AQA Further Mathematics Paper 3d 2025 Question Paper Pdf

Download the official AQA A-Level Further Mathematics Paper 3 (Discrete) question paper for June 2025 (7367/3D), sat on **Friday 13 June 2025 (afternoon)**. This paper is worth **50 marks over 2 hours** and focuses on discrete mathematics topics.

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## **Paper Overview (page 1)**
- **Duration:** 2 hours
- **Total marks:** 50
- **All questions compulsory**
- Requires:
- AQA formula booklet
- Scientific/graphical calculator

👉 As stated on **page 1**, candidates must *“show all necessary working; otherwise marks for method may be lost.”*

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## **Key Topics Covered**

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### **Group Theory & Algebra**
- Order of subgroups (Q1, page 2)
- Cayley tables in abelian groups (Q3, page 4)
- Binary operations & identity/inverses (Q10, pages 18–19)

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### **Linear Programming & Simplex**
- Simplex tableau interpretation (Q2, page 3)
- Graphical LP problems (Q7, pages 10–11)
- Integer constraints & feasible regions

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### **Graph Theory & Networks**
- Minimum spanning tree (Q4a, page 5)
- Effect of constraints on MST (Q4b, page 5)
- Planar graphs & Euler’s formula (Q8, page 12)

👉 The **distance table on page 5** shows connections between districts used to compute the MST.

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### **Critical Path Analysis**
- Earliest start & latest finish times (Q5a, page 6)
- Float calculation (Q5a(ii))
- Gantt/cascade diagrams (Q5b, page 7)

👉 The **activity network diagram on page 6** includes durations and dependencies for 10 activities.

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### **Network Flows**
- Supersource and supersink (Q6a, page 8)
- Cut values (Q6b)
- Maximum flow justification (Q6c)

👉 The **network diagram on page 8** shows lower and upper capacities on each arc.

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### **Game Theory**
- Dominant strategy elimination (Q9a(i), page 14)
- Mixed strategies (Q9a(ii))
- Linear programming formulation for games (Q9b, page 16)

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### **Advanced Graph Theory**
- Eulerian and semi-Eulerian graphs (Q8b–c, pages 12–13)
- Bipartite graphs vs Eulerian properties

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## **Question Structure**

- **Q1–Q3:** Multiple choice (1 mark each)
- **Q4–Q7:** Mid-level (2–5 marks)
- **Q8–Q10:** Extended reasoning (6–10 marks total)

Example:
- Q5: 6 marks (critical path + Gantt chart)
- Q9: 9 marks (game theory)
- Q10: 5 marks (group theory proof)

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## **Skills Assessed**

- Logical reasoning in discrete systems
- Graph theory & optimisation techniques
- Mathematical modelling
- Problem-solving using algorithms
- Clear justification and structured working

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## **Why This Paper Matters**
- Covers the **Discrete option module**
- Essential for **Further Maths Paper 3**
- Builds skills for **computer science, operations research, and optimisation**
- Key for achieving **A/A***

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Fully updated for the 2025/2026 academic year and optimised for instant download on markscheme.net.

This paper is designed for Year 13 students studying AQA A-Level Further Mathematics, particularly those taking the Discrete option.

It is ideal for exam practice, revision, and mastering discrete mathematics concepts required for top grades.