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.

1. Blueprint of maths class 10 CBSE 2023
2. 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