CBSE Class 12 Maths Question Paper 2015 with Solutions - Free PDF

Unit-wise mark distribution for CBSE Class 12 Mathematics paper is listed below.

Important Topics Under Each Unit

1. Relations and Functions

This unit is divided into two subtopics: Relations and Functions and Inverse Trigonometric Functions. Relations types, Invertible functions, Composite of two functions and Inverse trigonometric function properties are the important concepts in this unit; learning and practising these concepts in this unit can solidly help you to add eight marks to the total in a very easy manner.

2. Algebra

This unit is divided into two subtopics: Matrices and Determinants. Matrices Multiplication, Properties of symmetric and skew-symmetric, Finding a matrix inverses using elementary transformation, determinant properties, matrix inverse and adjoint, and system of linear equations solutions are some of the important topics in algebra. This unit can be quite detail oriented; the chances of making silly mistakes are high. A clear understanding of concepts and regular practice can add ten marks to the total marks.

3. Calculus

This is the largest and unskippable chapter on the subject. Mastering this chapter can improve your total by 35 marks and help to improve your total by 43%. This chapter is divided into five subtopics: Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, and Differential Equations.

4. Vectors and Three Dimensional Geometry

This is the second most weightage chapter in CBSE Class 12 Mathematics which consist of 14 marks. This topic is divided into two subtopics: Vector Algebra and 3-D Geometry. This topic consists of definitions, vector properties and 3D properties.

5. Linear Programming

This is one of the easiest scoring chapters in CBSE Mathematics. This chapter will be a key player in scoring the additional five marks to reach the full score.

6. Probability

This chapter consists of theorems, events, variables and distribution. It has a weightage of eight marks for the CBSE Board Exam. Multiplication theorem, conditional probability, Baye’s theorem, Bernoulli’s theorem and Binomial Distribution are some of the important topics in this chapter.

Section-wise Mark Distribution for CBSE Class 12 Mathematics Paper is Listed Below.

Preparation Strategy for CBSE Class 12 Mathematics Board Exam 

To score more marks in the CBSE Class 12 Maths Board Exam, one must have a clear strategy and practice. 

• Understanding the question paper pattern and mark distribution is the first step of preparation. 

• Cover all the most important topics and more weightage topics first.

• Prepare a proper study timetable and stick to it.

• Make use of the best reference books to get a better understanding of concepts and practice a number of questions.

• After completing the syllabus, practice with the previous year question papers to understand the types of questions asked, analyse strengths and weaknesses, and improve time management.

• Make key-hand notes for theorems and formulas. This may be helpful for last-minute revision.

• Practice with more and more mock tests on a daily basis with a timer to enhance speed and timing. 

Exam Paper Analysis of CBSE Class 12 Maths Board Exam- 2015

The CBSE Class 12 Mathematics Board Exam- 2015 has a significantly higher difficulty and lengthy paper as reported by students. Students felt 70% of the questions were easy but the remaining 30% were extremely difficult. Most of the students felt that some questions were out of the syllabus. On an overall analysis of students’ points of view, this paper was quite difficult and hard to score more than 90 marks. We, at Vedantu, provide you with fully solved CBSE Class 12 Maths Question Paper-2015 for practice and mock tests. These tough level question papers can be extremely helpful for preparation and make us prepared for unexpected questions.