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Edexcel IGCSE Maths

Topic questions Number Percentages

Percentages

108 questions · 488 marks · about 10 hours

Percentages questions

Edexcel 4MA1 Percentages 108 questions

Paper 1F June 2025 Foundation tier, Question 7 4 marks

The normal price of a calculator is £26.80

Amy gets fraction 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?

[4]
Reveal mark scheme Mark scheme for question 7

Paper 1F June 2025 Foundation tier, Question 12 4 marks

Seb went into a restaurant at 18 15 He left the restaurant at 21 40

(a)

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.

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

What percentage of the meals sold on Friday were vegetarian meals?

[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 1F June 2025 (R) Foundation tier, Question 15 2 marks

Jill scored 119 out of 140 marks in an exam.

Work out Jill’s score as a percentage.

[2]
Reveal mark scheme Mark scheme for question 15

Paper 1F June 2025 Foundation tier, Question 19, also on the Higher paper 6 marks

Anna makes cups. Each cup costs 6 Swiss francs to make.

Anna puts the cups into boxes to sell. Each box contains 4 cups.

Anna sells 80 boxes of cups for a total of 2160 Swiss francs.

(a)

Work out the percentage profit Anna makes. Show your working clearly.

The height of each cup is 9 cm, correct to the nearest cm

[4]
Reveal mark scheme Mark scheme for question 19(a)
(b)

Write down the lower bound of the height.

The weight of each cup is 120 g, correct to the nearest 10 g

[1]
(c)

Write down the upper bound of the weight.

[1]
Reveal mark scheme Mark scheme for question 19(c)

Paper 1F June 2025 Foundation tier, Question 22, also on the Higher paper 3 marks

In a sale, normal prices are reduced by 28% The sale price of a watch is 198 euros.

Work out the normal price of the watch.

[3]
Reveal mark scheme Mark scheme for question 22

Paper 1H June 2025 Higher tier, Question 2, also on the Foundation paper 6 marks

Anna makes cups. Each cup costs 6 Swiss francs to make.

Anna puts the cups into boxes to sell. Each box contains 4 cups.

Anna sells 80 boxes of cups for a total of 2160 Swiss francs.

(a)

Work out the percentage profit Anna makes. Show your working clearly.

The height of each cup is 9 cm, correct to the nearest cm

[4]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Write down the lower bound of the height.

The weight of each cup is 120 g, correct to the nearest 10 g

[1]
(c)

Write down the upper bound of the weight.

[1]
Reveal mark scheme Mark scheme for question 2(c)

Paper 1H June 2025 Higher tier, Question 5, also on the Foundation paper 3 marks

In a sale, normal prices are reduced by 28% The sale price of a watch is 198 euros.

Work out the normal price of the watch.

[3]
Reveal mark scheme Mark scheme for question 5

Paper 1H June 2025 Higher tier, Question 13 3 marks

Charlotte bought an apartment for $750 000

In the first year, the value of the apartment decreased by 4% In the second year, the value of the apartment decreased by 6.5%

In the third year, the value of the apartment increased by x%

At the end of the third year, the value of Charlotte’s apartment was $698 445

Work out the value of x

[3]
Reveal mark scheme Mark scheme for question 13

Paper 2F June 2025 Foundation tier, Question 14 3 marks

Also involves The four operations

A company makes cars.

The company makes 125 cars each hour for 9 hours a day. The company makes cars for 5 days each week.

24% of the cars the company makes are red.

Work out the number of red cars that the company makes each week.

[3]
Reveal mark scheme Mark scheme for question 14

Paper 2F June 2025 (R) Foundation tier, Question 21 5 marks

Joshua is going to cover a floor with tiles for a customer. The area of the floor is 45 m2

Joshua buys one box of tiles for each 1.5 m2 of floor area. Each box of tiles costs £64

Joshua also buys 5 bags of tile adhesive. Each bag of tile adhesive costs £12

Joshua charges the customer £3000

Work out his percentage profit. Give your answer correct to one decimal place.

[5]
Reveal mark scheme Mark scheme for question 21

Paper 2F June 2025 (R) Foundation tier, Question 25 3 marks

In a sale, normal prices are reduced by 15%

The sale price of a dishwasher is 612 Swiss francs.

Work out the normal price of the dishwasher.

[3]
Reveal mark scheme Mark scheme for question 25

Paper 2H June 2025 Higher tier, Question 7 3 marks

Tim buys a bracelet for 4000 Swiss francs. The value of the bracelet increases by 7% each year.

Work out the value of the bracelet at the end of 3 years. Give your answer correct to the nearest Swiss franc.

[3]
Reveal mark scheme Mark scheme for question 7

Paper 1F November 2024 Foundation tier, Question 15 4 marks

Rema buys 140 plants.

35% of the 140 plants cost $6 each. fraction of the 140 plants cost $8 each. The rest of the 140 plants cost $10 each.

Work out the total cost of the 140 plants.

[4]
Reveal mark scheme Mark scheme for question 15

Paper 1F November 2024 Foundation tier, Question 24 4 marks

Shop A and Shop B have offers for buying the same type of laptop.

The normal price of the laptop in Shop A is different to the normal price of the laptop

Figure for question 24

Which shop gives more money off their normal price? Show your working clearly.

[4]
Reveal mark scheme Mark scheme for question 24

Paper 1F June 2024 Foundation tier, Question 14 5 marks

Chaviv makes 490 loaves of bread each week for his shop.

86 of the loaves are sourdough.

(a)

Write 86 as a percentage of 490 Give your answer correct to one decimal place.

A loaf of sourdough bread weighs 375 grams before it is baked.

The loaf loses 12% of its weight when it is baked.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Work out the weight of the loaf after it is baked.

[3]
Reveal mark scheme Mark scheme for question 14(b)

Paper 1F June 2024 (R) Foundation tier, Question 18, also on the Higher paper 5 marks

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.

[5]
Reveal mark scheme Mark scheme for question 18

Paper 1F June 2024 Foundation tier, Question 19, also on the Higher paper 3 marks

Ava records the number of kilometres she drives each month.

In April, Ava drove 943 kilometres. This is 15% more than the number of kilometres she drove in March.

Work out the number of kilometres Ava drove in March.

[3]
Reveal mark scheme Mark scheme for question 19

Paper 1H June 2024 (R) Higher tier, Question 3, also on the Foundation paper 5 marks

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.

[5]
Reveal mark scheme Mark scheme for question 3

Paper 1H June 2024 Higher tier, Question 4, also on the Foundation paper 3 marks

Ava records the number of kilometres she drives each month.

In April, Ava drove 943 kilometres. This is 15% more than the number of kilometres she drove in March.

Work out the number of kilometres Ava drove in March.

[3]
Reveal mark scheme Mark scheme for question 4

Paper 1H June 2024 Higher tier, Question 14 5 marks

Also involves Forming and solving equations

The combined savings of Abel and Bahira are 15 435 dinars.

The savings of Bahira are 45% more than the savings of Abel. The savings of Bahira are fraction times the savings of Chanda.

Work out the savings of Chanda.

[5]
Reveal mark scheme Mark scheme for question 14

Paper 2F June 2024 (R) Foundation tier, Question 14 4 marks

Bilpa, Claudia and David share 1200 euros. Bilpa gets fraction of the 1200 euros. Claudia gets 42% of the 1200 euros.

David gets the rest of the 1200 euros.

Given that

the amount of money Bilpa gets: the amount of money David gets = 1: n

work out the value of n

[4]
Reveal mark scheme Mark scheme for question 14

Paper 2F June 2024 (R) Foundation tier, Question 16 4 marks

Also involves Forming and solving equations

Footballs are made in a factory.

On Monday, 375 footballs per hour were made in the factory. On Monday, footballs were made in the factory for 8 hours.

On Tuesday, 20% more footballs were made than on Monday. On Tuesday, 300 footballs per hour were made in the factory.

Work out for how many hours the factory made footballs on Tuesday.

[4]
Reveal mark scheme Mark scheme for question 16

Paper 2F June 2024 (R) Foundation tier, Question 24 3 marks

In a sale, all normal prices are reduced by 17%

The sale price of a fridge is 6225 rupees.

Work out the normal price of the fridge.

[3]
Reveal mark scheme Mark scheme for question 24

Paper 1H November 2023 Higher tier, Question 3 4 marks

Joshua buys a car for $12 500

He sells the car to Nina.

Nina pays

• a deposit of $1500

• followed by 36 monthly payments of $450

Work out Joshua’s percentage profit.

[4]
Reveal mark scheme Mark scheme for question 3

Paper 1H November 2023 Higher tier, Question 6 4 marks

Juan wants to buy a ticket to fly from Madrid to Berlin.

He finds two different types of ticket he can buy in a sale, ticket A and ticket B

Figure for question 6

The sale price of ticket A is 140 euros. The sale price of ticket B is 136 euros.

Work out the difference between the normal price of ticket A and the normal price of ticket B

[4]
Reveal mark scheme Mark scheme for question 6

Paper 2F November 2023 Foundation tier, Question 13 4 marks

Bella buys 150 football shirts for a total cost of 1800 dollars.

She gives 10% of the shirts to the local football team. Bella sells the rest of the shirts for g dollars each. She makes a total profit of 360 dollars.

Work out the value of g

[4]
Reveal mark scheme Mark scheme for question 13

Paper 1F June 2023 Foundation tier, Question 6 4 marks

Vivienne makes bread.

The weight of yeast she uses is 1% of the weight of flour she uses.

Vivienne uses 750 g of flour.

(a)

Work out the weight of yeast she uses.

Bernard makes currant buns.

For every 400 g of flour he uses, he uses 125 g of currants.

Bernard uses 2000 g of flour.

[2]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Work out the weight of currants he uses.

[2]
Reveal mark scheme Mark scheme for question 6(b)

Paper 1F June 2023 (R) Foundation tier, Question 9 4 marks

The pictogram gives some information about the number of cars sold by each of the four employees of Best Cars in April.

Figure for question 9

In March, Best Cars sold 60 cars in total.

Its target for April was to sell 15% more cars in total than it sold in March.

Show that Best Cars did not meet its target. Show your working clearly.

[4]
Reveal mark scheme Mark scheme for question 9

Paper 1F June 2023 Foundation tier, Question 11 4 marks

Pablo buys some tickets to go to the theatre.

3 of the tickets are for adults. The remaining tickets are for children.

Each adult ticket costs 12 euros. The children’s tickets each cost 30% less than an adult ticket.

The total amount of money that Pablo pays for all the tickets is 94.80 euros.

Find the number of children’s tickets Pablo buys.

[4]
Reveal mark scheme Mark scheme for question 11

Paper 1F June 2023 Foundation tier, Question 18, also on the Higher paper 4 marks

Nanette buys 60 notebooks for a total cost of 780 dirhams.

Nanette sells 70% of the notebooks for 22 dirhams each. She sells the remaining notebooks for 19 dirhams each.

Work out Nanette’s percentage profit. Give your answer correct to 3 significant figures.

[4]
Reveal mark scheme Mark scheme for question 18

Paper 1H June 2023 Higher tier, Question 3, also on the Foundation paper 4 marks

Nanette buys 60 notebooks for a total cost of 780 dirhams.

Nanette sells 70% of the notebooks for 22 dirhams each. She sells the remaining notebooks for 19 dirhams each.

Work out Nanette’s percentage profit. Give your answer correct to 3 significant figures.

[4]
Reveal mark scheme Mark scheme for question 3

Paper 2H June 2023 Higher tier, Question 8 3 marks

Charlotte buys a painting for $680 The value of the painting increases by 4% each year.

Work out the value of the painting at the end of 3 years. Give your answer correct to the nearest $

[3]
Reveal mark scheme Mark scheme for question 8

Paper 1F January 2023 (R) Foundation tier, Question 7 5 marks

(a)

Write these decimals in order of size. Start with the smallest decimal.

0.5 0.54 0.45 0.504 0.405

[1]
(b)

Write 0.08 as a percentage.

[1]
(c)
Question 7, shown as an image
[1]
Reveal mark scheme Mark scheme for question 7(c)
(d)

Find the number that is exactly halfway between fraction and 0.88

[2]
Reveal mark scheme Mark scheme for question 7(d)

Paper 1F January 2023 Foundation tier, Question 10 3 marks

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 PCarton Q
Total volume of orange squash is 250 millilitres 30% of the total volume is orange juice and the remainder is waterTotal 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.

[3]
Reveal mark scheme Mark scheme for question 10

Paper 1F January 2023 Foundation tier, Question 21, also on the Higher paper 7 marks

Shane bought a car.

The amount Shane paid for the car was $32 000

Theresa also bought a car. To pay for this car, Theresa paid a deposit of $18 000 together with 14 monthly payments of $1160

Theresa paid more for her car than Shane paid for his car.

(a)

Work out how much more Theresa paid as a percentage of the amount Shane paid.

Kylie bought a van.

After 1 year, the value of the van was $39 865 During this year, the value of the van decreased by 15%

[4]
Reveal mark scheme Mark scheme for question 21(a)
(b)

Work out the value of the van when Kylie bought it.

[3]
Reveal mark scheme Mark scheme for question 21(b)

Paper 1H January 2023 Higher tier, Question 6, also on the Foundation paper 7 marks

Shane bought a car.

The amount Shane paid for the car was $32 000

Theresa also bought a car. To pay for this car, Theresa paid a deposit of $18 000 together with 14 monthly payments of $1160

Theresa paid more for her car than Shane paid for his car.

(a)

Work out how much more Theresa paid as a percentage of the amount Shane paid.

Kylie bought a van.

After 1 year, the value of the van was $39 865 During this year, the value of the van decreased by 15%

[4]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Work out the value of the van when Kylie bought it.

[3]
Reveal mark scheme Mark scheme for question 6(b)

Paper 2F January 2023 Foundation tier, Question 9 7 marks

Also involves Angle facts

There are 120 cyclists in a cycling club. There are 67 professional cyclists and the rest are amateur cyclists. Each of these cyclists was asked to name their favourite type of bike.

The two-way table shows some information about their answers.

Figure for question 9
(a)

Complete the table.

[3]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Work out the percentage of the cyclists who answered Mountain bike.

Jacob is going to draw a pie chart for the age groups of the 120 cyclists. There are 41 people in the ‘over 60’ age group.

[2]
Reveal mark scheme Mark scheme for question 9(b)
(c)

Work out the size of the angle for the sector representing the ‘over 60’ age group.

[2]
Reveal mark scheme Mark scheme for question 9(c)

Paper 2F January 2023 Foundation tier, Question 13 4 marks

Also involves Forming and solving equations

There are 380 students in a Sixth Form. The students are either in the Upper Sixth or in the Lower Sixth.

The number of students in the Upper Sixth is 20 fewer than the number of students in the Lower Sixth. fraction of the Upper Sixth students study mathematics. 32% of the Lower Sixth students study mathematics.

Work out the total number of students in the Sixth Form who study mathematics.

[4]
Reveal mark scheme Mark scheme for question 13

Paper 2F January 2023 (R) Foundation tier, Question 23, also on the Higher paper 6 marks

Teresa invests $2000 for 3 years in a savings account. She gets 4% each year compound interest.

(a)

How much money will Teresa have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.

Sam invested $T The value of his investment decreased by 9% each year.

At the end of the first year, the value of Sam’s investment was $1365

[3]
Reveal mark scheme Mark scheme for question 23(a)
(b)

Work out the value of T

[3]
Reveal mark scheme Mark scheme for question 23(b)

Paper 2H January 2023 (R) Higher tier, Question 9, also on the Foundation paper 6 marks

Teresa invests $2000 for 3 years in a savings account. She gets 4% each year compound interest.

(a)

How much money will Teresa have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.

Sam invested $T The value of his investment decreased by 9% each year.

At the end of the first year, the value of Sam’s investment was $1365

[3]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Work out the value of T

[3]
Reveal mark scheme Mark scheme for question 9(b)

Paper 2H January 2023 (R) Higher tier, Question 13 3 marks

Also involves Area and perimeter

A rectangle has length L and width W

L is increased by 20% W is decreased by 35%

Calculate the percentage reduction in the area of the rectangle.

[3]
Reveal mark scheme Mark scheme for question 13

Paper 1F June 2022 Foundation tier, Question 14 5 marks

In 2001, the total number of cars produced in the world was 39.8 million.

In 2006, the total number of cars produced in the world was 10.1 million greater than the total number produced in 2001

(a)

Express 10.1 million as a percentage of 39.8 million. Give your answer correct to one decimal place.

In 2011, the total number of cars produced in the world was 59.9 million.

In 2016, the total number of cars produced in the world was 21% greater than the total number produced in 2011

In 2016, the total number of cars produced in the world was N million.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Work out the value of N. Give your answer correct to the nearest whole number.

[3]
Reveal mark scheme Mark scheme for question 14(b)

Paper 1F June 2022 Foundation tier, Question 21, also on the Higher paper 6 marks

Asha bought an apartment.

The table gives information about the value of apartments, in euros, and the annual service charge band.

Value (x euros)Service charge band
x 700 000A
600 000 x 700 000B
500 000 x 600 000C
400 000 x 500 000D
0 x 400 000E

In 2021, the value of Asha’s apartment was 634 400 euros.

The value of Asha’s apartment had increased by 4% from its value in 2020

(a)

Has the annual service charge band changed for Asha’s apartment? Show your working clearly.

[3]
Reveal mark scheme Mark scheme for question 21(a)
(b)

Pam bought a boat.

In each year after Pam bought the boat, the value of the boat depreciated by 15%

Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat.

[3]
Reveal mark scheme Mark scheme for question 21(b)

Paper 1H June 2022 (R) Higher tier, Question 4 4 marks

The language department of a college has 180 students. Each student studies exactly one of French, German, Italian or Spanish.

15 students study French. 45% of the students study German.

Express the percentage of students studying Italian or Spanish as a percentage of those studying French or German.

[4]
Reveal mark scheme Mark scheme for question 4

Paper 1H June 2022 Higher tier, Question 6, also on the Foundation paper 6 marks

Asha bought an apartment.

The table gives information about the value of apartments, in euros, and the annual service charge band.

Value (x euros)Service charge band
x 700 000A
600 000 x 700 000B
500 000 x 600 000C
400 000 x 500 000D
0 x 400 000E

In 2021, the value of Asha’s apartment was 634 400 euros.

The value of Asha’s apartment had increased by 4% from its value in 2020

(a)

Has the annual service charge band changed for Asha’s apartment? Show your working clearly.

[3]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Pam bought a boat.

In each year after Pam bought the boat, the value of the boat depreciated by 15%

Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat.

[3]
Reveal mark scheme Mark scheme for question 6(b)

Paper 1H June 2022 (R) Higher tier, Question 8 3 marks

Also involves Rounding

Jane bought a new car for $18 000 The car depreciates in value by 15% each year.

Work out the value of the car at the end of 4 years. Give your answer correct to the nearest $

[3]
Reveal mark scheme Mark scheme for question 8

Paper 1H June 2022 Higher tier, Question 13 5 marks

Also involves Forming and solving equations

Antoine is going on holiday. He makes 3 separate payments to cover the total cost of his holiday.

The following table shows how much money Antoine pays to the holiday company.

PaymentAmount paid
Payment 183 of the total cost
Payment 245% of the total cost
Payment 3$406

Work out how much Antoine has to pay for Payment 2

[5]
Reveal mark scheme Mark scheme for question 13

Paper 2F June 2022 (R) Foundation tier, Question 25, also on the Higher paper 3 marks

A cinema increased the cost of an adult ticket by 12%

After the increase, the cost of an adult ticket was £18.20

Work out the cost of an adult ticket before the increase.

[3]
Reveal mark scheme Mark scheme for question 25

Paper 2H June 2022 (R) Higher tier, Question 8, also on the Foundation paper 3 marks

A cinema increased the cost of an adult ticket by 12%

After the increase, the cost of an adult ticket was £18.20

Work out the cost of an adult ticket before the increase.

[3]
Reveal mark scheme Mark scheme for question 8

Paper 1F January 2022 Foundation tier, Question 9 5 marks

(a)
9 Question 9, shown as an image

There are 30 dogs staying in some boarding kennels. 12 of the dogs are brown.

[1]
(b)

What fraction of the dogs in the boarding kennels are not brown? Give your fraction in its simplest form.

[2]
Reveal mark scheme Mark scheme for question 9(b)
(c)
Question 9, shown as an image
[2]
Reveal mark scheme Mark scheme for question 9(c)

Paper 1F January 2022 (R) Foundation tier, Question 9 4 marks

In November, Andre received a monthly salary of 2500 euros.

Of this he spent

40% on his rent 300 euros on leisure

The rest of Andre’s monthly salary was spent on household bills and on food where

the amount spent on household bills: the amount spent on food = 3: 7

Work out how much of his November monthly salary Andre spent on food.

[4]
Reveal mark scheme Mark scheme for question 9

Paper 1F January 2022 Foundation tier, Question 19, also on the Higher paper 5 marks

Sarah makes and sells mugs.

One day she makes 150 mugs. Her total cost for making these mugs is £1140

Of these mugs

Question 19, shown as an image

32% are medium mugs and the rest are large mugs

Here is Sarah’s price list for selling each mug.

Figure for question 19

Sarah sells all 150 mugs.

Work out her percentage profit. Give your answer correct to the nearest whole number.

[5]
Reveal mark scheme Mark scheme for question 19

Paper 1H January 2022 Higher tier, Question 4, also on the Foundation paper 5 marks

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

Question 4, shown as an image

32% are medium mugs and the rest are large mugs

Here is Sarah’s price list for selling each mug.

Figure for question 4

Sarah sells all 150 mugs.

Work out her percentage profit. Give your answer correct to the nearest whole number.

[5]
Reveal mark scheme Mark scheme for question 4

Paper 1H January 2022 Higher tier, Question 11 3 marks

Also involves Rounding

Himari invests 200 000 yen for 3 years in a savings account paying compound interest.

The rate of interest is 1.8% for the first year and x% for each of the second year and the third year.

The value of the investment at the end of the third year is 209 754 yen.

Work out the value of x Give your answer correct to one decimal place.

[3]
Reveal mark scheme Mark scheme for question 11

Paper 2F January 2022 (R) Foundation tier, Question 12 3 marks

Also involves Rounding

Maria is going to make some flapjacks.

Here are four of the ingredients that she will use.

175 g butter 175 g syrup 175 g sugar 330 g oats

What percentage of these four ingredients is oats? Give your answer correct to 3 significant figures.

[3]
Reveal mark scheme Mark scheme for question 12

Paper 2F January 2022 (R) Foundation tier, Question 19, also on the Higher paper 7 marks

Mary saves for a holiday each year.

In 2020 she saved a total of $720 In 2021, each month she saved $78

The total amount Mary saved in 2021 was P% more than the total she saved in 2020

(a)

Work out the value of P

Roberto is going to go on holiday.

He has two coupons that will save him money on his holiday.

Figure for question 19

For Roberto’s holiday the cost of the accommodation is $1600 the cost of the flights is $800

Roberto can only use one of the coupons. He wants to save as much money as he can.

[4]
Reveal mark scheme Mark scheme for question 19(a)
(b)

Which of the two coupons, A or B, should he use? Show your working clearly.

[3]
Reveal mark scheme Mark scheme for question 19(b)

Paper 2H January 2022 (R) Higher tier, Question 2, also on the Foundation paper 7 marks

Mary saves for a holiday each year.

In 2020 she saved a total of $720 In 2021, each month she saved $78

The total amount Mary saved in 2021 was P% more than the total she saved in 2020

(a)

Work out the value of P

Roberto is going to go on holiday.

He has two coupons that will save him money on his holiday.

Figure for question 2

For Roberto’s holiday the cost of the accommodation is $1600 the cost of the flights is $800

Roberto can only use one of the coupons. He wants to save as much money as he can.

[4]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Which of the two coupons, A or B, should he use? Show your working clearly.

[3]
Reveal mark scheme Mark scheme for question 2(b)

Paper 2H January 2022 Higher tier, Question 8 5 marks

The table gives information about the average house price in England in 2018 and

Figure for question 8
(a)

Work out the percentage increase in the average house price from 2018 to 2019 Give your answer correct to one decimal place.

The average house price in 2019 was 7.7% greater than the average house price in 2017

[2]
Reveal mark scheme Mark scheme for question 8(a)
(b)

Work out the average house price in 2017 Give your answer correct to 3 significant figures.

[3]
Reveal mark scheme Mark scheme for question 8(b)

Paper 1F November 2021 Foundation tier, Question 3 5 marks

The bar chart shows information about the numbers of text messages that Susan and Philip sent from their mobile phones on each of six days one week.

Figure for question 3
(a)

On which day did Susan send twice as many text messages as Philip?

[1]
(b)

How many text messages did Philip send on Sunday?

On Saturday, Susan sent 15 text messages and Philip sent 40 text messages.

[1]
(c)

Show this information on the bar chart.

[1]
(d)

In the following week, Philip sent a total of 180 text messages. Of these text messages, 25% were sent to Susan.

Work out 25% of 180

[2]
Reveal mark scheme Mark scheme for question 3(d)

Paper 1F November 2021 Foundation tier, Question 15 4 marks

There are 54 fish in a tank. Some of the fish are white and the rest of the fish are red.

Jeevan takes at random a fish from the tank. The probability that he takes a white fish is fraction

(a)

Work out the number of white fish originally in the tank.

Jeevan puts the fish he took out, back into the tank. He puts some more white fish into the tank.

Jeevan takes at random a fish from the tank. The probability that he takes a white fish is now fraction

[2]
Reveal mark scheme Mark scheme for question 15(a)
(b)

Work out the number of white fish Jeevan put into the tank.

[2]
Reveal mark scheme Mark scheme for question 15(b)

Paper 1F January 2021 (R) Foundation tier, Question 7 5 marks

Also involves Angle facts

Cate asked the 60 members of a leisure centre how many times they had each visited the leisure centre last week.

The table gives information about her results.

Number of visitsFrequency
04
112
217
320
47
(a)

Write down the mode of the number of visits.

Cate is going to draw a pie chart for the information in the table.

[1]
(b)

Work out the size of the angle in the pie chart for the sector representing 1 visit.

35% of the 60 members are aged 50 or over.

[2]
(c)

Work out how many of the members are aged 50 or over.

[2]
Reveal mark scheme Mark scheme for question 7(c)

Paper 1F January 2021 (R) Foundation tier, Question 12 5 marks

Rose and Haydn share £250 in the ratio 2: 3

Rose gives all her share of the money to charity. Haydn gives 42% of his share of the money to charity.

Rose gives more money to charity than Haydn gives to charity.

Work out how much more.

[5]
Reveal mark scheme Mark scheme for question 12

Paper 1F January 2021 Foundation tier, Question 13 5 marks

(a)

Express 180 as a percentage of 750

Zaina has booked a singer for a show. The singer will get 94% of the total money from the ticket sales.

The cost of each ticket for the show is 32.50 dirhams. Zaina sells 180 tickets.

[2]
Reveal mark scheme Mark scheme for question 13(a)
(b)

Work out the amount of money the singer will get.

[3]
Reveal mark scheme Mark scheme for question 13(b)

Paper 1F January 2021 Foundation tier, Question 23, also on the Higher paper 6 marks

Chen invests 40 000 yuan in a fixed-term bond for 3 years.

The fixed-term bond pays compound interest at a rate of 3.5% each year.

(a)

Work out the value of Chen’s investment at the end of 3 years. Give your answer to the nearest yuan.

Wang invested P yuan. The value of his investment decreased by 6.5% each year.

At the end of the first year, the value of Wang’s investment was 30 481 yuan.

[3]
Reveal mark scheme Mark scheme for question 23(a)
(b)

Work out the value of P.

[3]
Reveal mark scheme Mark scheme for question 23(b)

Paper 1H January 2021 Higher tier, Question 7, also on the Foundation paper 6 marks

Chen invests 40 000 yuan in a fixed-term bond for 3 years.

The fixed-term bond pays compound interest at a rate of 3.5% each year.

(a)

Work out the value of Chen’s investment at the end of 3 years. Give your answer to the nearest yuan.

Wang invested P yuan. The value of his investment decreased by 6.5% each year.

At the end of the first year, the value of Wang’s investment was 30 481 yuan.

[3]
Reveal mark scheme Mark scheme for question 7(a)
(b)

Work out the value of P.

[3]
Reveal mark scheme Mark scheme for question 7(b)

Paper 2F January 2021 Foundation tier, Question 4 5 marks

A rectangle is made from 30 small coloured square tiles.

Figure for question 4

There are yellow tiles, blue tiles and red tiles.

30% of the rectangle is made from yellow tiles. fraction of the rectangle is made from blue tiles.

The rest of the rectangle is made from red tiles.

(a)

Work out the number of red tiles.

[3]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Put the following numbers in order of size. Start with the smallest number.

0.76 25% 0.0766 8% 0.026

[2]
Reveal mark scheme Mark scheme for question 4(b)

Paper 2F January 2021 Foundation tier, Question 17 6 marks

Gladys buys a table for $465 to sell in her shop.

She sells the table for $520

(a)

Work out the percentage profit that Gladys makes from the sale of the table. Give your answer correct to 3 significant figures.

Gladys has a sale in her shop.

She decreases all the normal prices by 12% The normal price of an armchair was $550

[3]
Reveal mark scheme Mark scheme for question 17(a)
(b)

Work out the sale price of the armchair.

[3]
Reveal mark scheme Mark scheme for question 17(b)

Paper 2H January 2021 (R) Higher tier, Question 6 3 marks

On Wednesday, the price of 1 litre of petrol was £1.26 The price of petrol on Wednesday was 5% more than the price of petrol on the previous Monday.

Calculate the price of 30 litres of petrol on the previous Monday.

[3]
Reveal mark scheme Mark scheme for question 6

Paper 2H January 2021 (R) Higher tier, Question 14 4 marks

Also involves Quadratic equations · Forming and solving equations

Simon bought a house at the beginning of 2018 The value of Simon’s house had decreased by 15% by the end of 2018

The house increased in value during both 2019 and 2020 The percentage increases in the value of the house during 2019 and 2020 were the same.

The value of Simon’s house at the end of 2020 was 2.85% greater than the amount he paid for his house at the beginning of 2018

Calculate the percentage increase in the value of the house during 2019

[4]
Reveal mark scheme Mark scheme for question 14

Paper 1F November 2020 Foundation tier, Question 12 4 marks

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.

[4]
Reveal mark scheme Mark scheme for question 12

Paper 1F November 2020 (R) Foundation tier, Question 21, also on the Higher paper 6 marks

In 2017, the population of a village was 7500 In 2019, the population of the village was 8265

(a)

Work out the percentage increase in the population of the village from 2017 to 2019

In a sale, normal prices are reduced by 30% The sale price of a T‑shirt was 31.50 euros.

[3]
Reveal mark scheme Mark scheme for question 21(a)
(b)

Work out the normal price of the T‑shirt.

[3]
Reveal mark scheme Mark scheme for question 21(b)

Paper 1F November 2020 Foundation tier, Question 22, also on the Higher paper 3 marks

In a sale, normal prices are reduced by 20%

A bag costs 1080 rupees in the sale.

Work out the normal price of the bag.

[3]
Reveal mark scheme Mark scheme for question 22

Paper 1H November 2020 Higher tier, Question 2 4 marks

Also involves Compound measures

Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds.

For the toy cars made each day, the probability of a toy car being faulty is 0.002

Work out an estimate of the number of faulty toy cars that are made each day.

[4]
Reveal mark scheme Mark scheme for question 2

Paper 1H November 2020 (R) Higher tier, Question 5, also on the Foundation paper 6 marks

In 2017, the population of a village was 7500 In 2019, the population of the village was 8265

(a)

Work out the percentage increase in the population of the village from 2017 to 2019

In a sale, normal prices are reduced by 30% The sale price of a T‑shirt was 31.50 euros.

[3]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Work out the normal price of the T‑shirt.

[3]
Reveal mark scheme Mark scheme for question 5(b)

Paper 1H November 2020 (R) Higher tier, Question 8 3 marks

Harold bought an antique clock for £1200 The clock increased in value by 8% per year.

Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £.

[3]
Reveal mark scheme Mark scheme for question 8

Paper 1H November 2020 Higher tier, Question 9, also on the Foundation paper 3 marks

In a sale, normal prices are reduced by 20%

A bag costs 1080 rupees in the sale.

Work out the normal price of the bag.

[3]
Reveal mark scheme Mark scheme for question 9

Paper 2F November 2020 Foundation tier, Question 13 5 marks

The diagram shows the plan of Sophia’s gym floor.

Figure for question 13

Sophia is going to paint all the gym floor.

Each tin of paint she is going to use covers an area of 20 m2

There is a special offer on the paint that Sophia is going to buy.

Figure for question 13

Work out the least amount of money that Sophia has to pay in order to buy all the paint she needs. Show your working clearly.

[5]
Reveal mark scheme Mark scheme for question 13

Paper 2F November 2020 Foundation tier, Question 20, also on the Higher paper 6 marks

Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%

(a)

Work out Himari’s salary after this increase.

Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%

[3]
Reveal mark scheme Mark scheme for question 20(a)
(b)

Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.

[3]
Reveal mark scheme Mark scheme for question 20(b)

Paper 2H November 2020 Higher tier, Question 5, also on the Foundation paper 6 marks

Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%

(a)

Work out Himari’s salary after this increase.

Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%

[3]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.

[3]
Reveal mark scheme Mark scheme for question 5(b)

Paper 1F January 2020 Foundation tier, Question 12 4 marks

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.

[4]
Reveal mark scheme Mark scheme for question 12

Paper 1F January 2020 (R) Foundation tier, Question 12 5 marks

Greg bought 36 oranges. He paid 50p for each orange. Greg sold fraction of the oranges for 60p each. He sold fraction of the oranges for 40p each.

He sold the remainder of the oranges for 25p each.

Work out Greg’s percentage loss.

[5]
Reveal mark scheme Mark scheme for question 12

Paper 1F January 2020 (R) Foundation tier, Question 21, also on the Higher paper 3 marks

In a sale, the normal price of a hat is reduced by 15% The sale price of the hat is 20.40 euros.

Work out the normal price of the hat.

[3]
Reveal mark scheme Mark scheme for question 21

Paper 1H January 2020 (R) Higher tier, Question 7, also on the Foundation paper 3 marks

In a sale, the normal price of a hat is reduced by 15% The sale price of the hat is 20.40 euros.

Work out the normal price of the hat.

[3]
Reveal mark scheme Mark scheme for question 7

Paper 1H January 2020 Higher tier, Question 11 3 marks

Also involves Rounding

Max invests $6000 in a savings account for 3 years. The account pays compound interest at a rate of 1.5% per year for the first 2 years.

The compound interest rate changes for the third year. At the end of 3 years, there is a total of $6311.16 in the account.

Work out the compound interest rate for the third year. Give your answer correct to 1 decimal place.

[3]
Reveal mark scheme Mark scheme for question 11

Paper 2F January 2020 Foundation tier, Question 12 3 marks

In 2018, Salman saved 120 riyals each month.

At the start of 2019, Salman increased 120 riyals by 7.5% He then saved this new amount each month during 2019

Work out how much money Salman saved in total in 2019

[3]
Reveal mark scheme Mark scheme for question 12

Paper 2F January 2020 (R) Foundation tier, Question 13 4 marks

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.

[4]
Reveal mark scheme Mark scheme for question 13

Paper 2F January 2020 (R) Foundation tier, Question 14 6 marks

Iona buys a box of cereal.

The cereal in the box weighs 0.75 kg. Each helping of the cereal eaten by Iona has a weight of 40 g.

(a)

Write 40 g as a fraction of 0.75 kg. Give your answer in its simplest form.

The cereal in the box contains 6.8 g of protein for each 100 g of cereal.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Work out the amount of protein in each of Iona’s helpings of cereal.

3 g of every 40 g helping of cereal is fat.

[2]
Reveal mark scheme Mark scheme for question 14(b)
(c)

Write 3 g as a percentage of 40 g.

[2]
Reveal mark scheme Mark scheme for question 14(c)

Paper 2F January 2020 Foundation tier, Question 24 7 marks

The table shows the cost, in euros, of Brigitte’s car insurance in each of the years 2016, 2017 and 2018

Year201620172018
Cost of insurance (euros)500545592

Brigitte says,

“The percentage increase in the cost of my car insurance from 2017 to 2018 is more than the percentage increase in the cost of my car insurance from 2016 to 2017”

(a)

Is Brigitte correct? You must show how you get your answer.

[4]
Reveal mark scheme Mark scheme for question 24(a)
(b)

Henri wants to insure his car.

He gets a discount of 15% off the normal price. Henri pays 952 euros for his car insurance after the discount.

Work out the discount that Henri gets.

[3]
Reveal mark scheme Mark scheme for question 24(b)

Paper 2H January 2020 (R) Higher tier, Question 8 3 marks

Hamish buys a new car for $20 000 The car depreciates in value by 19% each year.

Work out the value of the car at the end of 3 years. Give your answer to the nearest $.

[3]
Reveal mark scheme Mark scheme for question 8

Paper 1H June 2019 (R) Higher tier, Question 6 6 marks

Lorenzo increases all the prices on his restaurant menu by 8%

Before the increase, the price of a dessert was $4.25

(a)

Work out the price of the dessert after the increase.

[3]
Reveal mark scheme Mark scheme for question 6(a)
(b)

After the increase, the price of lasagne is $9.45

Work out the price of lasagne before the increase.

[3]
Reveal mark scheme Mark scheme for question 6(b)

Paper 2H June 2019 Higher tier, Question 5 8 marks

Josh buys and sells books for a living.

He buys 120 books for £4 each. He sells fraction of the books for £5 each. He sells 40% of the books for £7 each. He sells the rest of the books for £8 each.

(a)

Calculate Josh’s percentage profit.

[5]
Reveal mark scheme Mark scheme for question 5(a)
(b)

One book that Josh owns had a value of £15 on the 1st May 2019 The value of this book had increased by 20% in the last year.

Find the value of the book on the 1st May 2018

[3]
Reveal mark scheme Mark scheme for question 5(b)

Paper 2H June 2019 Higher tier, Question 11 6 marks

The table gives the average crowd attendance per match for each of five football clubs for one season.

Football clubAverage crowd attendance
Monaco9.5 103
Chelsea4.2 104
Juventus3.9 104
Oxford United8.3 103
Barcelona7.7 104
(a)

Find the difference between the average crowd attendance for Barcelona and the average crowd attendance for Monaco. Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Antonio says,

“The average crowd attendance for Chelsea is approximately 50 times that for Oxford United.”

Is Antonio correct? You must give a reason for your answer.

[2]
Reveal mark scheme Mark scheme for question 11(b)
(c)

During last season the cost of a ticket to watch Seapron United increased by 15% and then decreased by 8%

Work out the overall percentage change in the cost of a ticket to watch Seapron United during last season.

[2]
Reveal mark scheme Mark scheme for question 11(c)

Paper 1F June 2018 Foundation tier, Question 6 5 marks

The two-way table shows some information about where 50 people went for their last holiday.

Figure for question 6
(a)

Complete the table.

[3]
Reveal mark scheme Mark scheme for question 6(a)
(b)

What percentage of these 50 people were female and went on holiday in Africa?

[2]
Reveal mark scheme Mark scheme for question 6(b)

Paper 1F June 2018 Foundation tier, Question 13, also on the Higher paper 5 marks

There are some people in a cinema. fraction of the people in the cinema are children. For the children in the cinema,

number of girls: number of boys = 2: 7

There are 170 girls in the cinema.

Work out the number of adults in the cinema.

[5]
Reveal mark scheme Mark scheme for question 13

Paper 1F June 2018 Foundation tier, Question 21, also on the Higher paper 6 marks

Chao bought a boat for HK$160 000 The value of the boat depreciates by 4% each year.

(a)

Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest HK$.

[3]
Reveal mark scheme Mark scheme for question 21(a)
(b)

Jalina gets a salary increase of 5% Her salary after the increase is HK$252 000

Work out Jalina’s salary before the increase.

[3]
Reveal mark scheme Mark scheme for question 21(b)

Paper 1H June 2018 Higher tier, Question 2, also on the Foundation paper 5 marks

There are some people in a cinema. fraction of the people in the cinema are children. For the children in the cinema,

number of girls: number of boys = 2: 7

There are 170 girls in the cinema.

Work out the number of adults in the cinema.

[5]
Reveal mark scheme Mark scheme for question 2

Paper 1H June 2018 Higher tier, Question 7, also on the Foundation paper 6 marks

Chao bought a boat for HK$160 000 The value of the boat depreciates by 4% each year.

(a)

Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest HK$.

[3]
Reveal mark scheme Mark scheme for question 7(a)
(b)

Jalina gets a salary increase of 5% Her salary after the increase is HK$252 000

Work out Jalina’s salary before the increase.

[3]
Reveal mark scheme Mark scheme for question 7(b)

Paper 1H June 2018 (R) Higher tier, Question 12 7 marks

A company makes cars.

In 2016, the company made 350 cars.

In the first 6 months of 2017, the company made 25 cars each month. In the last 6 months of 2017, the company made 45 cars each month.

(a)

Work out the percentage increase in the number of cars the company made from 2016 to 2017

[4]
Reveal mark scheme Mark scheme for question 12(a)
(b)

The company’s income in 2017 was $500 000 more than the company’s income in 2016

The company’s income in 2017 was 8% more than the company’s income in 2016

Work out the company’s income in 2016

[3]
Reveal mark scheme Mark scheme for question 12(b)

Paper 2F June 2018 (R) Foundation tier, Question 4 5 marks

(a)

Write 0.4 as a percentage.

[1]
(b)

What is 42 out of 80 as a percentage?

[2]
Reveal mark scheme Mark scheme for question 4(b)
(c)

Work out 72% of 350 cm.

[2]
Reveal mark scheme Mark scheme for question 4(c)

Paper 2F June 2018 Foundation tier, Question 17, also on the Higher paper 4 marks

Gopal is paid 20 000 rupees each month. Jamuna is paid 19 200 rupees each month.

Gopal and Jamuna are both given an increase in their monthly pay. After the increase, they are both paid the same amount each month.

Gopal was given an increase of 8%

Work out the percentage increase that Jamuna was given.

[4]
Reveal mark scheme Mark scheme for question 17

Paper 2F June 2018 (R) Foundation tier, Question 18, also on the Higher paper 4 marks

Behnaz makes candles.

She has 6.3 kilograms of wax and uses it all to make candles. Each candle Behnaz makes uses 210 grams of wax. Behnaz sells fraction of the candles for $13 each. She then reduces this price by 20% and sells the rest of the candles.

Work out the total amount of money Behnaz gets by selling all the candles she made.

[4]
Reveal mark scheme Mark scheme for question 18

Paper 2H June 2018 Higher tier, Question 3, also on the Foundation paper 4 marks

Also involves Forming and solving equations

Gopal is paid 20 000 rupees each month. Jamuna is paid 19 200 rupees each month.

Gopal and Jamuna are both given an increase in their monthly pay. After the increase, they are both paid the same amount each month.

Gopal was given an increase of 8%

Work out the percentage increase that Jamuna was given.

[4]
Reveal mark scheme Mark scheme for question 3

Paper 2H June 2018 (R) Higher tier, Question 3, also on the Foundation paper 4 marks

Behnaz makes candles.

She has 6.3 kilograms of wax and uses it all to make candles. Each candle Behnaz makes uses 210 grams of wax. Behnaz sells fraction of the candles for $13 each. She then reduces this price by 20% and sells the rest of the candles.

Work out the total amount of money Behnaz gets by selling all the candles she made.

[4]
Reveal mark scheme Mark scheme for question 3

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