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A-level MATHEMATICS Paper 1

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A-level MATHEMATICS Paper 1 Tuesday 4 June 2024 Afternoon Time allowed: 2 hours Materials  You must have the AQA Formulae for A‑level Mathematics booklet.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the space provided for that question.  If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s).  Do not write outside the box around each page or on blank pages.  Show all necessary working; otherwise marks for method may be lost.  Do all rough work in this book. Cross through any work that you do not want to be marked. Information  The marks for questions are shown in brackets.  The maximum mark for this paper is 100. Advice  Unless stated otherwise, you may quote formulae, without proof, from the booklet.  You do not necessarily need to use all the space provided. (JUN) G/LM/Jun24/G4005/E6 7357/1 Answer all questions in the spaces provided. 1 Find the coefficient of x in the expansion of (4x3 – 5x2 + 3x – 2)(x5 + 4x + 1) Circle your answer. [1 mark] box –5 –2 7 11 2 The function f is defined by f (x) = ex + 1 for x ℝ Find an expression for f –1(x) Tick () one box. [1 mark] box f –1(x) = ln (x – 1) f –1(x) = ln (x) – 1 f –1(x) = 1 ex + 1 f –1(x) = x – 1 Turn over for the next question Turn over U 3 The expression 12x2 + 3x + 7 3x – 5 box can be written as State the value of A Circle your answer. Ax + B + C [1 mark] 3 4 7 9 4 One of the diagrams below shows the graph of y = arccos x Identify the graph of y = arccos x Tick () one box. [1 mark] box y π 2 –1 O x y π 2 O 1 x Turn over for the next question Turn over U 5 Solve the equation box for 0° x 360° sin2 x = 1 [3 marks] 6 Use the chain rule to find dy d x when y = (x3 + 5x)7 [2 marks] box Turn over for the next question Turn over U (07) 7 Show that box 3 + √ 8n 1 + √ 2n can be written as 4n – 3 + √ 2n 2n – 1 where n is a positive integer.

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Maths paper1




Please write clearly in block capitals.


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I declare this is my own work.



A-level
MATHEMATICS
Paper 1

Tuesday 4 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
 You must have the AQA Formulae for A-level Mathematics booklet.
Questio Mark
 You should have a graphical or scientific calculator that n
meets the requirements of the specification.
1
Instructions 2
3
 Use black ink or black ball-point pen. Pencil should only be used for drawing.
 Fill in the boxes at the top of this page. 4
 Answer all questions. 5
 You must answer each question in the space provided for that question. 6
 If you need extra space for your answer(s), use the lined pages at 7
the end of this book. Write the question number against your 8
answer(s).
9
 Do not write outside the box around each page or on blank pages.
 Show all necessary working; otherwise marks for method may be lost.
10
 Do all rough work in this book. Cross through any work that you do 11
not want to be marked. 12
13
Information 14
 The marks for questions are shown in brackets.
15
 The maximum mark for this paper is 100.
16
Advice 17
 Unless stated otherwise, you may quote formulae, without 18
proof, from the booklet. 19
 You do not necessarily need to use all the space provided. 20
TOTAL

Maths paper1

,Maths paper1




(JUN247357101)
G/LM/Jun24/G4005/
E6 7357/1




Maths paper1

, 2
Do not write
outside the
Answer all questions in the spaces box
provided.



1 Find the coefficient of x in the expansion of

(4x3 – 5 x 2 + 3x – 2)(x5 + 4x +
1)
[1 mark]
Circle your answer.

–5 –2 7 11




(02
) G/
Jun24/7357/1

, 3
Do not write
outside the
2 The function f is defined by f (x) = ex + 1 for box

x ℝ

Find an expression for f –

1(x) Tick ( ) one box. [1 mark]
🗸

f –1(x) = ln (x – 1)


f –1(x) = ln (x) – 1

1
f –1(x) =
ex + 1

x–1
f –1(x) = e




Turn over for the next question




Turn over U

(03
) G/
Jun24/7357/1

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