Complete the following conversions between fractions, decimals and percentages.
(a)Write 23/25 as a percentage.(1)
(b)Write 0.72 as a fraction in its simplest form.(1)
(c)Write 34% as a decimal.(1)
(Total for Question 5 is 3 marks)
6
Find 10% of £860.
(Total for Question 6 is 1 mark)
7
Find 28% of 650.
(Total for Question 7 is 2 marks)
8
Find 64% of £175.
(Total for Question 8 is 2 marks)
9
A drama club has 220 members. 45% of the members are under 14 years old. How many members are under 14?
(Total for Question 9 is 2 marks)
10
A pair of trainers is priced at £85. They are reduced by 20% in a sale. What is the sale price?
A) £17
B) £59.50
C) £65
D) £68
E) £102
(Total for Question 10 is 1 mark)
11
An electric scooter is priced at £480. Its price increases by 15%. Find the new price.
(Total for Question 11 is 3 marks)
12
A secondhand bookshop had 340 items in stock. On Monday, 25% of the items were sold. On Tuesday, a further 34 items were sold.
(a)How many items were sold on Monday?(1)
(b)How many items remain in stock after Tuesday?(2)
(Total for Question 12 is 3 marks)
13
A laptop bag is reduced from £260 to £221. Find the percentage decrease.
(Total for Question 13 is 3 marks)
14
A coat is reduced by 35% in a sale and now costs £91. What was the original price of the coat?
(Total for Question 14 is 3 marks)
15
A camping shop sells a tent for £260. 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, 'The discount is more than a seventh of the original price.' Is the customer correct? Explain your answer.(1)
(d)Express the discount as a fraction of the original price, giving your answer in its simplest form.(1)
(Total for Question 15 is 4 marks)
16
Simplify the ratio 42 : 56 to its simplest form.
A) 3 : 4
B) 6 : 8
C) 7 : 8
D) 21 : 28
E) 4 : 3
(Total for Question 16 is 1 mark)
17
A market stall has 16 blueberry muffins and 24 bran muffins. Write the ratio of blueberry muffins to bran muffins in its simplest form.
(Total for Question 17 is 1 mark)
18
Complete the missing number: 5 : 9 = 30 : ___
(Total for Question 18 is 1 mark)
19
Which of these ratios is NOT equivalent to 7 : 9?
A) 14 : 18
B) 21 : 27
C) 28 : 36
D) 35 : 46
(Total for Question 19 is 1 mark)
20
Simplify the ratio 1.2 : 4.8 to its simplest whole-number form.
(Total for Question 20 is 1 mark)
21
Callum and Nadia share 108 stickers in the ratio 7 : 5. Calculate how many stickers Nadia receives.
(Total for Question 21 is 2 marks)
22
A hamper contains ginger biscuits and oat biscuits in the ratio 7 : 13. Calculate what percentage of the biscuits are ginger biscuits.
(Total for Question 22 is 2 marks)
23
y is directly proportional to x. When x = 8, y = 30. Calculate the value of y when x = 20.
(Total for Question 23 is 2 marks)
24
A pancake recipe for 4 people uses 200 g of flour, 3 eggs, 150 ml of milk and 50 g of butter. The recipe is scaled up for 12 people.
(a)Calculate the mass of flour needed for 12 people.(1)
(b)Calculate the number of eggs needed for 12 people.(1)
(c)Calculate the volume of milk needed for 12 people.(1)
(d)Calculate the mass of butter needed for 12 people.(1)
(Total for Question 24 is 4 marks)
25
Shop I sells an 800 g box of cereal for £3.60. Shop J sells a 1.4 kg box of the same cereal for £6.02. Work out which shop offers better value for money, showing your working.
(Total for Question 25 is 3 marks)
26
A map has a scale of 1 : 60 000. Two railway stations are 4.5 cm apart on the map. Calculate the real distance between them, giving your answer in kilometres.
(Total for Question 26 is 3 marks)
27
A sum of money is shared between Femi and Ola in the ratio 7 : 3. Femi then gives Ola £48, after which they have equal amounts of money. Calculate the total sum of money shared between them originally.
(Total for Question 27 is 4 marks)
28
Two numbers are in the ratio 5 : 8. Their difference is 45. Calculate the sum of the two numbers.
(Total for Question 28 is 3 marks)
Mark scheme · EP.M85 Percentages and Ratio: Practice Set 5
Question 1
B1 A) 7/20 cao
Answer: 7/20
Question 2
B1 0.07 cao
Answer: 0.07
Question 3
B1 21/25 oe cao
Answer: 21/25
Question 4
B1 85% cao
Answer: 85%
Question 5
(a) B1 92% cao
(a) Answer: 92%
(b) B1 18/25 oe cao
(b) Answer: 18/25
(c) B1 0.34 cao
(c) Answer: 0.34
Question 6
B1 £86 cao
Answer: £86
Question 7
M1 10% of 650 found (= 65), used to build 28% (oe)
A1 182 cao
Answer: 182
Question 8
M1 10% of 175 found (= 17.5), used to build 64% (oe)
A1 £112 cao
Answer: £112
Question 9
M1 10% of 220 found (= 22), used to build 45% (oe)
A1 99 cao
Answer: 99
Question 10
B1 D) £68 cao
Answer: £68
Question 11
M1 10% of 480 found (= 48), used to build 15% (= 72) (oe)
M1 dep: 480 + their 15% increase
A1 £552 cao
Answer: £552
Question 12
(a) B1 85 cao
(a) Answer: 85
(b) M1 340 - their 85 (= 255) found (ft from part a)