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.
START PRACTISINGExample questions
Example 1 · 1 mark · multiple choice
Which statement about a spanning tree of a connected network with vertices is true?
- AIt always has the largest total weight
- BIt has edges and contains one cycle
- CIt connects all vertices and has edges
- 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?
- A5
- B4
- C3
- 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.
| Edge | A–B | A–C | B–C | B–D | C–D | C–E | D–E | D–F | E–F |
|---|---|---|---|---|---|---|---|---|---|
| Weight | 7 | 4 | 2 | 5 | 8 | 6 | 3 | 4 | 9 |
Answers and worked solutions appear when you practise these questions.
Other Mathematics Standard 2 topics
- MS-M1Applications of Measurement
- MS-M2Working with Time
- MS-M6Non-right-angled Trigonometry
- MS-M7Rates and Ratios
- MS-F1Money Matters
- MS-F4Investments and Loans
- MS-F5Annuities
- MS-S1Data Analysis
- MS-S2Relative Frequency and Probability
- MS-S4Bivariate Data Analysis
- MS-S5The Normal Distribution
- MS-A1Formulae and Equations
- MS-A2Linear Relationships
- MS-A4Types of Relationships
- MS-N3Critical Path Analysis