AQA
AS
MATHEMATICS
7356/1
Paper 1
Version: 1.0 Final
PB/KL/Jun23/E4 7356/1
AS
MATHEMATICS
Paper 1
Time allowed: 1 hour 30 minutes
Materials
l
... [Show More] You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
l You must answer each question in the space provided for that question.
l 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).
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 80.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the
booklet.
l You do not necessarily need to use all the space provided.
Please write clearly in block capitals.
Centre number Candidate number
Surname ________________________________________________________________________
Forename(s) ________________________________________________________________________
Candidate signature ________________________________________________________________________
For Examiner’s Use
Question Mark
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
TOTAL
I declare this is my own work.
2
Section A
Answer all questions in the spaces provided.
1 At a point P on a curve, the gradient of the tangent to the curve is 10
State the gradient of the normal to the curve at P
Circle your answer.
[1 mark]
10 0.1 0.1 10
2 Identify the expression below which is equivalent to 2x
5
3
Circle your answer.
[1 mark]
8x3
125
125x3
8
125
8x3
8
125x3
Jun23/7356/1
Do not write
outside the
box
(02)
3
3 The coefficient of x2 in the binomial expansion of (1 þ ax)
6 is 20
3
Find the two possible values of a
[3 marks]
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Turn over for the next question
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outside the
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Jun23/7356/1
Turn over s
(03)
4
4 It is given that 5 cos2 y 4 sin2 y ¼ 0
4 (a) Find the possible values of tan y, giving your answers in exact form.
[3 marks]
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4 (b) Hence, or otherwise, solve the equation
5 cos2 y 4 sin2 y ¼ 0
giving all solutions of y to the nearest 0.1 in the interval 0 y 360
[2 marks]
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Jun23/7356/1
(04)
5
5 (a) Given that y ¼ x ffiffiffi
x p , find dy
dx
[2 marks]
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5 (b) The line, L, has equation 6x 2y þ 5 ¼ 0
L is a tangent to the curve with equation y ¼ x ffiffiffi
x [Show Less]