Name: All In One Mathematics CBSE Class 10th (NEW)
Brand: Amit Book Depot
Price: 515 INR
Availability: InStock

All In One Mathematics CBSE Class 10th by Er Prem Kumar and published by Arihant Prakashan is a comprehensive guide designed to help students master the CBSE Class 10 Mathematics syllabus with ease. This book follows the latest NCERT curriculum and is structured to provide conceptual clarity, extensive practice, and exam-oriented preparation.

Key Features of the Book

1. Complete Syllabus Coverage—The book includes all chapters as per the CBSE Class 10 Mathematics syllabus, ensuring students do not miss any important topic.

2. Chapter-wise Theory—Each chapter begins with a detailed explanation of concepts, supported by examples, diagrams, and step-by-step solutions for better understanding.

3. Solved Examples & Practice Questions—Every concept is reinforced with solved examples followed by a variety of practice questions, including MCQs, short answer-type, and long answer-type questions.

4. Activities & Applications—The book includes real-life applications of mathematical concepts, helping students connect theory with practical scenarios.

5. Exam-Oriented Preparation—With sample question papers (basic & standard levels) and CBSE 2025 board exam papers, students get ample practice to excel in their exams.

6. Error-Free & Authentic Content—The book is meticulously designed to provide accurate solutions and up-to-date content as per the latest CBSE guidelines.

Why Choose This Book?

1. Strictly Follows NCERT & CBSE Guidelines—Ensures students study only relevant material.

2. Ideal for Both Basic & Standard Mathematics— Covers all difficulty levels.

3. Enhances Problem-Solving Skills— Includes a wide range of questions for thorough practice.

4. Helps in Last-Minute Revision—Well-structured summaries and important formulas for quick review.

5. Boosts Confidence for Board Exams—Previous years’ papers and sample papers simulate real exam conditions.

This book is a one-stop solution for CBSE Class 10 students aiming for high scores in their mathematics board exams. Whether for daily study, revision, or final exam preparation, All In One Mathematics CBSE Class 10th provides everything needed to succeed.

Have Doubts Regarding This Product ? Ask Your Question

Q1

Is this book based on the latest CBSE syllabus for Class 10 Mathematics?

A1

Yes, it strictly follows the latest NCERT/CBSE syllabus for the 2024-2025 academic session.
Q2

Does it cover both Basic and Standard Mathematics levels?

A2

Yes, it includes separate sample papers for Basic and Standard Mathematics as per CBSE guidelines.
Q3

Does it include previous years’ CBSE board papers?

A3

Yes, it includes CBSE 2025 Board Papers (Basic & Standard Levels) for practice.
Q4

Are there MCQ-based questions for objective-type practice?

A4

Yes, each chapter has MCQs, short, and long answer-type questions for comprehensive preparation.
Q5

Are real-life applications of mathematical concepts included?

A5

Yes, it includes activities and situational problems to help students understand practical applications.
Q6

Is this book useful for competitive exams like NTSE or Olympiads?

A6

While primarily designed for CBSE exams, the problem-solving approach can help in competitive exams.
Q7

Does it have enough practice questions for thorough preparation?

A7

Yes, it contains a wide variety of questions, including HOTS (High Order Thinking Skills) problems.
Q8

Are diagrams and graphs provided for better understanding?

A8

Yes, illustrations, graphs, and diagrams are included for visual learning.
Q9

Does it include trigonometric identities and proofs?

A9

Yes, trigonometric identities with proofs are covered in the Trigonometry section.
Q10

Is this book recommended by CBSE teachers?

A10

Yes, many CBSE teachers and toppers recommend this book for board exam preparation.

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1. Real Numbers

2. Polynomials

3. Pair of Linear Equations in Two Variables

4. Quadratic Equations

5. Arithmetic Progression (AP)

6. Triangles

7. Coordinate Geometry

8. Introduction to Trigonometry

9. Some Applications of Trigonometry

10. Circles

11. Areas Related to Circles

12. Surface Areas and Volumes

13. Statistics

14. Probability

- Activities

- 2 Sample Questions Papers (Basic Level)

- 2 Sample Questions Papers (Standard Level)

- CBSE Examination Paper 2025 (Basic Level)

- CBSE Examination Paper 2025 (Standard Level)

COURSE STRUCTURE

UNIT I: NUMBER SYSTEMS

1. REAL NUMBER

Fundamental Theorem of Arithmetic—statements after reviewing work done earlier and after illustrating and motivating through examples, proofs of the irrationality of the square roots of 2, 3, and 5.

UNIT II: ALGEBRA

1. POLYNOMIALS

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.

Algebraic conditions for the number of solutions. Solution of a pair of linear equations in two variables algebraically—by substitution, by elimination. Simple situational problems.

3. QUADRATIC EQUATIONS

The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization and by using the quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities to be incorporated.

4. ARITHMETIC PROGRESSIONS

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

UNIT III: COORDINATE GEOMETRY

Coordinate Geometry

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division)

UNIT IV: GEOMETRY

1. TRIANGLES

Definitions, examples, and counterexamples of similar triangles.

1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional, and the triangles are similar.

4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar.

5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

2. CIRCLES

Tangent to a circle at the point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

UNIT V: TRIGONOMETRY

1. INTRODUCTION TO TRIGONOMETRY

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined): motivate the ratios, whichever are defined at 0° and 90°. Values of the trigonometric ratios of 30, 45, and 60. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin²A + cos²A = 1. Only simple identities are to be given.

3. HEIGHTS AND DISTANCES: Angle of Elevation, Angle of Depression.

Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.

UNIT VI: MENSURATION

1. AREAS RELATED TO CIRCLES

Area of sectors and segments of a circle. Problems based on the areas and perimeters/circumferences of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to central angles of 60°, 90°, and 120° only.).

2. SURFACE AREAS AND VOLUMES

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

1. STATISTICS

Mean, median, and mode of grouped data (bimodal situation to be avoided).

2. PROBABILITY

Classical definition of probability. Simple problems on finding the probability of an event.