ISC 12th Mathematics Sample Papers PDF Download

Maths has never been easy, especially to those who do not like to study. Well! dear students life is full of miseries and you will have to live with it, then why not to tackle these miseries with full energy and dedications.

Life will always be difficult if you do not live it with all your passion, and same is the case with maths. If you don’t do it with all your interest and passion then you will always feel the same way.

ISC 12th Mathematics Sample Papers

Anyway, since the final exams of 12th are close therefore it’s obvious that you must be looking for the 12th maths sample paper and other practice papers, and that is what this whole article is all about. Also, if you want, then you can download ISC 12th Maths previous years papers.

Benefits of practicing ISC 12th Maths sample papers

First of all, the link to download the latest sample and model papers are given at the top of this article, just click on the link. You must have a pdf reader in order to open the given pdf files.

Warning: use of the pdf files given in this article in your blog or website is strictly prohibited. If needed then the link of this page can be given.

If you are having any difficulty downloading the pdf files then please let us know about it by commenting. Our team will respond in no time.

Now coming back to the question what benefit will you get by practicing the sample papers? the answer is very simple, it will prepare you for the exam in the best way. There are lots of benefits of sample papers or any other practice paper.

Firstly, you get familiar to question papers which will make you more comfortable on the day of the exam, they give a very good idea of all the important question chapter wise and formulas. Also, they will improve your question-solving instincts and speed which will save you a lot of time.

You know what else will save your time? android apps for 12th students that are specially designed to help students prepare for their exams.

ISC 12th Maths latest paper pattern and format

This is how the paper is going to come in you final exam this time.

The question paper will be divided into 3 sections namely A, B, and C. The paper will be of total 100  marks and you will get 3 hours to complete the paper.

Section A:- This is the main section out of all the three. You will see total 9 questions here, out of 9 you are to attempt total 6 questions. You will have to attempt the first question i.e question no. 1 as it is compulsory, but you can choose any of the 5 questions from remaining 8 questions. This section will be of total 80 marks.

You can choose to answer any one of the section B and section C i.e you will only have to attempt only one section. There will be three questions in each section of equal marks and you will need to attempt any 2 question. The 2 questions that you will attempt will be of 20 marks in total.

So this is the pattern in which the questions will be asked in the exam. Now you can prepare yourself according to this format.

12th ISC Maths complete syllabus

I am sure you do know your syllabus, but still here is a brief list of chapters and their topics to make it easy for you to make your studying strategies.

Unit 1 – Determinants and Matrices: There will be 2 chapters in this unit first one is Determinants and matrices.

Determinants:- Order, Minors, Cofactors, Expansion, Properties of determinants and Simple problems using properties of determinants. And the second chapter will be Matrices.

Unit 2 – Boolean Algebra:- Boolean algebra as an algebraic structure, principle of duality, Boolean function. Switching circuits, application of Boolean algebra to switching circuits.

Unit 3 – Conics:- Parabola, Ellipse and Hyperbola

Unit 4 – Inverse Trigonometric Function

Unit 5 – Calculus:- Differential Calculus, Integral Calculus.

Unit 6 – Correlation and Regression: – Definition and meaning of correlation and regression coefficient, Coefficient of Correlation by Karl Pearson, Rank correlation by Spearman’s (Correction included), Lines of regression of x on y and y on x.

Unit 7 – Probability: – Random experiments and their outcomes. Events: sure events, impossible events, mutually exclusive events, independent events and dependent events.
Definition of probability of an event.
Laws of probability: addition and multiplication laws, conditional probability (excluding Baye’s theorem).

Unit 8 – Complex Numbers: – Argument and conjugate of complex numbers.
Sum, difference, product and quotient of two complex numbers additive and multiplicative inverse of a complex number.
Simple locus question on complex number;
Triangle inequality.
Square root of a complex number.
Demoivre’s theorem and its simple applications.
Cube roots of unity: 1,ω,ω2; application problems.

Unit 9 – Differential Equations: – Differential equations, order and degree, Solution of differential equations, Variable separable, Homogeneous equations and equations reducible to homogeneous form, Linear form.

Unit 10 – Vectors: – Scalar (dot) product of vectors, Cross product, collinear vectors, Scalar triple product, co-planarity.

Unit 11 – Co-ordinate Geometry in 3-Dimensions:-

Lines: – Cartesian and vector equations of a line through one and two points, Coplanar and skew lines, Conditions for intersection of two lines, Shortest distance between two lines.

Planes: – Cartesian and vector equation of a plane, Direction ratios of the normal to the plane, One point form, Normal form, Intercept form, Distance of a point from a plane, Angle between two planes, a line and a plane, Equation of a plane through the intersection of two planes.

Unit 12 – Probability: – Baye’s theorem: theoretical probability distribution, probability distribution function, binomial distribution.

Unit 13 – Discount: – True discount, banker’s discount, discounted value, present value, cash discount, bill of exchange.

Unit 14 – Annuities: – Meaning, formulae for present value and amount, deferred annuity, applied problems on loans, sinking funds, scholarships.

Unit 15 – Linear Programming:- Introduction, definition of related terminology such as constraints, objective function, optimization, isoprofit, isocost lines, advantages of linear programming, limitations of linear programming, application areas of linear programming, different types of linear programming (L.P.), problems, mathematical formulation of L.P problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimum feasible solution.

Unit 16 – Application of derivatives in Commerce and Economics: – Cost function, average cost, marginal cost, revenue function and break even point.

Unit 17 – Index numbers and moving averages: – Price index or price relative, Simple aggregate method, Weighted aggregate method, Simple average of price relatives, Weighted average of price relatives.

So this is the syllabus, hope you will make the maximum use of the sample papers that are given in this article. Best of luck for final exam.

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2 Comments
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  1. I am interested in 12th ISC Maths Compete Syllabus

    1. Prof. Rajeev Mehra

      Hello Dinesh,
      Click here to know about the ISC Mathematics Complete syllabus.

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