AQA GCSE Maths Paper 1: Non-calculator Higher November 2023 question paper 8300/1H

Work out the lowest common multiple (LCM) of 20 and 25

Work out the size of an exterior angle of a regular hexagon.

A is (2, 0) and B is (0, – 4)

Work out the midpoint of AB.

Simplify a + 3 a ÷ a

Work out the value of (8² × 8) ÷ (8⁹ ÷ 8⁵) Give your answer as a decimal.

A music company releases 10 albums.

The scatter graph shows, for each album, the number of downloads on the first day and the number of CDs sold on the first day. A line of best fit has been drawn on the scatter graph.

The scatter graph shows positive correlation.

Describe the relationship between number of downloads and number of CDs sold.

The company earns £2.50 for each download and £3 for each CD sold. The company releases another album. On the first day it has 9000 downloads.

Estimate the total amount the company earns from downloads and CDs of the album that day.

7 70% of a number is 350

Work out 120% of the number.

In the diagrams, all lengths are in centimetres.

The two shapes have equal areas.

Work out k: m

Here is the graph of y = 0.5x² – 6x + 12

Use the graph to estimate the solutions of 0.5x² – 6x + 12 = 0

Shape B is a sector of a circle with radius 5cm

Which shape has the greater area, A or B? You must show your working.

Factorise x² + 2x – 24

Write 2 × 10³ as an ordinary number.

Simplify (2 × 10³): (5 × 10^–1) Give your answer in the form n: 1

Here is an identity in x.

5(2 x + d) ≡ cx + 30

Work out the values of c and d.

Cora is revising for two subjects, History and French. The time she spends revising is in the ratio

History: French = 7: 2

The time she spends revising for History is 20 hours more than for French.

Work out the total time she spends revising.

A race was run in 2019 and in 2020 The box plot shows information about the finishing times in 2019

In 2019, what was the fastest time?

The table shows information about the finishing times in 2020

Use the data to comment on each of the following statements.

On average, times were faster in 2019 than in 2020

Times were equally consistent in 2019 and 2020

The Venn diagram shows information about 80 people who visited an online shop. ξ = 80 people T = people who bought trainers H = people who bought a hoodie

One person is chosen at random.

Work out the probability that they bought a hoodie.

One person who bought trainers is chosen at random.

Work out the probability that they bought a hoodie.

x and y are integers.

Work out the largest possible value of y.

P and Q are points. P (– 3, – 2) is mapped to Q by a rotation about (1, 0) through 90° clockwise. Q is mapped back to P by a single transformation.

Complete these two single transformations that each map Q back to P.

Rotation about (1, 0)

Point A (7, 4) and the line y = x are shown on the grid.

B and C are points on the grid, each having positive integer coordinates. BAC is a right-angled triangle. When BAC is reflected in the line y = x side BC is invariant.

Work out one possible set of coordinates for B and C.

Give your answer as a fraction.

x and y are acute angles.

w = 3 x – 2 y

Work out the value of cos w You must show your working.

Here is a cyclic quadrilateral. a: b: c = 9: 5: 3

Work out the size of angle d.

d = °

Line A is perpendicular to line B. The gradient of line A is – 2

Work out the gradient of line B.

The nth term of a geometric progression is rⁿ where r 0

Work out the third term.

Write 49m ^2.5 as a power of 7 in terms of m.

Write down the solution of x² 16

PQRS is a quadrilateral. PQ is not parallel to SR. X is a point on QR. QX: XR = 2: 3 QX = 2a + 4b

Prove that PQRS is a trapezium.

Here are the equations of three graphs. y = sin x y = cos x y = tan x

Which statement is true? Tick one box.

Which statement is true? Tick one box.