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Ratio and proportion
Question Paper 2
Level
Subject
Exam Board
Topic
Sub Topic
Booklet
IGCSE
Maths
Edexcel
Number and Algebra
Ratio and proportion
Question Paper 2
39 minutes
Time Allowed:
Score:
/32
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
70%
60%
55%
50%
<50%
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1
Lisa, Max and Punita share £240 in the ratio 3 : 4 : 8
How much more money than Lisa does Punita get?
£. . . .. . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 3 marks)
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2
The pie chart gives information about the amounts spent by a gas company in one year.
Other
30°
Materials
Diagram NOT
accurately drawn
82°
Wages
76°
Rates
Services
The amount spent on materials was 225.5 million euros.
The amount spent on services was the same as the amount spent on wages.
Work out the amount spent on services.
.......................................................
million euros
(Total for Question 2 is 3 marks)
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3
Pritam, Sarah and Emily share some money in the ratios 3 : 6 : 4
Sarah gets $15 more than Emily.
Work out the amount of money that Pritam gets.
$ ......................................................
(Total for Question 3 is 3 marks)
4
Flaky pastry is made using flour and fat in the ratio 9 : 7 by weight.
Cassie makes some flaky pastry.
She uses 175 grams of fat.
(a) Work out the weight of flour Cassie uses.
...............................
(2)
grams
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Sweet pastry is made using flour, fat and sugar in the ratio 27: 14: 9 by weight.
Luke makes some sweet pastry.
The total weight of flour, fat and sugar he uses is 400 grams.
(b) Work out the weight of flour Luke uses.
...............................
(2)
grams
Elisha makes some flaky pastry and some sweet pastry.
She uses the same weight of flour for the flaky pastry as she does for the sweet pastry.
(c) Work out the ratio of the weight of fat she uses in the flaky pastry to the weight of fat
she uses in the sweet pastry.
.......................................................
(2)
(Total for Question 4 is 6 marks)
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5 V is inversely proportional to the square of t
V = 28 when t = 2.5
(a) Express V in terms of t
.......................................................
(3)
(b) Work out the value of V when t = 6.25
V=
.......................................................
(2)
(Total for Question 5 is 5 marks)
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6
Here is a list of the ingredients needed to make lentil soup for 6 people.
Lentil Soup (for 6 people)
120 g lentils
300 g carrots
800 ml vegetable stock
3 onions
Jenny wants to make lentil soup for 24 people.
(a) Work out the amount of vegetable stock she needs.
........................................
(2)
ml
Ravi is going to make lentil soup.
He uses 450 g of carrots.
(b) How many people is Ravi making the lentil soup for?
.........................................
(2)
(Total for Question 6 is 4 marks)
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7 The lengths of the sides of a triangle are in the ratios 2 : 6 : 7
The length of the longest side of the triangle is 24.5 cm.
Work out the perimeter of the triangle.
......................................................
(Total for Question 7 is 3 marks)
cm
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8
Bhavin, Max and Imran share 6000 rupees in the ratios 2 : 3 : 7
3
Imran then gives of his share of the money to Bhavin.
5
What percentage of the 6000 rupees does Bhavin now have?
Give your answer correct to the nearest whole number.
.......................................................
(Total for Question 8 is 5 marks)
%
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9
Rafael and Roger played tennis against each other 30 times.
Each of the times they played, either Rafael won or Roger won.
The ratio of the number of times Rafael won to the number of times Roger won is 7 : 3
(a) Work out the number of times Rafael won.
.......................................................
(2)
In a school, there are 75 girls in the tennis squad.
The ratio of the number of boys in the tennis squad to the number of girls in the tennis
squad is 4 : 3
(b) Work out the number of boys in the tennis squad.
.......................................................
(2)
(Total for Question 9 is 4 marks)