Percentages

70% of the discs in a box are red and the rest are blue.

40% of the red discs are removed.

50% of the blue discs are removed.

In total, what percentage of the discs are removed from the box?

4 70% of the discs in a box are red and the rest are blue.

40% of the red discs are removed.

50% of the blue discs are removed.

In total, what percentage of the discs are removed from the box?

The number of people that follow an influencer increases from 35 000 to 70 000

The influencer says, “My number of followers has increased by 200%, because 70 000 is 35 000 times 2”

Are they correct? Tick a box.

Give a reason for your answer.

Greg and Hanna want to know if students at their school think lunchtime clubs are important.

Greg asks 15 people at the lunchtime chess club.

Give one reason why his results may not represent the whole school.

Here are Hanna’s results.

• 62% answered Important.

• 24% answered Not Important.

• The rest answered Don’t Know.

93 students answered Important.

How many students answered Don’t Know?

A study suggests a student’s exam mark, m, is directly proportional to the cube root of total revision time, t hours.

A student doubles their total revision time.

Work out the percentage increase in their exam mark.

Complete the table to show equivalent fractions, decimals and percentages.

What percentage of this grid is shaded?

A mobile phone company has two different plans.

Show that the total cost of Plan A for 24 months is £764

During a sale, the total cost of Plan B is reduced by 10%

Which plan is cheaper for 24 months during the sale?

Show working to support your answer.

Paul buys plates for his cafe. The cafe has 20 tables. He buys 6 plates for each table plus an extra 70% for spares.

Work out how many plates Paul buys in total.

Rob records the time he takes to drive to work every day for 80 days. The table shows information about the results.

Time, t (minutes)	Frequency
20 t 25	16
25 t 30	32
30 t 40	24
40 t 60	8
	Total = 80

Last year, the mean time Rob took to drive to work was 25 minutes.

Estimate the percentage increase in the mean driving time for these 80 days.

Put these values in order of size, starting with the smallest.

The multipack costs 10% less than 6 single bags.

Work out the cost of the multipack.

Clive owns two coffee shops, A and B. Out of 150 people

18 people use both shops

46% use shop A

Complete the Venn diagram to represent the information.

ξ = 150 people A = people who use shop A B = people who use shop B

Give your answer to 2 decimal places.

384 000 electric cars were sold this year. This is 20% more than last year.

How many were sold last year ?

384 000 electric cars were sold this year. This is 20% more than last year.

How many were sold last year ?

Here is a sign in a shop.

20% OFF ALL ITEMS

TODAY ONLY 10% OFF THE REDUCED PRICE

THAT MEANS YOU SAVE 30%

Is the sign correct? Tick a box.

Give a reason for your answer.

The original value of a car is £8600 The value of the car decreases by 15% in the first year then 10% in the second year.

Work out the value of the car after these two years.

Sunil has £25 to spend on game downloads. He downloads 5 games, each costing £3.40

What percentage of the £25 does he spend?

Here is a centimetre grid.

What percentage of the grid is shaded?

Kai has shaded two small squares on this centimetre grid.

He wants of the grid to be shaded.

How many more small squares must he shade?

Work out 35% of 1200

A, B and C are numbers. Here is some information about B and C.

Work out C as a fraction of B.

Write 0.27 as a fraction.

Write 0.35 as a percentage.

The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg.

Work out the original mass of the iceberg. Give your answer in standard form.

The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg.

Work out the original mass of the iceberg. Give your answer in standard form.

A bus route had 90 000 passengers last year. The number of passengers was predicted to increase by 3% this year and then by 8% next year.

Is the predicted number of passengers for next year more than 100 000 ? You must show your working.

8400 fans go to a rugby match.

6850 of the fans support the Home team. The remaining fans support the Away team.

20% of the Home fans wear a scarf. 2319 of all the fans wear a scarf.

Complete the frequency tree.

Tins of beans are sold in shop A and shop B.

10% reduction in price on all packs

At which shop is it cheaper to buy 20 tins? State how much cheaper.

Kay hires a digger. The cost per day is

£24.50 for the first 5 days

reduced by 20% for day 6

the same as day 6 for day 7 onwards.

The total cost is £259.70

For how many days did Kay hire the digger? You must show your working.

Four people are taking part in a television talent show.

Here are Amy’s marks from the 6 judges.

The pie chart represents the phone vote.

Amy’s total score is found by

4 × the mean of her marks

her percentage of the phone vote

Work out Amy’s total score.

Four people are taking part in a television talent show.

Here are Amy’s marks from the 6 judges.

The pie chart represents the phone vote.

Amy’s total score is found by

4 × the mean of her marks

her percentage of the phone vote

Work out Amy’s total score.

70% of a number is 350

Work out 120% of the number.

7 70% of a number is 350

Work out 120% of the number.

Here is a grid.

What percentage of the grid is shaded?

Here is a different grid.

What percentage of the grid is shaded?

Three shops sell the same type and size of lip balm stick.

Which shop is the best value for 8 sticks and what is the total cost in that shop? Show working to support your answer.

Write 1.52 as an improper fraction in its simplest form.

Work out 60 as a percentage of 20

Three shops sell the same type and size of lip balm stick.

Which shop is the best value for 8 sticks and what is the total cost in that shop? Show working to support your answer.

Work out 10% of 170

Carly’s total annual pay = salary + bonus

Work out the percentage change in her total annual pay. State whether it is an increase or a decrease.

Carly’s total annual pay = salary + bonus

Work out the percentage change in her total annual pay. State whether it is an increase or a decrease.

Match each box on the left to the box on the right with the same value. One has been done for you.

The table shows monthly payments for electricity.

Write down the percentage increase from October to November.

A large rectangle has a rectangular hole cut out.

Work out the percentage of the large rectangle that is shaded.

A shop sells bottles of orange juice. Each bottle costs 75p Work out the greatest number of bottles that can be bought with £5

Two shops sell bottles of apple juice.

At which shop is it cheaper to buy 24 bottles? Show working to support your answer.

8 93 people were asked if they played online games one day. The frequency tree shows some information about their answers.

75% of the people who answered Yes played one game. Complete the frequency tree.

One of the 93 people is chosen at random. P(used social media) is more than 0.68

What is the smallest possible number of people who used social media?

There are 1020 books in a box. of the books are blue. How many are blue?

There are green pens and red pens in the box. The ratio of green: red is 4: 3 What fraction of the pens are green?

There are some calculators in the box. 220 are scientific. 30 are not. What percentage of the calculators are scientific?

28 is increased by 25% 40 is decreased by 15% Which answer is bigger? Show how you decide.

A bowl is a hemisphere with radius 12 cm

Water is poured into the bowl at a rate of 325 cm³ per second for 8 seconds. Does the water fill more than 70% of the bowl? You must show your working.

The price of a toy increases by 12.5% to £19.53 Work out the original price of the toy.

A bowl is a hemisphere with radius 12 cm

Water is poured into the bowl at a rate of 325 cm³ per second for 8 seconds. Does the water fill more than 70% of the bowl? You must show your working.

A company has 123 employees. Information about their hourly rates of pay is shown in the table.

Hourly rate, £p	Number of employees
10 p 14	66
14 p 20	32
20 p 40	15
40 p 100	10
	Total = 123

The owner of the company uses the data to make two statements.

Statement A “Over 30% of employees have an hourly rate that is more than £17”

Statement B “The average hourly rate of pay is more than £20”

Show working that supports Statement A.

Why might Statement A not be true?

Work out an estimate of the mean to support Statement B.

Why is the mean not the best average to represent the data?

Kiran paid Income Tax and National Insurance on her annual salary.

Income Tax 0% of the first £12 570 of her annual salary 20% of the rest of her annual salary

National Insurance 0% of the first £9880 of her annual salary 13.25% of the rest of her annual salary

Kiran paid £5186 Income Tax. How much National Insurance did she pay?

Circle the percentage that is between and

40% 60% 80% 90%

6 200 students were each asked about the monthly cost of their phone contract. Here are the results.

How many more school students than college students were asked?

What percentage of the 200 students had a monthly cost less than £25 ?

Some gamers were asked which type of video game they preferred. 65% said Action. 19% said Role-playing. The rest said Sports. What percentage said Sports?

a is 10% more than b. Circle the ratio a: b

10: 11 10: 1 11: 10 1: 10

a is 10% more than b. Circle the ratio a: b

10: 11 10: 1 11: 10 1: 10

A football team plays two matches.

For the first match, 40 000 tickets are sold. Assume that each ticket costs £38.50 Work out the total amount of money from ticket sales for this match.

In fact, for the first match, some of the tickets cost less than £38.50 and some of the tickets cost more than £38.50 What does this mean about the total amount of money from ticket sales for this match? Tick one box.

For the second match, the number of tickets sold increases from 40 000 to 55 000 Is the increase in tickets sold more than 35% ? You must show your working.

The composite bar chart shows information about the percentage of drinks sold by a

In 2007 the café sold a total of 24 000 drinks. How many more teas than coffees were sold?

Were more coffees sold at the café in 2019 than in 2007 ?

Give a reason for your answer.

The composite bar chart shows information about the percentage of drinks sold by a

In 2007 the café sold a total of 24 000 drinks. How many more teas than coffees were sold?

Were more coffees sold at the café in 2019 than in 2007 ?

Give a reason for your answer.

Fred bought an apartment for £137 500 He made 8% profit when he sold the apartment. He used all of this profit to pay 40% of the deposit on a house. The deposit was one sixth of the price of the house. Work out the price of the house.

480 people are asked if they eat sushi. 20% say Yes. of the people who say Yes eat sushi at least once a month. Complete the frequency tree.

4 30 x 300 x is 200% of y

Circle the correct inequality.

Shona has 14 dresses. 50% of these dresses are red. She gives 5 of her red dresses to a charity shop. She buys 1 new red dress. What percentage of the dresses she has now are red?

Circle the calculation that increases 240 by 7.5%

240 × 1.0705 240 × 1.705 240 × 1.075 240 × 1.75

Nihal has savings of £168 He uses of his savings to buy sports equipment.

Assume that he will use of the rest of the money to buy a shirt. How much of his savings, in £, will he have left?

What does this tell you about how much of his savings he has left? Tick one box.

The people at a party are either adults or children.

What percentage are adults?

The people at a different party are from Spain, France or Germany. 68% are from Spain number from France = number from Germany Work out number from Spain: number from France Give your answer in the form n: 1

Harry and Ellie each bought a printer and a hard drive. Here is some information about how much they paid.

Ellie says, ‘‘In total, I paid more than Harry because 20% is greater than 10%’’ Is she correct?

Show calculations to support your answer.

Harry and Ellie each bought a printer and a hard drive. Here is some information about how much they paid.

Ellie says, ‘‘In total, I paid more than Harry because 20% is greater than 10%’’ Is she correct?

Show calculations to support your answer.

A company makes and sells boxes of washing powder.

The company wants to increase the amount of money it receives per kg of powder. To get the required increase it can increase the price to £5.88 or reduce the mass of powder in the box by x % Work out the value of x to 2 decimal places.

x =

Circle your answer.

10% 25% 40% 75%

Laura works in a shop. The table shows the number of hours she works on two weekends.

Work out the percentage increase in her total hours from Weekend 1 to Weekend 2

Laura works in a shop. The table shows the number of hours she works on two weekends.

Work out the percentage increase in her total hours from Weekend 1 to Weekend 2

10% of 2100 is 210 Work out 43% of 2100

At a country park there is a house, a museum and a garden. The table shows the prices per person to visit the park.

One day, 480 people visit the park. 67 visit the garden only. 40% visit the house and the museum. visit the house only. The rest visit the museum only. In total, how much do the 480 people pay to visit the park? You may use the Venn diagram to help you.

Erik thinks of a prime number between 20 and 30 His number is x % of 125 Work out one possible value of x.

At a country park there is a house, a museum and a garden. The table shows the prices per person to visit the park.

One day, 480 people visit the park. 67 visit the garden only. 40% visit the house and the museum. visit the house only. The rest visit the museum only. In total, how much do the 480 people pay to visit the park? You may use the Venn diagram to help you.

Erik thinks of a prime number between 20 and 30 His number is x % of 125 Work out one possible value of x.

Phil sells ties. He increases the original price of each tie by 10% to £13.20 A month later he announces a sale.

Phil says, “The ties will be back to their original price, because each change was by 10%” Is he correct? Tick a box.

Show working to support your answer.

The table shows information about how 150 students travel to school.

What fraction of the girls walk to school? Give your answer in its simplest form.

One of the boys is chosen at random. What is the probability that the boy travels to school by bus?

What percentage of the 150 students travel to school by car?

Work out 110% of 80

Work out 21 as a fraction of 12 Circle your answer.

Members of a club are Senior, Adult or Junior.

Give a reason why there must be a mistake in the report.

An Adult membership fee is £120 A Junior membership fee is of the Adult fee. Work out the total membership fee for 2 Adults and 3 Juniors.

Alex and Bev sat six tests, each with 50 marks. The table shows their mean percentages after five tests.

After all six tests, their mean percentages were equal. In the sixth test, Alex scored 24 out of 50 Work out Bev’s score, out of 50, in the sixth test.

On a restaurant menu there are 22 main dishes, of which are gluten-free 7 rice dishes, which are all gluten-free 5 naan breads, of which 40% are gluten-free. This Meal Deal is on the menu. Choose one main dish, one rice dish and one naan bread How many of the possible Meal Deals are totally gluten-free?

2 50% of a number is 40 Circle the number.

20 80 800 2000

Here are ticket prices for a theme park.

Single tickets Adult £48 Child £26 Special offer tickets 1 adult and 2 children £82 2 adults and 2 children £120

Freya buys tickets for 3 adults and 4 children. She pays the cheapest possible total cost. How much does she save compared to buying all single tickets?

Leroy buys 5 single adult tickets. He uses a voucher that reduces the price of tickets by a quarter. In total, how much does he pay?

A rectangle has length 60 cm and width 40 cm

The length decreases by 15% The width decreases by 10% Sue says, ‘‘The perimeter decreases by 25% because 15% + 10% is 25%’’ Is she correct? You must show calculations to support your answer.

Work out 320 as a percentage of 80 Circle your answer.

25% 75% 300% 400%

A rectangle has length 60 cm and width 40 cm

The length decreases by 15% The width decreases by 10% Sue says, ‘‘The perimeter decreases by 25% because 15% + 10% is 25%’’ Is she correct? You must show calculations to support your answer.

A college has a total of 105 teachers 19 more female teachers than male teachers. What proportion of the teachers are female?

Mo played 30 games of chess. He won 18 of these games.

What fraction of the games did he win? Give your answer in its simplest form.

He played 20 more games. He had then won 64% of all of his games. How many of the 20 games did he win?

Circle the calculation that decreases 250 by 15%

250 ÷ 1.15 250 × 0.15 250 × 0.85 250 ÷ 0.85

What percentage of this shape is shaded?

Show that a % of b = b % of a

Rosie says, “160% of 40 = 140% of 60 because a % of b = b % of a ” Is she correct? Tick a box.

Give a reason for your answer.

Tom is tiling a wall. He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.

Large pack 40 tiles £18 Small pack 28 tiles £14 Special offer 25% reduction when you buy 3 or more large packs

Work out the cheapest cost for Tom to buy the packs of tiles he needs.

Tom is also tiling a floor. The floor is a rectangle with length 600 cm and width 240 cm Each tile is a square with side 40 cm Tom uses this method to work out the number of tiles he needs.

Number of tiles that will fit along the width = 240 ÷ 40 = 6 Total number of tiles needed = 15 + 6

Give a reason why Tom’s method is wrong.

In a choir there are 35 men and 48 women. The probability that a man chosen at random wears glasses is The probability that a woman chosen at random wears glasses is

Work out the number of people in the choir who wear glasses.

A person is chosen at random from the choir. Work out the probability that the person does not wear glasses.

Tom is tiling a wall. He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.

Large pack 40 tiles £18 Small pack 28 tiles £14 Special offer 25% reduction when you buy 3 or more large packs

Work out the cheapest cost for Tom to buy the packs of tiles he needs.

Tom is also tiling a floor. The floor is a rectangle with length 600 cm and width 240 cm Each tile is a square with side 40 cm Tom uses this method to work out the number of tiles he needs.

Number of tiles that will fit along the width = 240 ÷ 40 = 6 Total number of tiles needed = 15 + 6

Give a reason why Tom’s method is wrong.

When you earn money you pay income tax. The amount you pay depends on how much you earn that year. You pay 0% on the first £12 500 you earn 20% on the next £37 500 you earn 40% on the next £112 500 you earn. One year, Kim paid £9260 income tax. Work out how much she earned that year.

Work out 65% of 300

In a game the average score was 50 Tom’s score was of the average. Circle Tom’s score.

125 175 30 20

Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party?

Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party?

There are 135 passengers on a plane. 3 of the passengers in Business Class are flying for the first time. In total, there are 15 passengers in Business Class. of the passengers not in Business Class are flying for the first time.

In the Venn diagram, ξ = passengers on the plane B = passengers in Business Class F = passengers flying for the first time. Complete the Venn diagram.

One of the passengers is chosen at random. Write down the probability that the passenger is in Business Class.

In a sport, injury time is added time played at the end of a match. The table shows the injury time, t (minutes) played in 380 matches.

Injury time, t (minutes)	Frequency
0 t 2	59
2 t 4	158
4 t 6	106
6 t 8	45
8 t 10	12

Circle the two words that describe the data.

continuous discrete grouped ungrouped

Which class interval contains the median? You must show your working.

What percentage of the matches had more than 6 minutes of injury time?

Circle the correct statement.

A factory makes kettles. Four samples of kettles are tested for faults. Each sample has size 200 Here are the relative frequencies of faulty kettles in the samples.

Work out the range of the number of faulty kettles in the four samples.

Hanif makes green paint by mixing blue paint and yellow paint in the ratio blue: yellow = 7: 3 He buys blue paint in 50-litre containers, each costing £225 He buys yellow paint in 20-litre containers, each costing £80 He wants to sell the green paint in 5-litre tins make 40% profit on each tin. How much should he sell each tin for?

Laura wants to work out 3% of 1700 Her method is 1700 × 0.3 Is her method correct? Tick a box.

Give a reason for your answer.

Laura also wants to work out of 60 Her answer is 58 Is her answer correct? Tick a box.

Give a reason for your answer.

Work out the percentage increase from 80 to 280

Work out the percentage increase from 80 to 280

A charity sends an appeal letter to 3000 people. The letter asks for a donation of money. Here is some information about the last appeal letter the charity sent out.

Using this information, work out the amount the charity can expect to receive from this appeal.

The average donation from the people who filled in a tax form was more than £8.60 How does this affect your answer to part (a)? Tick one box.

Give a reason.

Lunch Choose one starter and one main course There are four starters and ten main courses to choose from. Two of the starters and three of the main courses are suitable for vegans. What percentage of the possible lunches have both courses suitable for vegans?

A company sells houses. The line graph shows the number sold per week for 30 weeks.

Work out the range of the number of houses sold per week.

Work out the median number of houses sold per week.

The company sells three houses. The prices are £185 000, £239 000 and £136 000 The company earns 2% commission on each house. In total, how much commission does the company earn on these three houses?

Work out 20% of 14 000

A rectangular carpet measures 8 m by 6 m Part of the carpet is covered by a square rug of length 2 m

Show that of the carpet is covered by the rug.

The table shows information about the population of a city.

Liam claims, “From 2011 to 2021 the population of the city will increase by the same percentage as from 2001 to 2011” He works out, population increase from 2001 to 2011 = 480 000 – 420 000 = 60 000 population in 2021 = 480 000 + 60 000 = 540 000 Does the population of 540 000 match his claim? You must show your working.

Work out 40 as a percentage of 10 Circle your answer.

4% 25% 300% 400%

The table shows information about the population of a city.

Liam claims, “From 2011 to 2021 the population of the city will increase by the same percentage as from 2001 to 2011” He works out, population increase from 2001 to 2011 = 480 000 – 420 000 = 60 000 population in 2021 = 480 000 + 60 000 = 540 000 Does the population of 540 000 match his claim? You must show your working.

Shade 10% of this grid.

Jo has a full cup of coffee.

She drinks some of it.

She says, “Half of the coffee is still in the cup, because 5 cm is half of 10 cm” Is she correct?

Give a reason for your answer.

A takeaway sells 10-inch pizzas and 12-inch pizzas. Here is some information about the numbers sold in two weeks.

In each week a proportion of the pizzas sold were 10-inch. In which week was this proportion greater? Show working to support your answer.

The table shows the profit or loss the takeaway makes on each pizza.

In week 1 the total profit was £1895.55 At the end of week 1 the takeaway spent £175 on adverts. Was the increase in profit in week 2 more than the cost of the adverts? You must show your working.

Investment A Save £150 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B Invest £3500 Compound interest is added at 3% per year. After 2 years, how much more is investment B worth than investment A?

The cost of a ticket increases by 10% to £19.25 Work out the original cost.

The cost of a ticket increases by 10% to £19.25 Work out the original cost.

5% of a number is 31 1% of the same number is 6.2 Work out 13% of the number.

In a test, Section A has 80 marks Section B has 120 marks.

Riya scores 55% in Section A 70% in Section B.

To pass, Riya needs to score 65% of the total marks.

Does she pass? You must show your working.

In 2015, Han was paid £1350 per month.

In 2016, he had a 2% increase in his monthly pay worked 37.5 hours per week worked for 47 weeks.

Work out Han’s average pay per hour for 2016

A ball is thrown from a height of 15 metres. It bounces to height h₁, then to height h₂ as shown.

h₁ is three quarters of the original height.

Jack expects h₂ to be three quarters of h₁

Work out the value of h₂ that he expects.

In fact, h₂ is two thirds of h₁

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

Show working to support your answer.

What is 50 as a percentage of 20? Circle your answer.

10% 40% 150% 250%

A ball is thrown from a height of 15 metres. It bounces to height h₁, then to height h₂ as shown.

h₁ is three quarters of the original height.

Jack expects h₂ to be three quarters of h₁ Work out the value of h₂ that he expects.

In fact, h₂ is two thirds of h₁ How does this affect the answer to part (a)?

Show working to support your answer.

The cross section of an earring is a semicircle, centre C, radius 25 mm The earring is black and white. The shaded area is black.

Sector BCD is white and has radius 12 mm

Is more than 20% of the semicircle white?

You must show your working.

£1700 is invested for 3 years at 4% per year simple interest. Work out the total interest.

A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats.

Each standard carriage has 78 seats. in each carriage are being used. Are more than half the seats on the train being used? You must show your working.

42 men and 38 women visit a restaurant. 44 of these people have a voucher. Three times as many men as women do not have a voucher.

Complete the frequency tree.

A voucher takes 15% off the bill. After using the voucher, the bill for a meal is £27.20 How much was the bill before using the voucher?

42 men and 38 women visit a restaurant. 44 of these people have a voucher. Three times as many men as women do not have a voucher.

Complete the frequency tree.

A voucher takes 15% off the bill. After using the voucher, the bill for a meal is £27.20 How much was the bill before using the voucher?

w is a positive number. x is 10% more than w. y is 10% less than x. Which statement is true? Tick one box.

6 500 people are asked if they drink coffee.

20% of the people who say Yes drink at least three cups each day.

Complete the frequency tree.

What fraction of the 500 people drink at least three cups of coffee each day? Give your answer in its simplest form.

Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total charge for these tickets when paying by credit card.

Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each

A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card.

Work out the total charge for these tickets when paying by credit card.

In an office there are twice as many females as males. of the females wear glasses. of the males wear glasses. 84 people in the office wear glasses.

Work out the number of people in the office.

The average age of teachers at a school is 36 years. Mr Smith’s age is of the average. How old is Mr Smith?

Ellen works for a company that sells cars. Her monthly pay is

• a salary of £1470

• 28% of the total profit the company makes from her sales

• a £250 bonus if she sells at least 15 cars.

The table shows information about the cars she sold last year.

Was Ellen’s total pay for the year more than £40 000? You must show your working.

P is a rectangle with length 50 cm and width x cm Q is a rectangle with width y cm Not drawn accurately

The length of Q is 20% more than the length of P. The area of Q is 10% less than the area of P. Work out the ratio x: y Give your answer in its simplest form.

An exam has two papers. Anil scores 33 out of 60 on paper 1 and 75 out of 100 on paper 2 Work out his percentage score for the exam.