# Blueprint of Maths Class 10 CBSE 2023-24 Standard & Basic Maths Chapter Wise

The Blueprint of Maths Class 10 CBSE 2023-24 is a document that outlines the weightage of different chapters in the Mathematics syllabus for Class 10. This document is released by the CBSE every year to help students prepare for the board exams.

## Maths Chapter Wise Blueprint of Class 10 CBSE 2023-24 has the following chapters:

- Number Systems
- Basic Algebra
- Geometry
- Mensuration
- Trigonometry
- Statistics
- Probability

**The weightage of each chapter is as follows:**

- Number Systems: 10%
- Basic Algebra: 20%
- Geometry: 20%
- Mensuration: 15%
- Trigonometry: 10%
- Statistics: 10%
- Probability: 5%

The Blueprint Maths Class 10 CBSE 2023-24 is an important resource for students who are preparing for the board exams. It helps students to identify the most important chapters and to focus their studies accordingly.

**Here are some tips for using the Blueprint Maths Class 10 CBSE 2023-24:**

- Read the Blueprint carefully and understand the weightage of each chapter.
- Make a study plan based on the Blueprint.
- Focus your studies on the most important chapters.
- Solve practice questions from the Blueprint chapters.
- Take mock tests based on the Blueprint.

By following these tips, you can use the Blueprint Maths Class 10 CBSE 2023-24 to improve your chances of success in the board exams.

- Blueprint of maths class 10 CBSE 2023
- Blueprint of maths class 10 CBSE 2023 chapter wise

### COURSE STRUCTURE CLASS –10

Units 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 & PROBABILTY 11

Total 80

**UNIT I: NUMBER SYSTEMS**

1. REAL NUMBER (15) Periods

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and

after illustrating and motivating through examples, Proofs of irrationality of.

**UNIT II: ALGEBRA**

1. POLYNOMIALS (8) Periods

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

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods

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

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

3. QUADRATIC EQUATIONS (15) Periods Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using 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 (10) Periods 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 (15) Periods

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.

Section formula (internal division).

**UNIT IV: GEOMETRY**

1. TRIANGLES (15) Periods

Definitions, examples, counter examples 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 (10) Periods

Tangent to a circle at, 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 (10) Periods

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values

of the trigonometric ratios of 300

, 450 and 600

. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES (15) Periods Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.

3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10)Periods.

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 (12) Periods Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a

circle, problems should be restricted to central angle of 60°, 90° and 120° only.

2. SURFACE AREAS AND VOLUMES (12) Periods 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 (18) Periods

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

2. PROBABILITY (10) Periods

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

MATHEMATICS-Standard

QUESTION PAPER DESIGN

CLASS – X (2023-24)

Time: 3 Hours Max. Marks: 80

S. Typology of Questions Total

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.

Applying: Solve problems to new situations by applying acquired

knowledge, facts, techniques and rules in a different way.

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

18 22

INTERNAL ASSESSMENT 20 MARKS

Pen Paper Test and Multiple Assessment (5+5) 10 Marks

Portfolio 05 Marks

Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

10

MATHEMATICS-Basic

QUESTION PAPER DESIGN

CLASS – X (2023-24)

Time: 3Hours Max. Marks: 80

S.No. Typology of Questions Total

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

Applying: Solve problems to new situations by applying acquired

knowledge, facts, techniques and rules in a different way.

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

8 10

Total 80 100

**INTERNAL ASSESSMENT 20 MARKS**

Pen Paper Test and Multiple Assessment (5+5) 10 Marks

Portfolio 05 Marks

Lab Practical (Lab activities to be done from the prescribed books) 05 Marks