AQA GCSE Maths Paper 1: Non-calculator Higher June 2024 question paper 8300/1H

Measure the shortest distance from point P to the line. Give your answer in millimetres.

Write down the vector that translates B to A.

The attendance for a rugby match is 8400 people to the nearest 100

Write down the minimum possible attendance.

Write down the maximum possible attendance.

A school year has 78 students. 28 wear glasses. of the students who wear glasses are left-handed. 30% of the students who do not wear glasses are left-handed.

ξ = students in the school year G = wears glasses L = left-handed

Complete the Venn diagram.

A left-handed student is chosen at random.

Work out the probability that the student wears glasses.

The table shows the number of workers at a company in different years.

A time-series graph is drawn to represent the data. The first four points have been plotted.

Complete the graph.

Estimate the number of workers at the company in 2023

Here is a cone.

Beth tries to work out the curved surface area in terms of π

What mistake has she made?

Adam uses π = 3 to estimate the area of the base of the cone.

Work out his estimate.

Beth uses π = 3.14 to estimate the area of the base of the cone.

Is Beth’s estimate more than or less than Adam’s estimate? Tick a box.

Give a reason for your answer.

Solve 7 x – 22 = 4 x + 29

In a house the floor area of the living room is 26 m² the floor area of the kitchen is 16.4m²

Express the area of the living room as a fraction of the area of the kitchen. Give your answer in its simplest form.

Represent –2 x 4 on the number line.

Solve 5y + 14 11

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

A sector has radius 12 cm and angle 60 °

Work out the length of the arc. Give your answer in terms of π

ABCDE is a pentagon with AB = 7 cm

AB and BC are perpendicular.

AB and DC are equal and parallel.

Area of the pentagon = 54 cm²

The pentagon has exactly one line of symmetry.

Complete a labelled drawing of the pentagon.

4 chocolate bars and 3 packets of mints cost £4.70 5 chocolate bars and 1 packet of mints cost £4.50

Work out the cost of a chocolate bar and the cost of a packet of mints.

Between which two consecutive integers does the square root of 210 lie?

Here are two calculations, A and B.

Use approximations to show that answer to A answer to B

The table shows information about the ages of members of two clubs.

Compare the average age and consistency of ages for the members of the two clubs.

A circle has centre O and passes through (0, 6)

Write down the equation of the circle.

A, B and C are numbers. Here is some information about B and C.

Work out C as a fraction of B.

5x + ax + bx + c ≡ kx + (2 – k)x + (a – 1) x +

Work out the values of a, b and c.

A, B and C are points on a circle, centre O. AP and BP are tangents to the circle.

Work out the size of angle x.

Work out the next term.

9k + 7 and 2k² + 3 are consecutive integers. 9 k + 7 is the smaller integer.

Work out the value of the next consecutive integer.

x is a square number.

Show that the value of 6 sin 30 ° + 2 cos 30 ° × 4 tan 30 ° is an integer.