When you only have 3 weeks — which is what you have between results and the improvement exam — you cannot revise all 15 chapters of Class 10 Maths. You have to be strategic. Here's what the past 7 years of CBSE Class 10 Maths papers actually show.
The Chapters That Appear Every Single Year
These chapters have had at least one question in every CBSE Class 10 Maths paper for the past 7 years without exception. If you skip these, you are leaving guaranteed marks on the table.
| Chapter | Why It Matters | Typical Marks |
|---|---|---|
| Real Numbers | HCF/LCM and Euclid's algorithm — direct formula questions, 1–2 markers every year | 3–5 marks |
| Triangles | Similarity criteria and the Basic Proportionality Theorem — proof or application appears every year | 3–5 marks |
| Arithmetic Progressions | Find nth term or sum — straightforward once you know the two formulas | 3–5 marks |
| Quadratic Equations | Factorisation or discriminant — word problems based on these appear consistently | 3–5 marks |
| Areas Related to Circles | Sector + triangle combinations — a 3-marker appears almost every year | 3–5 marks |
| Statistics | Mean, median, mode from a frequency table — one full question every year | 5–6 marks |
Tip
Just these six chapters cover roughly 50–55% of the total marks in CBSE Class 10 Maths. Master these before touching anything else.
Chapters That Appear Frequently But Not Every Year
These are important but slightly less predictable. If you have time after the six above, come to these.
| Chapter | What to Focus On |
|---|---|
| Polynomials | Relationship between zeros and coefficients — short formula-based questions |
| Pair of Linear Equations | Graphical and elimination method — word problems are common |
| Coordinate Geometry | Distance formula and section formula — mid-point is asked regularly |
| Introduction to Trigonometry | Standard identities and values — memorise the table of sin/cos/tan for 0°, 30°, 45°, 60°, 90° |
| Surface Areas and Volumes | Combination of solids — frustum of a cone appears most often |
| Probability | Basic probability with cards or dice — straightforward once you understand the formula |
Chapters You Can Skip If Time Is Tight
Constructions. Some Geometry proofs. Deleted syllabus topics. These either carry very few marks or require a lot of preparation time relative to what they give you back. If you are already short on time, prioritise the chapters above.
How Marks Are Distributed in the Paper
| Section | Question Type | Marks Each | Total Questions |
|---|---|---|---|
| Section A | MCQ + Assertion-Reason | 1 mark | 20 questions |
| Section B | Short Answer | 2 marks | 5 questions |
| Section C | Short Answer | 3 marks | 6 questions |
| Section D | Long Answer | 5 marks | 4 questions |
| Section E | Case Study | 4 marks | 3 questions |
Section A is 20 marks — 25% of the paper. These are mostly direct formula or definition questions. The six chapters listed above dominate Section A. Nail those and you have a strong base before you even reach Section B.
The One Rule for Maths That Changes Everything
Every step you write is a mark. CBSE Maths is step-marked, not answer-marked. If you get the right answer but show no working, you get zero. If you show correct working but make a calculation error at the end, you still get most of the marks. Write every step. Every single one. Even the ones that feel obvious.
Tip
In the improvement exam, your biggest advantage over your first attempt is knowing exactly what the examiner wants. Use that. Write steps. Use the formulas clearly. Draw rough figures for geometry. These are the details that separate 68 from 82.
How Many Questions Come from Each Chapter
CBSE Class 10 Maths has 15 chapters but the paper consistently draws heavily from 8–9. Here is a realistic expectation based on past paper patterns:
| Frequency in Paper | Chapters |
|---|---|
| Every year, multiple questions | Real Numbers, Triangles, Quadratic Equations, Arithmetic Progressions, Statistics |
| Most years, at least one question | Polynomials, Coordinate Geometry, Introduction to Trigonometry, Circles, Surface Areas and Volumes |
| Appears occasionally | Pair of Linear Equations, Applications of Trigonometry, Areas Related to Circles, Probability |
| Rarely tested, low marks | Constructions |
The 3-Week Improvement Exam Maths Plan
- 1.Week 1 (Days 1–7): Cover all 5 'every year' chapters — do every NCERT exercise with full steps shown
- 2.Week 2 (Days 8–14): Solve 3 full past papers (timed) — track which chapters you drop marks in
- 3.Week 3 (Days 15–21): Fix the specific question types where you lost marks in Week 2 practice papers; do one final full paper on Day 20
Tip
Maths improvement exam scores improve most from writing practice, not re-studying theory. If you can solve a problem mentally but write it poorly, you will still lose marks. Write every solution fully — every line, every step, every formula stated before use.