AQA GCSE Maths Paper 2: Calculator Higher June 2025 question paper 8300/2H

Work out the highest common factor (HCF) of 16 and 24

Work out the lowest common multiple (LCM) of 10 and 15

Write 42 as a product of its prime factors.

Here are lines A and B.

Complete these statements.

Youssuf posted an advert on his social media channel. The table shows the number of views of the advert during its first 6 days.

On the grid, draw a time series graph to represent the data.

Youssuf receives 0.018p for each view of the advert. Estimate how much he receives from views of the advert on day 7

4 70% of the discs in a box are red and the rest are blue.

40% of the red discs are removed.

50% of the blue discs are removed.

In total, what percentage of the discs are removed from the box?

The length of a fence panel is 160 cm to the nearest 10 cm

Complete the error interval.

A different fence panel measures 2 metres to the nearest 10 cm Kim says that the total length of three of these fence panels must be less than 6.2 m

Show that Kim is correct.

Circle the expression which is a factor of 3 x + 15

3 x x + 12 x + 5 x + 15

The five possible outcomes of an event are A, B, C, D and E. The table shows some of the probabilities.

P(C) = P(B) + 0.1

P(D) = P(E)

Work out P(D)

Here is a circle, centre O.

The circle has a circumference of 20 cm Assume that angle x is 90 °

Work out the shaded area. Give your answer as a decimal.

In fact, angle x is smaller than 90 °

What does this mean about the shaded area? Tick one box.

The number of people that follow an influencer increases from 35 000 to 70 000

The influencer says, “My number of followers has increased by 200%, because 70 000 is 35 000 times 2”

Are they correct? Tick a box.

Give a reason for your answer.

Use trigonometry to work out the value of x. You must show your working.

A straight line is drawn across a regular octagon.

Work out the size of angle x.

x = °

Greg and Hanna want to know if students at their school think lunchtime clubs are important.

Greg asks 15 people at the lunchtime chess club.

Give one reason why his results may not represent the whole school.

Here are Hanna’s results.

• 62% answered Important.

• 24% answered Not Important.

• The rest answered Don’t Know.

93 students answered Important.

How many students answered Don’t Know?

Emma and Chan each drive 154 miles from A to B.

Emma drives the whole way at an average speed of 56 miles per hour.

Chan drives 85 miles at an average speed of 50 miles per hour and then the rest of the way at an average speed of 60 miles per hour.

Who takes less time, Emma or Chan? Show working to support your answer.

a, b and c are positive integers.

a (9 x + 2) ≡ 45 x + 3 b + c

Work out one possible set of values for a, b and c.

Solve 3x² + 5x – 9 = 0 Give your solutions as decimals.

The value of a second-hand car decreases by 12.1% per year.

Work out the number of full years until the car loses more than half its value. You must show your working.

When a biased coin is spun, P(Heads): P(Tails) = 5: 2 In a game, the player spins the coin four times. The player can win in two ways.

How many times more likely is a player to win the 1st way than the 2nd way?

Lines AB, BC, CD and AD form two triangles.

Work out the length of AD.

The histogram represents the ages of the 500 members of a gym. The first bar represents the members aged at least 16 and under 20

Each member pays an annual fee based on their age.

Use the histogram to estimate the total annual fees paid by these members.

David has solved the inequality x² 16 and represented his solution on the number line below.

Give one reason why David’s solution is wrong.

Write down the equation of the circle.

Work out the equation of the tangent. Give your answer in the form y = mx + c

Shape A and shape B are shown on the grid.

Describe the single transformation that maps shape A to shape B.

ABCD is a quadrilateral. AC and BD intersect at P.

BP: PD = 3: 2 AP: PC = 1: k

Work out the value of k. You must show your working.

A study suggests a student’s exam mark, m, is directly proportional to the cube root of total revision time, t hours.

A student doubles their total revision time.

Work out the percentage increase in their exam mark.

f(x) = ax + b and g(x) = where a and b are positive integers.

Prove that fg(x) – af^–1(x) is always a multiple of 3