AQA Maths Level 2 March 2023 Paper 2

Select the largest number.

Write the number   two million, four hundred and eight thousand

Write the ratio   150 : 240     in its simplest form.

Complete the table to show 3% as a decimal and a fraction.

An object has mass 59.5 grams and volume 17 cm³
Work out the density of the object.

Calculate ⁷⁄₈ + ¹⁄₄

Give your answer as a mixed number.

Israa has started running to get fit.

One day, Israa ran and walked for 55 minutes in the ratio
minutes running : minutes walking = 7 : 4
The table shows information about calories.

Work out the total number of calories Israa burned in the 55 minutes.

Israa wants to buy new running shoes.
The price of the shoes is reduced in a sale.

By how much, in pounds, is the price reduced?

180 runners take part in a race.
Each runner completes either 3 km or 5 km
The two-way table shows information about the runners.

A runner is chosen at random.
Israa says, “The probability that the runner is an adult in the 5 km race is less than 0.55.”

Is she correct?

Jack is renting a flat while he saves to buy a house.

Jack rents a flat in town.
The table shows information about the rent of 20 other flats in the same town.

Jack pays rent of £637 per month.

How much more than the estimated mean of these 20 flats does Jack pay per month?

Jack plans to save a total of £18 000

He
has already saved £13 200
will save the rest from his monthly salary of £1600
will save the same amount each month for 24 months.

What percentage of his monthly pay does he need to save?

Jack takes a second job.

He works each Saturday from 9 am to 12 noon and from 1 pm to 5 pm. He earns £13.50 per hour.

¹⁄₅ of his pay is deducted for income tax.

How much does Jack earn each Saturday after income tax has been deducted?

Kira has 48 goats that produce milk.
On average, each goat produces 3.21 litres of milk per day.

Using approximations, estimate how many litres of milk, in total, the goats produce each month.

You must show your working.

Kira uses some of the milk from her goats to make soap.
The soap is made into two different solids.
To package the soaps, Kira needs to work out the surface areas.

Soap A is a cuboid with a surface area of 153 cm²
Soap B is a cylinder with a radius of 5 cm and a height of 1.8 cm
Here is a sketch of the net of the cylinder.

Kira says, “The surface area of soap A is less than ³⁄₄ of the surface area of soap B.”

Is Kira correct?

Emil uses this formula to calculate the delivery cost for a parcel.

A parcel weighs 4.2 kg and has a delivery distance of 85 miles.

Emil says, “The cost will be less than £10.”

Is he correct?