IGCSE Mathematics: Complete Topic-Wise Breakdown with Practice Questions

Are you preparing for Cambridge IGCSE Mathematics (0580 or 0980)? Whether you're following the Core or Extended syllabus, having a clear topic-wise roadmap with relevant practice questions can greatly boost your confidence and exam performance. This guide offers a complete topic-wise breakdown with sample questions to help you study smart and score high.

🔍 Overview of IGCSE Mathematics Syllabus

The Cambridge IGCSE Mathematics syllabus is designed to develop:

  • Mathematical reasoning

  • Problem-solving skills

  • Confidence in using mathematics in real-life contexts

There are two levels:

  • Core Level (Grades C to G)

  • Extended Level (Grades A* to E)

📚 Topic-Wise Breakdown of IGCSE Maths Syllabus

Let’s dive into the main topics covered in the IGCSE Maths syllabus (Paper 1, 2, 3, and 4 depending on your level):

1. Number

✅ Core + Extended

Subtopics:

  • Place value, rounding

  • Fractions, decimals, percentages

  • Ratio and proportion

  • Standard form

  • Estimation

Sample Question:

Simplify: 34+23\frac{3}{4} + \frac{2}{3}

2. Algebra

✅ Core + Extended

Subtopics:

  • Algebraic expressions and simplification

  • Expanding and factorising

  • Solving linear and quadratic equations

  • Inequalities

  • Algebraic fractions

  • Sequences

  • Graphs of functions (linear, quadratic, exponential)

Sample Question:

Solve the equation: 3x−7=2x+53x - 7 = 2x + 5

3. Geometry and Measure

✅ Core + Extended

Subtopics:

  • Angles, triangles, and polygons

  • Circle theorems (Extended)

  • Bearings and scale drawings

  • Symmetry and transformations

  • Perimeter, area, and volume

  • Similarity and congruence

  • Trigonometry (SOHCAHTOA)

Sample Question:

Find the area of a triangle with base 6 cm and height 4 cm.

4. Statistics

✅ Core + Extended

Subtopics:

  • Collecting and representing data (bar charts, pie charts, histograms)

  • Mean, median, mode, and range

  • Cumulative frequency and box plots

  • Probability (including Venn diagrams and tree diagrams)

Sample Question:

A die is rolled once. What is the probability of getting a number less than 4?

5. Vectors and Transformations

✅ Mostly Extended

Subtopics:

  • Vector notation and operations

  • Vector geometry

  • Translations, rotations, reflections, and enlargements

  • Combined transformations

Sample Question:

Represent the vector from A(2, 3) to B(5, 7) in column form.

6. Mensuration

✅ Core + Extended

Subtopics:

  • Area and perimeter of 2D shapes

  • Surface area and volume of 3D shapes (cube, cuboid, sphere, cylinder, cone)

  • Units and conversions

Sample Question:

Find the volume of a cylinder with radius 3 cm and height 10 cm.

7. Functions

✅ Mostly Extended

Subtopics:

  • Function notation

  • Domain and range

  • Inverse and composite functions

  • Mapping diagrams

Sample Question:

If f(x)=2x+3f(x) = 2x + 3, find f−1(x)f^{-1}(x)

8. Sets and Logic

✅ Core + Extended

Subtopics:

  • Set notation

  • Venn diagrams

  • Logical statements and truth tables

Sample Question:

Draw a Venn diagram to represent the sets A = {2, 4, 6}, B = {4, 6, 8} and find A∩BA \cap B.

📝 Practice Makes Perfect: Where to Find Topic-Wise Questions?

Here are a few trusted resources to practice topic-wise questions:

🔗 xMathCop Topic Practice Worksheets

Organized by chapter with answer keys and explanations.

🔗 Cambridge IGCSE Maths Past Papers

Download free past papers for Paper 1–4.

🔗 Save My Exams - Topic Questions

Great for quick revision and practice.

📌 Study Tips to Master IGCSE Maths

  1. Understand Concepts First
    Don't just memorize formulas. Learn why and how they work.

  2. Use a Topic Tracker
    Tick off topics as you master them. It builds momentum.

  3. Practice Past Paper Questions
    Start with topic-wise and slowly move to full papers under timed conditions.

  4. Use Online Video Solutions
    Visual learning helps—watch solutions on YouTube or platforms like xMathCop’s channel.

  5. Revise Weak Areas Weekly
    Target your weak spots with focused practice.

🎯 Final Thoughts

If you’re aiming for an A in IGCSE Maths 2026*, knowing the syllabus topic by topic is your secret weapon. With consistent practice and smart strategy, you can overcome any math anxiety and face the exam with confidence.

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