ACTUAL 2025 AQA A-LEVEL FURTHER MATHEMATICS Paper 3 Discrete Question Paper &
Mark Scheme (Merged) Friday 13 June 2025 [VERIFIED]
, 2
Do not write
outside the
Answer all questions in the spaces provided. bo
x
1 The group A is of order 9
The group B is a proper, non-trivial subgroup of A
Find the order of B
Circle your answer.
[1 mark]
1 3 9 18
G/Jun25/7367/3D
, 3
Do not write
outside the
2 The simplex algorithm is used to solve a linear programming problem, which results in the box
following correct simplex tableau.
P x y r s value
2 5
1 0 0 25
3 3
0
5
0 –1 1 7
3 3
1 1
0 1 0 5
3 3
Which one of the following gives the correct optimal values of P, x and y?
Tick ( ) one box.
[1 mark]
2
P = 1, x = , y = 0
3
5
P = 1, x = , y = 1
3
P = 25, x = 0, y = 5
P = 25, x = 7, y = 5
Turn over for the next question
G/Jun25/7367/3D
, 4
Do not write
Turn over U outside the
G/Jun25/7367/3D
Mark Scheme (Merged) Friday 13 June 2025 [VERIFIED]
, 2
Do not write
outside the
Answer all questions in the spaces provided. bo
x
1 The group A is of order 9
The group B is a proper, non-trivial subgroup of A
Find the order of B
Circle your answer.
[1 mark]
1 3 9 18
G/Jun25/7367/3D
, 3
Do not write
outside the
2 The simplex algorithm is used to solve a linear programming problem, which results in the box
following correct simplex tableau.
P x y r s value
2 5
1 0 0 25
3 3
0
5
0 –1 1 7
3 3
1 1
0 1 0 5
3 3
Which one of the following gives the correct optimal values of P, x and y?
Tick ( ) one box.
[1 mark]
2
P = 1, x = , y = 0
3
5
P = 1, x = , y = 1
3
P = 25, x = 0, y = 5
P = 25, x = 7, y = 5
Turn over for the next question
G/Jun25/7367/3D
, 4
Do not write
Turn over U outside the
G/Jun25/7367/3D
