IGCSE Math: The 10 Topics That Come Up Every Year (and How to Prepare)
If you’re revising for IGCSE Maths, the fastest way to improve is to focus on the topics that appear consistently and practise them in exam style (timed, mark-scheme thinking, clear working). While every paper changes, the same core skills get tested again and again: algebra fluency, number skills, graphs, geometry, and problem-solving.Here are 10 IGCSE Maths topics that come up every year (across Cambridge IGCSE 0580/0607 and Edexcel IGCSE), plus exactly what to practise so you don’t lose easy marks.
1) Algebra basics (simplifying, expanding, factorising)
This is the foundation of most higher-mark questions.What to practise:
- Expand and simplify expressions (including multiple brackets)
- Factorise common factors and simple quadratics (where relevant)
- Algebraic fractions (simplify, basic operations)
How to prepare:
- Do short daily drills (10–15 questions) until it’s automatic.
- Write one clean line per step to avoid sign mistakes.
2) Solving equations and inequalities
Almost guaranteed every year in some form.What to practise:
- Linear equations (including with fractions)
- Simultaneous equations (algebraic + sometimes graph)
- Quadratic equations (factorising / formula depending on syllabus)
- Inequalities + representing solutions on a number line
How to prepare:
- Practise “exam presentation”: clear steps = method marks.
- For inequalities, be confident with reversing signs when multiplying/dividing by negatives.
3) Ratio, proportion, and rates
Common because it tests real-life maths and reasoning.What to practise:
- Simplifying ratios and sharing in a ratio
- Direct and inverse proportion
- Best buys / unit rate comparisons
- Speed–distance–time and basic rate problems
How to prepare:
- Always write units (km/h, m/s, AED, etc.).
- Learn the “setup” patterns (e.g., direct proportion: y=kxy=kx).
4) Percentages, profit/loss, and compound change
High frequency and easy to drop marks on.What to practise:
- Percentage increase/decrease
- Reverse percentages
- Profit, loss, discount, tax/VAT style questions
- Compound interest / repeated percentage change
How to prepare:
- Practise reverse percentage questions until you can set them up quickly.
- Don’t round too early unless asked.
5) Fractions, decimals, rounding, and standard form
Shows up as short questions and inside longer problems.What to practise:
- Fraction operations (add/subtract/multiply/divide)
- Converting between fractions/decimals/percentages
- Rounding and significant figures
- Standard form calculations (especially calculator papers)
How to prepare:
- Practise calculator entry for standard form carefully (many students lose marks on input errors).
- Keep answers in exact form when required.
6) Graphs and straight-line equations
Graphs are tested in multiple ways: drawing, reading, and interpreting.What to practise:
- Plotting points accurately and reading values
- Gradient and y-intercept
- Equation of a straight line (from graph or two points)
- Real-life graphs (distance–time, conversion graphs)
How to prepare:
- Use a ruler, label axes, and choose a sensible scale.
- Learn gradient as “rise over run” and practise quick calculations.
7) Geometry: angles, polygons, and (sometimes) circle theorems
Angle-chasing appears regularly.What to practise:
- Angles in parallel lines
- Triangles and quadrilaterals angle facts
- Interior/exterior angles of polygons
- Circle theorems (if included in your syllabus)
How to prepare:
- Write reasons (“alternate angles”, “angles in a triangle sum to 180°”).
- Don’t guess—use known facts step-by-step.
8) Trigonometry and Pythagoras
Very common, especially in Extended papers.What to practise:
- Pythagoras in right-angled triangles
- Trig ratios (sin, cos, tan)
- Bearings, elevation/depression (diagram-based trig)
How to prepare:
- Draw and label the triangle clearly first.
- Check you’re using the correct sides (opposite/adjacent/hypotenuse).
9) Mensuration: area, perimeter, surface area, volume
Mark-efficient topic: you can score quickly if you know formulas.What to practise:
- Area/perimeter of standard shapes
- Circles (area/circumference; sectors if included)
- Surface area and volume (prisms/cylinders; others depending on syllabus)
How to prepare:
- Keep a mini formula sheet and practise unit conversions (cm² vs m², cm³ vs m³).
- Show substitution clearly (values into formulas).
10) Probability and statistics
Often tested as “small” questions that add up fast.What to practise:
- Probability of single events and combined events
- Tree diagrams / Venn diagrams (if included)
- Mean, median, mode, range
- Cumulative frequency / box plots (where included)
How to prepare:
- For probability, list outcomes clearly to avoid missing cases.
- For statistics, show working even if you use a calculator.
How to revise these 10 topics (simple, effective plan)
Week 1: Build accuracy (topic-wise)
- Pick 2 topics per day
- Do 10–15 exam-style questions per topic
- Mark and write an error log:
- topic
- what went wrong
- correct method
- what to remember next time
Week 2: Build speed + exam confidence (mixed + papers)
- Do timed mixed sets (20–30 minutes)
- Do one past paper every 2–3 days
- Review your error log daily (10 minutes)
Common mistakes that lose marks (and how to avoid them)
- Algebra sign errors: slow down on negatives; one step per line.
- Units missing: write units in rates and mensuration.
- Rounding too early: round at the end unless told otherwise.
- Messy diagrams: redraw neatly for trig/geometry and label everything.
Quick FAQs
Are these topics the same for Cambridge and Edexcel IGCSE?
Mostly yes. The depth and style vary, but these 10 areas are consistently high-frequency across both boards.
Should I do topic revision or full past papers?
Start topic-wise to fix gaps, then switch to full papers to build timing and confidence.
How can I improve quickly if I’m stuck at a grade boundary?
Focus on your error log + the most repeated question types. Small accuracy gains across these topics can move you up a grade.
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- Website: https://www.edflik.com
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- Email: support@edflik.com
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