Percentages

Write 0.7 as a percentage.

20% of cars sold last year were electric cars. Write down the ratio of the number of electric cars sold last year to the number of non-electric cars sold last year. Give your ratio in its simplest form.

A village hall needs a new heating system. The cost of the heating system is £9000 A community grant will pay 85% of this cost. The village council will pay the rest of the cost. Work out how much the village council will pay.

24This year the total weight of potatoes grown on a farm is less than last year. This year the total weight of potatoes grown is 8000 tonnes. Work out the total weight of potatoes grown last year.

This year the total weight of potatoes grown on a farm is less than last year. This year the total weight of potatoes grown is 8000 tonnes. Work out the total weight of potatoes grown last year.

Write 19% as a fraction.

There are 200 counters in a bag. 87 of the counters are green. 24 of the counters are yellow.

What fraction of the counters are green?

What percentage of the counters are yellow?

Amy buys a car. The car costs £12 000 Amy pays a deposit of 20% of the cost. She pays the rest of the cost in 24 equal monthly payments. Amy says that each monthly payment is less than £450 Is Amy correct? You must show how you get your answer.

Mia pays £25 for 200 oranges. Mia puts the oranges into bags. She puts 5 oranges into each bag. Mia sells all the bags of oranges for £1 each bag. Work out Mia’s percentage profit.

Mia pays £25 for 200 oranges. Mia puts the oranges into bags. She puts 5 oranges into each bag. Mia sells all the bags of oranges for £1 each bag. Work out Mia’s percentage profit.

The price of a holiday is increased by 10% After the increase, the price of the holiday is £440 Jim says, “10% of £440 is £44 so the price of the holiday before the increase was £396”

Is Jim correct? Explain your answer.

Tina sells bikes. In November, Tina sold 25% fewer bikes than she sold in October. In December, Tina sold 50% more bikes than she sold in November. In December, Tina sold 180 bikes.

How many bikes did Tina sell in October?

Write 25% as a decimal.

The cumulative frequency graph gives information about the marks that 60 students got in a test.

For thes e 60 students

On the grid below, draw a box plot for the distribution of the marks.

The pass mark for the test was 40 Sian says, “30% of the 60 students passed the test.”

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

Write 17% as a fraction.

180 tickets are sold for a concert. 60% of the tickets are child tickets. The rest of the tickets are adult tickets. The total cost of the 180 tickets is £1944 Each child ticket costs £8 Work out the cost of each adult ticket.

Last year Emma’s car insurance cost £285 This year her car insurance costs 7% less.

Work out the cost of Emma’s car insurance this year.

Peter sells bikes. Each month he is paid £1700 plus a bonus. The bonus is 5% of the total value of the bikes he sells that month. Last month Peter was paid £2100

Work out the total value of the bikes he sold last month.

The cost of a first class stamp increased from 76p to 85p. The cost of a second class stamp increased from 65p to 66p. Filip says, “ The percentage increase in the cost of a first class stamp is more than 7 times the percentage increase in the cost of a second class stamp.” Is Filip correct? You must show all your working.

The cost of a first class stamp increased from 76p to 85p. The cost of a second class stamp increased from 65p to 66p. Filip says, “ The percentage increase in the cost of a first class stamp is more than 7 times the percentage increase in the cost of a second class stamp.” Is Filip correct? You must show all your working.

There are 200 people at a party. of the people are children. The rest of the people are adults. 35% of the children are vegetarian. 45% of the adults are vegetarian. How many of the people are not vegetarian?

Robyn buys a total of 240 pens and pencils, where number of pens: number of pencils = 3: 5 Robyn pays 9p for each pen. She sells each pen for 11p. Robyn pays 6p for each pencil. She sells each pencil for 10p. Robyn sells all of the pens and pencils. Work out Robyn’s percentage profit. Give your answer correct to 1 decimal place. You must show all your working.

Robyn buys a total of 240 pens and pencils, where number of pens: number of pencils = 3: 5 Robyn pays 9p for each pen. She sells each pen for 11p. Robyn pays 6p for each pencil. She sells each pencil for 10p. Robyn sells all of the pens and pencils. Work out Robyn’s percentage profit. Give your answer correct to 1 decimal place. You must show all your working.

In a sale, the normal prices are reduced by 15% Amina buys a dress in the sale for £46.75 Work out the normal price of the dress.

Write 0.3 as a percentage.

Kasim has some small jars, some medium jars and some large jars. He has a total of 400 jars. of the 400 jars are empty. For the empty jars, number of small jars: number of medium jars = 3: 4 number of medium jars: number of large jars = 1: 2 Work out the percentage of Kasim’s jars that are empty small jars.

In a sale, normal prices are reduced by 30% The sale price of a TV is £280 Work out the normal price of the TV.

Kasim has some small jars, some medium jars and some large jars. He has a total of 400 jars. of the 400 jars are empty. For the empty jars, number of small jars: number of medium jars = 3: 4 number of medium jars: number of large jars = 1: 2 Work out the percentage of Kasim’s jars that are empty small jars.

In a sale, the normal price of a coat is reduced by R% Given that sale price = 0.7 × normal price find the value of R.

£3500 is invested in a bank for 6 years. The bank pays simple interest at a rate of 2.5% per year. Work out the total amount of simple interest paid.

Mrs Simpson organised a school trip for 66 children. The total cost of the trip was £1800 The school paid 56% of the total cost. The rest of the total cost was divided equally between the 66 children. Work out how much money each child paid.

Andy, Luke and Tina share some sweets in the ratio 1: 6: 14 Tina gives of her sweets to Andy. Tina then gives 12 % of the rest of her sweets to Luke. Tina says, “Now all three of us have the same number of sweets.” Is Tina correct? You must show how you get your answer.

Andy, Luke and Tina share some sweets in the ratio 1: 6: 14 Tina gives of her sweets to Andy. Tina then gives 12 % of the rest of her sweets to Luke. Tina says, “Now all three of us have the same number of sweets.” Is Tina correct? You must show how you get your answer.

Write 23% as a fraction.

Which is greater 15% of 88 or 20% of 62? You must show all your working.

Steve is buying a car. The car costs £12 000 Steve pays 25% of the cost as a deposit. He pays the rest of the cost in 20 equal monthly payments. How much is each monthly payment?

Shah takes an exam. The exam is out of 60 marks. Shah needs to score at least 70% of the marks to pass the exam. He scores 45 marks. Show that Shah passes the exam.

The normal price of a mattress is reduced by 40% in a sale. The price of the mattress in the sale is £660 Work out the normal price of the mattress.

Work out 50% of 240

Martha and Nabeel share £120 Martha gets 72% of the money. She spends 30% of the money she gets. How much money does Martha have left?

Karen is organising a party for a charity. She spends £100 on food £120 on a hall £80 on a DJ. Karen sells 54 tickets for the party. Each ticket costs £7.50 Work out the percentage profit Karen makes for the charity.

Karen is organising a party for a charity. She spends £100 on food £120 on a hall £80 on a DJ. Karen sells 54 tickets for the party. Each ticket costs £7.50 Work out the percentage profit Karen makes for the charity.

Write 35% as a decimal.

Write 38% as a decimal.

Last week, 73% of the tickets sold at a cinema were adult tickets.

What percentage of the tickets sold were not adult tickets?

Some people watched a film at the cinema. number of adults: number of children = 2: 5

What fraction of these people were adults?

On Friday, 500 people watched a film at the cinema. 70% of these people were children. On Saturd ay, 720 people watched the film at the cinema. of these people were children. Kasim thinks more children watched the film on Friday than on Saturday.

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

There are 200 counters in a bag. 38 counters are red. 52 counters are blue. The rest of the counters are yellow or green. There are the same number of yellow counters as green counters. What percentage of the counters in the bag are yellow?

The price of a holiday increases by 20% This 20% increase adds £240 to the price of the holiday. Work out the price of the holiday before the increase.

The price of a holiday increases by 20% This 20% increase adds £240 to the price of the holiday. Work out the price of the holiday before the increase.

240 people work at a factory. Of these people 150 have a car 110 have a bicycle 65 of the people who have a bicycle do not have a car.

Use this information to complete the frequency tree.

What percentage of the 150 people who have a car also have a bicycle?

Last year a family recycled 800 kg of household waste. 57% of this waste was paper and glass. weight of paper recycled: weight of glass recycled = 12: 7 Calculate the weight of glass the family recycled.

Last year a family recycled 800 kg of household waste. 57% of this waste was paper and glass. weight of paper recycled: weight of glass recycled = 12: 7 Calculate the weight of glass the family recycled.

Jenny invests £3000 for 6 years at y % simple interest per year. At the end of the 6 years, Jenny has received a total of £450 in interest. Work out the value of y.

Jonny wants to know how much coffee he will need for 800 people at a meeting. Each person who drinks coffee will drink 2 cups of coffee. 10.6 g of coffee is needed for each cup of coffee. Jonny assumes 68% of the people will drink coffee.

Using this assumption, work out the amount of coffee Jonny needs. Give your answer correct to the nearest gram.

Jonny’s assumption is wrong. 72% of the people will drink coffee.

How does this affect your answer to part (a)?

Jonny wants to know how much coffee he will need for 800 people at a meeting. Each person who drinks coffee will drink 2 cups of coffee. 10.6 g of coffee is needed for each cup of coffee. Jonny assumes 68% of the people will drink coffee.

Using this assumption, work out the amount of coffee Jonny needs. Give your answer correct to the nearest gram.

Jonny’s assumption is wrong. 72% of the people will drink coffee.

How does this affect your answer to part (a)?

Some people were asked if they wanted a new television. 70% of the people said yes. 80% of the people who said yes wanted a television with a large screen. What percentage of the people asked said they wanted a television with a large screen?

Elena spent 120 minutes at a sports centre. She played badminton for 50 minutes. She used the swimming pool for of the 120 minutes. She used the gym for 20% of the 120 minutes. She then spent the rest of the 120 minutes in the cafe.

Work out the total time, in minutes, that Elena spent in the cafe.

Elena got to the sports centre at 1.30 pm. She had asked her friend to meet her in the cafe at 3 pm.

Did Elena get to the cafe by 3 pm? Give a reason for your answer.

There are 240 cans of drink on a shelf. Each can contains cola or lemonade or orange. the number of cans the number of cans the number of cans:: = 5: 3: 2 of cola of lemonade of orange of the cans of lemonade and of the cans of orange are removed from the shelf. Work out the number of cans of cola as a percentage of the total number of cans of drink remaining on the shelf.

Write 37% as a fraction.

214 people go on a school trip. The people on the trip are either adults or children. There are 14 adults on the trip. 35% of the children on the trip are wearing a hat. Find the number of children on the trip who are not wearing a hat.

The population of a town increased by 9% between 2018 and 2019 The population in 2019 was 165 680 Calculate the population in 2018

Chanda buys a necklace for £120 She sells the necklace for £135 Work out her percentage profit.

Aaliyah bought a car. In the first year after she bought the car, its value depreciated at a rate of 23% per annum. In the second year after she bought the car, its value depreciated at a rate of 19% per annum. At the end of the second year the car was worth £10 914.75 What was the value of the car when Aaliyah bought it?

The pyramid P is formed from two parts made of different materials.

The top part of P has a mass of 92.8 g and is made from material with a density of 2.9 g/cm³ The bottom part of P has a mass of 972.8 g The average density of P is 4.7 g/cm³ Calculate the volume of the top part of P as a percentage of the total volume of P. Give your answer correct to 1 decimal place. You must show all your working.

Increase 240 by 20%

A delivery company has a total of 160 cars and vans. the number of cars: the number of vans = 3: 7 Each car and each van uses electricity or diesel or petrol. of the cars use electricity. 25% of the cars use diesel. The rest of the cars use petrol. Work out the number of cars that use petrol. You must show all your working.

A delivery company has a total of 160 cars and vans. the number of cars: the number of vans = 3: 7 Each car and each van uses electricity or diesel or petrol. of the cars use electricity. 25% of the cars use diesel. The rest of the cars use petrol. Work out the number of cars that use petrol. You must show all your working.

Write 0.4 as a percentage.

Nimra buys a 3 kg box of sweets for £17.60 She puts the sweets into bags to sell. Each bag contains 150 g of sweets. Nimra fills as many bags as possible. She will sell each bag for the same price. Nimra wants to make a profit of at least 35% Assuming she sells all the bags, what is the lowest price Nimra should charge for each bag?

Write 35% as a fraction.

There are 400 counters in a box. The counters are red or yellow or green. of the counters are red. 82 of the counters are yellow. What percentage of the counters are green?

Jo is going to buy 15 rolls of wallpaper. Here is some information about the cost of rolls of wallpaper from each of two shops.

Jo wants to buy the 15 rolls of wallpaper as cheaply as possible. Should Jo buy the wallpaper from Chic Decor or from Style Papers? You must show how you get your answer.

The value of Michelle’s car has decreased by 15% The car now has a value of £13 600 Work out the value of Michelle’s car before the decrease.

Jo is going to buy 15 rolls of wallpaper. Here is some information about the cost of rolls of wallpaper from each of two shops.

Jo wants to buy the 15 rolls of wallpaper as cheaply as possible. Should Jo buy the wallpaper from Chic Decor or from Style Papers? You must show how you get your answer.

Jane bought a new car three years ago. At the end of the first year the value of the car had decreased by 12.5% The value of the car then decreased by 10% each year for the next two years. At the end of the three years, the value of the car was £17 010 Work out the value of the car when Jane bought it three years ago.

Robin buys a watch for £80 He sells the watch for £56 Work out his percentage loss.

At the end of 2017 the value of Tamara’s house was £220 000 the value of Rahim’s house was £160 000 At the end of 2019 the value of Tamara’s house had decreased by 20% the value of Rahim’s house had increased by 30% At the end of 2019, whose house had the greater value? You must show how you get your answer.

At the end of 2017 the value of Tamara’s house was £220 000 the value of Rahim’s house was £160 000 At the end of 2019 the value of Tamara’s house had decreased by 20% the value of Rahim’s house had increased by 30% At the end of 2019, whose house had the greater value? You must show how you get your answer.

Write 31% as a fraction.

60 people are asked if they prefer to text or to email their friends. 38 of the people are women and the rest are men. 15 of the men prefer to email their friends. 60% of the people prefer to text their friends. Complete the frequency tree for this information.

In a sale, the normal price of a boat is reduced by 15% The sale price of the boat is £272 000 Work out the normal price of the boat.

Write 45% as a decimal.

In the Northern hemisphere the ratio of the area of land to the area of water is 2: 3

Work out what percentage of the area of the Northern hemisphere is land.

20% of the area of the Southern hemisphere is land.

Work out the ratio of the area of land to the area of water in the Southern hemisphere.

In a shop, a TV has a normal price of £500 The shop has a sale. On Monday, the normal price of the TV is reduced by to give the sale price. On Tuesday, the sale price of the TV is reduced by 20% Chris wants to buy the TV. He has £400 to spend on the TV. Does Chris have enough money to buy the TV on Tuesday? You must show how you get your answer.

Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each. Work out Sean’s percentage profit.

Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each. Work out Sean’s percentage profit.

y is increased by 44% Work out the percentage increase in x.

An exam has two papers, Paper 1 and Paper 2 Paper 1 has 60 marks. Paper 2 has 90 marks. The pass mark is of the total number of marks. Danielle gets 70% of the marks for Paper 1 How many of the marks for Paper 2 must Danielle get in order to get the pass mark?

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes: number of tins in large boxes = 2: 3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes: number of tins in large boxes = 2: 3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.

Tariq buys a laptop. He gets a discount of 5% off the normal price. Tariq pays £551 for the laptop.

Work out the normal price of the laptop.

Joan invests £6000 in a savings account. The savings account pays compound interest at a rate of 2.4% for the first year 1.7% for each extra year.

Work out the value of Joan’s investment at the end of 3 years.

Write 40% as a fraction.

19Here are the types of sandwiches sold in a cafe last week.

56 tuna sandwiches were sold. This was 40% of the total number of sandwiches sold.

Work out the total number of sandwiches sold.

Of the 56 tuna sandwiches sold, 18 were sold on Friday.

Write 18 as a percentage of 56 Give your answer correct to the nearest whole number.

6 4 red bricks have a mean weight of 5 kg. 5 blue bricks have a mean weight of 9 kg. 1 green brick has a weight of 6 kg.

Donna says,

“The mean weight of the 10 bricks is less than 7 kg.”

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

There are 800 students at a school. Each student has either a school dinner or a packed lunch.

31% of the students have packed lunches.

55% of the students are boys. 60% of the boys have school dinners.

How many girls have packed lunches? You must show all your working.

Franco buys a house for £146 500 He sells the house for £158 220

Calculate the percentage profit Franco makes.

Write 0.73 as a percentage.

Here are two squares, A and B.

The length of the side of square A is 50% of the length of the side of square B. Express the area of the shaded region of square A as a percentage of the area of square B.

Here are three spheres.

The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of the volume of sphere R.

A garden is in the shape of a rectangle 90 m by 60 m. 90 m

The circumference of circle B is 90% of the circumference of circle A.

Find the ratio of the area of circle A to the area of circle B.

Square E has sides of length e cm. Square F has sides of length f cm. The area of square E is 44% greater than the area of square F.

Work out the ratio e: f

The grouped frequency table gives information about the times, in minutes, that 80 office workers take to get to work.

Time (t minutes)	Frequency
0 t 20	5
20 t 40	30
40 t 60	20
60 t 80	15
80 t 100	8
100 t 120	2

Complete the cumulative frequency table.

On the grid, draw the cumulative frequency graph for this information.

Use your graph to find an estimate for the percentage of these office workers who take more than 90 minutes to get to work.

Write 19% as a fraction.

Work out 20% of 80

Costcorp sells packets of mints to shop owners. On Monday three shop owners buy mints from Costcorp. Each shop owner buys small packets, medium packets and large packets of mints. Alan buys 400 packets of mints. 32 % are small packets. 40 % are large packets. Beryl buys 500 packets of mints.

Charlie buys 150 small packets of mints so that number of small packets: number of medium packets 3: 4 Work out the total number of medium packets of mints these shop owners buy. You must show all your working.

Marie invests £8000 in an account for one year. At the end of the year, interest is added to her account. Marie pays tax on this interest at a rate of 20% She pays £28.80 tax. Work out the percentage interest rate for the account.

Write 0.6 as a percentage.

Food Mart and Jan’s Store sell boxes of the same type of breakfast cereal.

Each shop has a special offer.

Which box of cereal is the better value for money? You must show your working.

A bonus of £2100 is shared by 10 people who work for a company. 40% of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen.

One of the salesmen says,

“If the bonus is shared equally between all 10 people I will get 25% more money.”

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

A bonus of £2100 is shared by 10 people who work for a company. 40% of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen.

One of the salesmen says,

“If the bonus is shared equally between all 10 people I will get 25% more money.”

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

Jack and Sadia work for a company that sells boxes of breakfast cereal.

The company wants to have a special offer.

Here is Jack’s idea for the special offer.

Here is Sadia’s idea.

Sadia wants her idea to give the same value for money as Jack’s idea.

By what percentage does she need to reduce the price?

Adam gets a bonus of 30% of £80 Katy gets a bonus of £28

Work out the difference between the bonus Adam gets and the bonus Katy gets.

Remi invests £600 for 5 years in a savings account. By the end of the 5 years he has received a total of £75 simple interest.

Work out the annual rate of simple interest.

Bill wants to increase 150 by 3% He writes down

150 1.3 = 195

Bill’s method is wrong.

Explain why.

Sally wants to decrease 150 by 3%

Complete this statement to show how Sally can decrease 150 by 3%

Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2: 3

Yellow paint is sold in 5 litre tins. Each tin of yellow paint costs £26

Blue paint is sold in 10 litre tins. Each tin of blue paint costs £48

Robert sells all the green paint he makes in 10 litre tins. He sells each tin of green paint for £66.96

Work out Robert’s percentage profit on each tin of green paint he sells.

Write 3% as a fraction.

There are men and women at a meeting.

There are 28 women. 30% of the people at the meeting are men.

Work out the total number of people at the meeting.

Trevor buys a boat. The cost of the boat is £14 200 plus VAT at 20%

Trevor pays a deposit of £5000 He pays the rest of the cost in 10 equal payments.

Work out the amount of each of the 10 payments.

Last year Jo paid £245 for her car insurance. This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance.

Fran asks each of 40 students how many books they bought last year.

The chart below shows information about the number of books bought by each of the 40 students.

Number of books

Work out the percentage of these students who bought 20 or more books.

Show that an estimate for the mean number of books bought is 9.5 You must show all your working.

Last year Jo paid £245 for her car insurance. This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance.

Gavin, Harry and Isabel each earn the same monthly salary.

Each month,

Gavin saves 28% of his salary and spends the rest of his salary Harry spends of his salary and saves the rest of his salary the amount of salary Isabel saves: the amount of salary she spends = 3: 7

Work out who saves the most of their salary each month. You must show how you get your answer.

Work out 15% of 160 grams.

Renee buys 5 kg of sweets to sell. She pays 10 for the sweets.

Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p.

Renee sells all the bags of sweets.

Work out her percentage profit.

Renee buys 5 kg of sweets to sell. She pays £10 for the sweets.

Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p.

Renee sells all the bags of sweets.

Work out her percentage profit.

Raya buys a van for £8500 plus VAT at 20%

Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month.

Find the ratio of the deposit Raya pays to the total of the 12 equal payments. Give your answer in its simplest form.

Helen says, “The pressure decreases by less than 20%”

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

Raya buys a van for £8500 plus VAT at 20%

Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month.

Find the ratio of the deposit Raya pays to the total of the 12 equal payments. Give your answer in its simplest form.

Helen says, “The pressure decreases by less than 20%”

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

Jean invests £12 000 in an account paying compound interest for 2 years.

In the first year the rate of interest is x % At the end of the first year the value of Jean’s investment is £12 336 In the second year the rate of interest is %

What is the value of Jean’s investment at the end of 2 years?

Write 0.3 as a percentage.

w = 5.6 10^–5 d = 1.4 10^–4

Work out the value of T. Give your answer in standard form correct to 3 significant figures.

w is increased by 10% d is increased by 5%

Lottie says, “The value of T will increase because both w and d are increased.”

Lottie is wrong. Explain why.

In 2003, Jerry bought a house.

In 2007, Jerry sold the house to Mia. He made a profit of 20%

In 2012, Mia sold the house for £162 000 She made a loss of 10%

Work out how much Jerry paid for the house in 2003

There are only red buttons, yellow buttons and orange buttons in a jar. The number of red buttons, the number of yellow buttons and the number of orange buttons are in the ratio 7: 4: 9

Work out what percentage of the buttons in the jar are orange.

Berenika wants to buy 35 T-shirts.

Each T-shirt costs £5.80 Berenika does the calculation 40 6 = 240 to estimate the cost of 35 T-shirts.

Explain how Berenika’s calculation shows the actual cost will be less than £240

There is a special offer.

Work out the actual cost of buying 35 T-shirts using the special offer.

In a sale, the normal price of a book is reduced by 30%. The sale price of the book is £2.80

Work out the normal price of the book.

Mr Page uses oil to heat his home.

At the beginning of November there were 1000 litres of oil in his oil tank.

Mr Page bought enough oil to fill the tank completely. He paid 50p per litre for this oil. He paid a total amount of £750

At the end of February Mr Page had 600 litres of oil in the tank. He bought enough oil to fill the tank completely. The cost of oil had increased by 4%.

Work out the total amount Mr Page paid for the oil he bought in February.

Emily buys a pack of 12 bottles of water. The pack costs £5.64

Emily sells all 12 bottles for 50p each.

Work out Emily’s percentage profit. Give your answer correct to 1 decimal place.

Emily buys a pack of 12 bottles of water. The pack costs 5.64

Emily sells all 12 bottles for 50p each.

Work out Emily¶s percentage profit. Give your answer correct to 1 decimal place.

Jack’s driving school has two offers.

The normal price of a driving lesson is £24

Douglas is going to have 12 driving lessons.

Which is the cheaper offer for 12 driving lessons, Offer 1 or Offer 2? You must show how you get your answer.

Jack bought a new boat for £12 500

The value, £ V, of Jack’s boat at the end of n years is given by the formula

At the end of how many years was the value of Jack’s boat first less than 50% of the value of the boat when it was new?

A savings account pays interest at a rate of R % per year. Jack invests £5500 in the account for one year.

At the end of the year, Jack pays tax on the interest at a rate of 40%. After paying tax, he gets £79.20

Work out the value of R.

Work out 60% of 70

Azmol is paid £1500 per month. He is going to get a 3% increase in the amount of money he is paid.

Work out how much money Azmol will be paid per month after the increase.

On Saturday, some adults and some children were in a theatre. The ratio of the number of adults to the number of children was 5: 2

Each person had a seat in the Circle or had a seat in the Stalls. of the children had seats in the Stalls. 117 children had seats in the Circle.

There are exactly 2600 seats in the theatre.

On this Saturday, were there people on more than 60% of the seats? You must show how you get your answer.

The histogram shows some information about the ages of the 134 members of a sports club.

20% of the members of the sports club who are over 50 years of age are female.

Work out an estimate for the number of female members who are over 50 years of age.

ONQ is a sector of a circle with centre O and radius 11 cm.

A is the point on ON and B is the point on OQ such that AOB is an equilateral triangle of side 7 cm.

Calculate the area of the shaded region as a percentage of the area of the sector ONQ. Give your answer correct to 1 decimal place.

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5

Work out the number of lemon cakes Daniel bakes.

Harley’s house has a value of £160 000 correct to 2 significant figures.

Write down the least possible value of the house.

Write down the greatest possible value of the house.

The value of Rita’s house increased by 5%. Her house then had a value of £210 000

Work out the value of Rita’s house before the increase.

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5

Work out the number of lemon cakes Daniel bakes.