AS Core Maths - Percentages

The following are the old and new prices for four items in a sale. Which option has the biggest percentage reduction? You must calculate the percentage reduction for each option.

• Old price: £120, New price: £108

• Old price: £75, New price: £63

• Old price: £160, New price: £120

• Old price: £200, New price: £160

Answer explanation

The population of a town grows from 47,300 to 50,500. What is the percentage increase? Give your answer to one decimal place.

Answer explanation

What is the multiplier for a 2.1% increase?

Mathematical Equivalence

ON

Answer explanation

What is the multiplier for a 1.6% decrease?

Mathematical Equivalence

ON

Answer explanation

Mrs. Smith pays £11.61 for a return rail ticket to the nearest city. Prices are set to rise by 3.4%. What should she expect her train ticket to cost after the rise?

Answer explanation

Mrs. Smith goes on a rail journey with a friend. Her friend has a rail card that gives her 20% off the cost of her ticket. Mrs. Smith pays full price. The total cost for both tickets together is £71.19. How much is Mrs. Smith’s ticket?

Answer explanation

A group of workers earn £45,000 per year. They are asking for a 5% increase in their salary. What would their new salary be if they got the increase?

• £44,000
• £50,000
• £47,250
• £48,000

Answer explanation

The average inflation rate in the UK from 1980 to 2017 was 3.9% a year. John started work in 1980 earning £6,000 a year. What annual salary would buy the same amount of goods in 2017? Give your answer to the nearest thousand pounds.

Answer explanation

There is a 32% increase in robberies in a year. After the increase, there were 430 robberies. How many robberies were there before the increase?

Mathematical Equivalence

ON

Answer explanation

A headline says: "Number of cars in city increases by 180%". What does this mean?

• It can’t be true because it’s not possible to have more than a 100% increase.

• The number of cars in the city has nearly doubled.

• The number of cars in the city has nearly trebled.

• There are 18 times as many cars in the city.

Answer explanation