ACTUAL 2025 AQA A-LEVEL MATHEMATICS Paper 1 Question Paper & Mark Scheme (Merged) Wednesday 4 June 2025 [VERIFIED]

ACTUAL 2025 AQA A-LEVEL MATHEMATICS Paper 1
Question Paper & Mark Scheme (Merged)
Wednesday 4 June 2025 [VERIFIED]

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



1 The equation of a curve is given by

y = 3ex
dy
Find an expression for
dx
Circle your answer.
[1 mark]

3e–x 3e1 3ex 3 xe x –1




2 A sequence is defined by

1
xn+1 = – xn with x1 = 32
4

The first four terms of the sequence are

32, –8, 2, –0.5

Which one of the following can be used to describe this sequence?

Circle your answer.
[1 mark]

Convergent Decreasing Increasing Periodic




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, 3
Do not write
outside the
box
3 Express

log3 2x – log3 x

as a single logarithm.

Circle your answer.
[1 mark]

1
log log3 2 log3 x log3 2 x2
3 2



Turn over for the next question




Turn over U



G/Jun25/7357/1

, 4
Do not write
outside the
box
4 The first three terms, in ascending powers of x, of the binomial expansion
1
of (1 – 8x) 2 are

1 + nx – 8 x2

where n is a constant.


4 (a) State the range of values of x for which the expansion is valid.

Circle your answer.
[1 mark]
1 1
│x│ –8 │x│ – │x│ │x│ 8
8 8



4 (b) State the value of the constant n

Circle your answer.
[1 mark]

1
– 16 –4 4
2




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