AQA GCSE Maths Paper 1: Non-calculator Higher June 2025 question paper 8300/1H

Solve the simultaneous equations

2 x + 5 y = 18 2 x + y = 6

Work out the value of x.

x =

A metal solid has volume 11 cm³

Work out the mass of the solid.

Here are 11 numbers.

2 8 10 12 12 14 19 23 26 31 33

Work out the inter-quartile range.

The table shows information about the marks of students in a test.

Tick one box for each statement.

Work out 0.6 ÷ 100 Give your answer in standard form.

Work out 40 × 30 × 10⁵ Give your answer in standard form.

7 330 students from Year 10 and Year 11 take part in a competition.

number of students in Year 10: number of students in Year 11 = 1: 2

125 students win a medal.

73 of the students who win a medal are in Year 11

Complete the frequency tree.

Give your answer as a fraction.

y =

Which of these values of x gives the greatest value of y ? Circle your answer.

The area of the rectangle is 120 cm²

Work out the value of x.

Write down the translation vector that maps shape A to shape B.

Describe fully a rotation that maps A to B.

Oscar and Nikita share some money in the ratio 8: 5 Oscar has £27 more than Nikita.

How much do they have altogether?

c and d are consecutive cube numbers, where c 4.5³ d

Work out the value of d – c

Complete the table of values for y = 2

Draw the graph of y = 2^x for values of x from –1 to 3

A, C and D are points on a circle, diameter AC. ABC is an isosceles triangle with AC = BC BCD is a straight line.

Work out the size of angle x.

A and B are two events.

Match each box on the left to the correct shaded area on the Venn diagrams. One has been done for you.

A bus is due to arrive at a bus stop at 1 pm The probability that the bus is on time is halved when it is raining.

Complete the tree diagram.

Work out the probability that at 1 pm it is raining and the bus is not on time.

where a and b are integers.

Work out the value of n.

The graph of y = f(x) for 0 x 3 is shown.

On the grid below, draw the graph of y = –f(x) for 0 x 3 The graph of y = f(x) is shown to help you.

On the grid below, draw the graph of y = f(x) + 1 for 0 x 3 The graph of y = f(x) is shown to help you.

Here is a sketch of straight line EG.

Work out the coordinates of F.

Write x 2 + 12 x + 50 in the form (x + a) 2 + b where a and b are integers.

A curve has the equation y = (x – 3) 2 – 8

Write down the coordinates of the turning point of the curve.

There are n counters in a box. 6 of the counters are black. Two counters are chosen at random without replacement. The probability that both counters are black is

Use an algebraic method to work out the value of n.

n =