Class X Maths Important Questions

Hello Priti,

Here are some important topics and questions for Class X Mathematics, covering all major chapters as per most school curriculums (CBSE, ICSE, or state boards):

1. Real Numbers

• Prove that square root of 2 or square root of 3 is irrational.
• Find the HCF of two numbers using the Euclid’s Algorithm .
• Solve questions on terminating and non-terminating decimals .
  
  2. Polynomials
  
  
• Find the zeros of a quadratic polynomial and verify the relationship with coefficients.
  
  
• Solve questions involving the division algorithm for polynomials.
  
  3. Pair of Linear Equations in Two Variables
  
  
• Solve a pair of linear equations using:
  • Substitution method
  • Elimination method
  • Graphical method
    
    
• Word problems, e.g., age-related problems or distance-speed problems.
  
  4. Quadratic Equations
  
  
• Solve quadratic equations using the quadratic formula .
• Find the nature of roots based on the discriminant.
• Word problems on area, numbers, and motion.
  
  5. Arithmetic Progressions (AP)
  
  
• Find the n-th term of an AP.
• Sum of first n terms of an AP.
• Word problems related to AP, like finding the sum of odd numbers.
  
  6. Triangles
  
  
• Prove similarity using Basic Proportionality Theorem (BPT) or AA criteria .
• Solve problems using similarity (areas, heights).
• Application of Pythagoras Theorem .
  
  7. Coordinate Geometry
  
  
• Find the distance between two points.
• Midpoint formula and section formula.
• Area of a triangle using coordinate points.
  
  8. Trigonometry
  
  
• Evaluate trigonometric identities.
• Solve heights and distances problems using trigonometric ratios.
  
  9. Circles
  
  
• Prove properties related to tangents of circles.
• Find the length of tangents from an external point.
  
  10. Probability
  
  
• Solve problems involving finding probabilities from dice, cards, and coins.
  
  11. Statistics
  
  
• Solve questions involving mean, median, and mode .
• Draw cumulative frequency curves.
  
  12. Surface Areas and Volumes
  
  
• Solve problems on combined shapes (e.g., cone + hemisphere).
• Find volumes and surface areas of cylinders, spheres, and cones.

These questions cover most of the important concepts and prepare students for their Class X board exams. Practice NCERT examples and exercises thoroughly for better understanding.

For Previous Years Questions (PYQs) of class 10 Maths Click Here .

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

Preparing for the Class 10 Mathematics exam requires a strategic approach to cover all essential topics. Here are some key areas to focus on:

1. Real Numbers:

• Understand the Euclidean algorithm for finding the HCF of two numbers.
• Practice problems on the Fundamental Theorem of Arithmetic.

2. Polynomials:

• Learn to factorize quadratic polynomials.
• Solve problems related to the relationship between the zeros and coefficients of a polynomial.

3. Pair of Linear Equations in Two Variables:

• Master methods like substitution, elimination, and cross-multiplication.
• Work on word problems involving linear equations.

4. Quadratic Equations:

• Solve quadratic equations by factorization, completing the square, and using the quadratic formula.
• Understand the nature of roots and discriminants.

5. Arithmetic Progressions:

• Calculate the nth term and the sum of the first n terms.
• Apply the properties of arithmetic progressions in various problems.

6. Triangles:

• Use theorems like Pythagoras' theorem and properties of similar triangles.
• Solve problems involving areas and perimeters of triangles.

7. Coordinate Geometry:

• Find the distance between two points and the area of a triangle.
• Understand the section formula and its applications.

8. Introduction to Trigonometry:

• Memorize trigonometric ratios and their values for standard angles.
• Solve problems involving heights and distances.

9. Some Applications of Trigonometry:

• Apply trigonometric ratios to solve real-life problems.

10. Circles:

• Understand the properties of tangents and secants.
• Solve problems involving lengths of tangents from external points.

11. Constructions:

• Practice constructing tangents to a circle from an external point.
• Construct a triangle given its perimeter and base angles.

12. Areas Related to Circles:

• Calculate the area and perimeter of sectors and segments.
• Solve problems involving areas of combinations of plane figures.

13. Surface Areas and Volumes:

• Find the surface area and volume of combinations of solids.
• Solve problems involving frustum of a cone.

14. Statistics:

• Calculate mean, median, and mode for grouped data.
• Understand cumulative frequency and its graphical representation.

15. Probability:

• Solve problems based on the probability of events.
• Understand the concept of conditional probability.

Hello,

Practicing Important questions can help you to get better marks by clearing important concepts.

Careers360 provides various study resources including Class X important questions for maths. Here are the links where you can access them :-

1. CBSE class 10th important questions with solutions

2. Class 10th CBSE Algebra important questions

Hope it helps !

Hello Greetings

For Class X Maths, important questions are available for each chapter, helping you focus on key concepts and problem-solving techniques. *Key Chapters* to concentrate on include _Real Numbers_, _Polynomials_, _Linear Equations in Two Variables_, _Quadratic Equations_, _Arithmetic Progressions_, _Triangles_, _Coordinate Geometry_, _Introduction to Trigonometry_, and _Statistics_ . Practicing these important questions will enhance your understanding, boost problem-solving skills, and ensure efficient revision of crucial topics . You can find these questions on websites like BYJU'S, Educart, and Physics Wallah, which offer free PDF downloads and detailed solutions .

Have a great day