A Level Further Maths

A Level Further Maths Graphs and Networks Exam Questions

Free A Level Further Maths exam questions on Graphs and Networks, with full model answers. Covers eulerian/Hamiltonian (terminology), MST Kruskal/Prim, TSP (nearest neighbour, upper and lower bounds).

Graphs and Networks exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Further Maths Graphs and Networks

Graphs and Networks is part of Decision Maths in A Level Further Maths. These questions suit Edexcel International, AQA, Edexcel, OCR A, OCR B (MEI) and CCEA A Level Further Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • Graph theory Planar, Eulerian and Hamiltonian graphs.
  • Route inspection Pair odd vertices.
  • Travelling salesperson Upper and lower bounds.

Common mistakes in Graphs and Networks

  • Pairing wrong odd vertices.
  • Mixing Euler and Hamilton.

Try two Graphs and Networks exam-style questions

1. When is a graph Eulerian? (1 mark)

Show the mark scheme answer

All vertices have even degree

2. How is a lower bound found? (1 mark)

Show the mark scheme answer

Delete a vertex, find an MST, add the two shortest edges back

Graphs and Networks FAQs

Which exam boards include Graphs and Networks?

These questions suit Edexcel International, AQA, Edexcel, OCR A, OCR B (MEI) and CCEA A Level Further Maths.

Is Graphs and Networks pure, mechanics or statistics?

Graphs and Networks is part of Decision Maths.

How should I use these Graphs and Networks questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.