Edexcel IGCSE Maths
Topic questions Number Standard units & compound measures
75 questions · 292 marks · about 6 hours
The normal price of a calculator is £26.80
Amy gets 
off the normal price with her student discount card.
Amy buys 2 of these calculators. She pays with a £50 note.
How much change should Amy receive?
Seb went into a restaurant at 18 15 He left the restaurant at 21 40
Work out the time that Seb spent in the restaurant. Give your answer in hours and minutes.
On Friday, the restaurant sold 120 meals. 48 of these meals were vegetarian meals.
What percentage of the meals sold on Friday were vegetarian meals?
Also involves Proportion
A shop accepts payment in pounds (£) or in Swiss francs.
In the shop, a shirt costs £35 or 42 Swiss francs. The cost of a jacket is £54
Alex works out the cost of the jacket in Swiss francs. She uses the same exchange rate that was used for the cost of the shirt.
What is the cost of the jacket in Swiss francs?
The diagram shows a plan of a garden made from three identical rectangles.
The length of each rectangle is 6 metres. The width of each rectangle is 3.5 metres.
Jeremy puts a fence around the perimeter of the garden. He charges 7.60 euros for each 1 metre of fence.
Work out how much Jeremy charges in total for the fence.
Adam sells chocolate cakes and lemon cakes.
The ratio
number of chocolate cakes he sells: number of lemon cakes he sells 
5: 7
He sells 40 chocolate cakes.
Adam sells each chocolate cake for $8.50 He sells each lemon cake for $12.75
Work out the total amount of money Adam gets for selling the cakes.
Mark is going to book a room in a hotel for 7 nights.
A room in the hotel costs the same amount for each night. Mark knows that the room costs 150 euros for 2 nights.
The hotel also charges an additional tax of 5 euros for each night.
Work out the total cost of the room and the tax for 7 nights.
The scale drawing shows the positions of two towns, Harvel and Ebury.
Work out the real distance, in kilometres, between Harvel and Ebury.
On Saturday, Luisa cycles directly from Harvel to Ebury.
Luisa leaves Harvel at 12 50 She arrives at Ebury at 17 15
Work out the time Luisa takes to cycle directly from Harvel to Ebury.
Also involves The four operations
Pierre used 2358 units of water last year.
Each unit of water cost 0.28 euros.
Pierre has already paid for some of the water he used. He paid 42 euros each month last year.
Work out how much more Pierre has to pay for the water he used last year.
Also involves Area and perimeter
The diagram shows a rectangular wall and a square tile.
Hamish wants to cover all the wall with tiles.
The tiles are sold in boxes. There are 6 tiles in each box. Each box of tiles costs £17.50
Work out the total cost of the tiles Hamish needs.
Here is a polygon.
Write down the mathematical name of this polygon.
Write down the number marked with the arrow.
Here are four clock faces.
Write down the letter of the clock face that shows quarter to five.
Complete the following sentence by writing a suitable metric unit on the dotted line.
The height of the Eiffel Tower is 300........
Also involves Forming and solving equations
Marie buys
3 birthday cards at $1.80 each 4 sheets of wrapping paper at $1.20 a sheet 2 identical rolls of sticky tape
The total cost is $17.10
Work out the cost of one roll of sticky tape.
Also involves The four operations
The diagram shows a box and a crate with a lid.
The box is a cube with sides of length 5 cm. Tony has many boxes.
The crate is a cuboid with inside lengths of 27 cm, 35 cm and 40 cm.
Tony puts as many boxes as possible into the crate so that the lid will shut.
Work out the volume of space in the crate that is not filled up with boxes.
Norberto sells white loaves of bread and brown loaves of bread.
He sells a total of 200 loaves such that
the number of white loaves sold: the number of brown loaves sold = 3: 2
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.
Norberto sells white loaves of bread and brown loaves of bread.
He sells a total of 200 loaves such that
the number of white loaves sold: the number of brown loaves sold = 3: 2
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.
Barsha buys some nails and some bolts.
Each box of nails costs £2.60 Each pack of bolts costs £3.94
Barsha buys 5 boxes of nails and 4 packs of bolts. He pays with a £50 note.
Work out how much change he should get.
Write 4 30 pm as a time in the 24-hour clock.
Here is part of a bus timetable from Beetown to Pilton.
| Beetown | 08 45 |
| Corthill | 09 50 |
| Pilton | 10 36 |
The bus should take more time to get from Beetown to Corthill than from Corthill to Pilton.
How much more time? Give your answer in minutes.
Write 4.15 pm as a time using the 24-hour clock.
On Thursday, Belina drives to Theo’s house.
She leaves home at 09 15 She arrives at Theo’s house at 14 40
Work out how long the journey takes. Give your answer in hours and minutes.
Also involves The four operations · Converting between units
Niran is organising a baking competition and needs to buy 9.25 kilograms of flour.
Flour is sold in bags that each contain 750 grams of flour. Each of these bags costs 58 Baht. Niran can only buy whole bags of flour.
Niran buys the least number of bags of flour that he needs.
Work out the cost of the flour that he buys.
13The diagram shows the plan of a garden.
Martyn covers the garden with square tiles of side length 50 cm. There are no gaps between the tiles.
It takes 4 minutes to lay each tile.
Work out how long it takes Martyn to cover the whole garden with tiles. Give your answer in hours and minutes.
A hall has 26 rows of seats. There are 14 seats in each row. Annie sells tickets for 
of the seats in the hall for a concert. She sells each ticket for 15 euros.
Work out the total amount Annie gets from selling tickets.
Adriana makes some cupcakes.
She sells each cupcake for £2.20
Mike buys 6 of these cupcakes. He pays with a £20 note.
Work out how much change Mike should receive.
Greta sells balloons.
She sells each balloon for £0.85
Stefan has £50 to spend on balloons.
Work out the greatest number of balloons he can buy.
Change 720 dollars to euros.
Change 2580 yuan to euros.
Zoya buys a book and some pencils.
The book costs £6.90 Each pencil costs £0.55
Zoya has a total of £15 to spend on the book and the pencils. She buys as many pencils as she can.
Work out how many pencils she buys.
Sandeep sells 600 tickets for an event. He receives a total of $7200 from selling the tickets. 
of the tickets sold are child tickets. The rest of the tickets sold are adult tickets.
The cost of an adult ticket is $13.60
Work out the cost of a child ticket.
Also involves The four operations
Orange squash is made from orange juice and water.
Sean has two different cartons of orange squash, carton P and carton Q. The table gives information about the two cartons.
| Carton P | Carton Q |
| Total volume of orange squash is 250 millilitres 30% of the total volume is orange juice and the remainder is water | Total volume of orange squash is 250 millilitres 160 millilitres of the total volume is water and the remainder is orange juice |
Work out the difference in the volume of orange juice in carton P and the volume of orange juice in carton Q.
The graph below can be used to change between dollars and Danish krone.
Change 40 dollars to Danish krone.
Change 350 Danish krone to dollars.
Robert needs 950 Danish krone to pay for a hotel stay. He has 170 dollars.
Show that Robert has enough money to pay for his hotel stay.
Also involves Converting between units
Tom puts boxes into a shipping container.
The container is a cuboid 10 metres by 2.4 metres by 2.4 metres. Each box is a cube of side 40 centimetres.
Work out the greatest number of these boxes that Tom can put into the container.
Here is a floor plan of a stage. The plan is formed from a triangle and a rectangle.
The stage manager is going to paint the floor.
One tin of paint covers an area of 1.8 m2 One tin of paint costs $16.40
Paint can only be bought in full tins.
The stage manager has $190 to spend.
Does the stage manager have enough money to buy enough tins to paint all of the floor? Show your working clearly.
Also involves Forming and solving equations
The table gives information about the costs of sending parcels of different weights.
| Weight (wkg) | Cost of sending a parcel |
0  w  1 | £6.00 |
| 1 w 2 | £9.02 |
2  w  5 | £15.85 |
| 5 w 10 | £21.90 |
Peony has one parcel of weight 1.3 kg and another parcel of weight 8 kg to send to two different places.
Work out the total cost of sending these two parcels.
Gryffyn sends 3 parcels each to a different place. One of the parcels has a weight of 1.5 kg and another of the parcels has a weight of 2.8 kg The total cost of sending the 3 parcels is £33.89
Work out the greatest possible weight of the third parcel.
Write 5 15 pm using the 24-hour clock.
Roberta goes out for a walk. She leaves home at 16 35 She arrives back home at 20 15 on the same day.
Work out for how much time Roberta is out for her walk.
Write the time 8 30 pm using the 24-hour clock.
Ella started watching television at 10 50 am.
Ella watched
a comedy programme lasting 45 minutes a sports programme lasting 1 hour 10 minutes a history programme
There were no breaks and no advertisements between the programmes. Ella finished watching television at 2 20 pm.
How long did the history programme last? Give your answer in minutes.
Hermann changed £500 into euros. The exchange rate was £1 = 1.18 euros.
Work out how much money, in euros, Hermann received.
Anita changed $350 into pounds (£) The exchange rate was £1 = $1.40
Work out how much money, in pounds (£), Anita received.
The diagram shows the plan of a floor.
Indira is going to paint the floor. She needs to buy enough tins of paint to cover the floor with one coat of paint.
Each tin of paint covers an area of 7 m2 Each tin of paint costs £23.90
Indira buys the least possible number of tins of paint.
Work out the total cost of the tins of paint that Indira buys. Show your working clearly.
Here is a polygon.
Write down the mathematical name of this polygon.
Here is a scale.
On the scale, mark with an arrow (↑) the number 360
Here is a clock face.
Write down the time shown on the clock face.
Complete the following sentence by writing a suitable metric unit on the dotted line.
Jordan buys 256 notebooks.
He buys the notebooks in packs of 8 notebooks. Each pack of 8 notebooks costs £2.48
Work out how much the 256 notebooks cost Jordan.
Also involves The four operations
It takes a machine 8 seconds to produce a bolt.
Each day, the machine starts producing bolts at 09 30 The machine produces bolts continuously every 8 seconds until it stops at 16 10 on the same day.
Work out how many bolts the machine produces each day.
Angelina buys 3 packets of seeds at $2.45 each packet 2 bags of compost at $6.20 each bag and 4 plant pots
Each plant pot costs the same amount of money.
Angelina paid a total of $34.35 for the seeds, compost and plant pots.
Work out the cost of each plant pot.
Also involves Converting between units
Mairi has a 2 metre length of string. She cuts from the string as many lengths of 35 centimetres as possible.
Work out the length of string that she has left. Give your answer in centimetres.
Also involves The four operations · Rounding
The diagram shows a classroom wall in the shape of a trapezium.
Dion wants to paint the classroom wall completely twice. He knows that each tin of paint will cover 12 m2
He is going to have to buy all the paint he needs.
Work out the least number of tins of paint that Dion will need to buy. Show your working clearly.
Sarah makes and sells mugs.
One day she makes 150 mugs. Her total cost for making these mugs is £1140
Of these mugs
32% are medium mugs and the rest are large mugs
Here is Sarah’s price list for selling each mug.
Sarah sells all 150 mugs.
Work out her percentage profit. Give your answer correct to the nearest whole number.
Also involves Fractions, decimals and percentages
Sarah makes and sells mugs.
One day she makes 150 mugs. Her total cost for making these mugs is £1140
Of these mugs
32% are medium mugs and the rest are large mugs
Here is Sarah’s price list for selling each mug.
Sarah sells all 150 mugs.
Work out her percentage profit. Give your answer correct to the nearest whole number.
James is on holiday in Canada. The exchange rate is £1 = 1.75 Canadian dollars.
Change £800 into Canadian dollars.
James buys a watch in Canada.
The price of the watch is 98 Canadian dollars. In England the price of an identical watch is £60
Work out the difference in the prices of the two watches. Give your answer in pounds (£)
The accurate scale diagram shows the map of an island drawn on a centimetre grid.
The position of Aaron’s house is A. The position of Bharat’s house is B.
Write down the coordinates of A.
By measurement, find the bearing of A from B.
Measure the length of the line AB. Give your answer in centimetres correct to one decimal place.
Aaron cycled along a straight path from his house to Bharat’s house. The scale of the map is 1 cm represents 5 km.
Work out the distance, in kilometres, that Aaron cycled.
Aaron left his house at 10 45 am and arrived at Bharat’s house at 1 05 pm.
How long did Aaron’s cycle ride take him? Give your answer in hours and minutes.
Also involves The four operations
Amir is going on holiday.
He weighs his suitcase on the weighing scales at the airport. The reading on the scale gives the weight of Amir’s suitcase.
An excess luggage charge has to be paid when the weight of a suitcase is greater than 25 kg. This charge is 7.45 euros for each kilogram over the 25 kg limit.
Work out the excess luggage charge that Amir has to pay.
Iwan is going to buy the following items
1 plant pot at £8 3 bags of soil at £4.50 for each bag some packets of seeds at £1.10 for each packet.
Iwan has a total of £30 to spend on these items. He buys as many packets of seeds as he can.
Work out how much change Iwan should receive.
Also involves The four operations · Converting between units
Nav makes bracelets using cord.
Nav has a 6 metre length of cord. Each bracelet needs 17.5 cm of cord.
Work out the greatest number of bracelets that Nav can make.
In Koko’s shop
5 chocolate bars cost $5.75
2 chocolate bars and 3 packets of sweets cost $7.85
Work out the cost of one packet of sweets.
Akiko travelled from London to Tokyo by plane.
The plane left London at 18 40 on Friday. The plane arrived in Tokyo the next day, at 06 25 London time.
How long did the flight take? Give your answer in hours and minutes.
The diagram shows a container for water in the shape of a prism.
The rectangular base of the prism, shown shaded in the diagram, is horizontal. The container is completely full of water.
Tuah is going to use a pump to empty the water from the container so that the volume of water in the container decreases at a constant rate.
The pump starts to empty water from the container at 10 30 and at 12 00 the water level in the container has dropped by 20 cm.
Find the time at which all the water has been pumped out of the container.
Also involves Rounding
The diagram shows one face of a wall. This face is in the shape of a pentagon with exactly one line of symmetry.
Omondi is going to paint this face of the wall once. He has to buy all the paint that he needs to use.
The paint in each tin of paint Omondi is going to buy will cover 16 m2 of the face of the wall.
Work out the least number of tins of paint Omondi will need to buy. Show your working clearly.
Pieter owns a currency conversion shop.
Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 
of the 20 160 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.
Also involves Ratio, proportion and rates of change
The diagram shows a container for water in the shape of a prism.
The rectangular base of the prism, shown shaded in the diagram, is horizontal. The container is completely full of water.
Tuah is going to use a pump to empty the water from the container so that the volume of water in the container decreases at a constant rate.
The pump starts to empty water from the container at 10 30 and at 12 00 the water level in the container has dropped by 20 cm.
Find the time at which all the water has been pumped out of the container.
Also involves Pythagoras' theorem
The diagram shows one face of a wall. This face is in the shape of a pentagon with exactly one line of symmetry.
Omondi is going to paint this face of the wall once. He has to buy all the paint that he needs to use.
The paint in each tin of paint Omondi is going to buy will cover 16 m2 of the face of the wall.
Work out the least number of tins of paint Omondi will need to buy. Show your working clearly.
Also involves Converting between units
Paolo has a bag of flour. The flour in the bag has a weight of 3 kilograms.
Paolo makes 8 pies using the flour in the bag.
3 of the pies each need 150 grams of the flour. 5 of the pies each need 180 grams of the flour.
Work out the weight of flour that remains in the bag when Paolo has made these pies. Give your answer in grams.
Elvira and Anja go on holiday to Sweden and to Finland.
In Sweden, Elvira bought some trainers for 438 Swedish krona. In Finland, Anja bought the same type of trainers for 44.39 euros.
1 Swedish krona = 0.12 dollars
1 dollar = 0.92 euros
Work out the difference in the cost of the trainers bought by Elvira and the trainers bought by Anja. Give your answer in dollars.
Matt buys a notebook and some pencils.
The notebook costs $2.35 Each pencil costs $0.74
Matt has a total of $20 to spend on the notebook and the pencils. He buys the greatest number of pencils that he can.
Work out how many pencils he buys.
Candles cost £3.05 each. Theo has £30 to spend on candles. He buys as many candles as he can for £30
Work out how much change Theo should get.
Gavin bought 3 pairs of jeans in the USA. He paid a total of $72
Gavin sold the 3 pairs of jeans in England. He sold each pair of jeans for £34.50
£1 = $1.34
Work out Gavin’s percentage profit. Give your answer correct to the nearest whole number.
Also involves Real-life graphs
The graph below can be used to change between euros and dirham.
Use the graph to change 200 dirham to euros.
The price of a jacket is 90 euros in France and 400 dirham in the United Arab Emirates.
In which of these countries is the jacket cheaper? You must show your working.
Lucas is going on a country walk.
Lucas works out how long each part of his walk will take. This information is shown in the following table.
| Time taken | |
| Walk from home to Village A | 20 minutes |
| Walk from Village A to Village B | 35 minutes |
| Stop for lunch in Village B | 1 hour 15 minutes |
| Walk from Village B to home | 30 minutes |
Lucas leaves home at 11 10
At what time will Lucas get home?
Also involves Converting between units
Complete the following sentences by writing a sensible metric unit on each of the dotted lines.
The distance from Cairo to Nairobi is 5211........
The weight of an egg is 20........
The area of the floor of a classroom is 260........
Cara has a bottle of juice. There is 1 litre of juice in the bottle.
Cara makes some drinks. She uses exactly 30 millilitres of this juice to make each drink.
Cara makes as many drinks as possible.
How many drinks does Cara make?
Mike is going to buy
1 hammer at £6 2 boxes of nails at £3.50 for each box 4 pieces of wood at £4.20 for each piece some pairs of gloves at £1.80 for each pair
Mike has £40 to spend in total on these items. He wants to buy as many pairs of gloves as he can.
Work out the greatest number of pairs of gloves that Mike can buy.
Also involves The four operations
Kamal sells 240 ice creams for a total of $640 
of the ice creams he sells are large.
The cost of each large ice cream he sells is $3.80
All the other ice creams he sells are small. He sells each small ice cream for the same cost.
Work out the cost of each small ice cream.
Greg bought 36 oranges. He paid 50p for each orange. Greg sold 
of the oranges for 60p each. He sold 
of the oranges for 40p each.
He sold the remainder of the oranges for 25p each.
Work out Greg’s percentage loss.
Sam takes an English exam. There are two papers in the exam. Each paper has a maximum mark of 80
To pass the exam, Sam needs to get at least 60% of the total marks.
Sam gets 55% of the 80 marks in paper 1
Work out the least number of marks that Sam must get in paper 2 to pass the English exam.
The diagram shows Yuen’s garden.
The garden is in the shape of a semicircle of radius 7.2 m. Yuen is going to cover his garden with grass seed.
Yuen has 12 boxes of grass seed. Each box of grass seed contains enough seed to cover 6 m2 of the garden.
Has Yuen enough grass seed for his garden? Show your working clearly.
Also involves The four operations
The pictogram gives information about the number of rickshaws sold from a garage each month from January to April.
36 rickshaws were sold in January.
Complete the key.
How many rickshaws were sold in February?
15 rickshaws were sold in May from the garage.
Show this information on the pictogram.
Sandeep makes a profit of 5000 rupees on each rickshaw sold from the garage.
His target profit for January was 200 000 rupees.
Did Sandeep reach his target profit for January? You must show your working.
Diego left home on Tuesday at 07 50 He arrived home on the same Tuesday at 17 35
Work out the length of time that Diego was away from home on Tuesday. Give your answer in hours and minutes.
In a shop,
3 bottles of juice cost $5.25
2 bottles of juice and 5 bars of chocolate cost $9.75
Work out the cost of 5 bottles of juice and 3 bars of chocolate.
Change 400 euros to Hong Kong dollars.
Change 418 dirham to euros.
Change 651 Hong Kong dollars to dirham.
Betsy was given $75 for her birthday.
She saved some of the money and spent the rest on a T-shirt and a bag.
Betsy saved 40% of the $75 She spent $12 more on the bag than she spent on the T-shirt.
Work out how much Betsy spent on the bag.
Here is an empty pool in the shape of a cuboid.
The width of the pool is 3 m. The length of the pool is 12 m. The top of the pool is 2.5 m above the base of the pool.
Jeb is going to put water in the pool. The level of the surface of the water will be 60 cm below the top of the pool.
Water flows into the pool at 400 litres per minute. 1 m3 = 1000 litres
How long will it take to fill the pool to 60 cm below the top of the pool? Give your answer in hours and minutes.
Joseph buys some heating oil. He puts it in his oil tank.
The scales show the numbers of litres of oil in the tank immediately before and immediately after Joseph puts the oil in the tank.
The oil Joseph buys costs 0.40 euros per litre.
Work out the total cost of the oil that Joseph buys.
Giovanni arrived at a railway station in Venice at 06 45
Write this time using the 12-hour clock.
Giovanni caught a train from Venice to Rome. The train left Venice at 07 25 and arrived in Rome at 11 10 the same day.
Work out how long the train journey took. Give your answer in hours and minutes.
Here is a conversion graph to change between euros and Australian dollars.
Use the graph to change
50 euros to Australian dollars,
90 Australian dollars to euros.
Sheila is on holiday in Italy and is going to the United Arab Emirates. She knows that
Change 500 euros to dirhams.
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