AQA Maths Level 2 November 2021 Paper 2

The probability of an event happening is ³⁄₅

Circle the probability of the event not happening.

x = 5 and y = –3.2
Work out the value of x + y²

A is the point (1, 2)
B is the point
3 squares West of A
and
5 squares South of A.

Work out the coordinates of B.

In the boxes, write the number that is

Write the ratio 144 : 90 in its simplest form.

Here is an isosceles triangle.

Work out the size of angle x.

Jim’s house has gas central heating.

The charges for the gas Jim uses are shown in the table.

In November, Jim uses 1976 kWh of gas.
Use approximations to estimate Jim’s November gas payment.

Jim’s current gas company produces 43% of their gas from green sources.
He sees this pie chart for another gas company, MixGas.

Jim wants to use the company with a greater proportion of gas from green sources.

Should Jim change to MixGas?

Jim is thinking of buying solar panels.
The price of these panels has decreased by 27% since 2016
Jim would need to pay £4803.40 for the panels now.

How much would the panels have cost in 2016?

Ben has a dog called Pluto.

Ben takes Pluto for a walk.
They walk 4 laps of a sports track.
The sports track is the shape of two semi-circles joined by two straight sections

Ben has a target to walk 5000 m each day.

What percentage of his daily target has Ben completed on this walk?

Pluto needs to eat 420 grams of food each day, in the ratio box
wet food : dry food = 2 : 5
Ben buys a 12 kilogram bag of dry food.

How many days of dry food does the bag provide?

In his garden, Ben has a rectangular fenced area for Pluto.
The fenced area measures 2.4 m by 2.25 m
Ben builds a kennel for Pluto which covers ¹⁄₆ of the fenced area.
Here is a sketch of the kennel.

The base of the kennel is a rectangle.

A charity organises an annual sponsored swim.

Ahmed swam 50 lengths of a pool that is 25 metres long.
The swim took him 38minutes.
Ahmed says,
“My average speed was more than 0.7 metres per second.”

Is Ahmed correct?

Ahmed collected £35 for his swim and gave it to the charity.
⁶⁄₇ of this money was donated by taxpayers.
Using Gift Aid, the charity claimed an extra 25p for every £1 donated by a taxpayer.

How much money did the charity receive, including Gift Aid, from Ahmed’s swim?

This year, 20 people completed the sponsored swim.
The table shows information about the sponsor money collected.

Last year, the mean amount collected per swimmer was £14.85

The charity organiser says,

“This year’s mean amount is more than £3 higher than last year’s.”

Is this correct?

Molly is building a conservatory.

Here is a plan view of the conservatory.

The conservatory floor will be made of concrete.
The concrete floor will be 0.1 m deep.

What volume of concrete will Molly need for the floor?

Molly has a scale drawing of the side elevation of the conservatory. box
The scale of the drawing is 3 : 50
The height of the conservatory on the scale drawing is 23.4 centimetres.

Is the actual height of the conservatory less than 4 metres?

Molly wants to build a brick wall as part of the conservatory.
It would take Molly 12 hours to build the wall by herself.
Molly pays 2 builders to work with her to build the wall.
Molly pays each builder £14.73 per hour.

How much will Molly pay each builder for their work?
Assume that Molly and the builders work at the same rate.