Get Dream College with eSaral Gurukul | 40% OFF - Launch Offer | Limited Seats

Important Questions for Class 10 Maths - PDF Download

JEE Mains & Advanced

When it comes to class 10 Maths, understanding the important questions is key to scoring well in exams. These questions cover essential topics and concepts that are likely to appear in the exams. Let's delve into some of the most crucial questions for class 10 Maths.

One of the most important questions in class 10 Maths is related to algebra. Algebra involves solving equations and understanding various operations like factorization and simplification. Questions on quadratic equations, linear equations, and polynomials are commonly asked. These topics form the basis of many mathematical concepts and are crucial for building a strong foundation in Maths.

Geometry is another vital aspect of class 10 Maths. Questions on triangles, circles, and coordinate geometry are frequently asked. Understanding the properties of shapes and figures, as well as theorems related to angles and sides, is essential for solving geometry problems. These questions often require logical reasoning and critical thinking skills.

Trigonometry is yet another significant topic in class 10 Maths. Questions on trigonometric ratios, identities, heights, and distances are commonly included in exams. Trigonometry involves the study of relationships between angles and sides in triangles and is used extensively in various fields such as engineering, physics, and astronomy.

Statistics and probability are also important chapters in class 10 Maths. Questions on mean, median, mode, and probability distributions are frequently asked. Understanding how to analyze and interpret data, as well as calculate probabilities, is essential for solving these types of questions. Statistics and probability play a crucial role in various real-life scenarios, such as analyzing survey data or making predictions.

Apart from these core topics, class 10 Maths also includes questions on mensuration, which involves the measurement of geometric shapes and volumes. Questions on areas, volumes, and surface areas of different shapes like cubes, cylinders, and cones are commonly asked. Understanding the formulas and concepts related to mensuration is essential for solving these types of questions.

To further aid students in their preparation, many resources offer free PDF downloads of important questions for class 10 Maths. These PDFs compile a comprehensive list of crucial questions along with their solutions, making it easier for students to practice and revise. By solving these questions regularly, students can improve their problem-solving skills and gain confidence in tackling math problems.

In conclusion, understanding the important questions of class 10 Maths is crucial for excelling in exams. From algebra to geometry, trigonometry to statistics, each topic has its significance and requires thorough understanding and practice. By focusing on these important questions and utilizing resources like free PDF downloads, students can strengthen their grasp of mathematical concepts and achieve success in their exams.
Here is the link for the PDFs of the CBSE Class 10th important questions (chapters-wise)

CBSE Important Questions for Class 10 Maths

Chapter 1 - Real Numbers

Chapter 2 - Polynomials

Chapter 3 - Pair of Linear Equations in Two Variables

Chapter 4 - Quadratic Equations

Chapter 5 - Arithmetic Progressions

Chapter 6 - Triangles

Chapter 7 - Coordinate Geometry

Chapter 8 - Introduction to Trigonometry

Chapter 9 - Some Applications of Trigonometry

Chapter 10 - Circles

Chapter 11 - Constructions

Chapter 12 - Areas Related to Circles

Chapter 13 - Surface Areas and Volumes

Chapter 14 - Statistics

Chapter 15 - Probability

Brief Overview Of Chapters

Chapter 1- Real Number

Real numbers are everywhere around us. They include positive and negative integers, fractions, and even numbers with never-ending decimals that don't repeat, like π. In simple terms, if you can find it in the real world, it's a real number. Natural numbers count objects, while integers measure things like temperature. Rational numbers are used for fractions, and irrational numbers help us with square roots. All these numbers make up the family of real numbers.

In Class 10 Maths, we dive deep into understanding real numbers. We'll explore Euclid’s division algorithm, which helps us divide numbers efficiently. The fundamental theorem of arithmetic teaches us about prime factors and how every number can be broken down into them. Plus, we'll uncover methods for finding the least common multiple (LCM) and highest common factor (HCF). Along the way, we'll use plenty of examples to make these concepts crystal clear. Let's get started on our journey through the world of numbers!

Chapter 2 - Polynomials

We'll understand what polynomials are and their different forms, like linear, quadratic, and cubic. We'll also learn about the degree of polynomial expressions and how to graph them. Factorization techniques and the connection between the roots and coefficients of polynomials will be demystified. Throughout, we'll use plenty of examples to grasp these concepts easily. Join us as we unravel the world of polynomials and algebraic expressions, making math simpler and more understandable.

Chapter 3 - Pair of Linear Equations in Two Variables

In this chapter, we'll learn how to find the values of unknown variables using methods like Graphical and Algebraic methods. For example, if Rohan buys 2 pencils and 1 pen for Rs.10, and Sam buys 4 pencils and 2 pens for Rs. 20, we can use this information to find the price of each pen and pencil. By representing pencils and pens as variables and writing linear equations for each situation, we can solve the pair of equations to find the prices. Join us in understanding how to tackle such equations step by step for a clearer grasp of the topic.

Chapter 4 - Quadratic Equations

These notes on quadratic equations are designed to assist students in remembering crucial definitions, formulas, and problem-solving strategies for the CBSE Board Exams 2023-24. Quadratic equations involve expressions with variables raised to the power of two, like x^2. Understanding these equations is essential for tackling various math problems effectively. With these notes, students can enhance their skills and confidence in dealing with quadratic equations, ensuring success in their exams. 

Chapter 5 - Arithmetic Progressions

Let's start by understanding Arithmetic Progression (AP) – what it is, its basic terms, and its essential formulas. An AP is a sequence of numbers where the difference between consecutive terms remains constant. We'll delve into the specifics, including general terms and crucial formulas. These formulas include finding the sum of 'n' terms in an AP and determining the 'nth' term of an AP. By mastering these concepts, we'll be equipped to tackle AP problems with confidence and ease. Join us as we explore the world of Arithmetic Progressions, making math simpler and more understandable.

Chapter 6 - Triangle

Let's explore triangles and their properties in simple terms. Firstly, we'll understand what a triangle is and its basic characteristics. Then, we'll delve into the similarity criteria for polygons with the same number of sides, as well as the specific criteria for triangles. We'll prove the Pythagoras Theorem, a fundamental concept in geometry. Through examples and practice questions, we'll solidify our understanding. Additionally, we'll tackle problems based on triangles and explore related articles to deepen our knowledge. Join us on this journey to unravel the mysteries of triangles and enhance our geometric skills!

Chapter 7 - Coordinate Geometry

Let's dive into coordinate geometry, where we discover the position of points on a plane. Each point is represented by coordinates (x, y), where the x-coordinate shows its distance from the y-axis, and the y-coordinate shows its distance from the x-axis. We'll master finding the distance between two points using the distance formula when their coordinates are known. Furthermore, we'll explore how to calculate the area of a triangle using coordinates. With these skills, we'll navigate the plane confidently, solving problems and exploring the wonders of coordinate geometry. Join us on this journey of discovery and mastery!

Chapter 8 - Introduction to Trigonometry

In math, trigonometry explores the connections between angles and sides of triangles. It comes from Greek words meaning 'three sides' and 'measure.' This chapter introduces trigonometry basics covered in Class 10 Maths. Learn trigonometric ratios for angles, relationships between functions, tables, and identities. Get ready to master the trigonometry concept.

Chapter 9 - Some Applications of Trigonometry

In "Some Applications of Trigonometry," Class 10 students explore how trigonometry helps find heights and distances without direct measurement. Historically, astronomers used it to calculate distances between planets and stars. In geography and navigation, trigonometry is vital for determining latitude and longitude. It's like a toolkit for understanding the world around us, helping us measure and navigate through space. With trigonometry, we can unlock the secrets of the universe and chart our course on Earth with precision and confidence. Let's embark on this journey of discovery and practical application together!

Chapter 10 - Circles

In Class 10 Maths Chapter 10, 'Circles,' you'll dive into fundamental concepts about circles. You'll learn about the basics of circles and how they work. One interesting concept is tangents, which are lines that touch a circle at exactly one point. You'll explore how to draw tangents to a circle from a point outside the circle. Also, you'll discover the fascinating idea of the number of tangents that can be drawn from a single point on a circle. Understanding these concepts will help you grasp the beauty and utility of circles in mathematics.

Chapter 11 - Areas Related to Circles

In this section, you'll explore various concepts linked to circles, making math easier to understand. You'll delve into crucial topics like the area and circumference of circles, helping you calculate the space inside and around them. Additionally, you'll learn about segments and sectors, which divide circles into manageable parts for analysis. Understanding angles and lengths within circles will aid in solving geometry problems more effectively. Moreover, you'll visualize areas of both plane and solid figures, enhancing your spatial comprehension. Mastering these concepts will empower you to tackle a wide range of mathematical challenges with confidence and precision.

Chapter 12 - Surface Areas and Volumes

In this chapter, we'll explore surface area and volume for various solid shapes like cubes, cuboids, cones, and cylinders. Surface area is divided into Lateral Surface Area (LSA), Total Surface Area (TSA), and Curved Surface Area (CSA). We'll delve into the formulas for finding these areas and also explore volume formulas for different three-dimensional shapes. Additionally, we'll learn about combining different solid shapes, enabling us to tackle more complex problems. By understanding these concepts thoroughly, we'll be equipped to calculate surface areas and volumes accurately, making math more manageable and practical.

Chapter 13 - Statistics

In this section, we'll explore key statistical concepts to make them easier to understand. We'll cover grouped and ungrouped data, essential for organizing and analyzing information. Then, we'll dive into measures of central tendencies like mean, median, and mode, crucial for understanding the typical or central value in a dataset. You'll learn various methods to calculate these measures, gaining a deeper understanding of their significance. Plus, we'll explore the relationships between mean, median, and mode through practical examples, helping to reinforce your understanding. Mastering these concepts will enhance your ability to interpret and draw insights from data effectively.

Chapter 14 - Probability

In this upcoming lesson, we'll delve into the world of probability, making it easy to grasp. We'll start with the definition of probability, understanding how likely events are to happen. Then, we'll explore experimental probability, where we conduct real-life experiments to determine probabilities. Theoretical probability will also be covered, focusing on predictions based on mathematical principles. You'll learn various terminologies used in probability, such as events, outcomes, and sample spaces, with clear explanations for each. By the end, you'll have a solid understanding of probability concepts, empowering you to analyze and predict outcomes with confidence.

Benefits of Solving CBSE Class 10 Maths Important Questions

Solving CBSE class 10 Maths important questions offers numerous benefits for students. These questions are carefully selected to cover essential topics and concepts, helping students prepare effectively for their exams. Let's explore some of the key benefits of solving these important questions.

Firstly, solving important questions helps students gain a deeper understanding of the subject. By practicing a variety of questions covering different topics, students can reinforce their knowledge and grasp concepts more effectively. This hands-on approach to learning allows students to apply theoretical concepts to practical problems, enhancing their overall understanding of Maths.

Moreover, solving important questions improves problem-solving skills. Math is all about logic, reasoning, and critical thinking. By tackling a variety of challenging problems, students learn to analyze information, identify patterns, and devise strategies to solve problems efficiently. These problem-solving skills are not only valuable in Maths but also applicable to various other subjects and real-life situations.

Additionally, solving important questions boosts confidence. As students solve more and more problems successfully, they gain confidence in their abilities and become more self-assured. This confidence is crucial, especially during exams, as it helps students approach questions calmly and tackle them with a clear mind. Confidence also fosters a positive attitude toward learning and encourages students to strive for excellence.

Furthermore, solving important questions helps students familiarize themselves with the exam pattern and question format. CBSE class 10 Maths important questions are often designed to mimic the style and difficulty level of actual exam questions. By practicing these questions, students become familiar with the types of questions they can expect in the exam, reducing anxiety and improving performance on the day of the exam.

Another benefit of solving important questions is that it enables students to identify their strengths and weaknesses. By regularly practicing a variety of questions, students can assess their understanding of different topics and identify areas where they need more practice or clarification. This self-assessment allows students to focus their efforts on areas of improvement, leading to better overall performance in exams.

Moreover, solving important questions enhances retention and recall. Repetition is key to learning, and by repeatedly solving important questions, students reinforce their memory of key concepts and formulas. This repetition helps solidify learning and improves long-term retention, ensuring that students retain their Maths knowledge even after the exam is over.

Furthermore, solving important questions from previous years' papers can help students gauge their preparedness for the exam. By solving these questions under timed conditions, students can simulate the exam environment and assess their speed and accuracy. This practice helps students build stamina and confidence for the actual exam, reducing the likelihood of making mistakes due to time pressure.

In conclusion, solving CBSE class 10 Maths important questions offers a wide range of benefits for students. From improving understanding and problem-solving skills to boosting confidence and exam preparedness, the benefits are manifold. By incorporating regular practice of important questions into their study routine, students can enhance their performance in Maths and achieve success in their exams.

How to Solve Class 10th Maths Questions to Score More Marks?

Scoring more marks in class 10th Maths requires a strategic approach to problem-solving. By following certain tips and techniques, students can improve their understanding of concepts and tackle questions more effectively. Let's explore some strategies on how to solve class 10th Maths questions to score more marks.

Firstly, understanding the concepts thoroughly is essential. Before attempting any question, make sure to grasp the underlying concepts and principles. Pay attention to your class lectures, consult your textbooks, and clarify any doubts with your teacher. A strong foundation in basic concepts lays the groundwork for solving more complex problems with ease.

Next, practice regularly. Regular practice is key to mastering Maths. Set aside dedicated time each day to solve math problems and revise concepts. Solve a variety of questions covering different topics and difficulty levels. Practice not only improves your problem-solving skills but also enhances your speed and accuracy.

Furthermore, familiarize yourself with the exam pattern and question format. Review previous years' question papers to understand the types of questions asked in the exam. Pay attention to the marking scheme and weightage of each topic. Focus your efforts on topics that carry more marks and practice solving questions accordingly.

Show all your steps and workings clearly to earn partial marks, even if your final answer is incorrect. Moreover, learned and memorized important formulas and theorems. Formulas play a crucial role in solving math problems, so make sure to memorize them thoroughly. Create flashcards or mnemonic devices to help you remember formulas more easily. Understanding when and how to apply each formula is equally important, so practice using them in different contexts.

Additionally, review your work carefully before submitting your answer sheet. Correct any mistakes or errors that you find to avoid unnecessary deductions. In conclusion, scoring more marks in class 10th Maths requires a combination of understanding concepts, regular practice, strategic problem-solving, and effective time management.

Why is eSaral the Best Platform for Class 10 Maths Online Classes?

eSaral is an excellent choice for class 10 Maths online classes due to several reasons. Here's why it's the best platform:

  • Quality Content: eSaral offers top-notch study materials, including video lectures, notes, and practice questions, all designed by expert educators. These materials cover the entire class 10 Maths syllabus comprehensively, ensuring that students get a thorough understanding of each topic.
  • Interactive Learning Experience: The platform provides an interactive learning experience through engaging video lectures. These lectures simplify complex mathematical concepts, making them easy to understand for students of all proficiency levels. Additionally, students can ask doubts and interact with teachers in real time, fostering a conducive learning environment.
  • Personalized Learning: eSaral understands that each student has unique learning needs and pace. Therefore, it offers personalized learning solutions tailored to individual students. Through diagnostic tests and adaptive learning algorithms, the platform identifies areas of improvement for each student and provides customized study plans to address their weaknesses effectively.
  • Exam Preparation: eSaral offers comprehensive exam preparation resources to help students excel in their class 10 Maths exams. From practice tests and mock exams to previous years' question papers and sample papers, the platform equips students with all the necessary tools to ace their exams with confidence.
  • Accessible Anytime, Anywhere: With eSaral, students can access class 10 Maths lessons and study materials anytime, anywhere, as long as they have an internet connection. This flexibility allows students to study at their own pace and convenience, eliminating the need for rigid schedules and physical classrooms.
  • Affordable Pricing: Despite offering high-quality education, eSaral's online classes are affordable and accessible to students from all economic backgrounds. The platform offers various subscription plans and payment options to suit different budgets, ensuring that no student is left behind due to financial constraints.
  • Track Progress: eSaral provides students with tools to track their progress and performance accurately. Through detailed analytics and progress reports, students can monitor their strengths and weaknesses, identify areas needing improvement, and adjust their study strategies accordingly.
  • Additional Resources: Apart from class 10 Maths lessons, eSaral offers a plethora of additional resources to enrich students' learning experience. These include concept maps, revision notes, formula sheets, and mnemonic tricks, which aid in better retention and understanding of mathematical concepts.
  • Experienced Faculty: eSaral boasts a team of experienced and qualified faculty members who are experts in their respective fields. These educators employ innovative teaching methodologies and strategies to make learning Maths enjoyable and engaging for students.
  • Proven Track Record: Finally, eSaral has a proven track record of helping students achieve academic success in class 10 Maths and beyond. Countless testimonials and success stories from satisfied students and parents attest to the platform's effectiveness in delivering quality education and producing excellent results.

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now