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IGCSE Math a1.7 Ratio and proportionTopic Practice

1.7 Ratio and proportion

Edexcel IGCSE Math a 1.7 Ratio and proportion question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

Question 1

Pieter owns a currency conversion shop.
Last Monday, Pieter changed a total of 20160 rand into a number of different currencies.
He changed 310\frac{3}{10} of the 20160 rand into euros.
He changed the rest of the rands into dollars, rupees and francs in the ratios 9: 5: 2
Pieter changed more rands into dollars than he changed into francs.
Work out how many more.

Question 1

Brendon, Asha and Julie share some money in the ratios 3: 2: 6
The total amount of money that Asha and Julie receive is $ 36
Work out the amount of money that Brendon receives.
$

Question 2

There are 60 children in a club.
In the club, the ratio of the number of girls to the number of boys is 3: 1
35\frac{3}{5} of the girls play a musical instrument.
45\frac{4}{5} of the boys play a musical instrument.
What fraction of the 60 children play a musical instrument?

Question 3

There are 90 counters in a bag.
Each counter in the bag is either red or blue so that
the number of red counters: the number of blue counters =2: 13
Li is going to put some more red counters in the bag so that the probability of taking at random a red counter from the bag is 13\frac{1}{3}
Work out the number of red counters that Li is going to put in the bag.

Question 3

Norberto sells white loaves of bread and brown loaves of bread.
He sells a total of 200 loaves such that

Norberto sells the white loaves for £ 1.50 each.
He sells the brown loaves for £ 1.75 each.
40% of the price of a white loaf is profit.
60% of the price of a brown loaf is profit.
Work out Norberto's total profit when he sells all 200 loaves.
-

 the number of white loaves sold : the number of brown loaves sold =3:2\text { the number of white loaves sold }: \text { the number of brown loaves sold }=3: 2

Norberto sells the white loaves for £ 1.50 each.

Question image

0% of the price of a white loaf is profit.
ork out Norberto's total profit when he sells all 200 loaves.

Question 4

The diagram shows the shape ABCDE.
The area of the shape is 91.8 cm291.8 \mathrm{~cm}^{2}
Work out the value of x.

4 On a farm there are chickens, ducks and pigs.
The ratio of the number of chickens to the number of ducks is 7: 2
The ratio of the number of ducks to the number of pigs is 5: 9
There are 36 pigs on the farm.
Work out the number of chickens on the farm.

Question 5

In a box, there are only green sweets, orange sweets and yellow sweets.
There are 280 sweets in the box so that
the number of green sweets: the number of orange sweets =2: 3 and
the number of orange sweets: the number of yellow sweets =1: 5
Work out how many green sweets there are in the box.

Question 2(d)

The pictogram gives information about the number of parcels a company posted on each of four days last week.

Table
Question image

Represents 16 parcels

Find the ratio
number of parcels posted on Monday : number of parcels posted on Thursday Give your answer in its simplest form.

Question 2

Danil, Gabriel and Hadley share some money in the ratios 3: 5: 9
The difference between the amount of money that Gabriel receives and the amount of money that Hadley receives is 196 euros.

Work out the amount of money that Danil receives.
euros

Question 4

Divya and Yuan each pay for a holiday at a special offer price.

Table
Question image

The amount that Divya pays is the same as the amount that Yuan pays.
Work out the value of k

k=

5 C grams of chocolate is shared in the ratios 2: 5: 8
The difference between the largest share and the smallest share is 390 grams.
Work out the value of C

C=
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