AQA Maths Level 2 June 2022 Paper 2

Here are four numbers.

11   11   13   17

Work out the median.

Write these numbers in order, starting with the smallest.

–16   4   –2   –20   7   –1

Here is a diagram made of three straight lines.

Work out the size of angle x.

Work out the percentage increase from 250 to 330

The radius of a semicircle is 5cm

Work out the perimeter of the semicircle.

Ruth saves £3000 to pay for another holiday in 4 years’ time.
She sees adverts for two banks.

Ruth says,
“The total interest for 4 years will be at least £65 greater if I invest the £3000 in
Bank A.”

Is she correct?

Skateboarding box
Jess is organising a skateboarding competition.

Here is a diagram of a skateboarding ramp.

Here is a scale drawing of the front elevation of the skateboarding ramp.
It is drawn on centimetre square paper.

Here is the formula to calculate the volume of the ramp.
Volume = (length of base)³ × 1.7 ÷ 12
The ramp is made of concrete.
The density of concrete is 2400 kilograms per cubic metre.
Work out the mass of the ramp.

160 skateboarders enter the competition.
The skateboarders are adults or children.
Each skateboarder does the Yogi run or the Zulu run.

40% of the skateboarders do the Zulu run.
18 of the children do the Yogi run.
20 more adults do the Yogi run than the Zulu run.

One skateboarder is chosen at random.
Work out the probability that the skateboarder is a child.
You may use the table to help you.

Janik is walking a marathon to raise money for charity.

The marathon is 26.2 miles long.
Janik starts at 9.30 am walks at a constant speed of 4 miles per hour takes 3 breaks that are 15 minutes each.

Will Janik finish the marathon before 5 pm?

This year 30000 people walked the marathon. box
The table shows the time it took the walkers to complete the marathon.

Last year, the mean time was 9.2 hours.
The marathon organiser says,
“This year, the mean time was lower by more than half an hour.”

Is the organiser correct?

The 30 000 people in the marathon were in the ratio
adults : children = 11 : 1
Each adult paid an entry fee of £38
Children walked for free.
The charity’s target was to raise £1 million from entry fees

Did the charity meet its target?

Chen has a pool in his garden.

Chen’s pool is cylindrical.

The diameter of the pool is 2.3 metres.
Chen wants the depth of the water to be 1.6 metres.
The hosepipe fills the pool at a rate of 50 litres every 4 minutes.
1000 litres = 1 cubic metre
How many minutes will it take for the pool to go from empty to the required depth?

Chen needs to buy 3 gallons of cleaning chemical to put in the pool.
He sees this advert online.

Chen says,
“It will cost less than £100 to buy the bottles of chemical I need.”

Is Chen correct?
1 gallon = 4.546 litres