Chapter 1: Real Numbers (6-8 Marks)

Important Topics: HCF & LCM (Word Problems), Irrationality Proofs.

Expected Questions: 2-mark proofs, 3-mark HCF/LCM problems, 1-mark MCQs.

Chapter 2: Polynomials (4-6 Marks)

Important Topics: Relationship between zeroes & coefficients, Finding polynomials.

Expected Questions: Case-based graph questions, Finding unknown coefficients.

Chapter 3: Pair of Linear Equations (8-10 Marks)

Important Topics: Graphical & Algebraic Methods, Substitution and Elimination method to find the value of x, Word Problems.

Expected Questions: 5-mark word problem, 2-mark consistency check.

Chapter 4: Quadratic Equations (8-10 Marks)

Important Topics: Factorization & Quadratic Formula, Nature of Roots, Word Problems.

Expected Questions: Nature of roots MCQ, 4-mark word problem.

Chapter 5: Arithmetic Progressions (6-8 Marks)

Important Topics: nth term, Sum of n terms, Word Problems (Instalments, Seating).

Expected Questions: Case-based real-life AP, Finding missing terms.

Chapter 6: Triangles (10-12 Marks)

Important Topics: Similarity Criteria, BPT & Its Converse.

Expected Questions: 3-mark proof using similarity, 5-mark proof with BPT.

Chapter 7: Coordinate Geometry (6-8 Marks)

Important Topics: Distance Formula, Section Formula.

Expected Questions: 2-mark distance calculation, 4-mark finding coordinates.

Chapter 8: Trigonometry (8-10 Marks)

Important Topics: Trigonometric Ratios,  Trigonometric Identities.

Expected Questions: 4-mark identity proving, 2-mark Trigonometric Ratios: Definition of sin, cos, tan, cosec, sec, cot in a right-angled triangle (opposite, adjacent, hypotenuse).

Standard Angles: Values for 0°, 30°, 45°, 60°, and 90°. .

Chapter 9: Applications of Trigonometry (6-8 Marks)

Important Topics: Heights & Distances, Angle of Elevation/Depression.

Expected Questions: 5-mark case-study on height of tower/building.

Chapter 10: Circles (6-8 Marks)

Important Topics: Tangent & Radius Perpendicularity, Lengths of Tangents.Tangent to a Circle:

Definition of a tangent, secant, and non-intersecting lines with respect to a circle.

The tangent to a circle is perpendicular to the radius through the point of contact.

The number of tangents from a point on a circle.

Theorems and Applications:

Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Theorem 10.2: The lengths of tangents drawn from an external point to a circle are equal.

Expected Questions: 3-mark proof on tangent properties, Diagram-based MCQ.

Chapter 11: Areas Related to Circles (6-8 Marks)

Important Topics: Area of Sector & Segment, Combination of Circles.Area of a circle, circumference.Area of sectors and segments of a circle.Problems based on areas and perimeter/circumference, with segment area calculations restricted to central angles of \(60^{\circ }\), \(90^{\circ }\), and \(120^{\circ }\). 

Expected Questions: 4-mark area of shaded region, Case-study on design.

Chapter 12: Surface Areas and Volumes (10-12 Marks)

Important Topics: Combination of Solids, Real-life problems.

• Basic Solids: Cubes, Cuboids, Cylinders, Cones, Spheres, Hemispheres.
• Combined Solids: Objects made by joining two or more basic solids (e.g., hemisphere on a cylinder)

Expected Questions: 5-mark volume of combined solid, MCQ on formula.

Chapter 13: Statistics (8-10 Marks)

Important Topics: Mean of Grouped Data, Mode, Median.

Expected Questions: Case-study on survey data, 4-mark mean calculation.( missing frequency)

Chapter 14: Probability (6-8 Marks)

Important Topics: Theoretical Probability, Cards, Dice, Coin  Real-life Scenarios.

Expected Questions: 3-mark card/dice problem, Case-based experimental.

Note: Based on analysis of CBSE’s latest sample papers, competency-focused questions, and past 5-year trends. Refer to official CBSE syllabus for final confirmation.