- Euclid's division lemma
- The Fundamental theorem of arithmetic
- Revisiting irrational numbers
- Revisiting rational numbers and their decimal expansion
- irrationality of √2, √3, √5

- Geometrical meaning of zeroes of polynomial
- Relationship between zeroes and coefficients of polynomial
- Division algorithms for polynomial

- Pair of linear equation in two variables
- Algebraic method of solving pair of linear equation- substitution method
- Algebraic method of solving pair of linear equation- elimination method
- Algebraic method of solving pair of linear equation- cross multiplication method
- Equation reducible to pair of linear equation in two variables

- Quadratic Equations: ax
^{2}+bx+c=0=0, (a ≠ 0) - Solution of quadratic equation by factorization
- Solution of quadratic equation by completing the square
- Nature of roots
- Situational problems based on quadratic equations

- Introduction
- Arithmetic progressions
- Derivation of the n
^{th}term - sum of the first n terms of A.P.
- application in solving daily life problems

- Concepts of coordinate geometry
- Graphs of linear equations
- Distance formula
- Section formula (internal division)
- Area of a triangle

- Similar figures
- Similarity of triangles
- Basic Proportionality Theorem
- Criteria for similarity of triangles
- Area of similar triangles
- Pythagoras theorem
- Converse of Pythagoras theorem

- Tangent to a circle
- Number of tangent from a point to a circle

- Division of a line segment
- Construction of triangle similar to given triangle
- Construction of tangents to a circle

- Trigonometry: Introduction
- Trigonometric ratios of some specific angles
- Trigonometric ratios of complementary angles
- Trigonometric identities
- Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°.
- Relationships between the ratios

- Proof and applications of the identity sin
^{2}A + cos^{2}A = 1 - Trigonometric ratios of complementary angles

- Simple and believable problems on heights and distances
- Angles of elevation / depression of 30°, 45°, 60°.

- Perimeter and area of a circle
- Area of sector and segment of a circle
- Area of segment of a circle
- Problems on Area and Perimeter

- 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.
- 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).

- Mean of grouped data
- Mode of grouped data
- Median of grouped data
- Graphical representation of cumulative frequency distribution

- Introduction
- Probability- a theoretical approach