plumiFormulating linear programmes: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 4.1 Formulating linear programmes, 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 14 questions on Formulating linear programmes, as a list
- June 2025, Discrete Mathematics, Q6 (13 marks): A furniture company makes three types of wardrobes. Each Type A wardrobe requires 4 hours of machine time, 6 hours of craftsman time and 2 hours of finishing ti
- June 2025, AS Discrete Mathematics, Q7 (14 marks): A shop sells three different arrangements of flowers, X, Y and Z. The number of roses, lilies and carnations in each arrangement are shown in the table below. T
- June 2024, Discrete Mathematics, Q6 (16 marks): Sasha is making three identical bead bracelets using amber, brown and red coloured beads. Sasha has 20 amber beads, 12 brown beads and 10 red beads. Each bracel
- June 2024, AS Discrete Mathematics, Q5 (10 marks): A garden centre sells mixed packs of flower bulbs. Each pack contains bulbs which produce flowers of two different colours. The cost, in £, of a pack of each co
- June 2024, AS Discrete Mathematics, Q6 (9 marks): Beth wants to buy some tokens for use in a game. Each token is either a silver token or a gold token. Silver tokens and gold tokens have different points values
- 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 2022, AS Discrete Mathematics, Q5 (13 marks): A baker makes three types of jam‑and‑custard doughnuts. • Each batch of type X uses 6 units of jam and 4 units of custard. • Each batch of type Y uses 7 units o
- 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, Discrete Mathematics, Q6 (11 marks): An initial simplex tableau is shown below. P x y s t u RHS 1 2 0 0 0 0 -5 0 2 1 1 0 0 25.8 0 3 0 1 0 13.8 -1 0 4 0 0 1 18.8 -3 The variables s, t and u are slac
- November 2020, AS Discrete Mathematics, Q6 (15 marks): Tamsin is planning how to spend a day off. She will divide her time between walking the coast path, visiting a bird sanctuary and visiting the garden centre. Ta
- June 2019, Discrete Mathematics, Q3 (9 marks): A problem is represented as the initial simplex tableau below. P x y z s t RHS 1 -2 0 1 0 0 0 0 1 1 1 1 0 60 0 2 3 4 0 1 60 (a) Write the problem as a linear pr
- June 2019, Discrete Mathematics, Q7 (12 marks): Sam is making pies. There is exactly enough pastry to make 7 large pies or 20 medium pies or 36 small pies, or some mixture of large, medium and small pies. Thi
- June 2019, AS Discrete Mathematics, Q5 (12 marks): Corey is training for a race that starts in 18 hours time. He splits his training between gym work, running and swimming. • At most 8 hours can be spent on gym
- June 2018, AS Discrete Mathematics, Q5 (16 marks): Greetings cards are sold in luxury, standard and economy packs. The table shows the cost of each pack and number of cards of each kind in the pack. Pack Cost Ha
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