Percentages: Fluency and Exam Drill - Worksheets, Questions and Revision

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

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GCSE · EDEXCEL

3.7D Percentages: Fluency and Exam Drill

EDEXCEL 1MA1 · Calculator allowed · about 80 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Work out 12% of 450 pounds.
(Total for Question 1 is 2 marks)
2
Out of 40 tomato plants in Mrs Whitfield's greenhouse, 18 produce ripe fruit before the end of July. Write 18 out of 40 as a percentage.
(Total for Question 2 is 2 marks)
3
Increase 160 by 35%.
(Total for Question 3 is 2 marks)
4
Decrease 90 by 8%.
(Total for Question 4 is 2 marks)
5
A laptop has a price of 540 pounds before VAT. VAT is charged at 20%. Work out the total price of the laptop including VAT.
(Total for Question 5 is 2 marks)
6
Kwame puts 1200 pounds into a savings account that pays 2.5% simple interest per year. Work out the total interest he earns after 5 years.
(Total for Question 6 is 2 marks)
7
A denim jacket is normally priced at 64 pounds. In a clearance sale it is reduced to 48 pounds. Work out the percentage decrease in the price.
(Total for Question 7 is 3 marks)
8
After a price increase of 20%, a mountain bike now costs 252 pounds. Work out the original price of the bike, before the increase.
(Total for Question 8 is 3 marks)
9
Daniel buys a second-hand table for 85 pounds. He restores it and sells it for 102 pounds. Work out his percentage profit.
(Total for Question 9 is 3 marks)
10
A secondary school has 1200 students. 55% of the students are girls. Of the girls, 40% study French. Work out how many girls study French.
(Total for Question 10 is 3 marks)
11
Aisha invests 2500 pounds in an account paying 3% compound interest per year. Work out the value of her investment at the end of 4 years. Give your answer to the nearest penny.
(Total for Question 11 is 3 marks)
12
Sophie buys a car for 18000 pounds. The car depreciates in value by 12% each year. Work out the value of the car after 3 years. Give your answer to the nearest pound.
(Total for Question 12 is 3 marks)
13
In a sale, a shop reduces every price by 15%. The sale price of a jumper is 39.10 pounds. Work out the original price of the jumper, before the sale.
(Total for Question 13 is 3 marks)
14
Liam works out 30% of 150 by calculating 150 - 30 = 120. He says the answer is 120.
(a)Explain the mistake in Liam's method.(2)
(b)Work out the correct value of 150 reduced by 30%.(2)
(Total for Question 14 is 4 marks)
15
A shop increases the price of a television by 20%. In a later sale, it decreases the new price by 20%.
(a)Using p pounds for the original price, show that the final price is 0.96p pounds, and state the overall percentage change.(3)
(b)Explain why the overall change is not 0%, even though one percentage is an increase of 20% and the other is a decrease of 20%.(1)
(Total for Question 15 is 4 marks)
16
A furniture shop applies two successive discounts to the price of a sofa: first 10% off, then a further 15% off the reduced price. After both discounts, the sofa costs 91.80 pounds. Work out the original price of the sofa.
(Total for Question 16 is 4 marks)
17
A price of 270 pounds includes VAT at 20%. A shop removes the VAT to find the pre-VAT price, then applies a separate 10% loyalty-card discount to that pre-VAT price.
(a)Work out the price before VAT was added.(2)
(b)Work out the final price a loyalty-card customer pays, after the 10% discount is applied to the pre-VAT price.(2)
(Total for Question 17 is 4 marks)
18
A painting is currently worth 5000 pounds. Its value is expected to increase by 8% each year. Find the number of complete years it takes for the value of the painting to first be worth more than 7000 pounds.
(Total for Question 18 is 4 marks)
19
A bacteria population starts at 800 and increases by 25% every hour.
(a)Work out the population after 6 hours. Give your answer to 3 significant figures.(3)
(b)Work out the overall percentage increase in the population over the 6 hours. Give your answer to 3 significant figures.(2)
(Total for Question 19 is 5 marks)
20
Priya invests 4000 pounds on 01/09/2025. For the first year the account pays 2.5% compound interest. For the second year the rate rises to 3.2% compound interest.
(Total for Question 20 is 3 marks)
21
The price of an item is increased by x%. It is then decreased by x%. The final price is 4% less than the original price.
(Total for Question 21 is 4 marks)
22
A company's revenue increases by 15% in Year 1. In Year 2, the revenue decreases by r%. Over the two years, the overall change in revenue is a decrease of 6%.
(Total for Question 22 is 4 marks)
Mark scheme · 3.7D Percentages: 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