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CBSE Class 10 Maths Important Questions

CBSE

Class 10 Important Question

Maths

CBSE Class 10 Maths Important Questions and Answers - FREE PDF Download

Vedantu offers a comprehensive collection of important questions for CBSE Class 10 Maths, designed to help students excel in their studies. These questions cover key concepts outlined in the CBSE Class 10 Maths syllabus, ensuring that students focus on the most relevant topics for their exams. With clear explanations and practice problems, this resource is perfect for reinforcing understanding and building confidence.

Table of Content

1. CBSE Class 10 Maths Important Questions and Answers - FREE PDF Download

2. CBSE Class 10 Maths Chapter-wise Important Questions

3. 10 Most Important Questions From Class 10 Maths Chapters

4. How do Maths Important Questions Class 10 Help you with Exams?

5. Additional Study Materials for Class 10 Maths

FAQs

By working through these important questions, students can identify areas where they need improvement and strengthen their skills. Vedantu’s approach makes learning engaging and effective, allowing students to prepare thoroughly for their exams and achieve better results. Whether for revision or practice, these important questions are a valuable tool for success in Class 10 Maths.

CBSE Class 10 Maths Chapter-wise Important Questions

CBSE Class 10 Maths Chapter-wise Important Questions and Answers cover topics from all 14 chapters, helping students prepare thoroughly by focusing on key topics for easier revision.

S.No.	Chapter-wise Important Questions for Class 10 Maths
1	Chapter 1 - Real Numbers Questions
2	Chapter 2 - Polynomials Questions
3	Chapter 3 - Pair of Linear Equations in Two Variables Questions
4	Chapter 4 - Quadratic Equations Questions
5	Chapter 5 - Arithmetic Progressions Questions
6	Chapter 6 - Triangles Questions
7	Chapter 7 - Coordinate Geometry Questions
8	Chapter 8 - Introduction to Trigonometry Questions
9	Chapter 9 - Some Applications of Trigonometry Questions
10	Chapter 10 - Circles Questions
11	Chapter 11 - Areas Related to Circles Questions
12	Chapter 12 - Surface Areas and Volumes Questions
13	Chapter 13 - Statistics Questions
14	Chapter 14 - Probability Questions

10 Most Important Questions From Class 10 Maths Chapters

Below are 10 important questions from Class 10 Maths chapters that are important for preparing well and understanding concepts easily.

1. Prove that $\sqrt{2}$ is an irrational number.

Ans: Assume $\sqrt{2} = \frac{p}{q}$ (in simplest form). Then $2 = \frac{p^2}{q^2}$ or $p^2 = 2q^2$. This means $p^2$ is even, so p is even. Let p = 2k. Then $4k^2 = 2q^2$ or $q^2 = 2k^2$, implying q is even. Thus, both p and q are even, contradicting the assumption. Hence, $\sqrt{2}$ is irrational.

2. Find the zeros of the polynomial $p(x) = x^2 - 5x + 6$.

Ans: Factor p(x) as (x - 2)(x - 3) = 0. The zeros are x = 2 and x = 3.

3. Solve 2x + 3y = 12 and x - y = 1.

Ans: From x - y = 1, x = y + 1. Substituting in the first equation gives 5y + 2 = 12 $\implies$ y = 2 and x = 3.

Therefore, the point is (3, 2).

4. Solve $x^2 - 7x + 10 = 0$.

Ans: Factor as (x - 2)(x - 5) = 0. Solutions are x = 2 and x = 5.

5. Find the 15th term of the AP where a = 5 and d = 3.

Ans: $(a_{15} = a + (n-1)d = 5 + 14 \cdot 3 = 5 + 42 = 47$.

6. Prove that the sum of the angles in a triangle is 180 degrees.

Ans: Extend one side of the triangle and draw a parallel line through the opposite vertex. The alternate interior angles add up to show that the angles sum to 180°.

7. Show that the diagonals of a parallelogram bisect each other.

Ans: In parallelogram ABCD, triangles AOB COD are congruent, leading to AO = OC and BO = OD, proving the diagonals bisect each other.

8. Calculate the area of a triangle with base 10 cm and height 6 cm.

Ans: Area = $\dfrac{1}{2} \times \text{base} \times \text{height} = \dfrac{1}{2} \times 10 \times 6 = 30 \text{cm}^2$.

9. Find the volume of a cylinder with radius 7 cm and height 10 cm.

Ans: Volume = $\pi r^2 h$ = $\pi (7^2)(10) $= 490$\pi$$ \text{cm}^3 \approx 1539.6$ $ \text{cm}^3) $.

10. Find the mean of the data: 5, 8, 10, 15, 20, 25.

Ans: We know that Mean = $\dfrac{Sum of all observations}{Total number of observations}$

Substitute the given data

Mean = $\dfrac{5 + 8 + 10 + 15 + 20 + 25}{6} = \frac{83}{6} \approx 13.83$.

Here are some important questions for Class 10 Maths. To get a better understanding of each chapter, check the Chapter-wise Important Questions table. This resource will help you understand the key ideas and study well for your exams.

How do Maths Important Questions Class 10 Help you with Exams?

Class 10 Maths Important Questions highlight the main topics in each chapter. By studying these, you can concentrate on what matters most, making your study time more effective.
Solving these important questions helps you practise on different types of problems. This builds your confidence and improves your skills for the actual exam.
Practising with important questions helps you learn how to manage your time during the exam. You’ll get used to answering questions more quickly and efficiently.
Important questions often reflect the types of questions you may see on the exam. Familiarity with these can reduce surprises on exam day, making you feel more prepared.
Regular practice with important questions improves your confidence. The more comfortable you become with these types of problems, the more self-assured you’ll feel during the exam.

Class 10 Maths Important Questions by Vedantu are essential for effective exam preparation. They guide students to focus on the most relevant topics and enhance their problem-solving skills. By regularly practising these questions, students not only build confidence but also develop a clearer understanding of concepts. This resource encourages active learning and helps identify weaknesses that can be improved upon. Ultimately, using these important questions can lead to better exam results and a stronger understanding of Maths, making study sessions more productive.

Additional Study Materials for Class 10 Maths

S.No.	Study Materials for Class 10 Maths
1.	CBSE Class 10 Maths NCERT Solutions
2.	CBSE Class 10 Maths Revision Notes
3.	CBSE Class 10 Maths NCERT Book
4.	CBSE Class 10 Maths Previous year Question Paper
5.	CBSE Class 10 Maths Sample Papers
6.	CBSE Class 10 Maths RD Sharma Solutions
7.	CBSE Class 10 Maths RS Aggarwal Solutions
8.	CBSE Class 10 Maths Formulas
9.	CBSE Class 10 Maths NCERT Exemplar Solutions

FAQs on CBSE Class 10 Maths Important Questions

1. Give the List of all the Chapters in class 10 Maths Book.

The Class 10 Maths book has been divided into 15 different chapters and is designed as per the CBSE Class 10 Maths syllabus. These chapters are 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: Areas Related to Circles, Chapter 12: Surface Areas and Volumes, Chapter 13: Statistics, Chapter 14: Probability.

2. How are the Important Questions For Maths Class 10 Helpful in Studies?

Class 10 Important Questions Maths are the most crucial piece of study material that will help the students to secure better grades. By practising the questions given in the PDF, a student can understand the chapters in the easiest way possible. These questions are meant to reduce the difficulty faced by many CBSE students in the subject. The Important Maths Questions PDF comes with the answers to the various questions that are given in the Class 10 Maths book.

3. How Vedantu’s important questions help us in scoring good marks in the examination?

All our important questions are framed by our subject matter experts of maths and they have given every part of the chapter along with the exercise questions which are mentioned at the end of the chapter. Our Solutions for Class 10 Maths will explain to you all the necessary major points of the chapter.

This will basically help you in building up a strong foundation of the subject and eventually you can also improve your grades with it. The solutions provided by us will help in revision before the examination. These work as last-minute study notes for your examination which could be seen just before the exam to memorise all the key points.

4. Why should students use Class 10 Maths important questions?

Class 10 is a pivotal class for every student. To outshine this grade with excellent results, students try their best to imbibe every concept. In math, there are a number of important concepts that must be grasped in order to achieve good scores in the board exams. Along with the principles, students must be aware of the key questions that may be asked in tests. Therefore, to comprehend and practise the concepts thoroughly, students use important questions as the medium to strengthen their concepts. You can avail all this and more free of cost at Vedantu website

5. Which are the most important chapters in Class 10 Maths?

Class 10 Maths has a variety of chapters that are quite important for a 10th grader. These chapters are not only useful for Class 10, but those students who are planning to continue their higher studies with Maths must know that these chapters will be crucial for them also. The chapters that fall within the Algebra, Trigonometry, and Geometry units should be given special attention. These three units relatively carry more weightage of marks. And thus, these chapters are considered to be very important ones. At Vedantu, you will find complete NCERT solutions for all chapters and subjects to make learning effortless.

6. Is Class 10 Maths difficult?

Class 10 Maths could be tough for many of the students. But the difficulty level of this subject can be brought down if students try to add some rules to their learning process. Do not mug up everything that you see. Maths should be understood well in order to make it interesting. Pick out the chapters that trouble you the most and start learning them. Solve the questions provided in the NCERT Maths textbook and practice sample papers regularly.

7. How can I top in Class 10 Maths?

Students make a huge deal out of Class 10 boards, but with the correct approach, you can easily crack the board exam with amazing marks. Following basic preparation techniques will make math one of your favourite subjects in no time. Focus on each chapter and prepare them thoroughly using NCERT books. Sample papers and previous years' papers can be of great help to you. Make notes while you practise every chapter and revise them regularly. Give at least two-three hours to study Maths every day.

8. What type of questions are asked in class 10 maths?

Class 10 maths questions test your understanding of concepts, formulas, and applications in algebra, geometry, trigonometry, and statistics.

9. What is the most important topics in mathematics class 10?

Important topics include polynomials, coordinate geometry, quadratic equations, trigonometry, and mensuration.

10. How can I pass my 10th maths exam?

Regularly practice problems, focus on understanding concepts, address weak areas, and take mock tests.

11. What is the toughest chapter in Maths 10?

The "toughest" chapter varies based on individual strengths, but complex numbers and probability are often mentioned.

12. Which topic is easy in maths?

Difficulty is subjective, but linear equations and statistics are generally considered easier.