ACTUAL 2025 AQA A-LEVEL FURTHER MATHEMATICS Paper 1 Question Paper & Mark Scheme (Merged) Thursday 22 May 2025 [VERIFIED]

ACTUAL 2025 AQA A-LEVEL FURTHER MATHEMATICS Paper 1 Question Paper & Mark
Scheme (Merged) Thursday 22 May 2025 [VERIFIED]

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



1 The equation x2  4x  c  0 has non‑ real roots.

Find the range of possible values of c

Circle your answer.
[1 mark]

c4 c4 c4 c4




2 The point A on the Argand diagram represents the complex number z

The point B is the reflection in the imaginary axis of the point A


Im




O Re


A B




Which complex number does the point B represent?

Circle your answer.
[1 mark]
1
z z z 
z




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,3
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outside the




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, 4
Do not write
outside the
3 Which one of the following expressions cannot be evaluated by l’Hôpital’s rule? box


Circle your answer.
[1 mark]

x x2 tanh x ex 1
lim lim lim lim
x 0 cos x x 0 sin x x 0 2x x 0 ln 1 x




4 Which one of the following statements is always correct?

Tick ( ) one box.
[1 mark]

1
sinh2 x 1 cosh 2x
2


sech2 x tanh2 x 1



cosech2 x coth2 x 1


1
cosh2 x (cosh 2x 1)
2




Turn over for the next question




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