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Ratio and proportion
Model Answers 2
Level
Subject
Exam Board
Topic
Sub Topic
Booklet
Time Allowed:
IGCSE
Maths
Edexcel
Numbers and Algebra
Ratio and Propostion
Model Answers 2
38 minutes
Score:
/ 32
Percentage:
/100
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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?
Ratio is for every 15 units 240/15 = 16 is the unit value
Lisa gets 16 x 3 = 48 Punita gets 8 x 16 128
128 -48 = 80
Punita gets 80 more than Lisa
..........................
£. . 80
(Total for Question is 3 marks)
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2) Wages = materials = 82 Sum of angles known regions = 82 + 30 + 82 + 76 + services = 360
Services = 86 degrees 86/360th of the total value,
Total value = 225.5 million/82 x 360 = 990 million
990 million x 86/360 = 236.5 million
236.5 million
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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.
6:4 = x+15 : x X +15 = 6
X= 4
One unit of ratio = 7.50
3 x 7.50 = 22.50
.................................................
$ . . . . .22.50
(Total for Question 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.
175g = 7 unit values
175/7 = 25
9 unit values of flour,
9 x 25 = 225
225
...............................
(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.
27 + 14 + 9 = 50
400/ 50 = 8
8 grams per unit value
8x 27 =216g of flour
216
...............................
grams
(2)
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.
9:7 for flaky pastery = 27:21
21 units of fat for flaky, Sweet ratio 27:14:19
14 units of fat for sweet.
Therfore ratio = 21:14
3:2
3:2
.......................................................
(2)
(Total for Question 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 is 5 marks)
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6
Here ilis sta of
the ingredientseded
ne otke
mantil
le soup for 6ople.
pe
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.
Recipe is for 6 people
Needs enough for 24 people
So ends 4 x the amount listed
800g x 4 = 3200g
3200
........................................
ml
(2)
Ravi is going to make lentil soup.
He uses 450 g of carrots.
(b) How many people is Ravi making the lentil soup for?
300/ 6 = 50
50g per person
450/50 = 9 people
9
. . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 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.
Longest length corresponds to 7 units in the ratio.
24.5/7 = 3.5
2+ 6 +7 = 15
3.5 x 15 = 52.5
52.5
......................................................
(Total for Question 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.
Ratio is for every 12 units
6000/12 = 500
Imran has 7 for every 12 7x500 = 3500
Bhavin has 2
2x 500 = 1000
3/5 x 3500 = 2100 is added to bhavins share
3100
3100/6000 x 100 = 51.666 % = 52%
52%
.......................................................
(Total for Question 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.
Total = 3+7
Rafael wins 7 out of every 10 plays
7/10 is probability he wins
30 trials
30 x 7/10 = 21
21
.......................................................
(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.
75 girls correspondes to the ratio value of 3
25 students per unit
25 x 4 = 100
100
.......................................................
(2)
(Total for Question is 4 marks)