Maths Class 10
Master Maths Class 10 with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.
Learn ChapterWhy Learn This With Teachoo?
Learn Class 10 Maths with clear concept explanations, step-by-step NCERT solutions, important questions, MCQs, case-based questions and CBSE sample-paper solutions on Teachoo.
This Class 10 Maths category covers the complete NCERT course for students preparing for CBSE Class 10 Maths Basic and Maths Standard. Students can study every chapter concept-wise, find answers to individual NCERT questions and practise examination-oriented questions.
Teachoo explains the method behind each answer instead of providing only the final result. Algebraic steps, formulas, geometrical proofs, diagrams and calculations are shown clearly so students can understand the concept and apply it to unfamiliar questions.
What You Can Learn on Teachoo
Teachoo’s Class 10 Maths resources include:
-
Step-by-step NCERT exercise solutions
-
Solutions to solved examples
-
Answers to optional exercises
-
Easy concept explanations
-
Video explanations for NCERT questions
-
Multiple-choice questions or MCQs
-
NCERT Exemplar MCQs
-
Assertion–Reason questions
-
Case-based questions
-
Previous-year board questions
-
Chapter-wise important questions
-
Maths Basic sample-paper solutions
-
Maths Standard sample-paper solutions
-
Formula-based and proof-based questions
-
Competency-based examination practice
The material can be used for daily learning, homework, school examinations, pre-board preparation and final CBSE board revision.
Class 10 Maths Chapters
The NCERT Class 10 Maths course contains the following chapters:
1. Real Numbers
Learn Euclid’s Division Lemma and Euclid’s Division Algorithm. Study the Fundamental Theorem of Arithmetic, prime factorisation, HCF, LCM, irrational numbers and the decimal expansion of rational numbers.
2. Polynomials
Understand the geometrical meaning of the zeroes of a polynomial. Learn the relationship between zeroes and coefficients and use the polynomial division algorithm to solve different questions.
3. Pair of Linear Equations in Two Variables
Form and solve pairs of linear equations graphically and algebraically. Learn substitution, elimination and cross-multiplication methods. Understand consistent and inconsistent equations, intersecting lines, parallel lines and coincident lines.
4. Quadratic Equations
Identify and form quadratic equations. Solve them using factorisation, completing the square and the quadratic formula. Use the discriminant to determine the nature of the roots and solve word problems.
5. Arithmetic Progressions
Understand arithmetic progressions or APs, the first term and common difference. Learn to find the nth term, the number of terms and the sum of the first n terms. Apply AP formulas to real-life and statement-based questions.
6. Triangles
Learn about similar triangles and the AA, SSS and SAS similarity criteria. Study the Basic Proportionality Theorem, the ratio of the areas of similar triangles and the Pythagoras Theorem, including numerical and proof-based questions.
7. Coordinate Geometry
Use the distance formula, section formula and area-of-a-triangle formula. Find coordinates of points, ratios, equidistant points and unknown values. Check whether points are collinear and identify figures formed by given coordinates.
8. Introduction to Trigonometry
Understand the six trigonometric ratios: sine, cosine, tangent, cosecant, secant and cotangent. Learn their values at standard angles, complementary-angle relationships and important trigonometric identities.
9. Some Applications of Trigonometry
Apply trigonometric ratios to calculate heights and distances. Understand the line of sight, angle of elevation and angle of depression through practical problems.
10. Circles
Study tangents to a circle and their geometrical properties. Learn why the tangent is perpendicular to the radius at the point of contact and why tangents drawn from an external point have equal lengths.
11. Constructions
Learn to divide a line segment in a given ratio, construct triangles similar to a given triangle and draw tangents to a circle from an external point. Understand the justification behind each construction.
12. Areas Related to Circles
Calculate the circumference and area of a circle, length of an arc, area of a sector and area of a segment. Solve questions involving combinations of circles, semicircles, sectors and other figures.
13. Surface Areas and Volumes
Calculate the surface area and volume of cubes, cuboids, cylinders, cones, spheres, hemispheres and frustums. Solve questions involving combinations of solids and the conversion of one solid shape into another.
14. Statistics
Calculate the mean of grouped data using the direct, assumed-mean and step-deviation methods. Learn to find the median and mode and draw less-than and more-than cumulative-frequency curves or ogives.
15. Probability
Understand theoretical probability and complementary events. Solve questions involving coins, dice, playing cards, bags, boxes and other equally likely outcomes.
Maths Basic and Maths Standard Preparation
CBSE students may appear for either Class 10 Maths Basic or Maths Standard. Both courses are based on the prescribed Class 10 Maths syllabus, but the Standard examination generally includes questions requiring a higher level of application and problem-solving.
Teachoo provides material useful for both levels:
-
NCERT solutions for building the foundation
-
Concept-wise explanations for understanding formulas
-
MCQs and case-based questions for competency practice
-
Important questions for chapter revision
-
Sample-paper solutions for Maths Basic
-
Sample-paper solutions for Maths Standard
-
Previous-year questions for understanding examination patterns
Students taking Maths Standard should practise the more challenging concept-wise questions, NCERT Exemplar problems and previous-year Standard questions. Students taking Maths Basic must still understand the complete NCERT course and should not depend only on memorised formulas.
Two Ways to Study Class 10 Maths
Teachoo organises the material in two useful ways.
Find an NCERT Answer
Use the serial-order section when you need the solution to a particular NCERT exercise, example or question. Select the chapter, open the relevant exercise and choose the required question.
This approach is useful for:
-
Completing school homework
-
Checking a specific answer
-
Understanding a difficult NCERT example
-
Correcting a calculation mistake
-
Revising an exercise before a test
Learn a Concept
Use the concept-wise section when learning a chapter for the first time or revising it properly. The chapter is divided into individual concepts. Each concept is explained first, followed by related questions arranged from easier to more difficult.
This approach is useful for:
-
Building a strong foundation
-
Understanding formulas and theorems
-
Connecting similar question types
-
Identifying weak areas
-
Preparing for board-level application questions
Do not begin by reading solutions. Attempt the question, write every step and then compare your method with the Teachoo solution.
Important Questions for the Class 10 Board Exam
Teachoo provides chapter-wise important questions covering the complete Class 10 Maths syllabus. These include commonly tested concepts, proof-based questions, formula applications, previous-year MCQs and competency-based questions.
Important questions should be used after completing the NCERT exercises. They are not a substitute for the textbook. The correct order is:
-
Learn the concept.
-
Solve the NCERT examples.
-
Complete the NCERT exercises.
-
Practise important questions.
-
Attempt a timed sample paper.
-
Analyse every mistake.
-
Reattempt the incorrect questions.
Simply reading a sample-paper solution does not count as practice. Attempt the complete paper under examination conditions before checking the answers.
Why Class 10 Maths Is Important
Class 10 Maths is both a board subject and the foundation for higher mathematics. Algebra, coordinate geometry, trigonometry, mensuration, statistics and probability continue into Classes 11 and 12 and appear in many competitive examinations.
Students often lose marks because they skip steps, use the wrong formula, make sign errors or fail to interpret the question correctly. Teachoo’s step-by-step approach helps students see the complete logical sequence required in a good board answer.
The explanations use student-friendly language while keeping the mathematics accurate. Formulas, proofs, constructions and calculations are presented clearly for CBSE students, teachers and parents.
Frequently Asked Questions
Does Teachoo provide solutions for every Class 10 Maths chapter?
Yes. Teachoo covers all Class 10 Maths chapters with NCERT exercise solutions, examples and concept explanations.
Are the solutions useful for both Maths Basic and Maths Standard?
Yes. Both examinations use the prescribed Class 10 Maths curriculum. Teachoo also provides separate sample-paper solutions and additional practice useful for Basic and Standard students.
Are Class 10 Maths solutions explained step by step?
Yes. The solutions show formulas, substitutions, algebraic operations, geometrical reasoning and intermediate calculations.
Does Teachoo provide Class 10 Maths MCQs?
Yes. MCQs, NCERT Exemplar questions, previous-year MCQs, assertion–reason questions and case-based questions are available for different chapters.
Are CBSE Class 10 Maths sample-paper solutions available?
Yes. Teachoo provides solutions to CBSE sample papers for Maths Basic and Maths Standard, including papers from multiple board-examination years.
How should I prepare for the Class 10 Maths board exam?
Complete the NCERT textbook first. Then solve chapter-wise important questions, previous-year questions and timed sample papers. Maintain a mistake list and reattempt every incorrect question without looking at the solution.
Select a Class 10 Maths chapter and begin with the concept you need to learn. Solve the questions yourself before viewing the answers. Board-exam confidence comes from written practice, not from repeatedly reading solutions.