plumiFlows, game theory and dynamic programming: OCR A‑Level Further Maths questions
Every OCR A-Level Further Maths exam question on D.6 Flows, game theory and dynamic programming, 2018–2025, with its mark scheme and examiner’s report.
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All 15 questions on Flows, game theory and dynamic programming, as a list
- June 2025, Discrete Mathematics, Q5 (17 marks): The table below shows the pay-off for Player A in a two-person zero-sum game between Player A and Player B. Each player has three options; P, Q and R represent
- June 2025, AS Discrete Mathematics, Q4 (11 marks): Ryan and Casey play a game. They can each choose to play one of three options. Ryan can play options A, B and C and Casey can play options X, Y and Z. The score
- June 2024, Discrete Mathematics, Q3 (9 marks): Amir and Beth play a zero‑sum game. The table shows the pay‑off for Amir for each combination of strategies, where these values are known. Beth X Y Z Amir P 2 c
- June 2024, AS Discrete Mathematics, Q2 (5 marks): In a game two players are each dealt five cards from a set of ten different cards. Player 1 is dealt cards A, B, F, G and J. Player 2 is dealt cards C, D, E, H
- June 2023, Discrete Mathematics, Q7 (12 marks): Player 1 and player 2 are playing a two-person zero-sum game. In each round of the game the players each choose a strategy and simultaneously reveal their choic
- June 2023, AS Discrete Mathematics, Q6 (6 marks): Ryan and Casey are playing a card game in which they each have four cards. • Ryan’s cards have the letters A, B, C and D. • Casey’s cards have the letters W, X,
- June 2022, Discrete Mathematics, Q5 (12 marks): In each turn of a game between two players they simultaneously each choose a strategy and then calculate the points won using the table below. They are each try
- June 2022, AS Discrete Mathematics, Q4 (10 marks): Kareem and Sam play a game in which each holds a hand of three cards. • Kareem’s cards are numbered 1, 2 and 5. • Sam’s cards are numbered 3, 4 and 6. In each r
- November 2021, Discrete Mathematics, Q5 (12 marks): Alex and Beth play a zero-sum game. Alex chooses a strategy P, Q or R and Beth chooses a strategy X, Y or Z. The table shows the number of points won by Alex fo
- November 2021, AS Discrete Mathematics, Q4 (7 marks): Li and Mia play a game in which they simultaneously play one of the strategies X, Y and Z. The tables show the points won by each player for each combination of
- November 2020, Discrete Mathematics, Q2 (14 marks): Annie and Brett play a two-person, simultaneous play game. The table shows the pay-offs for Annie and Brett in the form (a, b). So, for example, if Annie plays
- November 2020, AS Discrete Mathematics, Q5 (9 marks): The number of points won by player 1 in a zero-sum game is shown in the pay-off matrix below, where k is a constant. Player 2 Strategy E Strategy F Strategy G S
- June 2019, Discrete Mathematics, Q6 (13 marks): The pay-off matrix for a game between two players, Sumi and Vlad, is shown below. If Sumi plays A and Vlad plays X then Sumi gets x points and Vlad gets 1 point
- June 2019, AS Discrete Mathematics, Q6 (12 marks): Drew and Emma play a game in which they each choose a strategy and then use the tables below to determine the pay‑off that each receives. Drew’s pay‑off Emma Em
- June 2018, AS Discrete Mathematics, Q3 (6 marks): In the pay-off matrix below, the entry in each cell is of the form (r, c), where r is the pay-off for the player on rows and c is the pay-off for the player on
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