Important Questions for CBSE Class 10 Maths

Important Questions for CBSE Class 10 Maths:- Mathematics is a subject that requires a solid understanding of both formulas and concepts. It's not enough to just memorise them – students need to know how to apply them in different situations. Practising regularly is one of the best ways to improve the preparation for the CBSE Class 10 Maths exam. 

By working through various maths questions for Class 10, students will get a better understanding of key concepts and sharpen their problem-solving skills. Focusing on important questions for Class 10 Maths helps students get familiar with the kinds of problems that often appear in the exam, making students feel more prepared and confident.

Check out: CBSE Class 10th Books

Important Questions for Class 10 Maths

1. The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7. Find the numbers.

2. Find the sum of integers between 100 and 200 which are (i) divisible by 9 (ii) not divisible by 9.

3. A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car changes from 30o to 45o in 12 minutes, find the time taken by the car now to reach the tower.

4. In Fig., O is the centre of a circle of radius 5 cm. T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is a tangent to the circle at E, find the length of AB, where TP and TQ are two tangents to the circle. 

5. From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.

6. A game of chance consists of spinning an arrow on a circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 (Fig.), which are equally likely outcomes. What is the probability that the arrow will point at (i) an odd number (ii) a number greater than 3 (iii) a number less than 9.

7. In a class test, marks obtained by 120 students are given in the following frequency distribution. If it is given that mean is 59, find the missing frequencies x and y.

 

8. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm. Find the total surface area of the article.

9. A chord PQ of a circle of radius 10 cm subtends an angle of 60° at the centre of circle. Find the area of major and minor segments of the circle.

10. At a point A, 20 metres above the level of water in a lake, the angle of elevation of a cloud is 30 degree . The angle of depression of the reflection of the cloud in the lake, at A is 60 degree . Find the distance of the cloud from A.

Also check: CBSE Class 10th Sample Papers

Important Questions for CBSE Class 10 Maths PDF

Physics Wallah has brought students the Important Questions for Class 10 Maths PDF, a valuable resource to help students prepare effectively for their upcoming exams. This PDF is packed with crucial maths questions for Class 10, carefully selected to cover all the important topics.

 By practising these maths important questions, students will gain a deeper understanding of key concepts and improve their problem-solving skills. Whether students are revising or practising for the exam, this PDF will serve as a great resource to guide them with their preparation. Don’t miss out on this opportunity to enhance 2025 exam preparation with Physics Wallah's expertly curated questions for Class 10 Maths!

Important Questions for CBSE Class 10 Maths PDF

Study Tips on CBSE Class 10 Maths

Mathematics is a subject that often seems tough to most students, but with the right approach, student can do well in studentr Class 10 Maths 2024-25 exam. Here are some simple and practical tips to help student prepare:

1. Know Students Syllabus
   Start by going through the CBSE Class 10 Maths syllabus. This will help student understand what student need to study. Pay extra attention to the chapters that are more important.

2. Make a Study Plan
   Create a study timetable to organise students time for different topics. Spend more time on areas that they find tricky and less time on topics student already understand. Stick to the plan to stay on track.

3. Practice Regularly
   Math needs a lot of practice. Solve as many problems as student can from the NCERT book, since these are closely linked to students exams. Once they are comfortable with them, try other books like PW CBSE Class 10 Question Banks or PW Sample papers.

4. Understand, Don’t Memorise
   It's better to understand the concepts rather than just memorise them. Make sure student understand how formulas work and how to use them in different problems. This will help them tackle any question, even if it’s a bit different from what students’ve practised.

5. Focus on Important Chapters
   Some chapters carry more weight in the exam. Topics like Algebra (Polynomials, Quadratic Equations), Geometry (Triangles, Circles), Trigonometry, and Statistics are often asked. Spend extra time on these chapters.

6. Solve Past Year Papers
   Solving past year papers helps students get familiar with the exam format and the types of questions that come up. It also shows them which topics are frequently tested. Try solving these papers within the time limit to improve their speed.

7. Create a Formula Sheet
   Prepare a sheet with all the important formulas. This will make it easier to revise, especially in the days leading up to the exam. Make sure to review it regularly so the formulas stay fresh in students mind.

8. Take Mock Tests
   Mock tests are a great way to check how well student’re doing. Take them under exam-like conditions to see how student manage their time. After the test, go over the answers to see where student can improve.

9. Work on Weak Areas
   If student're struggling with a particular topic, spend more time on it. Whether it’s Trigonometry, Algebra, or Geometry, regular practice will help. Don’t hesitate to ask the teacher or classmates for help if needed.

Important Questions for Class 10 Maths FAQs

1. What is the best way to start preparing for CBSE Class 10 Maths?

Start by understanding the syllabus and marking scheme. Focus on key topics like Algebra, Geometry, and Trigonometry. Make a study plan and start with the basics, gradually increasing the difficulty level.

2. How can I improve my speed in solving Maths problems?

Regular practice is key to improving speed. Solve as many problems as possible, especially past-year papers and mock tests. 

3. Which are the most important chapters for Class 10 Maths?

Some of the most important chapters include Algebra (Polynomials, Quadratic Equations), Geometry (Triangles, Circles), Trigonometry, and Statistics. These chapters often carry more marks and are frequently asked in exams.

4. How should I approach Trigonometry for Class 10?

Understand the basic formulas and trigonometric identities thoroughly. Practice solving problems using these identities and try to apply them in different scenarios to strengthen students' understanding of the topic.

5. Can I skip topics in Class 10 Maths to save time?

It’s best not to skip any topics as each chapter builds on the previous one. Skipping topics could make it difficult to understand other concepts later. Prioritise difficult topics but don’t ignore any chapter completely.