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CBSE Class 12 Maths Previous Year Question Papers Solutions 2016
CBSE Class 12 Maths Previous Year Question Papers Solutions 2016: Students must solve the previous year’s Maths question paper in Class 12 to achieve their desired results in the CBSE board exams. The topics one learns in CBSE Class 12 are eventually applied to a variety of higher-level concepts in other courses. Therefore, students who want to major in Mathematics must achieve good marks in their Maths exam.
To accomplish their goals, students must solve the Maths previous year question papers Class 12 with solutions. Even though it is a scoring subject, Mathematics requires diligent practice. Students would benefit from practising the CBSE Class 12 Maths previous year question papers. Additionally, they become familiar with the format and marking scheme of the board exams. Some of the questions from these previous year’s Maths question paper Class 12 can be asked in the exams too. Continue reading this article to learn more.
CBSE Class 12 Maths Previous Year Question Papers 2016: Exam Overview
It is very important for students to go through the previous year’s question paper in Class 12 Maths to score well in the exams. Here, on Embibe, we offer the CBSE Class 12 Maths previous year question papers solutions 2016 to help students with their exam preparation.
However, before we jump into further details, let us have an overview of the CBSE board exam:
| CBSE Class 12 Events | Highlights |
| Exam Name | CBSE Board Senior Secondary Examination 2022 |
| Conducting Body | Central Board of Secondary Education |
| Exam Date for Term I | November/December |
| Exam Date for Term 2 | April 26 to June 15, 2022 |
| Official Website | cbse.gov.in |
CBSE Class 12 Maths Question Paper 2016 with Solutions: Free PDFs
We have provided the direct links to download the CBSE Class 12 Maths question paper 2016 with solutions on this page to help students enhance their problem-solving skills. By solving the CBSE Class 12 Maths previous year question papers solutions 2016, students will also learn the correct approach to solve the questions.
Solving the previous year’s papers help students solve the question paper in a time-bound manner. However, before we move any further, refer to the links below to download the Maths previous year question papers Class 12 with solutions PDF:
| Question Papers with Solutions | Direct Links |
| Maths Previous Year Question Paper 2016 | Download |
| Maths Previous Year Question Paper 2016 with Solutions | To be available soon |
CBSE Class 12 Maths Syllabus 2022
Students must be well-versed with the Maths syllabus before moving on to solving the CBSE Class 12 Maths question paper 2016 PDF with solutions. The detailed Maths syllabus is tabulated below:
| Chapters | Important Topics |
| Relations and Functions | Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. |
| Inverse Trigonometric Functions | Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. |
| Matrices | Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Oncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). |
| Determinants | Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix. |
| Continuity and Differentiability | Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second-order derivatives. |
| Applications of Derivatives | Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). |
| Integrals | Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. |
| Applications of the Integrals | Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses |
| Differential Equations | Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation. |
| Vectors | Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. |
| Three – dimensional Geometry | Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines. |
| Linear Programming | Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems. graphical method of solution for problems in two variables, feasible and infeasible regions (bounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| Probability | Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable. |
CBSE Class 12 Maths Exam Pattern 2022
Below we have provided the combined CBSE Class 12 Maths exam pattern and the chapter-wise marking scheme:
| No. | Units | No. of Periods | Marks |
| I. | Relations and Functions | 30 | 8 |
| II. | Algebra | 50 | 10 |
| III. | Calculus | 80 | 35 |
| IV. | Vectors and Three-Dimensional Geometry | 30 | 14 |
| V. | Linear Programming | 20 | 5 |
| VI. | Probability | 30 | 8 |
| – | Total | 240 | 80 |
| – | Internal Assessment | – | 20 |
CBSE Class 12 Maths Question Paper Design
Below we have provided the CBSE Class 12 Maths question paper design to make students familiar with the entire paper pattern:
| S.No. | Typology of Questions | Total Marks | % Weightage |
| 1 | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate an understanding of facts and ideas by organising, comparing, translating, interpreting, giving descriptions, and stating main ideas | 44 | 55 |
| 2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 20 | 25 |
| 3 | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, the validity of ideas, or the quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 16 | 20 |
| Total | 80 | 100 |
Benefits of CBSE Class 12 Maths Previous Year Question Papers Solutions 2016
Some of the benefits of solving CBSE Class 12 Maths previous year question papers 2016 with solutions are mentioned below:
- Students who solve previous year’s Maths question papers in Class 12 gain confidence about the exam as they grasp the ability to solve questions with ease.
- Students also get to track their progress while solving the CBSE Class 12 Maths question paper 2016 PDF with solutions.
- Students learn about their strengths and weaknesses and get to work on them to score higher marks in the board exam.
- Students learn the difficulty level of the exam after solving the CBSE Class 12 Maths question paper 2016 with solutions.
- Class 12 students must practice the Class 12 CBSE Maths previous year question paper to be thorough with the basic concepts explained in the chapters.
FAQs on CBSE Class 12 Maths Previous Year Question Papers Solutions 2016
Some of the frequently asked questions on CBSE Class 12 Maths previous year question papers solutions 2016 are mentioned below:
Q.1: Where can I download the CBSE Class 12 Maths previous year question paper from 2016?
Ans: Students can download the CBSE Class 12 Maths 2016 previous year question paper from this page.
Q.2: Can I download the CBSE Class 12 Maths previous year question papers solutions 2016 for free?
Ans: Yes, students can download the CBSE Class 12 Maths previous year question papers solutions 2016 for free on Embibe.
Q.3: Can I score well after solving the previous year’s question papers?
Ans: Students can definitely score well after going through the previous year’s question papers as it enhances their problem-solving skills.
Q.4: Is Embibe a great platform to prepare for CBSE board exams?
Ans: Yes, Embibe offers various study material, detailed plans, and much more to help students score well in the CBSE board exams.
Q.5: Where can I find the detailed Maths syllabus for CBSE Class 12?
Ans: Students can find the detailed Maths syllabus for CBSE Class 12 on Embibe.
Attempt 12th CBSE Exam Mock Tests
Also Check:
| CBSE Class 12 Syllabus: Download 2022-23 PDF | CBSE Class 12 Board Exam Preparation 2022: Get Expert Tips |
| CBSE Class 12 Notes: Download Free PDF | CBSE Class 12 Exam Analysis 2022: Term 1 And Term 2 Papers |
We hope this detailed article on CBSE Class 12 Maths Previous Year Question Papers Solutions 2016 has been helpful to you.
Stay tuned to Embibe for such informative articles. Happy learning!
