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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-DM-FL-G011 markL1 FoundationNon-calculatorCuts
Arcs SA5SA5, SB4SB4, AB2AB2, AT3AT3, BT6BT6. Find the capacity of the cut {S}∣{A,B,T}\{S\}\mid\{A,B,T\}.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-Q011 markL1 FoundationNon-calculatorCuts
If you find a flow of value 12 and a cut of capacity 12, then
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-X011 markL1 FoundationNon-calculatorCuts
Arcs SA6SA6, SB5SB5, AB3AB3, AT4AT4, BT7BT7. Find the capacity of the cut {S}∣{A,B,T}\{S\}\mid\{A,B,T\}.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-X051 markL1 FoundationNon-calculatorExtensions
Two sources supply 1010 and 1515 units. A supersource is joined to each. What capacity should the arc to the second source have?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-X061 markL1 FoundationNon-calculatorAugmenting
A flow-augmenting path has spare capacities 44, 22 and 77 on its arcs. By how much can the flow be increased along it?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0012 marksL2 StandardNon-calculatorCuts
Find the capacity of the cut {S,B}∣{A,T}\{S,B\}\mid\{A,T\}.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0022 marksL2 StandardNon-calculatorAugmenting
Find the maximum flow from SS to TT.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0031 markL2 StandardNon-calculatorAugmenting
A flow sends 33 along arc ATAT (capacity 33) and 22 along ABAB (capacity 22). By conservation, what is the flow in SASA?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-X021 markL2 StandardNon-calculatorCuts
For the same network, find the capacity of the cut {S,A}∣{B,T}\{S,A\}\mid\{B,T\}.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-X032 marksL2 StandardNon-calculatorAugmenting
Find the maximum flow for the same network.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-X042 marksL2 StandardNon-calculatorCuts
For the same network, find the capacity of the cut {S,B}∣{A,T}\{S,B\}\mid\{A,T\}.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-FL-0042 marksL3 ExamNon-calculatorExtensions
Vertex BB can handle at most 55 units. Find the new maximum flow.

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Salam Academy Original Practice · Proposed mark scheme