25 N = 3 V = 8904.81 N = 4 V = 7569.09 N = 5 V = 6433.73 5 years (2) A savings account pays interest at a rate of R% per year. Phil invests £6500 in the account for one year. At the end of the year, Phil pays tax on the interest at a rate of 30%. After paying tax, he gets £118.30 (b) Work out the value of R. 70% of interest = 118.30 10% = 16.90 100% of interest = 169 Find as a percentage of original amount 169 6500 x 100 = 2.6% 2.6 (3) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: November 2017 Paper 2, Q13 1 At the beginning of 2010, Mrs Joyce bought a company. The value of the company was £60 000 Each year the value of the company increased by 3%. Calculate the value of the company at the beginning of 2018 Give your answer to the nearest £100 8 years. 60,000 x 1.038 = 76006.20 = 76000 (Nearest £100) 76 000 £ (2) At the beginning of 2010 the value of a different company was £450 000 In 6 years the value of the company increased to £630 000 This is equivalent to an increase of x% each year. Find the value of x. Give your answer correct to 2 significant figures. 630,000 = 450,000 x (multiplier)6 (multiplier) 6 = 630,000 ÷ 450,000 (multiplier) 6 = 1.4 (multiplier) = 6 1.4 = 1.05768… Interest = 0.05768 = 5.768% 5.8% (2) (Total for Question 1 is 5 marks)

Interest in first year = 14462 – 14000 = 462 GCSE Edexcel Higher: June 2018 Paper 2, Q9 1 Danny invests £14 000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year the value of Danny’s investment is £14 462 In the second year the rate of interest is 𝑥 3 % What is the value of Danny’s investment at the end of 2 years? Interest in first year = 14462 – 14000 = 462 Interest rate = 462 14000 ×100=3.3 % Interest rate in second year = 3.3 ÷ 3 = 1.1% Total = 14462 x 1.011 = 14621.082 £14621.08 £. (Total for Question 1 is 4 marks)

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