As students of CBSE class 10 will be writing their Maths exam tomorrow, they would be searching for all important resources for the last minute preparations. At this time students are advised to practice more and more questions from all important topics which they have already covered. The more you solve Maths problems, more confidence you will gain towards your achievement of scoring high in the exam. Students should go through the latest CBSE sample paper and try to solve the same under the examination like conditions. As your Maths paper will be based on the similar format as followed in the CBSE Exam, solving the CBSE Class 10 Maths sample paper will help you prepare for writing the exam in a planned way.
We are providing here the CBSE Class 10 Maths Sample Paper along with its marking scheme as released by the board. Check the CBSE sample paper to know the chapter-wise weightage and division of long, short and very short answer type questions for Class 10 Maths Exam 2019.
Inside CBSE Sample Paper for Class 10 Mathematics Exam 2019:
- The question paper consists of 30 questions divided into four sections A, B, C and D.
- Section A contains 6 questions of 1 mark each.
- Section B contains 6 questions of 2 markseach.
- Section C contains 10 questions of 3 marks each.
- Section D contains 8 questions of 4marks each.
- There is no overall choice. However, an internal choice has been provided in four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions.
- Total time allowed: 3 Hours
- Maximum Marks: 80
CBSE Class 10 Mathematics Previous Years' Solved Question Papers (2010-2018)
A few sample questions from the CBSE Class 10 Mathematics sample paper 2019 are given below:
Q. Find the value of a, for which point P(a/2, 2) is the mid-point of the line segment joining the points (-5,4) and R(-1,0).
Q. Find the value(s) of k for which the equation x^{2} + 5kx + 16 = 0 has real and equal roots.
Q. Find the value of k, for which one root of the quadratic equation kx^{2} – 14x + 8 = 0 is 2.
Q. If nth term of an A.P. is (2n+1), what is the sum of its first three terms?
Q. The HCF and LCM of two numbers are 9 and 360 respectively. If one number is 45, find the other number.
Q. Places A and B are 80 km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in same direction they meet in 8 hours and if they move towards each other they meet in 1 hour 20 minutes. Find the speed of cars.
CBSE Class 10 Mathematics Solved Sample Paper 2019
Q. The points A(1,-2) , B(2,3), C (k,2) and D(-4,-3) are the vertices of a parallelogram. Find the value of k.
Q. Find the value of k for which the points (3k-1, k-2), (k, k-7) and(k-1, -k-2) are collinear.
Q. The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and intersecting the larger circle at P on producing. Find the length of AP.
Q. In ∆ABC, if AD is the median, then show that AB^{2 }+ AC^{2} = 2(AD^{2}+BD^{2})
Q. Water is flowing at the rate of 15 km per hour through a pipe of diameter 14cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tank will rise by 21 cm.
To download the complete CBSE Class 10 Maths sample paper and its marking scheme click on the following links:
Also go through the CBSE Class 10 Topper’s Answer Sheet for Mathematics Paper 2018 to learn the criteria followed by CBSE toppers in writing their Board Exam.
CBSE Class 10 Maths Exam 2019: Last Minute Preparation Tips By Experts
Analysis of CBSE Class 10 Maths Sample Paper 2019:
After carrying a thorough analysis of the CBSE Class 10 Maths Sample Paper, we formulated the chapter-wise weightage, i.e., the marks for which questions were asked from each chapter of Class 10 Maths.
Chapter Name |
Weightage |
1. Real Numbers |
6 |
2. Polynomials |
3 |
3. Pair of Linear Equations in Two Variables |
2 |
4. Quadratic Equations |
8 |
5. Arithematic Progressions |
7 |
6. Triangles |
8 |
7. Coordinate Geometry |
6 |
8. Introduction to Trigonometry |
8 |
9. Some Applications of Trigonometry |
4 |
10. Circles |
3 |
11. Constructions |
4 |
12. Areas related to Circles |
3 |
13. Surface Areas and Volumes |
7 |
14. Statistics |
7 |
15. Probability |
4 |
Check CBSE Class 10 Maths Blue Print 2019
In order to make your revision sessions before exams more effective, you must be aware of the blueprint of class 10 Maths subject. CBSE blueprint for Maths will help you in properly planning your studies according to the weight allotted to different units of class 10 Maths. It will give you a detailed idea of what is important and what needs to be prepared with more attention. This will save your time and will help you in achieving the maximum score in your CBSE Exam 2019.
Given below is the CBSE blue print for class 10 Maths:
Unit No. |
Unit Name |
Marks |
1. |
Number System |
06 |
2. |
Algebra |
20 |
3. |
Co-ordinate Geometry |
06 |
4. |
Geometry |
15 |
5. |
Trigonometry |
12 |
6. |
Mensuration |
10 |
7. |
Statistics and Probability |
11 |
Total Marks |
80 |
Check CBSE Class 10 Mathematics Solved Guess Paper 2019 to test yourself for important concepts and topics of class 10 Maths.
Why to solve CBSE Class 10 Maths Sample Paper?
Class 10 Maths sample paper that released by the board is designed to reveal the board questions paper format and the type of questions to be asked in the upcoming board exam. This is a perfect source to gain the insight of the real question paper so that a student is able to create the right preparation strategy to write the perfect exam. Also the marking scheme provided by the board helps to get an idea of about how to include right key points in your answers and score high marks.
After going through the CBSE sample paper, you will easily understand the change in the examination structure that was introduced from last session, i.e., 2017-2018. This sample paper will give you an overview of the question paper which you will see in the Board Exam 2019.
To get more of such useful articles for CBSE Class 10 Board Exam preparations, click on the following links:
- CBSE Class 10 Mathematics Exam 2019: Important questions with solutions
- CBSE Class 10 Board Exam 2019: Sample Papers and Marking Schemes of all subjects
- CBSE Class 10 Syllabus 2018-2019: All Subjects
- CBSE Class 10 Board Examination 2018: Question papers of all subjects
- CBSE Class 10 Board Exam 2019: Exam Pattern and Question Paper Design for All Subjects