Salam Academy
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-MS-G011 markL1 FoundationNon-calculatorKruskal
How many edges are in a spanning tree of a network with 88 vertices?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-Q011 markL1 FoundationNon-calculatorKruskal
Kruskal's algorithm rejects an edge when it
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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-X011 markL1 FoundationNon-calculatorKruskal
Network: AB=4AB=4, AC=3AC=3, BC=2BC=2, BD=5BD=5, CD=6CD=6, CE=7CE=7, DE=3DE=3. What is the weight of the first edge chosen by Kruskal's algorithm?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-X031 markL1 FoundationNon-calculatorPrim
Network: AB=4AB=4, AC=3AC=3, BC=2BC=2, BD=5BD=5, CD=6CD=6, CE=7CE=7, DE=3DE=3. Using Prim's algorithm starting at EE, what is the weight of the first edge chosen?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-X061 markL1 FoundationNon-calculatorPrim
When using Prim's algorithm on a distance matrix, after adding a vertex you
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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-0013 marksL2 StandardNon-calculatorKruskal
Network edges: AB4AB4, AC3AC3, BC2BC2, BD5BD5, CD6CD6, CE7CE7, DE3DE3. Find the weight of the minimum spanning tree.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-0021 markL2 StandardNon-calculatorPrim
Using Prim's algorithm from AA on the same network, what is the weight of the first edge chosen?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-0031 markL2 StandardNon-calculatorPrim
Using Prim from AA, what is the weight of the third edge added?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-X021 markL2 StandardNon-calculatorKruskal
Network: AB=4AB=4, AC=3AC=3, BC=2BC=2, BD=5BD=5, CD=6CD=6, CE=7CE=7, DE=3DE=3. How many edges does Kruskal's algorithm reject before the tree is complete?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-X041 markL2 StandardNon-calculatorPrim
Network: AB=4AB=4, AC=3AC=3, BC=2BC=2, BD=5BD=5, CD=6CD=6, CE=7CE=7, DE=3DE=3. Using Prim from EE, what is the weight of the second edge chosen?

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-0042 marksL3 ExamNon-calculatorKruskal
In the same network, the weight of CDCD is reduced. Find the largest weight CDCD could have and still be part of some minimum spanning tree.

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Salam Academy Original Practice · Proposed mark scheme
SA-DM-MS-X052 marksL3 ExamNon-calculatorKruskal
Network: AB=4AB=4, AC=3AC=3, BC=2BC=2, BD=5BD=5, CD=6CD=6, CE=7CE=7, DE=3DE=3. If BDBD is changed to 88, find the weight of the new minimum spanning tree.

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Salam Academy Original Practice · Proposed mark scheme