Complete the following conversions between fractions, decimals and percentages.
(a)Write 19/20 as a percentage.(1)
(b)Write 0.56 as a fraction in its simplest form.(1)
(c)Write 18% as a decimal.(1)
(Total for Question 5 is 3 marks)
6
Find 10% of £740.
(Total for Question 6 is 1 mark)
7
Find 32% of 450.
(Total for Question 7 is 2 marks)
8
Find 46% of £350.
(Total for Question 8 is 2 marks)
9
A choir has 180 members. 35% of the members are sopranos. How many members are sopranos?
(Total for Question 9 is 2 marks)
10
A tablet computer is priced at £90. It is reduced by 20% in a sale. What is the sale price?
A) £18
B) £63
C) £70
D) £72
E) £108
(Total for Question 10 is 1 mark)
11
A drone costs £220. Its price increases by 15%. Find the new price.
(Total for Question 11 is 3 marks)
12
A washing machine is reduced from £340 to £289. Find the percentage decrease.
(Total for Question 12 is 3 marks)
13
Which is greater, 9/40 or 23%?
A) 9/40
B) 23%
C) They are equal
D) 9/40 is greater than 23%
E) Cannot be determined without a calculator
(Total for Question 13 is 1 mark)
14
The price of a bus pass rises from £45 to £54. Calculate the percentage increase.
(Total for Question 14 is 3 marks)
15
Fatima scored 39 out of 50 in a geography test. What percentage did she score?
(Total for Question 15 is 2 marks)
16
A charity bookshop had 260 books in stock. On Friday, 15% of the books were sold. On Saturday, a further 26 books were sold.
(a)How many books were sold on Friday?(1)
(b)How many books remain in stock after Saturday?(2)
(Total for Question 16 is 3 marks)
17
A garden centre sells a shed for £350. In a sale, the price is reduced by 12%.
(a)Calculate the amount of the discount.(1)
(b)Calculate the sale price.(1)
(c)A customer says, 'That's more than a tenth off.' Is the customer correct? Explain your answer using percentages.(1)
(Total for Question 17 is 3 marks)
18
After a price increase of 25%, a scooter costs £175. 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 40% and now cost £96. What was the original price of the headphones?
(Total for Question 19 is 3 marks)
20
A shop increases the price of a coat by 30%. A month later, the increased price is reduced by 20% in a sale.
(a)The coat originally cost £50. Find the price after the 30% increase.(1)
(b)Find the price after the 20% decrease is applied to £65.(2)
(c)Is the final price the same as the original £50? State the difference.(1)
(Total for Question 20 is 4 marks)
21
Oliver invests £650 in a savings account that pays 4% simple interest per year. How much interest will he earn after 3 years?
(Total for Question 21 is 3 marks)
22
In a survey of 400 residents in Cardiff, 65% said they use the local recycling centre. Of these residents, 40% said they visit weekly. How many residents both use the recycling centre and visit weekly?
(Total for Question 22 is 3 marks)
23
A furniture shop sells a desk for £240. Two deals are available. Deal A: 20% off, then a further £12 off. Deal B: 25% 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 cafe's weekly takings were £2,500 in Week 1. In Week 2, takings increased by 12% compared with Week 1. In Week 3, takings decreased by 15% compared with Week 2.
(a)Calculate the takings in Week 2.(2)
(b)Calculate the takings in Week 3.(2)
(c)Calculate the overall percentage change in takings from Week 1 to Week 3.(1)
(Total for Question 24 is 5 marks)
Mark scheme · EP.M66 Percentages: Practice Set 4
Question 1
B1 A) 13/20 cao
Answer: 13/20
Question 2
B1 B) 0.04 cao
Answer: 0.04
Question 3
B1 17/25 oe cao
Answer: 17/25
Question 4
B1 44% cao
Answer: 44%
Question 5
(a) B1 95% cao
(a) Answer: 95%
(b) B1 14/25 oe cao
(b) Answer: 14/25
(c) B1 0.18 cao
(c) Answer: 0.18
Question 6
B1 £74 cao
Answer: £74
Question 7
M1 10% of 450 found (= 45), used to build 32% (oe)
A1 144 cao
Answer: 144
Question 8
M1 10% of 350 found (= 35), used to build 46% (oe)
A1 £161 cao
Answer: £161
Question 9
M1 10% of 180 found (= 18), used to build 35% (oe)
A1 63 cao
Answer: 63
Question 10
B1 D) £72 cao
Answer: £72
Question 11
M1 10% of 220 found (= 22), used to build 15% (= 33) (oe)
M1 dep: 220 + their 15% increase
A1 £253 cao
Answer: £253
Question 12
M1 decrease found (= 340 - 289 = 51)
M1 dep: their 51 / 340 oe seen
A1 15% cao
Answer: 15%
Question 13
B1 B) 23% cao
Answer: 23% (9/40 = 22.5%)
Question 14
M1 increase found (= 54 - 45 = 9)
M1 dep: their 9 / 45 oe seen
A1 20% cao
Answer: 20%
Question 15
M1 39/50 oe seen
A1 78% cao
Answer: 78%
Question 16
(a) B1 39 cao
(a) Answer: 39
(b) M1 260 - their 39 (= 221) found (ft from part a)
(b) A1 195 cao (ft)
(b) Answer: 195
Question 17
(a) B1 £42 cao
(a) Answer: £42
(b) B1 £308 cao (ft from part a)
(b) Answer: £308
(c) B1 Yes, correct (oe), with a valid comparison, e.g. 12% > 10%
(c) Answer: Yes; 12% is more than a tenth (10%), so the customer is correct.