CBSE Class 10th Math

Maths is more of a language than just a subject. The “Language of Numbers”. When it comes to learning mathematics, it requires a lot of practice, concept clarity, memorization of formula and in-depth knowledge of the subject. When learning mathematics with application oriented mind-set, it becomes way easier to get the key insights of maths. Unlike theory subjects, Maths is a scoring subject as it provides students, an opportunity to score 100 percent marks being sure shot if the steps, formulae and answers are correct. Syllabus of CBSE Board class 10th maths for the academic year 2021-2022 includes chapters such as number systems, algebra, coordinate geometry, trigonometry, equations with two variables, etc. Every chapter in CBSE class 10th maths syllabus is important with special weightage as the question papers of the Board Exam is based upon the syllabus itself.

In the academic year 2020-2021 CBSE Board reduced the maths syllabus by 30% which has now been restored for the academic year 2021-22. CBSE Board syllabus can be seen below. Along with the syllabus, a detailed weightage of the chapters and the examination pattern is also listed below for the students and teachers.

CBSE Board Class 10thMaths Syllabus for Academic Year 2021-22

CBSE board has released the syllabus of CBSE Class 10thfor the academic year 2021-22. Students can download the Mathematics syllabus pdf of Class 10 Maths from the link below. Also, they can go through the learning outcomes pdf to know what they are being expected to learn from the topics.

  • CBSE Syllabus for Class 10 Maths 2021-22 PDF

  • CBSE Learning Outcomes for Class 10 Mathematics – Download PDF

After downloading the CBSE 10th Maths syllabus, students must print it out and paste it into the study room. It will help them in keeping track of what topics they have covered till now.

CBSE Class 10 Maths Course Structure 2021-22 with Marking Scheme

As students can see in the table below, the CBSE 10th Maths syllabus is divided into 7 units. The marks weightage for each unit is also indicated in the table. The CBSE Syllabus for Class 10 Basic Maths with Marking Scheme is also added in the PDF link provided above.

Students can have a look at the CBSE Class 10 Maths question paper design below.

CBSE 10th Maths Standard Question Paper Design 2021-22

Topology of QuestionsTotal Marks% Weightage (Approx.)
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas.4354
Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.1924
Analysing:
Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations.
Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.
Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.
1822
Total80100
UnitsUnit NameMarks
INumber Systems06
IIAlgebra20
IIICoordinate Geometry06
IVGeometry15
VTrigonometry12
VIMensuration10
VIIStatistics and Probability11
Total80

CBSE Class 10 Mathematics Basic Question Paper Design 2021-22

Students can go through the CBSE Maths Basic Question Paper Design for Class 10 in the table below.

Topology of QuestionsTotal Marks% Weightage (Approx.)
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas.6075
Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.1215
Analysing:
Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations.
Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.
Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.
810
Total80100

CBSE Class 10 Maths Internal Assessment Process

The Maths internal assessment consists of 20 marks. Below is the marking scheme of the Maths Class 10 internal assessment exam.

Internal AssessmentMarks
Pen Paper Test and Multiple Assessment (5+5)10
Portfolio05
Lab Practical05
Total20

Chapter

1. Real Number

  • Introduction
  • Fundamental Theorem of Arithmetic
  • Revisiting Irrational Numbers
  • Revisiting Irrational Numbers and Their Decimal Expansion

2. Polynomials

  • Introduction
  • Geometrical meaning of the Zeroes of a Polynomial
  • Relationship between zeroes of a Polynomial

3. Pair of linear Equations in Two Variables

  • Introduction
  • Pair of linear Equations in Two Variables
  • Graphical Method of Solution of a pair of linear Equations
  • Algebraic Methods of solving a pair of linear equations
    • Substitution Method
    • Elimination Method
  • Equations Reduciable to a pair of linear Equations in Two Variables

4. Quadratic Equations

  • Introduction
  • Quadratic Equations
  • Solution of a Quadratic Equations
  • Solution of a Quadratic Equations by Factorisation
  • Nature of roots

5. Arithmetic Progression

  • Introduction
  • Arithmetic Progression
  • nth Term of an AP
  • Sum to First n Terms of an AP

6. Triangles

  • Introduction
  • Similar Figures
  • Similarity of Triangles
  • Criteria for Similarity of triangles
  • Area of Similar triangles
  • Pythagoras Theorem

7. Coordinate Geometry

  • Introduction
  • Distance formula
  • Section Formula

8. Trigonometry

  • Introduction
  • Trigonometry Ratios
  • Trigonometry Ratios of some specific Angles
  • Trigonometric Identities

9. Some Applications of Trigonometry

  • Introduction
  • Heights and Distances

10. Circle

  • Introduction
  • Tangent to a Circle
  • Number of tangents from a point on a circle.

11. Constructions

  • Introduction
  • Division of line segment(Deleted externally ratio)
  • Construction of tangent to a circle
  • 12. Areas Related to Circles

    • Introduction
    • Perimeter and area of a circle
    • Area of sector of a circle
    • Areas of Combination of plane Figures

    13. Surface Areas and volumes

    • Introduction
    • Surface area of a combination of solids
    • Volume of a Combination of solids
    • Conversion of solid from one shape to Another

    14. Statistics

    • Introduction
    • Mean of grouped Data(Deleted step Deviation Method)
    • Mode of Grouped data
    • Medion Grouped data

    15. Probability

    • Introduction
    • Probability – Theoretical Approach

    Demo lectures for NCERT Class 10th Mathematics

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