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
B1 A) 11/20 cao
Answer: 11/20
Question 2
B1 B) 0.08 cao
Answer: 0.08
Question 3
B1 9/10 cao
Answer: 9/10
Question 4
B1 15% cao
Answer: 15%
Question 5
(a) B1 36% cao
(a) Answer: 36%
(b) B1 7/25 cao
(b) Answer: 7/25
(c) B1 0.06 cao
(c) Answer: 0.06
Question 6
B1 £56 cao
Answer: £56
Question 7
M1 10% of 350 found (= 35), used to build 24% (oe)
A1 84 cao
Answer: 84
Question 8
M1 10% of 250 found (= 25), used to build 38% (oe)
A1 £95 cao
Answer: £95
Question 9
M1 10% of 175 found (= 17.5), used to build 36% (oe)
A1 63 cao
Answer: 63
Question 10
B1 D) £49 cao
Answer: £49
Question 11
M1 10% of 350 found (= 35), used to build 12% (= 42) (oe)
M1 dep: 350 + their 12% increase
A1 £392 cao
Answer: £392
Question 12
M1 decrease found (= 180 - 153 = 27)
M1 dep: their 27 / 180 oe seen
A1 15% cao
Answer: 15%
Question 13
B1 A) 7/20 cao
Answer: 7/20 (35%) is greater than 34%
Question 14
M1 increase found (= 7.50 - 6 = 1.50)
M1 dep: their 1.50 / 6 oe seen
A1 25% cao
Answer: 25%
Question 15
M1 51/60 oe seen
A1 85% cao
Answer: 85%
Question 16
(a) B1 68 cao
(a) Answer: 68
(b) M1 340 - their 68 (= 272) found (ft from part a)
(b) A1 238 cao (ft)
(b) Answer: 238
Question 17
(a) B1 £33 cao
(a) Answer: £33
(b) B1 £187 cao (ft from part a)
(b) Answer: £187
(c) B1 Yes, correct (oe), with a valid comparison, e.g. 15% < 20%
(c) Answer: Yes; 15% is less than a fifth (20%), so the customer is correct.