Find 10% of £340, then use your answer to find 40% of £340.
(Total for Question 4 is 2 marks)
5
A pizza is cut into 8 equal slices. Kwame eats 3 of the slices. What percentage of the pizza does he eat?
A) 3%
B) 8%
C) 30%
D) 37.5%
E) 62.5%
(Total for Question 5 is 1 mark)
6
Calculate 65% of 220 kg.
A) 55 kg
B) 110 kg
C) 132 kg
D) 143 kg
E) 154 kg
(Total for Question 6 is 1 mark)
7
Which of the following is NOT equal to 75%?
A) 3/4
B) 0.75
C) 15/20
D) 7/10
E) 30/40
(Total for Question 7 is 1 mark)
8
In a survey of 60 people in Preston, 42 said they preferred tea to coffee. What percentage preferred tea?
A) 42%
B) 60%
C) 70%
D) 30%
E) 84%
(Total for Question 8 is 1 mark)
9
A shop has 250 items in stock. 18% of the items are damaged. How many items are damaged?
A) 18
B) 20
C) 45
D) 50
E) 63
(Total for Question 9 is 1 mark)
10
A jacket priced at £72 is increased in price by 25%. Work out the new price of the jacket.
(Total for Question 10 is 3 marks)
11
A pair of trainers costs £85. In a sale they are reduced by 40%. Find the sale price of the trainers.
(Total for Question 11 is 3 marks)
12
A school trip costs £48 per pupil. The school offers a 15% discount for pupils who book online. What is the discounted price?
A) £7.20
B) £33
C) £40.80
D) £43.20
E) £55.20
(Total for Question 12 is 1 mark)
13
Rhys has 24 marbles. 25% of them are red and the rest are blue. How many blue marbles does he have?
A) 6
B) 12
C) 16
D) 18
E) 20
(Total for Question 13 is 1 mark)
14
Put these four values in order of size, starting with the smallest: 3/5, 61%, 0.62, 5/8
(Total for Question 14 is 3 marks)
15
A printer uses 90 ml of ink to print 300 leaflets. A school needs to print 480 leaflets using the same printer.
(a)What percentage of the original print run of 300 leaflets is 480 leaflets?(2)
(b)Calculate how much ink is needed to print 480 leaflets.(2)
(Total for Question 15 is 4 marks)
16
A gym membership costs £40 per month. The price rises by 15%. What is the new monthly price?
A) £6
B) £34
C) £44
D) £46
E) £50
(Total for Question 16 is 1 mark)
17
Isla's monthly phone bill was £32. Her new contract increases the bill by 20%, but she also gets a £4 loyalty discount taken off after the increase. Work out her final monthly bill.
(Total for Question 17 is 3 marks)
18
Last year, 55% of pupils at a school cycled to school. This year, the figure rose to 60%. Which statement is correct?
A) The percentage of pupils cycling rose by 5%.
B) The percentage of pupils cycling rose by 5 percentage points.
C) The percentage of pupils cycling rose by 60%.
D) The percentage of pupils cycling rose by about 9.1 percentage points.
E) The percentage of pupils cycling more than doubled.
(Total for Question 18 is 1 mark)
19
A cafe increases the price of a sandwich from £3.20 to £3.68. Calculate the percentage increase.
(Total for Question 19 is 3 marks)
20
A borrower takes out a loan of £600 at 6% simple interest per year. How much interest is owed after 2 years?
A) £36
B) £48
C) £74.16
D) £72
E) £636
(Total for Question 20 is 1 mark)
21
After a pay cut of 20%, Tariq's monthly salary is £1,440. Calculate his monthly salary before the pay cut.
(Total for Question 21 is 3 marks)
22
A shop increases all its prices by 8%. A bicycle now costs £378 after the increase. Calculate the original price of the bicycle before the increase.
(Total for Question 22 is 3 marks)
23
A price is decreased by 10% and then increased by 20%. Which single percentage change is equivalent to applying both changes in order?
A) 10% increase
B) 8% increase
C) 8% decrease
D) 30% increase
E) No change (0%)
(Total for Question 23 is 1 mark)
24
In a sale, a sofa's price is reduced by 30% to £504. Chidinma has a loyalty card that gives a further 5% off the already-reduced sale price. Calculate the price Chidinma pays, and calculate the overall percentage reduction from the original price.
(Total for Question 24 is 5 marks)
25
A price is increased by 40% and then decreased by 40%. Show that the final price is less than the original price, and find the overall percentage change.
(Total for Question 25 is 3 marks)
26
A charity raises money over three days. On day 1 it raises £850. On day 2 it raises 20% more than day 1. On day 3 it raises 15% less than day 2. Calculate the total amount raised over the three days.
(Total for Question 26 is 4 marks)
Mark scheme · EP.M5B Percentages: Practice Set 2
Question 1
B1 C) 60% cao
Answer: 60%
Question 2
B1 B) 85% cao
Answer: 85%
Question 3
B1 C) 2/5 cao
Answer: 2/5
Question 4
M1 10% of 340 found (= 34)
A1 £136 cao
Answer: £136
Question 5
B1 D) 37.5% cao
Answer: 37.5%
Question 6
B1 D) 143 kg cao
Answer: 143 kg
Question 7
B1 D) 7/10 cao (7/10 = 70%, not 75%)
Answer: 7/10
Question 8
B1 C) 70% cao
Answer: 70%
Question 9
B1 C) 45 cao
Answer: 45
Question 10
M1 25% of 72 found (= 18), e.g. via 72 / 4
M1 dep: 72 + their 25% increase
A1 £90 cao
Answer: £90
Question 11
M1 40% of 85 found (= 34), e.g. via 10% = 8.50
M1 dep: 85 - their 40% reduction
A1 £51 cao
Answer: £51
Question 12
B1 C) £40.80 cao
Answer: £40.80
Question 13
B1 D) 18 cao
Answer: 18
Question 14
M1 at least three values correctly converted to a common form (e.g. decimals: 0.6, 0.61, 0.62, 0.625)
A1 all four values correctly converted
A1 3/5, 61%, 0.62, 5/8 cao, in this order
Answer: 3/5, 61%, 0.62, 5/8
Question 15
(a) M1 480/300 oe seen
(a) A1 160% cao
(a) Answer: 160%
(b) M1 90 x 1.6 oe (ft from part a as a decimal multiplier)
(b) A1 144 ml cao
(b) Answer: 144 ml
Question 16
B1 D) £46 cao
Answer: £46
Question 17
M1 20% of 32 found (= 6.40)
M1 dep: 32 + 6.40, then subtract 4
A1 £34.40 cao
Answer: £34.40
Question 18
B1 B) cao
Answer: B) The percentage of pupils cycling rose by 5 percentage points.