• Counting Problem (3 weeks)

– Multiplication Principle;
– Permutation & Combination;
– Inclusion-exclusion Principle; Binding and Insertion; Recurrence Relation.

• Number Theory (3 weeks)

– Factor, Divisor and Multiple; Prime Numbers and Prime Factorization; 
– The least common multiple and the greatest common divisor;
– Remainder; Numbers in different bases; indefinite equations (optional).

• Quadratic Equations (2 weeks)

– Completing the square & Quadratic Formula; Vieta’s formula;
– Simplification of Power of Roots; Cross-Multiplication.

• Plane Geometry-I (2 week)

– Area; Side Length and Perimeter; Angles. 
– Congruent Triangles; Areas.

• Plane Geometry-II (1 week)

– Similar Triangles;

• Plane Geometry-III (1 week)

– Pythagorean Theorem.

• Plane Geometry-IV (2 weeks)

– Topics on Circles.

• Solid Geometry (2 weeks)

– Rectangular Box; Cylinder;
– Cone; Sphere; Pyramid & Tetrahedron (optional)

• Coordinate Geometry (2 weeks)

– Coordinate system; equations of lines, circles; Ellipse (optional); Parabola; Hyperbola (optional);

• Probability (2 weeks)

– Discrete Probability;
– Continuous Probability: 1D, 2D, 3D (optional).