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ISC Class 12 Maths Syllabus For Semester (1 & 2) 20232024
Class 12 is a significant turning point in a student’s academic career because the Board test results determine their career path. Maths is a crucial subject and a substantial element of competitive Examinations, according to the ISC Class 12 Maths Syllabus, which includes several required courses that are an essential part of higher education. As a result, students should read thoroughly and carefully understand the ISC Class 12 Maths Syllabus.
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ToggleThis page will give you a comprehensive overview of the ISC Class 12th Maths Syllabus, including the weightage of each topic, along with some recommended books to provide further assistance.
ISC Class 12 Maths Syllabus 202324 – Semester (1 & 2)
The following is the unitbyunit marking scheme for the new ISC Class 12th Maths Syllabus:
S.No  Units  Weightage 
Â  Section A â€“ 65 Marks  Â 
1.  Relations and Functions  10 Marks 
2.  Algebra  10 Marks 
3.  Calculus  32 Marks 
4.  Probability  13 Marks 
Â  Section B â€“ 15 Marks  Â 
5.  Vectors  5 Marks 
6.  ThreeDimensional Geometry  6 Marks 
7.  Applications of Integrals  4 Marks 
Â  (OR) Section C â€“ 15 Marks  Â 
8.  Application of Calculus  5 Marks 
9.  Linear Regression  6 Marks 
10.  Linear Programming  4 Marks 
Â  Total  80 Marks 
Â  Â  Â 
To compensate for the loss of academic hours throughout this 20232024 session, the CISCE has worked with its subject specialists to modify and recreate the ISC Class 12 Maths Syllabus. The curriculum has been shortened while preserving the subject’s fundamental principles and maintaining a logical progression between Classes.
Access ISC Class 12 Maths Syllabus & Study Materials 202324
Many vital areas involving the application of formulas and concepts are built on a firm foundation of Maths. Differentiation, integration, and matrix are among the topics covered in the ISC Class 12 Maths Syllabus. As a onetime measure, CISCE has decided to shorten the ISC Class 12 Maths Syllabus for 20232024. The goal is to relieve stress caused by the present health crisis and close learning gaps. The Syllabus enables students to comprehend the course objectives and aids in the optimal planning of the test. Chapters and concepts are included in the Syllabus.
The complete Syllabus for the year 202324 session, along with a few other relevant links important for preparation purposes:
ISC Class 12 Maths – SyllabusÂ
ISC Class 12 Maths – TextbooksÂ
ISCÂ Class 12 Maths – Study Notes
ISC Class 12 Maths – Sample papersÂ Â
ISC Class 12 Maths Paper Pattern
The Maths theoretical test is of 80 marks, while Project Work is of 20 marks. These two sum up the final computations for the Board.Â
The ISC Maths Syllabus for Class 12 is divided into three sections: A, B, and C.
All candidates must complete Section A as it is compulsory. There are six questions in Section A (65 marks). The candidates must answer all questions. The internal choice will be divided into two twomark questions, two fourmark questions, and two sixmark questions.
Candidates will be able to choose whether to attempt questions from Section B or Section C. Section B / C (15 marks): Candidates must answer ALL questions from either Section B or Section C. Internally, there will be an option in one twomark Question and one fourmark Question.
ISC Class 12 Maths Blueprint 202324
The number of different sorts of questions in each part is listed below:
Section  Topics  Question Type  Marking  Number of Questions  Total Marks 
Â
Â Â Â Â Section A 
Â
Â Â Â Â Relation and Functions, Algebra, Calculus, and Probability 
MCQ & Question with oneliner Answers
Â Questions with the short answer I Â Questions with short answers II Â Questions with Long answers 
1 mark
Â Â Â Â 2 marks Â Â Â 4 marks Â Â Â 6 marks 
15 questions
Â Â Â Â 5 questions Â Â Â 4 questions Â Â Â 4 questions 
15 marks
Â Â Â Â 10 marks Â Â Â 16 marks Â Â Â 24 marks 
Â  Â  Total  Â  Â  65 marks 
Â
Â Â Â Section B 
Â
Â Vectors, Threedimensional Geometry, and application of integrals 
MCQ & Question with oneliner Answers
Â Questions with the short answer I Â Questions with short answers II 
1 mark
Â Â Â Â 2 marks Â Â Â 4 marks 
5 questions
Â Â Â Â 1 question Â Â Â 2 questions 
5 marks
Â Â Â Â 2 marks Â Â Â 10 marks 
Â  Â  Total  Â  Â  15 Marks 
(OR)  Â  Â  Â  Â  Â 
Â
Â Â Â Section C 
Â
Â Â Â Application of Calculus, Linear Programming, and Linear regression 
MCQ & Question with oneliner Answers
Â Questions with the short answer I Â Questions with short answers II Â Â 
1 mark
Â Â Â Â 2 marks Â Â Â 4 marks 
5 questions
Â Â Â Â 1 question Â Â Â 2 questions 
5 marks
Â Â Â Â 2 marks Â Â Â 10 marks 
Â  Â  Total  Â  Â  15 Marks 
Total  Â  Â  Â  Â  80 Marks 
Best Books for ISC Class 12 Maths Syllabus
The table below lists the best ISC Class 12 Maths Syllabus Preparation Books recommended by the ICSE Board –
Author  12th Maths books 
O.P. Malhotra, S.K. Gupta, Anubhuti Gangal  S. Chand’s ISC Maths Book II for Class XII Paperback 
M.L. Aggarwal  Understanding ISC Maths (Vol. I & II) Class XII Paperback 
C.B. Gupta  S. Chand’s ISC Commerce for Class XII Paperback 
Arihant Experts  All In One ISC Maths Class 12 Paperback 
R.D Sharma  Maths for Class 12 by R D Sharma (set of 2 volumes) 
R.S. Aggarwal  Senior Secondary School Maths for Class 12 Examination 
Oswaal  Oswaal Sample Question Paper Class 12 Maths 
Maths Examination Preparation Tips
Here are a few key pointers to remember as you prepare for your ISC Maths Board Examination:
 First and foremost, review the ISC Class 12 Maths Syllabus and Examination Pattern. Thoroughly study each topic in the books recommended by the school for the ICSE Board.
 Make sure you take notes that incorporate important facts during your study.Â
 Plan ahead of time for the most challenging and timeconsuming longform questions (56 marks) that are often asked from the Calculus or Probability sections. As a result, strive to refine them by practising them regularly.
 Take as many practise tests as possible. Practise until you’ve mastered that section.
 Take the sectionbysection Examination after you’ve completed each part to assess how well you’ve prepared and monitor the time as well.
ISC Mathematics Class 12 Syllabus
The syllabus is divided into three sections: A, B and C. Section A is compulsory for all candidates. You have a choice of attempting questions from either Section B or Section C. There is one paper of three hours duration of 80 marks.
Section A is of 65 marks and Section B or C is of 15 marks.
Section A
1. Relations and Functions
(i) Types of relations:Â reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, inverse of a function.
(ii) Inverse Trigonometric Functions
Definition, domain, range, principal value branch. Elementary properties of inverse trigonometric functions.
2. Algebra
Matrices and Determinants
(i) 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. Noncommutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restrict to square matrices of order upto 3). Invertible matrices and proof of the uniqueness of inverse, if it exists (here all matrices will have real entries).
(ii) Determinants
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
3. Calculus
(i) Continuity, Differentiability and Differentiation.
Continuity and differentiability, derivative of composite functions, chain rule, derivatives 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.
(ii) Applications of Derivatives
Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, 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 reallife situations).
(iii) 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.
(iv) 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 of the type: dy/dx + py = q, where p and q are functions of x or constants. dx/dy + px = q, where p and q are functions of y or constants.
4. Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayesâ€™ theorem, Random variable and its probability distribution, mean and variance of random variable.
Section B
5. 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.
6. Three – dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.
7. Application of Integrals
Application in finding the area bounded by simple curves and coordinate axes. Area enclosed between two curves.
Section C
8. Application of Calculus
Application of Calculus in Commerce and Economics in the following:
 Cost function,
 average cost,
 marginal cost and its interpretation
 demand function,
 revenue function,
 marginal revenue function and its interpretation,
 Profit function and breakeven point.
 Rough sketching of the following curves: AR, MR, R, C, AC, MC and their mathematical interpretation using the concept of maxima & minima and increasing decreasing functions.
9. Linear Regression
 Lines of regression of x on y and y on x.
 Scatter diagrams
 The method of least squares.
 Lines of best fit.
 Regression coefficient of x on y and y on x.
 b_{xy}Â Ă— b_{yx}Â = r^{2}
 Identification of regression equations
 Properties of regression lines.
 Estimation of the value of one variable using the value of other variable from appropriate line of regression.
10. Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, 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 (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three nontrivial constraints).
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ISC Class 12 SubjectWise Syllabus
FAQs (Frequently Asked Questions)
1. Is CBSE Maths more difficult or ICSE Maths?
Although some students believe that ICSE is more complex than CBSE, this is not the case. The CBSE Syllabus emphasises applicationbased topics relevant to competitive Examination, whereas the ICSE Syllabus is more comprehensive. In their way, all of the Boards evaluate students’ knowledge and understanding of concepts. The ICSE commission, according to experts, teaches specific topics in greater depth.
2. How are sample papers useful for Board Examination?
Sample papers are an excellent resource for preparing for Examination. These papers allow students to measure their test readiness. It also ensures adequate preparation and effective revision. The ISC Class 12 Maths Syllabus is extensive, thus necessitating comprehensive practice. The more you practise, the better your chances of scoring admirably.
3. Are sample papers better than past year Question Papers for preparing ISC Class 12 Maths Syllabus?
Students who want to do well on their Board Examination should also practise with sample papers and past year Question Papers. Sample papers provide an overview of the most recent Examination trend in Question Paper format. In contrast, past year Question Papers assist in explaining the essential areas that are most likely to be discussed.