Graph theory: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 2.1 Graph theory, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 5 questions on Graph theory, as a list
- June 2025, AS Modelling with Algorithms, Q4 (8 marks): (a) Determine the number of nodes in the complete graph with 1431 arcs. [2] (b) In this question you must show detailed reasoning. A simply connected graph G ha
- June 2024, AS Modelling with Algorithms, Q1 (5 marks): Fig. 1 shows a graph. Fig. 1 A B E C D (a) (i) State the order of node B. [1] (ii) State the order of node D. [1] (b) Complete the incidence matrix for the grap
- June 2022, AS Modelling with Algorithms, Q1 (4 marks): (a) (i) State the number of arcs in the complete graph with 6 nodes. [1] (ii) State the minimum number of arcs in a simply connected graph with 6 nodes. [1] (b)
- November 2021, Modelling with Algorithms, Q3 (13 marks): A vertex of a graph for which the order is an odd number is called an odd vertex. (a) (i) By considering the number of arc endings for a general graph, explain
- November 2020, AS Modelling with Algorithms, Q4 (7 marks): (a) Draw an example of a simply connected graph with five nodes of orders 1, 1, 2, 2 and 4. [1] (b) A simply connected graph G has seven nodes. (i) Write down t
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