AQA FURTHER MATHEMATICS
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AQA FURTHER MATHEMATICS 30
Latest content AQA FURTHER MATHEMATICS
AQA-7367-3S-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 3S:Statistics-A LEVEL-Jun24-v1.0. 
 
Q Marking Instructions AO Marks Typical Solution 
1 Circles the 1st answer 1.1b B1 4 
Question total 1 
Q Marking Instructions AO Marks Typical Solution 
2 Circles the 3rd answer 1.1b B1 1 – e 
–0.7 
Question total 1 
Q Marking Instructions AO Marks Typical Solution 
3 Circles the 2nd answer 1.1b B1 10 3 2 – 
2 
Question total 1 
 
000006 
Page 6 of 17 
FURTHER MATHEMATICS 
MARK SCHEME – ...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-3M-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 3M:Mechanics-A LEVEL-Jun24-v1.0. 
 
Q Marking Instructions AO Marks Typical Solution 
1 Circles 1st answer 2.2a B1 8i 
Question total 1 
Q Marking Instructions AO Marks Typical Solution 
2 Circles 3rd answer 1.1b B1 0.9 N s 
Question total 1 
Q Marking Instructions AO Marks Typical Solution 
3 Ticks 2nd box 2.2a B1 T sin θ = mrω2 
Question total 1 
Q Marking Instructions AO Marks Typical Solution 
4(a) States or uses the formula f...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-3D-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 3D:Discrete-A LEVEL-Jun24-v1.0. 
Q Marking instructions AO Marks Typical solution 
1 Ticks 3rd box 1.1b B1 {0, 1, 2, 3} Addition modulo 4 
Question total 1 
Q Marking instructions AO Marks Typical solution 
2 Ticks 3rd box 1.1b B1 19, 48 
Question total 1 
Q Marking instructions AO Marks Typical solution 
3 Ticks 4th box 1.1b B1 G is planar 
Question total 1 
 
000006 
Page 6 of 17 
FURTHER MATHEMATICS 
MARK SCHEME – A-LEVEL FURTHE...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-2-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 2-A LEVEL-Jun24-v1.0. 
Q Marking instructions AO Marks Typical solution 
1 Circles 3 
rd answer 1.1b B1 8 
Question total 1 
Q Marking instructions AO Marks Typical solution 
2 Circles 2nd answer 2.2a B1 45 m s–1 
Question total 1 
Q Marking instructions AO Marks Typical solution 
3 Ticks 3rd box 2.2a B1 0 < g(x) ≤ 1 
Question total 1 
Q Marking instructions AO Marks Typical solution 
4 Circles 4 
th answer 2.2a B1 (x 
2 + 25) 
Que...
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- • 28 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-1-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 1-A LEVEL-Jun24-v1.0. 
Q Marking instructions AO Marks Typical solution 
1 Circles 2nd answer 1.1b B1 
– 
1 
5 
Question total 1 
Q Marking instructions AO Marks Typical solution 
2 Circles 3rd answer 2.2a B1 z 
6 
Question total 1 
Q Marking instructions AO Marks Typical solution 
3 Circles 2nd answer 2.2a B1 4 
3 
Question total 1 
Q Marking instructions AO Marks Typical solution 
4 Ticks 1st box 1.2 B1 ( ) = 
x 
x x 
→ 
2 
0 
...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7366-2S-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 2S:Statistics-AS LEVEL-Jun24-v1.0. 
 
AO Description 
AO1 
AO1.1a Select routine procedures 
AO1.1b Correctly carry out routine procedures 
AO1.2 Accurately recall facts, terminology and definitions 
AO2 
AO2.1 Construct rigorous mathematical arguments (including proofs) 
AO2.2a Make deductions 
AO2.2b Make inferences 
AO2.3 Assess the validity of mathematical arguments 
AO2.4 Explain their reasoning 
AO2.5 Use mathematical langu...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7366-2M-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 2M:Mechanics-AS LEVEL-Jun24-v1.0. 
 
Q Marking instructions AO Marks Typical solution 
1 Circles the 1st answer. 1.1b B1 1.25 J 
Question total 1 
Q Marking instructions AO Marks Typical solution 
2 Circles the 2nd answer. 2.2a R1 MLT–1 
Question total 1 
Q Marking instructions AO Marks Typical solution 
3 Circles the 2nd answer. 1.1b B1 0.4 rad s–1 
Question total 1 
Q Marking instructions AO Marks Typical solution 
4(a) Obtains ...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7366-2D-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 2D:Discrete-AS LEVEL-Jun24-v1.0. 
 
Q Marking instructions AO Marks Typical solution 
1 Circles 2nd answer 1.2 B1 v – e + f = 2 
Question total 1 
Q Marking instructions AO Marks Typical solution 
2 Circles 4th answer 2.2a B1 mn 
Question total 1 
Q Marking instructions AO Marks Typical solution 
3 Ticks 3rd box 1.1b B1 
Question total 1 
Q Marking instructions AO Marks Typical solution 
4(a) Completes table with at least two 
correct...
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- • 13 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7366-1-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 1-AS LEVEL-Jun24-v1.0. 
Q Marking instructions AO Marks Typical solution 
1 Circles the 1st answer. 1.1b B1 + x 
2 
1 sinh 
Question total 1 
Q Marking instructions AO Marks Typical solution 
2 
Ticks the 2nd box. 1.1b B1 x x + d 
5 
2 
0 
(2 3) 
Question total 1 
Q Marking instructions AO Marks Typical solution 
3 
Circles the 3rd answer. 1.1b B1 
1 
2 
Question total 1 
Q Marking instructions AO Marks Typical solution 
4 ...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7367-3S-FURTHER MATHEMATICS QUESTION PAPER 3S:Statistics-A LEVEL-7Jun24-PM. 
 
2 
Do not write 
outside the 
box 
(02) G/Jun24/7367/3S 
Answer all questions in the spaces provided. 
1 The random variable X has a Poisson distribution with mean 16 
Find the standard deviation of X 
Circle your answer. 
[1 mark] 
4 8 16 256 
2 The random variable T has an exponential distribution with mean 2 
Find P(T ≤ 1.4) 
Circle your answer. 
[1 mark] 
e 
–2.8 e 
–0.7 1 – e 
–0.7 1 – e 
–2...
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- • 16 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-3M-FURTHER MATHEMATICS QUESTION PAPER 3M:Mechanics-A LEVEL-7Jun24-PM. 
 
2 
Do not write 
outside the 
box 
(02) G/Jun24/7367/3M 
Answer all questions in the spaces provided. 
1 A particle moves in a circular path so that at time t seconds its position vector, r metres, 
is given by 
r = 4sin(2t)i + 4cos(2t)j 
Find the velocity of the particle, in m s–1, when t = 0 
Circle your answer. 
[1 mark] 
8i –8j 8j 8i – 8j 
2 As a particle moves along a straight horizontal line, it is s...
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- • 16 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-3D-FURTHER MATHEMATICS QUESTION PAPER 3D;Discrete-A LEVEL-7Jun24-PM. 
 
2 
Do not write 
outside the 
box 
(02) G/Jun24/7367/3D 
Answer all questions in the spaces provided. 
1 Which one of the following sets forms a group under the given binary operation? 
Tick () one box. 
[1 mark] 
Set Binary Operation 
{1, 2, 3} Addition modulo 4 
{1, 2, 3} Multiplication modulo 4 
{0, 1, 2, 3} Addition modulo 4 
{0, 1, 2, 3} Multiplication modulo 4 
2 A student is trying to find the solution t...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-2-FURTHER MATHEMATICS QUESTION PAPER 2-A LEVEL-3Jun24-PM. 
 
Answer all questions in the spaces provided. 
1 It is given that 
2 
1 
3 
5 
λ 
–6 
= 0 
where λ is a constant. 
Find the value of λ 
Circle your answer. 
[1 mark] 
–28 –8 8 28 
2 The movement of a particle is described by the simple harmonic equation 
x 
.. 
= –25x 
where x metres is the displacement of the particle at time t seconds, and x 
.. 
 m s–2 is 
the acceleration of the particle. 
The maximum displa...
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- • 36 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7367-1-FURTHER MATHEMATICS QUESTION PAPER 1-A LEVEL-22May24-PM. 
 
Answer all questions in the spaces provided. 
1 The roots of the equation 20x 
3 – 16x 
2 – 4x + 7 = 0 are α, β and γ 
Find the value of αβ + βγ + γα 
Circle your answer. 
[1 mark] 
– 
4 
5 
 – 
1 
5 
 
1 
5 
 
4 
5 
2 The complex number z = e 
iπ 
3 
Which one of the following is a real number? 
Circle your answer. 
[1 mark] 
z 
4 z 
5 z 
6 z 
7 
000002 
Page 2 of 32 
FURTHER MATHEMATICS 
3 
Do not write ...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7367-1,2,3D,3M & 3S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2,3D,3M & 3S ALL COMBINED WITH MARK SCHEMES-A LEVEL-22May24-PM• By revisionmaster111
AQA-7366-2S-FURTHER MATHEMATICS QUESTION PAPER 2S:Statistics-AS LEVEL-17May24-PM. 
 
2 
Do not write 
outside the 
box 
(02) G/Jun24/7366/2S 
Answer all questions in the spaces provided. 
 1 The discrete random variable X has probability distribution function 
P(X = x) = 
0.45 x = 1 
0.25 x = 2 
0.25 x = 3 
0.05 x = 4 
0 otherwise { 
State the mode of X 
Circle your answer. 
[1 mark] 
0.25 0.45 1 2.5 
 2 A test for association is to be carried out. 
The tables below show the observed frequenc...
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- • 16 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7366-2M-FURTHER MATHEMATICS QUESTION PAPER 2M:Mechanics-AS LEVEL-17May24-PM. 
 
Answer all questions in the spaces provided. 
1 An elastic string has modulus of elasticity 20 newtons and natural length 2 metres. 
The string is stretched so that its extension is 0.5 metres. 
Find the elastic potential energy stored in the string. 
Circle your answer. 
[1 mark] 
1.25 J 5.5 J 5 J 10 J 
2 State the dimensions of impulse. 
Circle your answer. 
[1 mark] 
MLT –2 
 MLT –1 
 MLT MLT 2 
000002 
P...
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- • 16 pages's •
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7366-2D-FURTHER MATHEMATICS QUESTION PAPER 2D;Discrete-AS LEVEL-17May24-PM. 
 
Answer all questions in the spaces provided. 
1 A connected planar graph has v vertices, e edges and f faces. 
 Which one of the formulae below is correct? 
 Circle your answer. 
[1 mark] 
v + e + f = 2 v – e + f = 2 v – e – f = 2 v + e – f = 2 
2 Find an expression for the number of edges in the complete bipartite graph, Km, n 
 Circle your answer. 
[1 mark] 
m 
n 
 m – n m + n mn 
000002 
Page 2 of 16 ...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
AQA-7366-1-FURTHER MATHEMATICS QUESTION PAPER 1-AS LEVEL-13May24-PM. 
 
2 
Do not write 
outside the 
box 
(02) G/Jun24/7366/1 
Answer all questions in the spaces provided. 
1 Express cosh2 
x in terms of sinh x 
Circle your answer. 
[1 mark] 
1 + sinh2 
x 1 – sinh2 
x sinh2 
x – 1 –1 – sinh2 
x 
2 The function f is defined by 
f(x) = 2x + 3 0 ≤ x ≤ 5 
The region R is enclosed by y = f(x), x = 5, the x-axis and the y-axis. 
The region R is rotated through 2π radians about the x-ax...
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AQA FURTHER MATHEMATICS•AQA FURTHER MATHEMATICS
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AQA-7366-1,2D,2M&2S-FURTHER MATHEMATICS QUESTION PAPERS AND MARK SCHEMES PAPERS 1,2D,2M&2S ALL COMBINED WITH MARK SCHEMES-AS LEVEL-13May24-PM• By revisionmaster111
This is AQA A level further Mathematics paper 1 (7366/1) 2023/2024
- Exam (elaborations)
- • 24 pages's •
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AQA Further Mathematics•AQA Further Mathematics