plumiThe simplex algorithm: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 4.3 The simplex algorithm, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 15 questions on The simplex algorithm, as a list
- June 2025, Decision 1, Q5 (12 marks): Consider the following linear programming problem in x, y and z. Maximise P x y z 3 4 2 subject to 2 2 2 21 x y z + + 2 18 x y z − − 3 2 1 x y z x 4 y 1 z
- June 2025, Decision 1, Q7 (12 marks): Figure 5 Figure 5 shows the constraints of a linear programming problem in x and y, where R is the feasible region. The objective is to maximise P x ky 11 , whe
- June 2024, Decision 1, Q5 (9 marks): Two friends, Anaira and Tommi, play a game involving two positive numbers x and y Anaira gives Tommi the following clues to see if he can correctly determine th
- June 2024, Decision 1, Q7 (14 marks): A maximisation linear programming problem in x, y and z is to be solved using the Simplex method. The tableau after the 1st iteration is shown below. b.v. x y z
- June 2024, Decision 2, Q7 (13 marks): Player B Option X Option Y Option Z Option R 3 2 –3 Player A Option S 4 –2 1 Option T –1 3 6 A two person zero‑sum game is represented by the pay‑off matrix for
- June 2023, Decision 1, Q7 (19 marks): A publisher plans to produce three versions of the same book: a paperback, a hardcover, and a deluxe edition. • Each paperback takes 4 minutes to print and 1 mi
- June 2023, Decision 2, Q8 (17 marks): A two-person zero-sum game is represented by the pay-off matrix for player A shown below. Player A Player B Option X Option Q Option R Option S Option T −3 2 4
- June 2022, Decision 1, Q4 (6 marks): A linear programming problem in x, y and z is to be solved using the big‑M method. The initial tableau is shown below. b.v. x y z s1 s2 s3 a1 a2 Value s1 2 3 4
- June 2022, Decision 1, Q7 (15 marks): y y = 2x + 1 x + y = 8 7x + 2y = 46 x + 2y = 12 x R O Figure 5 Figure 5 shows the constraints of a linear programming problem in x and y where R is the feasible
- June 2022, Decision 2, Q7 (17 marks): Player B Option W Option X Option Y Option Z Player A Option Q 4 3 –1 –2 Option R –3 5 –4 k Option S –1 6 3 –3 A two person zero‑sum game is represented by the
- November 2021, Decision 1, Q8 (18 marks): Susie is preparing for a triathlon event that is taking place next month. A triathlon involves three activities: swimming, cycling and running. Susie decides th
- November 2020, Decision 1, Q7 (17 marks): A maximisation linear programming problem in x, y and z is to be solved using the two-stage simplex method. The partially completed initial tableau is shown bel
- November 2020, Decision 2, Q6 (14 marks): Player B Option X Option Y Option Z Player A Option Q 1 5 3 Option R 4 −3 1 Option S 2 −4 −2 Option T 3 −2 0 A two person zero-sum game is represented by the pa
- June 2019, Decision 1, Q6 (12 marks): A linear programming problem in x, y and z is described as follows. Maximise P = 2x + 2yíz subject to 3x + y + 2z - 30 xíy + z . 8 4y + 2z . 15 x, y, z . 0
- June 2019, Decision 2, Q4 (14 marks): Player B Option X Option Y Option Z Option P 3 –2 0 Player A Option Q –4 4 –2 Option R 1 2 –1 A two person zero-sum game is represented by the pay-off matrix fo
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