FURTHER MATHEMATICS ACTUAL 2025
PAPER MERGED WITH MARK SCHEME
Paper 1
Please write clearly in block capitals.
Candid
Centre ate
number number
Surname For Examiner’s Use
_________________________________________________________________________
Question Mark
Forename(s) _________________________________________________________________________
1
Candidate signature _________________________________________________________________________
2
I declare this is my own work.
AS
3
4
FURTHER MATHEMATICS 5
Paper 1 6
7
Monday 12 May 2025 Afternoon Time allowed: 1 hour 30 minutes
Materials 8
l You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. l You should have a 9
graphical or scientific calculator that meets the requirements of the specification.
10
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. 11
l You must answer each question in the space provided for that question. If
you require extra space for your answer(s), use the lined pages at the end of this 12
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; 13
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. 14
15
16
TOTAL
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Do not write
outside the
box
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.
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Answer all questions in the spaces provided.
1 Calculate the product
(3 + i)(2 – i)
Circle your answer.
[1 mark]
5–i 5+i 7–i 7+i
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Do not write
outside the
box
2 The complex number 3 + 5i is a root of the quadratic equation
z2 + az + b = 0
where a and b are real constants.
Find the other root of the equation.
Circle your answer.
[1 mark]
3 – 5i 3 + 5i 5 – 3i 5 + 3i
(02)
Turn over U
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Do not write
outside the
box
3 Find the equations of the asymptotes of the curve with equation
(x – 1)(x + 2)
y=
(x + 1)(x – 2)
Tick () one box.
[1 mark]
x = 1, x = –2, y = 1
x = 1, x = –2, y = –1
x = –1, x = 2, y = 1
x = –1, x = 2, y = –1
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