plumiLinear programming: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on D1.5 Linear programming, 2019–2025, with its mark scheme and examiner’s report.
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All 22 questions on Linear programming, as a list
- June 2025, AS Decision 1 (D1), Q5 (12 marks): A gardener wants to plant some rose bushes. She will use three different colours, red, yellow and white. The gardener decides to use linear programming to deter
- June 2025, AS Decision 1 (D1), Q8 (10 marks): 0 0 10 20 30 10 20 30 y x R y = 2x + 5 x + 5y = 150 5y = 3x – 15 3x + 2y = 48 2x + y = 70 A B C D E Figure 4 The feasible region, R, of a linear programming pro
- January 2025, AS Decision 1 (D1), Q5 (7 marks): A manufacturer makes three flavours of ice cream, vanilla, strawberry and chocolate. All flavours are supplied in the same size tubs. The profit from selling ea
- January 2025, AS Decision 1 (D1), Q8 (8 marks): O objective line R y = 3x + 4 4x + y = 64 2x + 5y = 100 x + 2y = 24 y x Figure 4 Figure 4 shows the constraints of a linear programming problem in x and y The u
- June 2024, AS Decision 1 (D1), Q5 (10 marks): The head of a Mathematics department needs to order three types of paper. The three types of paper are plain, lined and graph. All three types of paper are sold
- June 2024, AS Decision 1 (D1), Q7 (9 marks): O x y A B C D R 2x + y = 15 2x + y = 27 –2x + 5y = 15 Figure 4 Figure 4 shows the constraints of a linear programming problem in x and y, where R is the feasibl
- January 2024, AS Decision 1 (D1), Q5 (5 marks): A 4 objective line D R B C x y 4.5 Figure 3 Figure 3 shows the constraints of a linear programming problem in x and y. The unshaded area, including its boundari
- January 2024, AS Decision 1 (D1), Q7 (17 marks): A farmer has 100 acres of land available that can be used for planting three crops: A, B and C. It takes 2 hours to plant each acre of crop A, 1.5 hours to plan
- June 2023, AS Decision 1 (D1), Q4 (11 marks): y 12 10 8 6 4 2 0 14 12 10 8 6 4 2 0 R x y = 2x 3x + y = 30 Figure 2 Figure 2 shows the constraints of a linear programming problem in x and y, where R is the f
- June 2023, AS Decision 1 (D1), Q8 (10 marks): A headteacher is deciding how to allocate prizes to the students who are leaving at the end of the school year. There are three categories of prize: academic, s
- January 2023, AS Decision 1 (D1), Q6 (17 marks):
- June 2022, AS Decision 1 (D1), Q4 (7 marks): A linear programming problem in x, y and z is described as follows. Maximise P = –x + y subject to x + 2y + z 15 3x – 4y + 2z 1 2x + y + z = 14 x 0, y 0
- June 2022, AS Decision 1 (D1), Q7 (10 marks): O R A B y x C –x + 5y = 10 4x + 8y = 65 Figure 5 Figure 5 shows the constraints of a linear programming problem in x and y, where R is the feasible region. The
- January 2022, AS Decision 1 (D1), Q7 (18 marks):
- October 2021, AS Decision 1 (D1), Q2 (6 marks): Chris has been asked to design a badge in the shape of a triangle XYZ subject to the following constraints. • Angle Y should be at least three times the size of
- October 2021, AS Decision 1 (D1), Q6 (13 marks): A linear programming problem in x and y is described as follows. Maximise P = kx + y, where k is a constant subject to: 3y x x + 2y 130 4x + y 100 4x + 3y
- January 2021, AS Decision 1 (D1), Q2 (5 marks): A restaurant sells two sizes of pizza, small and large. The restaurant owner knows that, each evening, she needs to make • at least 85 pizzas in total • at leas
- January 2021, AS Decision 1 (D1), Q7 (11 marks): y x 8 O 5y = x + k x + y = 8 R 4 Figure 3 Figure 3 shows the constraints of a linear programming problem in x and y, where R is the feasible region. The equatio
- October 2020, AS Decision 1 (D1), Q6 (7 marks): 7 6 5 4 3 2 1 0 y 4y = 7x + 8 4y = x + 8 3x + 4y = 24 R A B C 0 1 2 3 4 5 6 7 8 x Figure 2 The graph in Figure 2 is being used to solve a linear programming pro
- October 2020, AS Decision 1 (D1), Q8 (11 marks): A bakery makes three types of doughnut. These are ring, jam and custard. The bakery has the following constraints on the number of doughnuts it must make each d
- January 2020, AS Decision 1 (D1), Q7 (18 marks): A school is planning to run several training days next year for its new teachers, middle leaders and senior leaders. Next year, the school will need to run • at
- June 2019, AS Decision 1 (D1), Q5 (18 marks): A clothing shop sells a particular brand of shirt, which comes in three different sizes, small, medium and large. Each month the manager of the shop orders x sm
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