**CHAPTER 1: Real Numbers**

- Euclid’s Division Lemma
- The Fundamental Theorem of Arithmetic
- Revisiting Irrational Numbers
- Revisiting rational numbers and their decimal expansion.

**CHAPTER 2: Polynomials**

- Geometrical Meaning of the Zeroes of a Polynomial
- Relationship between Zeroes and Coefficients of a Polynomial
- Long division method for polynomials.

**CHAPTER 3: Pair of Linear Equations in Two Variables**

- Pair of Linear Equations in Two Variables
- Graphical Method of Solution of a Pair of Linear Equations
- Algebraic Methods of Solving a Pair of Linear Equations
- Equations reducible to a pair of linear equations in two variables.

**CHAPTER 4: Quadratic Equations**

- Quadratic Equations
- Solution of a Quadratic Equation by Factorization
- Solution of a Quadratic Equation by Completing the Square
- Nature of roots.

**CHAPTER 5: Arithmetic Progressions**

- Arithmetic Progressions
- nth Term of an AP
- sum of first n terms of an AP.

**CHAPTER 6: Triangles**

- Similar Figures
- Similarity of Triangles
- Criteria for Similarity of Triangles
- Areas of Similar Triangles
- Pythagoras theorem

**CHAPTER 7: Coordinate Geometry**

- Distance Formula
- Section Formula
- Area of a Triangle
- Condition of a linearity

**CHAPTER 8: Introduction to Trigonometry**

- Trigonometric Ratios
- Trigonometric Ratios of Some Specific Angles
- Trigonometric Ratios of Complementary Angles
- Trigonometric identities.

**CHAPTER 9: Some Applications of Trigonometry**

- Solving word problem related to Heights of a Tower & Distance of a pole

**CHAPTER 10: Circles**

- Tangent to a Circle
- Number of Tangents from a Point on a Circle

**CHAPTER 11: Constructions**

- Division of a Line Segment
- Construction of Tangents to a Circle from a Point Outside the Circle
- Construction of a triangle similar to the given triangle.

**CHAPTER 12: Areas Related To Circles**

- Perimeter and Area of a Circle-A Review
- Areas of Sector and Segment of a Circle
- Areas of Combination of Plane Figures

**CHAPTER 13: Surface Areas And Volumes**

- Curved & Total Surface Area of a Combination of Solids
- Volume of a Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone

**CHAPTER 14: Statistics**

- Mean of Grouped Data
- Mode of Grouped Data
- Median of Grouped Data
- Graphical representation of cumulative frequency distribution.

**CHAPTER 15: Probability**

- Probability-A Theoretical Approach of Occurrence of Events
- Finding Probability Using Complement of a Known Event

**Important Tips: **

• Read each question thoroughly before answering.

• Draw neat diagrams wherever required.

• If you get stuck while solving any question, leave appropriate space and move to the next question without wasting any time.

• Practice as many questions as possible for these topics.

• Never skip NCERT textbook and previous year papers.