AQA GCSE Maths Paper 3: Calculator Higher June 2025 question paper 8300/3H

Convert 8.25 pounds into kilograms. Use 2.2 pounds = 1 kilogram

Here are the temperatures in six cities in degrees Celsius.

0 ° C – 3 ° C 0 ° C 1.5 ° C 23 ° C 4 ° C

Write down the outlier.

Here is a circle, centre O

Match each letter to the correct word. One has been done for you.

Here is an equilateral triangle. All measurements are in centimetres.

Work out the value of the perimeter of the triangle.

The pie chart represents the results of matches played by a team.

30 matches were won.

How many matches were lost?

Here is a scale diagram showing towns A, B and C on a centimetre grid.

Work out the actual distance from B to C. Give your answer in kilometres.

B is South East of A.

Write down the bearing of B from A.

Write 2 weeks as a fraction of 8 days. Give your answer in its simplest form.

Write 56 centimetres: 2.73 metres as a ratio in the form 1: n

7

Write A as a fraction of B.

A linear sequence has

• 2nd term = 6

• 5th term = 18

Work out the n th term of the sequence.

Ary, Bea and Cat each have an amount of money. Cat has £280

• Cat’s amount is of Bea’s amount.

• Ary’s amount: Bea’s amount = 5: 12

Work out how much money Ary has.

The Venn diagram shows some of the numbers of items in each set.

Work out the value of x.

Write down the equation of a straight line parallel to y – 2 x = 9

A straight line

• has gradient 5

• passes through the point (3, 7)

Circle the equation of the line.

y = 3 x – 2 y = 3 x + 7 y = 5 x y = 5 x – 8

Rob records the time he takes to drive to work every day for 80 days. The table shows information about the results.

Time, t (minutes)	Frequency
20 t 25	16
25 t 30	32
30 t 40	24
40 t 60	8
	Total = 80

Last year, the mean time Rob took to drive to work was 25 minutes.

Estimate the percentage increase in the mean driving time for these 80 days.

The table shows information about the salary of 90 employees.

Salary, s (£)	Frequency
0 s 20 000	44
20 000 s 40 000	22
40 000 s 60 000	14
60 000 s 80 000	5
80 000 s 100000	2
100 000 s 120 000	3

Complete the cumulative frequency table.

Salary, s (£)	Cumulative Frequency
s 20000	44
s 40000	66
s 60000
s 80000
s 100000
s 120000

Draw a cumulative frequency diagram to represent the data.

Estimate the number of employees with a salary less than £32 000

14 For a small plane, (a)

• the mass of the empty plane is 800 kg, to the nearest 100kg

• the mass of fuel is 190 kg, to the nearest 5 kg

• the mass of the passengers is 163 kg, to the nearest kg

The total mass of a plane is calculated by adding these three masses. The maximum mass for the plane to take off safely is 1200 kg

Can this plane definitely take off safely? Tick a box.

Show working to support your answer.

A different plane travels 1250 miles in 2 hours 30 minutes at a constant speed.

On the grid, draw a speed/time graph to represent this information.

Amy and Becky each make integers using three single digits. In any integer, digits may be repeated.

• Amy makes even integers with a first digit greater than 7

• Becky makes odd integers with a first digit that is non-zero.

They each make as many different integers as possible.

How many more integers than Amy does Becky make?

x is a positive even number. y = (x – 3)(x – 5)(x + 6)

Without expanding brackets, explain why there is only one value of x for which y is negative.

Use the sine rule to work out x.

Here are the first four terms of a quadratic sequence.

6 15 28 45

Work out an expression for the n th term.

On the grid, identify the region represented by

Label the region R.

Factorise fully 3n² + 5n + 2

A sequence has nth term 3n² + 5n + 2

Are any of the terms in the sequence a prime number? Tick a box.

Give a reason for your answer.

Five identical spheres just fit inside a cylinder. Each sphere has radius r.

What fraction of the space inside the cylinder is filled by the spheres? You must show your working.

Solve 2x² 12 – 5x

A roller coaster starts at ground level. The height above ground level, h, in metres, of the roller coaster is given by

where t is the time in seconds after the roller coaster starts.

Sam draws a graph of h against t for 0 t 14

Make two criticisms of Sam’s graph.

Triangles ABC and DEF are similar.

Work out the area of DEF.