AQA Further Mathematics Paper 2 2025 Question Paper Pdf

Download the official AQA A-Level Further Mathematics Paper 2 question paper for June 2025 (7367/2), sat on **Friday 6 June 2025 (afternoon)**. This paper is worth **100 marks over 2 hours** and assesses a wide range of pure and applied further mathematics topics.

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## **Paper Overview (page 1)**
- **Duration:** 2 hours
- **Total marks:** 100
- **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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### **Vectors & Geometry**
- Perpendicular vectors (Q1, page 2)
- Closest point on a line (Q11a, page 14)
- Equation of a plane (Q11b–c, page 15)

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### **Matrices & Transformations**
- Area scale factor using determinant (Q2, page 2)
- Null matrix equation AB = 0 (Q7, page 7)
- Rotation + enlargement transformations (Q13, page 18)

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### **Calculus & Functions**
- Differentiation of inverse trig expressions (Q3, page 3)
- Mean value of a function (Q4, page 3)
- Integration with logs (Q12, page 16)
- Improper integrals (Q15, page 22)

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### **Differential Equations & Numerical Methods**
- Euler’s method (Q6, page 5)
- Modelling cooling/freezing system (Q17, pages 26–28)

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### **Complex Numbers**
- Algebraic manipulation (Q5, page 4)
- Argand-based equations and roots (Q9, pages 10–11)

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### **Graph Transformations**
- Stretch parallel to x-axis (Q8a, page 8)
- Inequality regions using graphs (Q8b, page 9)

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### **Algebra & Rational Functions**
- Asymptotes and stationary points (Q10, pages 12–13)
- Range of functions without calculus

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### **Polar Coordinates & Modelling**
- Polar curves (Q14, page 20)
- Volume of a 3D shape using integration (Q14b, page 21)

👉 The **diagram on page 20** shows a paddling pool defined by
- \( r = 6 + 2\cos(2\theta) \)
- inner island: \( r = 2\cos\theta \)

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### **Integration & Area Problems**
- Area under curves (Q16, page 24)
- Requires exact form in terms of π

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## **Question Structure**

- **Q1–Q4:** 1-mark quick questions
- **Q5–Q9:** Short to mid (2–4 marks)
- **Q10–Q17:** Extended problems (4–7+ marks each)

Example:
- Q11: 12 marks total (vectors + planes)
- Q14: 8 marks (polar + volume)
- Q17: 15 marks (differential equation modelling)

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## **Skills Assessed**

- Algebraic fluency
- Advanced calculus & integration
- Mathematical modelling
- Logical reasoning & proof
- Multi-step problem solving

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## **Why This Paper Matters**
- Core **Further Maths Paper 2** exam
- Tests **advanced problem-solving across topics**
- Essential for achieving **top grades (A/A*)**
- Builds skills for **university-level mathematics**

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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.

It is ideal for full exam practice, mock exams, and mastering advanced problem-solving skills required for top grades and university preparation.