In short: CBSE Class 10 Maths carries 80 marks (theory) + 20 marks (internal assessment) = 100 marks total. The highest-weightage units are Algebra (20 marks) and Geometry (15 marks). Master Algebra + Geometry and you cover 35 of 80 marks — nearly half the paper. Focus on Quadratic Equations, Arithmetic Progressions, Triangles, Circles, and Statistics for maximum marks with minimum effort.
Understanding the marks distribution is the first step to scoring well. Most students study every chapter equally — but smart students focus more on high-weightage chapters while ensuring they cover everything. This guide gives you the exact unit-wise marks, chapter-wise importance, and a strategy to maximize your score.
CBSE Class 10 Maths — Unit-Wise Marks Distribution 2027
| Unit No. | Unit Name | Marks |
|---|---|---|
| I | Number Systems | 06 |
| II | Algebra | 20 |
| III | Coordinate Geometry | 06 |
| IV | Geometry | 15 |
| V | Trigonometry | 12 |
| VI | Mensuration | 10 |
| VII | Statistics & Probability | 11 |
| Total (Theory) | 80 | |
| Internal Assessment | 20 | |
| Grand Total | 100 |
Detailed Chapter-Wise Breakdown by Unit
Unit I: Number Systems (06 Marks)
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 1: Real Numbers | Euclid's Division Lemma, Fundamental Theorem of Arithmetic, HCF/LCM using prime factorization, irrational proofs, decimal expansions | 1-2 questions | 06 |
Question types expected:
- Prove that √2, √3, √5 are irrational (2-3 marks)
- Find HCF and LCM using prime factorization (2-3 marks)
- Euclid's Division Algorithm problems (2-3 marks)
Strategy: This is a small but scoring unit. The proofs are standard and repeated every year. Practice the irrationality proof format — once learned, it is guaranteed marks.
Unit II: Algebra (20 Marks) — HIGHEST WEIGHTAGE
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 2: Polynomials | Zeros of polynomial, relationship between zeros and coefficients, division algorithm | 1-2 questions | 4-6 |
| Ch 3: Pair of Linear Equations in Two Variables | Graphical method, substitution, elimination, cross-multiplication, word problems | 2-3 questions | 6-8 |
| Ch 4: Quadratic Equations | Factorization, completing the square, quadratic formula, nature of roots (discriminant), word problems | 2-3 questions | 6-8 |
| Ch 5: Arithmetic Progressions | nth term, sum of n terms, word problems | 1-2 questions | 4-6 |
This unit alone is 20 marks — 25% of the paper!
Most important chapters: Quadratic Equations and Pair of Linear Equations. Together, they can carry 12-16 marks. These chapters appear in every board exam without exception.
Key formulas to master:
- Quadratic formula: x = (-b ± √(b²-4ac)) / 2a
- Discriminant: D = b² - 4ac (D > 0: two real roots, D = 0: equal roots, D < 0: no real roots)
- AP: nth term = a + (n-1)d
- AP: Sum of n terms = n/2 × [2a + (n-1)d] or n/2 × (first term + last term)
Unit III: Coordinate Geometry (06 Marks)
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 7: Coordinate Geometry | Distance formula, section formula, midpoint, area of triangle using coordinates | 1-2 questions | 06 |
Key formulas:
- Distance = √[(x₂-x₁)² + (y₂-y₁)²]
- Section formula: (mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)
- Area of triangle = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|
Strategy: Formula-based chapter — memorize the three formulas and practice 10-15 problems. Easy marks.
Unit IV: Geometry (15 Marks) — SECOND HIGHEST
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 6: Triangles | Similarity criteria (AA, SAS, SSS), BPT (Basic Proportionality Theorem), Pythagoras theorem proofs | 2-3 questions | 8-10 |
| Ch 10: Circles | Tangent properties, theorems on tangents, problems on tangent lengths | 1-2 questions | 5-7 |
Triangles is one of the most important chapters in the entire paper. BPT proof and Pythagoras theorem proof appear almost every year.
Important theorems to prove:
- Basic Proportionality Theorem (BPT / Thales' Theorem)
- Converse of BPT
- Pythagoras Theorem
- Converse of Pythagoras Theorem
- Tangent is perpendicular to radius at point of contact
- Tangents drawn from external point are equal
Unit V: Trigonometry (12 Marks)
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 8: Introduction to Trigonometry | Trigonometric ratios, ratios of complementary angles, trigonometric identities | 1-2 questions | 6-8 |
| Ch 9: Applications of Trigonometry | Height and distance problems, angle of elevation/depression | 1-2 questions | 4-6 |
Trigonometric ratios table (MUST memorize):
| Angle | sin | cos | tan |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 | √3/2 | 1/√3 |
| 45° | 1/√2 | 1/√2 | 1 |
| 60° | √3/2 | 1/2 | √3 |
| 90° | 1 | 0 | undefined |
Key identities:
- sin²θ + cos²θ = 1
- 1 + tan²θ = sec²θ
- 1 + cot²θ = cosec²θ
Unit VI: Mensuration (10 Marks)
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 12: Areas Related to Circles | Area/circumference of circle, area of sector, area of segment | 1-2 questions | 4-6 |
| Ch 13: Surface Areas and Volumes | Combination of solids (cone+cylinder, hemisphere+cylinder, etc.), conversion of solids | 1-2 questions | 4-6 |
Commonly asked: Problems involving combination of solids (a toy made of cone on hemisphere, a silo made of cylinder with hemispherical top). These carry 4-5 marks and follow standard patterns.
Unit VII: Statistics & Probability (11 Marks)
| Chapter | Topics | Expected Questions | Marks |
|---|---|---|---|
| Ch 14: Statistics | Mean (direct, assumed mean, step deviation), Median from grouped data, Mode from grouped data, ogive | 2-3 questions | 7-8 |
| Ch 15: Probability | Classical probability, simple events, complementary events | 1 question | 3-4 |
Statistics is highly scoring — the questions follow a fixed pattern. If you know the three methods for finding mean and the median formula for grouped data, you can score full marks.
Mean formulas:
- Direct method: Mean = Σfᵢxᵢ / Σfᵢ
- Assumed mean method: Mean = a + Σfᵢdᵢ / Σfᵢ
- Step deviation method: Mean = a + (Σfᵢuᵢ / Σfᵢ) × h
Median formula: Median = l + [(n/2 - cf) / f] × h
Mode formula: Mode = l + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] × h
CBSE Class 10 Maths Paper Pattern 2027
| Question Type | Number of Questions | Marks per Question | Total Marks |
|---|---|---|---|
| MCQ (Multiple Choice) | 20 | 1 | 20 |
| Very Short Answer | 5 | 2 | 10 |
| Short Answer (SA-I) | 6 | 3 | 18 |
| Long Answer (LA) | 4 | 5 | 20 |
| Case-based / Source-based | 3 | 4 (1+1+2) | 12 |
| Total | 38 | 80 |
Internal choice: Provided in approximately 1/3 of questions across all sections.
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High-Priority Chapters — Where to Focus First
| Priority | Chapter | Unit | Marks Range | Why It Is Important |
|---|---|---|---|---|
| 1 | Quadratic Equations | Algebra (20) | 6-8 marks | Appears every year, word problems carry high marks |
| 2 | Triangles | Geometry (15) | 8-10 marks | Proofs are repeated, high marks per question |
| 3 | Statistics | Stats (11) | 7-8 marks | Predictable pattern, easy to score |
| 4 | Pair of Linear Equations | Algebra (20) | 6-8 marks | Word problems, graphical questions |
| 5 | Introduction to Trigonometry | Trigonometry (12) | 6-8 marks | Identity proofs, ratio-based questions |
| 6 | Circles | Geometry (15) | 5-7 marks | Tangent theorems, construction |
| 7 | Arithmetic Progressions | Algebra (20) | 4-6 marks | Formula-based, scoring |
| 8 | Surface Areas and Volumes | Mensuration (10) | 4-6 marks | Combination of solids, conversion problems |
Mastering the top 5 chapters covers approximately 35-42 marks (44-53% of the paper).
Previous Year Analysis — Most Repeated Topics
| Topic | Times Appeared (Last 5 Years) | Expected Marks |
|---|---|---|
| Prove √2 or √3 is irrational | 5/5 | 2-3 marks |
| Quadratic equation word problems | 5/5 | 4-5 marks |
| BPT proof | 5/5 | 4-5 marks |
| Mean/Median from grouped data | 5/5 | 4-5 marks |
| Trigonometric identity proof | 5/5 | 3-4 marks |
| Height and distance problems | 5/5 | 4-5 marks |
| AP word problems | 5/5 | 3-5 marks |
| Tangent problems | 4/5 | 3-4 marks |
| Area of sector/segment | 4/5 | 3-4 marks |
| Section/Distance formula | 4/5 | 3-4 marks |
Internal Assessment Breakdown (20 Marks)
| Component | Marks |
|---|---|
| Periodic Tests (best 2 out of 3) | 10 |
| Multiple Assessment (activities, projects, quizzes) | 05 |
| Portfolio (classwork, homework notebooks) | 05 |
| Total Internal Assessment | 20 |
Tip: Internal assessment is almost always scored well (15-18/20) if you attend regularly and submit work on time. Focus your preparation energy on the 80-mark theory exam.
Month-Wise Preparation Strategy
| Month | Focus Chapters | Target |
|---|---|---|
| October-November | Algebra (Ch 2, 3, 4, 5) + Number Systems (Ch 1) | Complete highest-weightage unit |
| December | Geometry (Ch 6, 10) + Trigonometry (Ch 8, 9) | Complete second and third highest units |
| January | Mensuration (Ch 12, 13) + Coordinate Geometry (Ch 7) | Complete remaining chapters |
| February (pre-board) | Statistics (Ch 14) + Probability (Ch 15) + Full revision | Complete syllabus, start mock tests |
| March (final revision) | Previous year papers, sample papers, weak areas | 1 paper per day, time management |
Frequently Asked Questions
Is CBSE Class 10 Maths paper difficult?
The paper tests understanding and application, not just formula memorization. If you practice regularly (1-2 hours daily for maths), the paper is very manageable. The CBSE sample paper is the best indicator of difficulty level.
How to score 80/80 in Maths?
Full marks is possible. Focus on: (1) zero silly mistakes in MCQs, (2) show all steps in long answers, (3) draw neat diagrams in geometry, (4) verify answers using substitution. Practice at least 20 previous year/sample papers before the exam.
Which chapter should I study first?
Start with Algebra (highest weightage) if you are strong in maths. If maths scares you, start with Statistics (most predictable and formula-based). Build confidence with easier chapters before tackling trigonometry proofs.
Are case-based questions difficult?
Case-based questions (12 marks total) test application of concepts in real-life scenarios. They are usually moderate difficulty — easier than long answer questions. Practice the CBSE sample paper case studies to understand the format.
Do construction questions come in the exam?
Constructions (Chapter 11) are sometimes clubbed into the geometry section. While not a separate high-weightage area, basic constructions (dividing a line segment, tangent to a circle) can appear for 3-4 marks. Do not skip it entirely.
How many hours should I study Maths daily?
For Class 10 Maths, 1-2 hours of daily practice is sufficient if you start 5-6 months before the exam. During the last 2 months, increase to 2-3 hours. Quality matters more than quantity — solve problems, do not just read solutions.
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Knowing the weightage is step one. Actual practice is where marks come from. Padhaao offers chapter-wise practice for every Class 10 Maths topic — from Real Numbers to Probability — with CBSE-aligned questions, step-by-step solutions, and instant feedback. Focus on the high-weightage chapters first and build toward full marks.
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