Percentages

18 questions with answers and video solutions. Try each one before revealing the answer.

2014 P1 Q9

3 Marks

480 000 tickets were sold for a tennis tournament last year. This represents 80% of all the available tickets.
Calculate the total number of tickets that were available for this tournament.

2021 P1 Q12

A band sold 2400 tickets for their gig in Edinburgh. This was 75% of the number of tickets sold for their gig in Glasgow.
Calculate the number of tickets sold for their gig in Glasgow.

In a 20% sale, a pair of jeans is priced at £48.
What was the original price?

After a marketing campaign, the number of clients that an accountancy firm serves rises 15% to 161.
How many clients had they before their campaign?

2023 P2 Q6

3 Marks

Nadim bought a flat last year. The value of the flat has increased by 8% and it is now worth £94,500.
Calculate how much Nadim paid for the flat.

A bank offers a fixed-rate savings account in which the saver must "lock away" their money for three years at an annual interest rate of 2.5%.
If I save £20,000, how much interest will I earn in total?

A new car costs £25,000 and is projected to lose 15% of its value for each of its first four years.
What will be its value after four years, correct to 3 significant figures?

2014 P2 Q1

3 Marks

There are 964 pupils on the roll of Aberleven High School. It is forecast that the roll will decrease by 15% per year.
What will be the expected roll after 3 years? Give your answer to the nearest ten.

2019 P2 Q1

3 Marks

A charity distributed 80 000 emergency packages during 2018.
This number is expected to increase by 15% each year.
Calculate how many emergency packages the charity expects to distribute in 2021.

2021 P2 Q1

A housing development is being built. The price of a house built in 2020 is £250,000. This price is expected to increase by 4% each year.
Calculate the expected price of a house built in 2022.

2022 P1 Q10

3 Marks

Tommy buys flower seeds from a website.
Tommy is given a 30% discount. He pays £16.10 for the seeds.
Calculate the cost of the flower seeds without the discount.

2023 P2 Q1

3 Marks

A caravan was bought for £20,000. It depreciated by 11% in the first year. It then depreciated by a further 6% each year over the next two years.
Calculate the value of the caravan three years after it was bought.

2024 P2 Q1

3 Marks

Dougie pays £460 for a new laptop.
It is expected that the value of the laptop will depreciate by 26% each year.
Calculate the expected value of Dougie's laptop after 3 years.

2024 P2 Q5

3 Marks

This year the cost of Charley's car insurance is £278.40.
This is an increase of 16% on last year's cost.
Calculate the cost of Charley's insurance last year.

2025 P1 Q4

3 Marks

In a sale, the price of a wedding dress is reduced by 20%.
The sale price of the dress is £720.
Calculate the price of the dress before the sale.

2025 P2 Q1

3 Marks

The number of visitors to a zoo in 2024 was 118 750.
The number of visitors is expected to increase by 4% each year over the next two years.
Calculate the expected number of visitors in 2026.

2026 P1 Q2

3 Marks

An electric car shows that it has enough charge remaining in its battery to travel 180 miles.
The battery has 60% of its charge remaining.
Calculate the number of miles the car can travel when the battery is fully charged.

2026 P2 Q1

4 Marks

A van was valued at $\displaystyle \pounds 22600.$
Its value depreciated by 28% each year for the next three years.
Calculate the value of the van after three years.
Give your answer correct to 3 significant figures.

Practice questions courtesy of Maths.scot. Full written solutions are on his site — the links above go straight to them.

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