Edexcel IAL Further Pure 2 – Solution Bank

Ch. 1: Inequalities

Ch. 2: Series

Ch. 3: Complex Numbers

Ch. 4: Further Argand Diagrams

Ch. 5: First-order Differentiation Equations

Ch. 6: Second-order Differential Equations

Ch. 7: Malcaurin and Taylor Series

Ch. 8: Polar Coordinates

Review Exercises

📘 Edexcel IAL Further Pure 2 – Solution Bank (FP2)

Further Pure 2 (FP2) is one of the most advanced mathematics modules in the Edexcel International A-Level (IAL) curriculum. Designed for students targeting top grades and mathematical mastery, it covers higher-level topics like complex number geometry, differential equations, Maclaurin & Taylor series, and more.

At holenow.com, we provide you with a fully organized FP2 Solution Bank — covering every exercise in the official textbook. Each solution is broken down clearly and explained step-by-step, making even the hardest concepts understandable.

📚 FP2 Chapters – What You’ll Learn

This Solution Bank includes eight powerful chapters, full chapter reviews, and mixed-topic review exercises to prepare you for the WFM12 exam.

📏 Chapter 1: Inequalities

  • Master techniques for solving linear, quadratic, and rational inequalities.
  • Exercises: FP2 1A, 1B, 1C
  • Topics:
    • Inequality manipulation
    • Sketching inequalities
    • Inequalities with moduli and parameters
  • ✅ Chapter Review 1 included

🔁 Chapter 2: Series

  • Dive into advanced summation, sigma notation, and techniques beyond FP1.
  • Exercises: FP2 2A
  • Topics:
    • Proof by induction
    • Sums involving powers of n
  • ✅ Chapter Review 2

🧠 Chapter 3: Complex Numbers

  • Extend your knowledge from FP1 with advanced roots and identities.
  • Exercises: FP2 3A to 3E
  • Topics:
    • De Moivre’s Theorem
    • Roots of complex numbers
    • Using trig identities with complex numbers
  • ✅ Chapter Review 3

📐 Chapter 4: Further Argand Diagrams

  • Geometrical representations of complex numbers in the Argand plane.
  • Exercises: FP2 4A to 4E
  • Topics:
    • Loci in the Argand diagram
    • Transformations using modulus and argument
    • Triangle and circle problems
  • ✅ Chapter Review 4

📉 Chapter 5: First-Order Differential Equations

  • Learn how to separate variables and solve differentials from real-world contexts.
  • Exercises: FP2 5A to 5C
  • Topics:
    • Variables separable
    • Integrating factor method
    • Growth/decay models
  • ✅ Chapter Review 5

📈 Chapter 6: Second-Order Differential Equations

  • Model mechanical motion and advanced systems with higher-order calculus.
  • Exercises: FP2 6A to 6D
  • Topics:
    • Homogeneous and non-homogeneous forms
    • Complementary functions
    • Particular integrals
  • ✅ Chapter Review 6

📊 Chapter 7: Maclaurin and Taylor Series

  • Learn to approximate functions using infinite polynomials.
  • Exercises: FP2 7A to 7E
  • Topics:
    • Deriving Maclaurin and Taylor expansions
    • Using series to approximate sin, cos, eˣ, ln(x), etc.
  • ✅ Chapter Review 7

🧭 Chapter 8: Polar Coordinates

  • Understand curves and area in polar systems.
  • Exercises: FP2 8A to 8D
  • Topics:
    • r = f(θ) forms
    • Area under a curve in polar
    • Sketching polar graphs
  • ✅ Chapter Review 8

📘 Review Exercises

  • FP2 Review Exercise 1 – General problem solving
  • FP2 Review Exercise 2 – Exam-style questions across all topics
  • Ideal for mock exams, timed practice, or topic brushing

✅ Why Use holenow.com’s FP2 Solution Bank?

  • 💡 Designed from the official Edexcel FP2 textbook (WFM12)
  • ✍️ Complete step-by-step breakdowns with worked examples
  • 📱 Fully mobile-optimized – ideal for studying on the go
  • 🧑‍🏫 Great for students, teachers, and tutors
  • 🔍 Easy to search, clean interface, distraction-free
  • 🆓 100% free, no sign-in or ads

🎓 Who Is This For?

  • Students preparing for WFM12 – IAL Further Pure 2
  • A-Level maths students aiming for A/A*
  • Teachers, coaching centers, and home-educators
  • Anyone who wants to conquer FP2 concepts with confidence

💡 Pro Study Tip

When working with Maclaurin series, always:

  1. Identify how many terms are required
  2. Use standard expansions (e.g. for sin(x), cos(x), eˣ, ln(1+x))
  3. Factor common patterns and check convergence

This not only improves accuracy but speeds up revision dramatically.

❓ FP2 FAQs

Yes — every chapter, exercise, and review matches the official Further Pure 2 (WFM12) textbook.

Yes — especially in Argand diagrams and polar coordinate sections, we include necessary illustrations for deeper understanding.

Yes — holenow.com is built to serve students and educators alike. Use it freely!

🔗 Related Edexcel IAL Resources

🏁 Final Words

Edexcel IAL FP2 is a deep, elegant, and abstract math module. But with the right guidance, it becomes intuitive and even enjoyable. At holenow.com, our FP2 Solution Bank is designed to transform confusion into clarity — so you can focus on acing your exams.

🎯 Master Maclaurin.
📐 Visualize Argand.
🚀 Conquer FP2 — only on holenow.com.