Percentages - Worksheets, Questions and Revision

21 original exam-style questions - 8 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 9)Read the revision guide
« Previous: Decimals: Practice Set 2Next: Percentages: Practice Set 2 »
Revision Library
revisionlibrary.co.uk
11+ · Number and Percentages

EP.M5 Percentages

GL-ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 55 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Complete the following conversions between fractions, decimals and percentages.
(a)Write 7/10 as a percentage.(1)
(b)Write 0.35 as a percentage.(1)
(c)Write 45% as a decimal.(1)
(Total for Question 1 is 3 marks)
2
Find the following percentages of amounts without using a calculator.
(a)Find 10% of 250 g.(1)
(b)Find 25% of 96 ml.(1)
(c)Find 50% of L48.(1)
(Total for Question 2 is 3 marks)
3
Use known percentages (such as 10% and 5%) to build up other percentages. Show your method for each part.
(a)Calculate 15% of 60 kg.(2)
(b)Calculate 35% of 80 minutes.(2)
(Total for Question 3 is 4 marks)
4
Which of the following is equivalent to 3/8?
  • A) 37.5%
  • B) 35%
  • C) 38%
  • D) 40%
(Total for Question 4 is 1 mark)
5
Answer the following questions about one quantity as a percentage of another.
(a)Express 18 out of 40 as a percentage.(2)
(b)In a class of 32 pupils, 20 are girls. What percentage of the class are boys?(3)
(Total for Question 5 is 5 marks)
6
Write these four values in order of size, starting with the smallest: 7/25, 0.37, 36%, 7/20.
(Total for Question 6 is 2 marks)
7
Priya buys a coat priced at L80. The shop increases the price of the coat by 15%. Work out the new price of the coat.
(Total for Question 7 is 3 marks)
8
A jacket costs L64. In a sale it is reduced by 30%. Find the sale price of the jacket.
(Total for Question 8 is 3 marks)
9
A recipe for 8 people requires 320 g of flour. Grace wants to make the recipe for 10 people.
(a)What percentage of the original recipe does Grace need to make?(2)
(b)Calculate how much flour Grace needs to make the recipe for 10 people.(2)
(Total for Question 9 is 4 marks)
10
Two shops sell the same jumper. Shop A prices the jumper at L45 and offers 20% off. Shop B prices the same jumper at L50 and offers 30% off.
(a)Calculate the sale price at Shop A.(2)
(b)Calculate the sale price at Shop B.(2)
(c)State which shop offers the better deal, and by how much.(1)
(Total for Question 10 is 5 marks)
11
The population of a village was 2,400 in 2020. By 2024 the population had increased by 12%. Calculate the population of the village in 2024.
(Total for Question 11 is 3 marks)
12
Tomasz invests L500 in a savings account that pays 4% simple interest per year.
(a)Calculate the interest earned after 3 years.(3)
(b)Work out the total amount in the account after 3 years.(1)
(Total for Question 12 is 4 marks)
13
After a pay rise of 20%, Aisha's annual salary is L30,000. Calculate her annual salary before the pay rise.
(Total for Question 13 is 3 marks)
14
A shop reduces all its prices by 15% in a sale. A jacket now costs L51 in the sale. Calculate the original price of the jacket before the sale.
(Total for Question 14 is 3 marks)
15
In January, 40% of the pupils at a school walked to school. In February, this rose to 44%.
(a)Calculate the increase in percentage points from January to February.(1)
(b)Calculate the percentage increase in the proportion of pupils walking to school (as a percentage of the original 40%).(3)
(Total for Question 15 is 4 marks)
16
A school has 300 pupils. 60% of the pupils are girls.
(a)Calculate the number of girls at the school.(2)
(b)20% of the girls and 25% of the boys walk to school. Calculate the total number of pupils who walk to school.(4)
(Total for Question 16 is 6 marks)
17
A price of L200 is increased by 10%. The new price is then decreased by 10%.
(a)Work out the final price.(3)
(b)Explain why the final price is not equal to the original price of L200.(2)
(Total for Question 17 is 5 marks)
18
A laptop priced at L600 is first reduced by 20%. A student discount of a further 10% is then applied to the reduced price.
(a)Calculate the final price of the laptop.(3)
(b)A sales assistant claims that a 20% discount followed by a 10% discount is the same as a single 30% discount. Show that the assistant is wrong, and find the single percentage discount that is equivalent to the two discounts combined.(4)
(Total for Question 18 is 7 marks)
19
Farida buys and sells vintage bicycles.
(a)She buys a bicycle for L150 and sells it for L180. Calculate her percentage profit.(3)
(b)She buys another bicycle for L220 and sells it for L187. Calculate her percentage loss.(3)
(Total for Question 19 is 6 marks)
20
A cafe's electricity bill before tax was L120. A tax of 5% is added to the bill.
(a)Calculate the total bill, including tax.(2)
(b)The following year, the pre-tax bill rises to L150 and the tax rate rises to 8%. Calculate the increase in the total bill (including tax) from the previous year to this year.(4)
(Total for Question 20 is 6 marks)
21
A price is increased by 25%. The new price is then decreased by 20%. Show that the final price is equal to the original price, whatever the starting price was.
(Total for Question 21 is 3 marks)
Mark scheme · EP.M5 Percentages

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