AQA AS FURTHER MATHEMATICS Paper 1 May 2023

AQA

AS
FURTHER MATHEMATICS
Paper 1

May 2023

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




1 Which expression below is equivalent to tanh x ?

Circle your answer.
[1 mark]
sinh x
sinh x cosh x cosh x
cosh sinh x + cosh x
x sinh x




2 The two vectors a and b are such that a.b = 0

State the angle between the vectors a and b

Circle your answer.
[1 mark]


0° 45° 90° 180°




G/Jun23/7366/1

, 3
Do not write
outside the
box
3 The matrices A and B are given by


[
3 1
A= 0 5 [
0 4
B= 7 1

Calculate AB ] ]
Circle your answer.
[1 mark]

[ ]
3 5
7 6 [ 0 20
21 12 ] [ ]
0 4
0 5 [ ]
7 13
35 5




4 The roots of the equation

5x3 + 2x2 – 3x + p = 0

are α, β and γ

Given that p is a constant, state the value of αβ + βγ + γα

Circle your answer.
[1 mark]


3 2 2 3
–5 –5 5 5




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