ACTUAL 2025 AQA A-LEVEL MATHEMATICS Paper 3
Question Paper & Mark Scheme (Merged)
Thursday 19 June 2025 [VERIFIED]
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 A student states that the product of two irrational numbers is always irrational.
One of the options is a counter example that shows the student’s statement is
incorrect.
Identify the counter example. Circle
your answer.
[1 mark]
1 1
e×0=0 ×π=1 × √ 6 = √3 2 × √3 = √6
π √2
G/Jun25/7357/3
, 3
Do not write
outside the
box
2 The diagram shows the graph of y = arctan x
y
a
O x
–a
The graph has horizontal asymptotes at y = – a and y = a
State the value of a
Circle your answer.
[1 mark]
π 1 π π
4 2
Turn over for the next question
G/Jun25/7357/3
, 4
Do not write
Turn over U outside the
G/Jun25/7357/3
Question Paper & Mark Scheme (Merged)
Thursday 19 June 2025 [VERIFIED]
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 A student states that the product of two irrational numbers is always irrational.
One of the options is a counter example that shows the student’s statement is
incorrect.
Identify the counter example. Circle
your answer.
[1 mark]
1 1
e×0=0 ×π=1 × √ 6 = √3 2 × √3 = √6
π √2
G/Jun25/7357/3
, 3
Do not write
outside the
box
2 The diagram shows the graph of y = arctan x
y
a
O x
–a
The graph has horizontal asymptotes at y = – a and y = a
State the value of a
Circle your answer.
[1 mark]
π 1 π π
4 2
Turn over for the next question
G/Jun25/7357/3
, 4
Do not write
Turn over U outside the
G/Jun25/7357/3
