Chapter 11: Decision Mathematics 2: Flows in Networks

A-level Further MathsDecision Mathematics 1 & 24 topicsHigher

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alevel · further-maths · Decision Mathematics 1 & 2 · All papers

Releases 1 August 2026

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Decision Mathematics 2: Flows in Networks: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

D11-1 Find the required result for Decision Mathematics 2: Flows in Networks. Given Capacities are SA 10, SB 8, AB 3, AT 6, BT 10, A C 4, C T 7. Use augment feasible flows and apply max-flow min-cut reasoning. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

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8 marksshow thathardEdexcel

D11-2 Show that one cut has capacity 18 for Decision Mathematics 2: Flows in Networks. Start from Capacities are SA 10, SB 8, AB 3, AT 6, BT 10, A C 4, C T 7. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

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8 marksdeterminehardEdexcel

D11-3 Determine the requested value in this structured Decision Mathematics 2: Flows in Networks problem: find the maximum flow from S to T. Use the same data: Capacities are SA 10, SB 8, AB 3, AT 6, BT 10, A C 4, C T 7. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

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8 markshencesynopticEdexcel

D11-4 Hence use the result one cut has capacity 18 to complete the extension for Decision Mathematics 2: Flows in Networks: find the maximum flow from S to T. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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10. Decision Mathematics 2: Allocation Problems

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Key learning objectives

Understand the key principles behind Decision Mathematics 2: Flows in Networks.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.