NCERT Solutions for Class 10 Maths cover all exercises from Chapters 1 to 15 and are provided here for easy access. These NCERT solutions are prepared by experienced teachers to support students in their exam preparation. Students can download chapter-wise PDFs to understand better methods for solving different types of questions.
The answers given in the NCERT books are very useful study material for students. These Class 10 Maths solutions for the 2026–27 session help in building a clear understanding of all the concepts in the textbook. By practising these questions, students can check how well they are prepared and improve their knowledge. The solutions also help in clearing doubts quickly and effectively.
Class 10 Maths solutions and chapter-wise answers are available in both Hindi and English, so all students can use them easily. Whether you are revising important topics or practising key questions for CBSE board exams, this guide gives clear and step-by-step solutions to help you understand better and score well.
It is useful for CBSE Class 10 students who want correct, updated, and easy-to-follow Maths solutions based on the latest exam pattern.
Chapter No. | Chapter Name |
|---|---|
1 | Real Numbers |
2 | Polynomials |
3 | Pair of Linear Equations in Two Variables |
4 | Quadratic Equations |
5 | Arithmetic Progressions |
6 | Triangles |
7 | Coordinate Geometry |
8 | Trigonometry |
9 | Applications of Trigonometry |
10 | Circles |
11 | Constructions |
12 | Areas Related to Circles |
13 | Surface Areas and Volumes |
14 | Statistics |
15 | Probability |
Focus: HCF, LCM, Euclid’s Division Lemma
Formulas:
a = bq + r
HCF × LCM = Product of two numbers
Focus: Zeros and relationships
Formulas:
For quadratic ax² + bx + c:
Sum of zeros = -b/a
Product of zeros = c/a
Focus: Solving equations
Formulas:
General form: ax + by + c = 0
Conditions:
Unique solution: a1/a2 ≠ b1/b2
No solution: a1/a2 = b1/b2 ≠ c1/c2
Focus: Solving quadratic equations
Formulas:
x = (-b ± √(b² - 4ac)) / 2a
Discriminant: D = b² - 4ac
Focus: Sequence and series
Formulas:
nth term: an = a + (n-1)d
Sum: Sn = n/2 [2a + (n-1)d]
Focus: Similarity, Pythagoras
Formulas:
a² + b² = c²
Area ratio = (ratio of sides)²
Focus: Distance and section
Formulas:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Section formula = ( (mx2 + nx1)/(m+n), (my2 + ny1)/(m+n) )
Focus: Ratios and identities
Formulas:
sinθ = P/H, cosθ = B/H
sin²θ + cos²θ = 1
Focus: Heights and distances
Formulas:
tanθ = Height / Distance
Focus: Tangents
Formulas:
Tangent is perpendicular to radius at point of contact
Tangents from same point are equal
Focus: Geometrical drawing
(No major formulas, based on steps)
Focus: Sectors and segments
Formulas:
Area of circle = πr²
Area of sector = (θ/360) × πr²
Focus: 3D shapes
Formulas:
Volume of cylinder = πr²h
Volume of sphere = 4/3 πr³
Focus: Mean, median
Formulas:
Mean = Σfixi / Σfi
Focus: Chance of events
Formula:
P(E) = Favourable outcomes / Total outcomes
Unit / Chapter Group | Chapters Included | Marks |
1. Number Systems | Real Numbers | 5–6 |
2. Algebra | Polynomials, Linear Equations, Quadratic Equations, Arithmetic Progressions | 20–21 |
3. Coordinate Geometry | Coordinate Geometry | 6 |
4. Geometry | Triangles, Circles, Constructions | 15 |
5. Trigonometry | Trigonometric Identities, Heights & Distances | 12 |
6. Mensuration | Areas Related to Circles, Surface Areas & Volumes | 10 |
7. Statistics & Probability | Statistics, Probability | 11 |
Total (Theory Exam) | — | 80 |
Total marks = 80 (theory) + 20 (internal assessment)
Algebra has the highest weightage (20–21 marks)
Geometry and Trigonometry together also carry high marks (27 marks)
Focus on Algebra, Geometry, and Trigonometry as they cover more than 50% of the paper
NCERT Solutions for Class 10 Maths are step-by-step answers to all the questions given in the NCERT textbook. These solutions are designed according to the CBSE syllabus and help students understand how to solve problems correctly and easily. They explain each step in a simple way so that students can learn the method, not just the answer.
Better understanding: They explain concepts in a clear and simple manner.
Step-by-step answers: Helps you learn the correct method of solving questions.
Exam preparation: Most board exam questions are based on NCERT, so these solutions are very useful.
Doubt clearing: Helps you quickly understand and fix mistakes.
Self-practice: You can check your answers and improve your performance.
First, try to solve the question on your own.
Then, check the solution to see if your method is correct.
Understand each step instead of just copying the answer.
Practice regularly to improve speed and accuracy.
Revise important questions before exams.
Focus on understanding concepts, not memorizing.
Practice NCERT questions multiple times.
Pay more attention to important chapters like Algebra, Trigonometry, and Geometry.
Manage your time while solving papers.
Revise formulas daily.
Solve previous year question papers for better preparation.
NCERT Solutions for Class 10 Maths play a very important role in board exam preparation because most of the questions in the CBSE exam are based directly or indirectly on the NCERT textbook.
1. Clear Understanding of Concepts: These solutions explain each question in a step-by-step way, making it easier to understand the concepts clearly instead of just memorizing formulas.
2. Based on CBSE Exam Pattern: The answers follow the latest CBSE pattern, so students get an idea of how to write answers properly in the exam.
3. Covers All Important Questions: NCERT Solutions include all textbook questions, which are often asked in exams or used as a base for other questions.
4. Improves Problem-Solving Skills: By practising these solutions regularly, students learn different methods to solve problems and improve their speed and accuracy.
5. Helps in Scoring Better Marks: When you practise NCERT questions thoroughly, you reduce mistakes and become more confident, which helps in scoring higher marks.
6. Quick Revision Tool: Before exams, students can quickly revise all chapters using these solutions and clear any last-minute doubts.
7. Builds Strong Foundation: NCERT Solutions strengthen basic concepts, which is useful not only for board exams but also for future studies.
NCERT Class 10 Maths Solutions are step-by-step answers to all textbook questions, designed as per the latest CBSE syllabus to help students understand concepts clearly.
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