Central Board of Secondary Education (CBSE) is a national level board of education in India that conducts the final examinations for Class 10 and Class 12 every year. In this article, we will discuss CBSE Class 10 Syllabus 2022-23 Maths, English, Science, Hindi, Social Science, Sanskrit, and all other subjects. Information like how to download the syllabus will also be provided in this article.
COURSE STRUCTURE CLASS –X
|
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 (2022-23)
Time: 3 Hours Max.
Marks: 80
|
S. No. |
Typology
of Questions |
Total Marks |
% Weightage (approx.) |
|
1 |
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 |
43 |
54 |
|
2 |
Applying: Solve problems to new situations
by applying acquired knowledge, facts, techniques and rules in a different
way. |
19 |
24 |
|
3 |
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 |
|
|
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 |
MATHEMATICS-Basic QUESTION PAPER DESIGN
CLASS – X (2022-23)
Time: 3Hours Max.
Marks: 80
|
S. No. |
Typology of
Questions |
Total Marks |
% Weightage
(approx.) |
|
1 |
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 |
60 |
75 |
|
2 |
Applying: Solve problems to new situations
by applying acquired knowledge, facts, techniques and rules in a different
way. |
12 |
15 |
|
3 |
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 |
PRESCRIBED BOOKS:
1.
Mathematics - Textbook for class IX - NCERT Publication
2.
Mathematics - Textbook for class X - NCERT Publication
3.
Guidelines for Mathematics Laboratory in
Schools, class IX - CBSE Publication
4.
Guidelines for Mathematics Laboratory in
Schools, class X - CBSE Publication
5.
Laboratory Manual - Mathematics, secondary stage
- NCERT Publication
6.
Mathematics exemplar problems for class IX,
NCERT publication.
7.
Mathematics exemplar problems for class X, NCERT publication.
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