The Central Board of Secondary Education (CBSE) is one of the
most prestigious and preferred educational boards in India. It
aims to provide a holistic and healthy education to all its
learners so that students can get adequate space to develop
mentally and physically. CBSE is known for its comprehensive
syllabus and well structured exam pattern which helps students
to get a detailed idea about the entire curriculum. There are
around 20,102 schools under the board which follows the NCERT
The CBSE class 10 board exam is undoubtedly the first important
exam in an individual’s life because this phase of life
shapes the future of the students for their next successive
years. The CBSE class 10 board exam is the first nationalised
external exam that the students undertake and hence gives a
nightmare to many students appearing for the exam.
The subjects are designed very strategically and helps the
students to get influenced by the lessons and knowledge imparted
to them. The subjects, especially science and maths require the
students to get completely immersed in them and enjoy learning
along with gathering knowledge.
Exam Structure and Important Chapters
Students studying in CBSE board are assessed in two areas:
Co-scholastic and Scholastic. The academic year of the Scholastic
areas is divided into two terms which are Term 1 and Term 2 and two
types of tests which are Formative Assessment and Summative
Assessment are conducted to evaluate the academic subjects.
Formative Assessment: In the primary classes, the formative
assessment tests are in the form of oral tests, dictation,
homework, class test, projects & assignments, storytelling,
elocution, memory test, quiz, etc.
Summative Assessment: Here students are tested internally. The
Summative Assessment (SA) tests are in the form of pen and
paper. The tests are conducted by the school. The Summative
Assessment is conducted at the end of each term two times each
Number of Questions
Pair of Linear Equation in Two Variables
Introduction to Trigonometry
Some Applications of Trigonometry
Area related to circles
Surface area and volumes
Statistics and Probability
Unit I: Number Systems
1. Real Numbers
Euclid's division lemma, Fundamental Theorem of Arithmetic -, Proofs
of results - irrationality of √2, √3, √5, terms of
terminating/non-terminating recurring decimals.
Unit II: Algebra
Zeros of a polynomial. Relationship between zeros and coefficients of
2. Pair of Linear Equations in Two Variables
Pair of linear equations in two variables and their graphical
solution. Geometric representation of different possibilities of
Solution of a pair of linear equations in two variables algebraically
- by substitution, by elimination and by cross multiplication
method. Simple situational problems must be included. Simple
problems on equations reducible to linear equations.
3. Quadratic Equations
Standard form of a quadratic equation ax2+bx+c=0, (a ≠
0). Solution of the quadratic equations (only real roots) by
factorization, by completing the square 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
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
1. Lines (In two-dimensions)
Concepts of coordinate geometry, graphs of linear equations. Distance
formula. Section formula (internal division). Area of a triangle.
Unit IV: Geometry
Definitions, examples, counter examples of similar triangles.
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.
If a line divides two sides of a triangle in the same ratio, the
line is parallel to the third side.
If in two triangles, the corresponding angles are equal, their
corresponding sides are proportional and the triangles are
If the corresponding sides of two triangles are proportional,
their corresponding angles are equal and the two triangles are
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.
If a perpendicular is drawn from the vertex of the right angle
of a right triangle to the hypotenuse, the triangles on each
side of the perpendicular are similar to the whole triangle and
to each other.
The ratio of the areas of two similar triangles is equal to the
ratio of the squares on their corresponding sides.
In a right triangle, the square on the hypotenuse is equal to
the sum of the squares on the other two sides.
In a triangle, if the square on one side is equal to sum of the
squares on the other two sides, the angles opposite to the first
side is a right triangle.
The tangent at any point of a circle is perpendicular to the
radius through the point of contact.
The lengths of tangents drawn from an external point to circle
Division of a line segment in a given ratio (internally).
Tangent to a circle from a point outside it.
Construction of a triangle similar to a given triangle.
Unit V: Trigonometry
1. Introduction to Trigonometry
Trigonometric ratios of an acute angle of a right-angled triangle.
Proof of their existence (well defined); motivate the ratios,
whichever are defined at 0° and 90°. Values (with proofs) of
the trigonometric ratios of 30°, 45° and 60°.
Relationships between the ratios.
2. Trigonometric Identities
Proof and applications of the identity sin2A +
cos2A = 1. Only simple identities to be given.
Trigonometric ratios of complementary angles.
3. Heights and Distances
Simple and believable problems on heights and distances. Problems
should not involve more than two right triangles. Angles of
elevation / depression should be only 30°, 45°, 60°.
Unit VI: Mensuration
1. Areas Related to Circles
Motivate the area of a circle; 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. Plane figures involving triangles, simple
quadrilaterals and circle should be taken).
2. Surface Areas and Volumes
(i) Problems on finding surface areas and volumes of combinations of
any two of the following: cubes, cuboids, spheres, hemispheres and
right circular cylinders/cones. Frustum of a cone.
(ii) Problems involving converting one type of metallic solid into
another and other mixed problems. (Problems with combination of not
more than two different solids be taken).
Unit VII: Statistics and Probability
Mean, median and mode of grouped data (bimodal situation to be
avoided). Cumulative frequency graph.
Classical definition of probability. Simple problems on single events
(not using set notation).
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