Percentages (Edexcel GCSE Maths: Foundation): Exam Questions

Indie wants to know what types of movies people like to watch. He asks the students in his school what their favourite type of movie is.

The results of his survey are shown in the table below.

  Complete the table.

Write down the percentage of students who said romance.

Indie surveyed 150 students.

Work out the number of students who said horror.

Felix buys a shirt for £20.
He sells it for £26.

Work out his percentage profit.

The value of Martin's house has increased by 25% since he first bought it.

His house is now worth £250 000.

Work out the value of Martin's house before the increase.

The entry price to a museum is $18.
This price is increased by 28%.

Find the increased entry price.

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

Increase 42 by 16%.

Roberto buys a toy for $5.00 .
He then sells it for $4.60 .

Calculate his percentage loss.

In a football stadium there are 15 000 seats.
10 650 of these seats are occupied.

Find the percentage of the 15 000 seats that are occupied.

Soraya is making flags to sell.

Each flag costs $15 to make.
Soraya sells one flag for $21.

Calculate the percentage profit.

Last year the cost to keep a boat at a port was $14 per night.
This year the cost has increased by 12%.

Calculate the cost this year.

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

There are 600 people at a school gathering.

$\frac{11}{30}$ of the people are senior school students.

60% of the people are middle school students.

The rest of the people are teachers.

Work out the number of teachers at the gathering.

The price of a television is $560.
This price is reduced by 18% in a sale.

Work out the sale price.

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

The price of a watch increases from $18 to $19.17 .

Find the percentage increase in the price of this watch.

In an orchestra there are 15 woodwind instruments, consisting of oboes, flutes and clarinets.
20% of these instruments are oboes.
There are twice as many flutes as clarinets.

Find the number of flutes.

Yani’s house is for sale.
She decides to reduce the selling price of $240000 by 15%.

Calculate the new selling price.

$ ................................ 

Marya is buying a truck.

The truck costs £18 000

Marya pays 20% of the cost as a deposit.

She pays the rest of the cost in 20 equal monthly payments.

How much is each monthly payment?

80% of a number is 64.

Find the number.

Find 42% of 80.

Write down the value of 80% of 42.

Find 184% of 520ml.

Tara went for a 3 kilometre run. Her fitness app recorded the time spent in each of the 5 different heart rate zones (HRZ).

How long did it take for Tara to run 3km?

Write her time in minutes and seconds.

.......... minutes .......... seconds

What percentage of her run was spent in heart rate zones 4 or 5? Give your answer to 1 decimal place.

Simon needs to buy a new washing machine.

He goes to a shop with a sale on.

The washing machine he wants to buy costs £320 and has the following discount being offered:

20% off all washing machines.
A further 15% reduction of the sale price if you do not need delivery.

Simon has a budget of £240 and does not need delivery.

Does Simon have enough money to buy the washing machine?

You must show how you get your answer.

Zach sells toys at a market stall. He bought 20 jigsaw puzzles at £4 for each puzzle.

He set the initial selling price so that he would make 15% profit on each jigsaw puzzle sold.
Zach sold 7 jigsaw puzzles at that price.

Zach then reduced the selling price of each jigsaw puzzle by 10%.
He sold the remaining  jigsaw puzzles at this price.

Has Zach made a profit or a loss?
You must explain your answer clearly.

Suresh earns £62 000 a year.

He has to pay tax on his earnings.

Suresh is allowed to earn £12 500 without paying tax.
He has to pay 20% tax on the next £37 500 that he earns.
Anything that he earns over £50 000 will be taxed at 40%.

How much tax does Suresh have to pay in one year?

A theatre makes a decision to increase the price of all tickets sold by 6%.

Before this increase, the price of a ticket to see a music concert was £35.
Work out the price after the increase. 

The price of a ticket to see a comedy show increased by £1.32. Work out the price before this increase.

After the increase, the price of a ticket to see a play was £40.28.
Work out the price before this increase.

Nadira buys a pack of 40 dresses and pays $500.
She sells 35 of these dresses for $22 each.
She sells the remaining 5 dresses for $14.50 each.

Calculate the percentage profit she makes when she sells all 40 dresses.

Work out $1.20 as a percentage of $16.

The number of passengers on a train increases from 63 to 77.

Calculate the percentage increase.

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

A geography examination lasts for 1 hour 40 minutes.
Hari is allowed 25% extra time for his geography examination.

Work out the total time Hari has for this examination.
Give your answer in hours and minutes.

.............. h .............. min 

Two competing stores have discounts on their products.

Store A introduces an extra discount, which is applied to items after the first discount is applied.

Which store will be the cheapest for an item with the same original price in both stores? Show your working clearly.

A bakery sells individual and pre-packed bagels.

384 bagels are baked each morning.

A dozen bagels cost £5.88 to bake.

The pre-packaged bags of 4 bagels are sold for £2.19 each.

Single bagels sell for £0.59.

$12.5\%$ of the total number of bagels baked are to sell individually.

On one day, the bakery sells 75% of their pre-packed bagels and 17 individual bagels.

How much money did the bakery lose from their bagel sales that day?