Percentages: Practice Set 3 - Worksheets, Questions and Revision

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

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11+ · Number and Percentages

EP.M49 Percentages: Practice Set 3

GL ASSESSMENT GL · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Which fraction is equivalent to 55%?
  • A) 11/20
  • B) 9/20
  • C) 1/2
  • D) 11/25
  • E) 5/11
(Total for Question 1 is 1 mark)
2
Which decimal is equal to 8%?
  • A) 0.008
  • B) 0.08
  • C) 0.8
  • D) 8.0
  • E) 80
(Total for Question 2 is 1 mark)
3
Write 90% as a fraction in its simplest form.
(Total for Question 3 is 1 mark)
4
Convert 3/20 to a percentage.
(Total for Question 4 is 1 mark)
5
Complete the following conversions between fractions, decimals and percentages.
(a)Write 9/25 as a percentage.(1)
(b)Write 0.28 as a fraction in its simplest form.(1)
(c)Write 6% as a decimal.(1)
(Total for Question 5 is 3 marks)
6
Find 10% of £560.
(Total for Question 6 is 1 mark)
7
Find 24% of 350.
(Total for Question 7 is 2 marks)
8
Find 38% of £250.
(Total for Question 8 is 2 marks)
9
A running club has 175 members. 36% of the members are under 16. How many members are under 16?
(Total for Question 9 is 2 marks)
10
A pair of running shoes is priced at £70. They are reduced by 30% in a sale. What is the sale price?
  • A) £21
  • B) £40
  • C) £42
  • D) £49
  • E) £91
(Total for Question 10 is 1 mark)
11
A tablet computer costs £350. Its price increases by 12%. Find the new price.
(Total for Question 11 is 3 marks)
12
A games console is reduced from £180 to £153. Find the percentage decrease.
(Total for Question 12 is 3 marks)
13
Which is greater, 7/20 or 34%?
  • A) 7/20
  • B) 34%
  • C) They are equal
  • D) 7/20 is smaller than 34%
  • E) Cannot be determined without a calculator
(Total for Question 13 is 1 mark)
14
The price of a cinema ticket rises from £6 to £7.50. Calculate the percentage increase.
(Total for Question 14 is 3 marks)
15
Jamal scored 51 out of 60 in a spelling test. What percentage did he score?
(Total for Question 15 is 2 marks)
16
A charity shop had 340 items of clothing in stock. On Saturday, 20% of the items were sold. On Sunday, a further 34 items were sold.
(a)How many items were sold on Saturday?(1)
(b)How many items remain in stock after Sunday?(2)
(Total for Question 16 is 3 marks)
17
A garden centre sells a greenhouse for £220. In a sale, the price is reduced by 15%.
(a)Calculate the amount of the discount.(1)
(b)Calculate the sale price.(1)
(c)A customer says, 'That's less than a fifth off.' Is the customer correct? Explain your answer using percentages.(1)
(Total for Question 17 is 3 marks)
18
After a price increase of 20%, a bicycle costs £108. Find the original price.
(Total for Question 18 is 3 marks)
19
Meera buys a set of headphones in a sale. They have been reduced by 30% and now cost £91. What was the original price of the headphones?
(Total for Question 19 is 3 marks)
20
A shop increases the price of a rucksack by 20%. A month later, the increased price is reduced by 15% in a sale.
(a)The rucksack originally cost £45. Find the price after the 20% increase.(1)
(b)Find the price after the 15% decrease is applied to £54.(2)
(c)Is the final price the same as the original £45? State the difference.(1)
(Total for Question 20 is 4 marks)
21
Deepak invests £480 in a savings account that pays 5% simple interest per year. How much interest will he earn after 2 years?
(Total for Question 21 is 3 marks)
22
In a survey of 360 residents, 70% said they recycle regularly. Of these residents, 25% said they also compost food waste. How many residents both recycle regularly and compost food waste?
(Total for Question 22 is 3 marks)
23
A record shop sells a turntable for £160. Two deals are available. Deal A: 15% off, then a further £8 off. Deal B: 20% off.
(a)Find the final price under Deal A.(2)
(b)Find the final price under Deal B.(1)
(c)Which deal is cheaper? Explain your answer.(1)
(Total for Question 23 is 4 marks)
24
A bakery's weekly revenue was £3,200 in Week 1. In Week 2, revenue increased by 15% compared with Week 1. In Week 3, revenue decreased by 8% compared with Week 2.
(a)Calculate the revenue in Week 2.(2)
(b)Calculate the revenue in Week 3.(2)
(Total for Question 24 is 4 marks)
Mark scheme · EP.M49 Percentages: Practice Set 3

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