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Network Concepts

MS-N2 is worth about 6 marks out of 100 in recent HSC Mathematics Standard 2 papers. Practise 7 exam-style questions (multi-part, multiple choice) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

Which statement about a spanning tree of a connected network with vertices is true?

  1. AIt always has the largest total weight
  2. BIt has edges and contains one cycle
  3. CIt connects all vertices and has edges
  4. DIt connects only some of the vertices

Example 2 · 1 mark · multiple choice

In a network, vertex V has edges to vertices W, X and Y, and a loop from V back to itself. What is the degree of V?

  1. A5
  2. B4
  3. C3
  4. D1

Example 3 · 5 marks · multi-part

A network of walking tracks joins six campsites A to F. The table lists every track and its length in kilometres.

EdgeA–BA–CB–CB–DC–DC–ED–ED–FE–F
Weight742586349

Answers and worked solutions appear when you practise these questions.

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