In this guide
Ask SSC CGL toppers where their rank came from, and many will point to maths. It is not that they were naturally gifted; many describe themselves as average at school. What they did differently was to treat quantitative aptitude as a skill to be trained — concepts first, then practice, then speed — rather than a talent you either have or don't. This post lays out that approach.
How much maths is worth
| Stage | Questions | Marks | Negative marking |
|---|---|---|---|
| Tier 1 | 25 | 50 | −0.50 |
| Tier 2 Paper I | 30 | 90 | −1 |
Together with reasoning, maths makes up Section I of Tier 2 — 180 marks where preparation pays off reliably.
Topic priorities
| Area | Topics | Why it matters |
|---|---|---|
| Arithmetic | Percentage, profit–loss–discount, ratio, averages, mixtures, interest, time–work, time–speed–distance | Many questions; foundation for DI |
| Algebra | Identities, x + 1/x type questions, simplification of expressions | Frequent; quick with practice |
| Geometry | Triangles, circles, quadrilaterals, polygons | Several questions per paper; needs properties |
| Mensuration | 2D areas and perimeters; 3D volumes and surface areas | Formula-based |
| Trigonometry | Ratios, identities, standard values, heights and distances | Frequent; very fast with identities |
| Number system | Divisibility, remainders, HCF–LCM, unit digits | Regular questions |
| Data interpretation | Tables, bar, line and pie charts | Tests arithmetic speed |
| Statistics and probability | Mean, median, mode; basic probability | More in Tier 2 |
The order of study
- Number system and simplification — calculation fluency.
- Percentage — the base for profit–loss, interest and DI.
- Ratio, averages, mixtures.
- Profit–loss–discount, interest.
- Time–work, time–speed–distance.
- Algebra.
- Geometry, then mensuration.
- Trigonometry and heights–distances.
- Data interpretation and statistics.
This order builds each topic on the one before.
Three stages for every topic
Stage 1: concept
Learn why a formula works, not just the formula. For example, understand that a 20% increase followed by a 20% decrease leaves you at 96% of the original, because 1.2 × 0.8 = 0.96. Once you understand this, many "trick" questions become obvious.
Stage 2: practice
Solve 50–100 questions per topic from a standard book and previous years' papers, without a timer at first.
Stage 3: speed
Practise timed sets — 20 questions in 15 minutes — and look for shortcuts.
Speed techniques
- Tables and squares: know squares up to 30, cubes up to 15, and fraction–percentage equivalents (1/8 = 12.5%, 1/6 ≈ 16.67%).
- Use the options: substitute, check divisibility, or eliminate by approximation.
- Assume values: in algebra and percentages, assume convenient numbers (such as 100).
- Approximation in DI and simplification.
A worked example
If x + 1/x = 4, find x² + 1/x².
Square both sides: x² + 2 + 1/x² = 16, so x² + 1/x² = 14. With practice, questions like this take under 20 seconds — which is why algebra is so valuable in CGL.
Formula sheets and error logs
- Keep one page per area with formulas, properties and standard results.
- Keep an error log: each mistake with the correct method.
- Revise both weekly.
If maths has always been your weak point
- Start with NCERT Class 8–10 chapters on the relevant topics.
- Spend the first month on arithmetic only, building confidence.
- Practise 30 minutes of calculation daily — multiplication, division, fractions.
- Don't skip geometry and trigonometry; start them slowly in the second month.
- Measure progress in accuracy first, speed second.
Practice
- If a price rises by 25% and then falls by 20%, what is the net change?
- If x − 1/x = 3, find x² + 1/x².
- What is 3/8 as a percentage?
- List the nine areas above and rate your confidence in each from 1 to 5. Start with the lowest-rated area that comes early in the study order.
Answers: 1. No change (1.25 × 0.8 = 1). 2. 11. 3. 37.5%.
A note on dates and numbers. Exam patterns, vacancies and schedules change from year to year. Always confirm the current details in the latest notification on the Staff Selection Commission website .
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