Syllabus Edition

First teaching 2021

Last exams 2024

|

Ratio & Proportion (CIE IGCSE Maths: Core)

Exam Questions

1 hour26 questions
1
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1 mark

When full, a cruise ship carries 880 guests and 360 crew.

Write the ratio guests : crew in its simplest form.

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2
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2 marks

A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7 pencils are yellow.

Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.

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3
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2 marks

Maia shares $3000 between her three children.
She gives the eldest child $1200, the second eldest child $1000 and the rest to the youngest child.

Write this information as a ratio in its simplest form.

.............. : .............. : .............. 
eldest                  youngest 

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4a
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2 marks

A car company has three sales people, Anna, Mustapha and Joshua.

During March, Anna sold 21 cars, Mustapha sold 12 cars and Joshua sold 15 cars.

Write down and simplify the ratio of the number of cars they sold during March.

Anna : Mustapha : Joshua = .......... : .......... : ........... 

4b
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3 marks

Each month, they receive a bonus which is proportional to the number of cars they sell.
The total bonus in March is $1248.

i)
Show that Anna receives a bonus of $546.
[1]
ii)
Calculate the bonuses received by Mustapha and Joshua.

Mustapha $ ..........................     
Joshua $ ............................. [2]

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5
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2 marks

Divide 120 in the ratio 1 : 2.

................. : ................. 

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1
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2 marks

Alan and Beth share $1190 in the ratio Alan : Beth = 5 : 2.

Work out how much Alan receives.

$..........................

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2
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2 marks

Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3.
Alex receives 20 more sweets than Chris.

Work out the number of sweets Chris receives.

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3
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3 marks

One week the café makes a profit of $1027.
George, Louis and Beatriz share this profit in the ratio George : Louis : Beatriz = 7 : 4 : 2.

Calculate the amount of money they each receive.

  George $ ......................................................
Louis   $ ......................................................
Beatriz $ ......................................................

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4
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3 marks

Alexa, Ben and Chloe share the profits from their restaurant in the ratio 2 : 6 : 7.
One year the restaurant makes a profit of $60000.

Work out how much each receives.

Alexa = $ .................................................
Ben = $ .................................................
Chloe = $ ................................................. 

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5
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2 marks

Share 518 in the ratio 2 : 5.

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6
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3 marks

Here is a list of ingredients to make 12 pancakes.

110g flour
2 eggs
200 ml milk
50g butter

Complete the list of ingredients below to make 30 pancakes.

............................g flour
............................ eggs
............................ml milk
............................g butter

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7
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2 marks

Asif and Ben share $2100 in the ratio Asif : Ben = 3 : 7.

Work out how much Asif receives.

$ .........................................

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8
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2 marks

Zach is looking at the cost of his holiday.
The ratio of the costs flights : hotels = 3 : 8.
The cost of the flights is $861.

Work out the total cost of flights and hotels.

$ ................................................... 

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9a
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2 marks

The music teacher at a school forms an orchestra.
The instruments in the orchestra are 36 string, 15 woodwind and 12 brass.

Write the ratio string : woodwind : brass in its simplest form.

................ : ................ : ................

9b
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3 marks

The 36 string instruments are violins, cellos and double basses in the ratio

violins : cellos : double basses = 9 : 2 : 1.

i)
Show that the number of violins is 27.
[1]
ii)
Work out the number of cellos and the number of double basses.

Cellos ..........................     
Double basses ........................... [2]

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10
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2 marks

A car park has 880 parking spaces.

Some of the spaces are reserved.
The ratio of reserved spaces : not reserved spaces = 1 : 10.

Work out the number of spaces that are not reserved.

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11
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3 marks

Three people pick strawberries. The strawberries are sold in boxes.
On Monday, they receive $390 for their boxes of strawberries.
They share this money in the ratio Alison : Bob : Jenny = 7 : 3 : 2.

Work out how much money they each receive.

Alison $ ....................................     
Bob $ ....................................     
Jenny $ .....................................    

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12
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2 marks

Share $72 in the ratio 5 : 4.

$ ................ , $ ................ 

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13
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2 marks

Jez and Soraya share $2500 in the ratio Jez : Soraya = 7 : 3.

Work out how much Soraya receives.

$ ................................. 

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1
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2 marks

Gabriela designs the seating layout for a new theatre.
There are three sections of seats, A, B and C.

Section A has 152 seats.
Section B has 12.5% more seats than Section A.
Section C has 3 over 8 of the number of seats in Section A.

Write down and simplify the ratio of the number of seats in each section A : B : C.

A : B : C = ............. : ............. : .............

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2
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2 marks

A bag contains yellow balls, pink balls and green balls only.

The ratio yellow balls : pink balls : green balls = 7 : 3 : 5.
There are 42 yellow balls in the bag.

Work out the total number of balls in the bag.

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3a
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3 marks

100 g of cereal contains 360 kilocalories.
100ml of milk contains 45 kilocalories.
For breakfast Sasha has 35 g of cereal with 180ml of milk.

Work out the number of kilocalories Sasha has for breakfast.

.......................................... kcal 

3b
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3 marks

A shop sells cereal in boxes A, B and C.

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Work out which box is the best value.
You must show all your working.

Box ................................................. 

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4
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2 marks

A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is

red : green : blue = 12 : 5 : 2.

There are 112 more red marbles than green marbles.

Work out the number of blue marbles.

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5
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3 marks

A farmer has 45 horses and 20 cows.

i)
Write this as a ratio of horses : cows.
Give your answer in its simplest form.
[1]
ii)
The farmer wants the ratio of horses : cows to equal 5 : 3.
He keeps his 45 horses and buys some more cows.

Work out the number of cows he must buy.
[2]

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6
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3 marks

Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green = 5 : 4 : 1.
48 of the T-shirts are blue.

Work out the total number of T-shirts.

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7
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2 marks

Raoul makes a profit when he sells his watch for $36.
The ratio of the price Raoul paid for the watch and the profit he makes is price paid : profit = 7 : 2.

Work out the profit that Raoul makes.

$....................................................

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8
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5 marks

Three boys each have $600.

Victor spends 40% of his $600.
He spends the money in the ratio clothes : books : music = 10 : 2 : 3.

i)
Work out how much he spends on music.

$ .................................. [3]

ii)
Work out how much more he spends on clothes than books.

$ ................................... [2]

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