CIE IGCSE Maths: Core

Topic Questions

Syllabus Edition

First teaching 2021

Last exams 2024

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Money Calculations

1
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3 marks

Robert buys a car for $18160.

He pays a deposit of $6460.
He pays the rest of the money in 24 equal monthly payments.

Work out the amount of each monthly payment.

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

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2
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2 marks

Henry decorates a room.

Complete Henry’s shopping bill.

Item Cost ($)
3 tins of paint at $15.95 each  
2 brushes at $7.50 each  
1 roll of tape at $2.90 2.90
Total  

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3a
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1 mark

Here is part of the menu for Jamie’s café.

Menu
  Price ($)
Tea 2.35
Coffee 3.40
Lemonade 1.80
Cake 4.45
Biscuit 0.85

Sue has one tea and one cake.

Calculate how much she pays.

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

3b
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2 marks

Derrick has one coffee and two biscuits.

How much change does he receive from a $10 note?

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

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4a
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2 marks

A music teacher needs to buy all the instruments for an orchestra.

  Number of
instruments
Price of each
instrument ($)
Cost ($)
String 36 131 4716
Woodwind 15 217  
Brass 12 221  

i)
Complete the table.
[1]
ii)
Find the total cost of all the instruments.
$ .............................. [1]
4b
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2 marks

The school is given 65% of the total cost of all the instruments.

Find how much more money is needed.

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

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5
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1 mark

Jodi swims 22 lengths of a swimming pool to raise money for charity.
She receives $15 for each length she swims.

Calculate how much money Jodi raises for charity.

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

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6
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1 mark

Some people sell 208 boxes of strawberries at $3.25 for each box.

Work out how much money they receive.

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

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1
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3 marks

Rangan buys 3.6 kg of potatoes and 2.8kg of leeks.
The total cost is $13.72.
Leeks cost $2.65 per kilogram.

Find the cost of 1 kg of potatoes.

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

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2
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3 marks

A fuel tank holds 52 litres when full.
The tank is a quarter full.
Jim fills the tank with fuel that costs $2.18 per litre.

Work out how much Jim pays.

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

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3
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6 marks

Navja works in a post office.

The table shows the costs of sending parcels by post.
The cost depends on the mass, m grams, of the parcel.

Type of parcel Mass (g) Cost ($)
Small 0 less than m less-than or slanted equal to 60 0.76
Medium 60 less than m less-than or slanted equal to 100 0.95
Large 100 space less than space m space less-than or slanted equal to space 250 2.20
Extra large 250 space less than space m space less-than or slanted equal to space 1000 5.60

Sai sends each of these four parcels by post.

qp1ai-0580-32-paper-3-march-2020-cie-igcse-maths

He pays with a $20 note.

Work out how much change he receives.

$ ................................................. [4]

On 1 April, the cost of sending any parcel increases by 5%.

iia)
Show that the increase in the cost of sending an Extra large parcel is $0.28 .
[1]
iib)
Avani says

“As the cost of an Extra large parcel increases by $0.28 then the cost of a Large parcel will also increase by $0.28 to $2.48.”

Explain why Avani is incorrect.

[1]

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4
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1 mark

Pranav paints a wall of area 53m2.
One litre of paint covers an area of 4.5m2.
Paint is sold in 2.5 litre tins, each costing $24.75 .
Pranav buys the least number of tins to paint this wall.

Work out the cost of the paint.

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

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5a
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4 marks

Mr Razif travels by bus from Singapore to Kuala Lumpur with his wife and his four children.

Ticket Price
Adult $32.40
Child $24.40
Family (2 adults and 3 children) $115.00

Work out how much Mr Razif saves if he buys a family ticket and one child ticket rather than six individual tickets.

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

5b
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1 mark

The bus leaves Singapore at 1240 and arrives in Kuala Lumpur at 1735.

Work out, in hours and minutes, the time this journey takes.

.................... h ...................min

5c
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2 marks

Mr Razif changes some dollars into Malaysian ringgits.
He receives 318 ringgits when the exchange rate is $ 1 space equals 4. space 24 ringgits.

Work out how many dollars he changes.

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

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6
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6 marks

The cost of each visit to the car park is shown in the table.

Length of visit Cost ($)
Up to 20 minutes Free
More than 20 minutes and up to 2 hours 2.50
More than 2 hours and up to 4 hours 4.50
More than 4 hours and up to 8 hours 8.50
More than 8 hours and up to 24 hours 12.00

i)
Samarth arrives at 11 40 and leaves at 1530.
Find the cost of his visit.

$ ................................ [1]

ii)
Radhika leaves the car park at 1750 and pays $8.50.

a)
Work out the earliest time she could have arrived at the car park.

[1]

b)
Work out the change she receives from a $20 note.

$ ............................... [1]

iii)
Dhruv bought a weekly car park ticket for $26.
That week, he visited the car park four times.
These are the lengths of time he parked his car for.

17 space minutes space space space space space space space space space space space space space space 6 1 half hours space space space space space space space space space space space space space space space 11 space hours space space space space space space space space space space space space space space space space 9 1 fourth hours

Work out how much he saved by buying a weekly ticket.

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

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7
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9 marks

Mr and Mrs Baker go on holiday with their three children.
They fly from Miami to Mexico City.

i)
The cost of each adult ticket is $450.
The cost of each child ticket is 70% of the cost of an adult ticket.

Calculate the total cost of the five tickets.

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

ii)
The plane leaves Miami at 0929.
It arrives in Mexico City 2 hours 11 minutes later.
The local time in Miami is 1 hour ahead of the local time in Mexico City.

Work out the time in Mexico City when the plane arrives.

[2]

iii)
The family travels 38 kilometres by taxi.
The journey costs $3.50 plus an extra $2.15 for each kilometre travelled.

Find the cost of the journey.

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

iv)
At the end of the holiday Mr Baker changes 1335 pesos into dollars.
The exchange rate is $1 = 17.8 pesos.

Find how many dollars Mr Baker receives.

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

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8a
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3 marks

The table shows the cost of tickets for a museum.

  Cost
Adult $4.20
Senior (aged over 60) $2.80
Child (aged 5 to 15 ) $1.80
Child (aged under 5) Free

The Reeve family visit the museum.
Mrs Reeve is aged 36, her father is 67, her mother is 65, and her three children are 2, 7 and 12.

Work out the total cost for these six people to visit the museum.

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

8b
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2 marks

Mrs Reeve buys 6 ice creams.
Each ice cream costs $1.30 .

How much change does she receive from $10?

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

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1
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2 marks

A café sells the following drinks.

Drinks
Cup of tea
Cup of coffee
Bottle of juice
Bottle of water
$2.20
$2.80
$1.50
$1.35

Johan buys 2 cups of tea, 1 bottle of juice and 1 bottle of water.

Calculate the change he receives from a $10 note.

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

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2
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3 marks

Complete this bill.

2.5 kg potatoes at $1.12 per kg $ ........................
........ kg bananas at $1.05 per kg $ ........................
Total =  $ 4.69

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3
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3 marks

A shop sells bags of compost in three different sizes.

qp4e-0580-33-paper-3-nov-2020-cie-igcse-maths

Work out which size of bag gives the best value.
Show how you decide.

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4a
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3 marks

Jeremy goes on holiday.
He parks his car in the airport car park from

1000 on Tuesday 17 July to 1700 on Saturday 28 July.

The car park charges are shown below.

               Monday to Friday                $14 per day
               Saturday and Sunday         $8 per day
                  Part days are charged as full days

Find the total cost of parking his car.

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

4b
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2 marks

At the airport, Jeremy buys a ring for $53 and a watch for $65.

Work out how much change he receives from $120.

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

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5
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9 marks

Jodie and her two children go to a football match.

i)
Ticket prices are $15.30 for an adult and $6.50 for a child.

Calculate the total cost of the three tickets.
$.................................................... [2]
ii)

A match programme costs $3.75 .
Jodie buys two match programmes.

Calculate the change she receives from a $10 note.

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

iii)
540 tickets out of 630 are sold for this match.

Calculate the percentage of tickets sold.
[1]
iv)
The match starts at 1455 and ends 1 hour 50 minutes later.

Work out the time the match ends.
[1]
v)
Jodie travels 66km to get home after the match.
She leaves at 5pm and arrives home at 6.12pm.

Calculate her average speed in kilometres per hour.
........................................... km/h [3]

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6
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2 marks

Nadira pays 6 people to work in the shop.

In one week

  • 4 people each work for 38 hours
  • 2 people each work for 25 hours.

They are each paid $11.40 for each hour they work.

Calculate the total amount Nadira pays these 6 people in one week.

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

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7
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2 marks

Harriet works at the café for 34 hours each week.
She is paid $8.25 for each hour.

i)
Work out the amount she is paid each week.
$ .............................................. [1]
ii)
One week she works 8 hours extra.
The extra hours are paid at 1.5 times her usual rate of $8.25 for each hour.

Work out the total amount she is paid for that week.
$ .............................................. [2]

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8a
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2 marks

Mr Lester has a fruit and vegetable shop.

Apples cost 32 cents each.
Suki buys 6 apples.

Work out the change Mr Lester gives Suki when she pays with a $10 note.

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

8b
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3 marks

Green grapes cost $3.10 per kilogram.
Red grapes cost $2.80 per kilogram.
Work out the total cost of buying 0.6kg of green grapes and begin inline style 3 over 4 end style kg of red grapes.

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

8c
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1 mark

George spends $12 on fruit each week.
The total amount he spends on food is $75.

Work out the percentage of the $75 he spends on fruit.

.................................................%

8d
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2 marks

Mr Lester buys pineapples for $1.50 each.
He makes 60% profit when he sells them.

Work out the selling price of a pineapple.

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

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9
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2 marks

Saddak buys 3 cups of tea and 2 cookies for $ 6.95.
A cup of tea costs $ 1.75.

Work out the cost of one cookie.

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

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10a
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3 marks

One Monday afternoon, a cinema sells 24 adult tickets, 16 child tickets and 8 senior tickets.

Work out the total amount of money received for these tickets.

Ticket prices

Adult $10.50
Child $ 6.25
Senior $ 9.00

$ ........................... 

10b
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2 marks

In the cinema café, Harry buys a cup of tea for $1.85 and a cake for $1.70 .

Work out the change he receives from a $5 note.

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

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11a
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3 marks

Stef buys 3.5 kilograms of bananas.

i)
Bananas cost $1.24 per kilogram.
Stef pays with a $5 note.

Work out how much change she receives.
$ ............................... [2]
ii)
Write 3.5 kilograms in grams.
.................................. g [1]
11b
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2 marks

Oranges cost 85 cents each.
Leo has a $10 note.

Work out the maximum number of oranges he can buy.

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12
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3 marks

While Georgiana waits for her train, she buys a cup of hot chocolate.

q6c-058031-mayjune2018-cie-igcse-maths-core

Work out which cup of hot chocolate is the best value.
Show all your working.

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13
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3 marks

The cost of hiring a car for 12 days is $167.90 .
The cost of hiring this car for the first day is $20.50.

Work out the cost per day for the remaining 11 days.

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

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