Repeated Percentage Change: Fluency and Exam Drill - Worksheets, Questions and Revision

25 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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6.4D Repeated Percentage Change: Fluency and Exam Drill

EDEXCEL 1MA1 · Calculator allowed · about 70 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write down the single decimal multiplier for a percentage increase of 8%.
(Total for Question 1 is 1 mark)
2
Write down the single decimal multiplier for a percentage decrease of 15%.
(Total for Question 2 is 1 mark)
3
Write down the single decimal multiplier for a percentage increase of 3.5%.
(Total for Question 3 is 1 mark)
4
Write down the single decimal multiplier for a percentage decrease of 22%.
(Total for Question 4 is 1 mark)
5
A shop increases the price of a jacket by 20%. In a later sale, the new price is decreased by 20%. Explain why the sale price is not equal to the original price, and state whether the sale price is higher or lower than the original price.
(Total for Question 5 is 2 marks)
6
The price of a laptop is £40. It increases by 5% per year for 2 years. Calculate the new price.
(Total for Question 6 is 2 marks)
7
A car is worth £12,000. It depreciates by 10% each year. Find its value after 2 years.
(Total for Question 7 is 2 marks)
8
£2,500 is invested for 3 years at 3% per annum compound interest. Calculate the total value of the investment at the end of 3 years, to the nearest penny.
(Total for Question 8 is 2 marks)
9
A population of bacteria increases by 20% every hour. The starting population is 500. Find the population after 3 hours.
(Total for Question 9 is 2 marks)
10
A tool costs £850 new. It depreciates by 12% per year. Find its value after 2 years, to the nearest penny.
(Total for Question 10 is 2 marks)
11
Write down the single decimal multiplier that is equivalent to two successive percentage increases of 10% and then 5%.
(Total for Question 11 is 2 marks)
12
A quantity of 60 kg decreases by 8% and then increases by 8%. Calculate the final quantity, correct to 1 decimal place.
(Total for Question 12 is 2 marks)
13
£3,000 is invested at 2.5% per annum compound interest. Find the value of the investment after 4 years, to the nearest penny.
(Total for Question 13 is 2 marks)
14
A house is valued at £180,000. Its value increases by 4% each year for 2 years. Find its new value.
(Total for Question 14 is 2 marks)
15
A phone costs £900 new. It loses 18% of its value each year. Find its value after 2 years, to the nearest penny.
(Total for Question 15 is 2 marks)
16
Savings of £1,200 earn compound interest at 1.8% per annum. Find the value of the savings after 5 years, to the nearest penny.
(Total for Question 16 is 2 marks)
17
A car is bought for £18,500. It depreciates by 15% in the first year, and then by 10% in each subsequent year. Calculate its value after 3 years, giving your answer to the nearest pound.
(Total for Question 17 is 3 marks)
18
Priya invests £4,000 in a savings account paying 2.2% compound interest per annum. Work out how much interest (not the total value) she has earned after 3 years. Give your answer to the nearest penny.
(Total for Question 18 is 3 marks)
19
A company's profit increased by 10% in Year 1, then decreased by 10% in Year 2.
(a)The starting profit was £180,000. Calculate the profit at the end of Year 2.(2)
(b)State, with a calculation to support your answer, whether the profit has returned to its starting value of £180,000.(2)
(Total for Question 19 is 4 marks)
20
The value of a rare coin increases by 7% each year. After 2 years its value is £2,289.80. Find its original value.
(Total for Question 20 is 3 marks)
21
Aisha invests £6,000 for 3 years. Option A pays simple interest at 4% per annum. Option B pays compound interest at 3.6% per annum. Determine which option gives Aisha more money after 3 years, and find the difference between the final amounts, to the nearest penny.
(Total for Question 21 is 4 marks)
22
A van is bought for £24,000. Three years later it is valued at £14,739. It depreciated by the same percentage each year. Find the annual percentage rate of depreciation.
(Total for Question 22 is 4 marks)
23
The population of a town is 42,000. The population is increasing by 2% each year.
(a)Show that the population after 2 years, rounded to the nearest 10, is 43,700.(2)
(b)The council needs to plan for when the population first exceeds 46,000. Find the number of complete years after which this happens.(4)
(Total for Question 23 is 6 marks)
24
An investment of £5,000 grows at 2.5% compound interest per annum. Find the minimum number of complete years for the investment to first exceed £6,000.
(Total for Question 24 is 5 marks)
25
A quantity increases by x% and is then decreased by the same x%.
(a)Show algebraically that a percentage increase of x% followed by a percentage decrease of x% gives an overall multiplier of 1 - x2/10000, and that this is always an overall decrease of x2/100 %, for any positive value of x.(4)
(b)Find the overall percentage decrease when x = 15.(2)
(Total for Question 25 is 6 marks)
Mark scheme · 6.4D Repeated Percentage Change: Fluency and Exam Drill

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25