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ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
Official Syllabus
There will be two papers in the subject:
Paper I: Theory(3 hours)……80 marks
Paper II: Project Work ……20 marks
PAPER I (THEORY) – 80 Marks
The syllabus is divided into three sections A, B, and C.
Section A is compulsory for all candidates. Candidates will have a choice of attempting questions from EITHER Section B OR Section C.
There will be one paper of three hours duration of 80 marks.
Section A (65 Marks): Candidates will be required to attempt all questions. The internal choice will be provided in two questions of two marks, two questions of four marks, and two questions of six marks each.
Section B/ Section C (15 Marks): Candidates will be required to attempt all questions EITHER from Section B or Section C. Internal choice will be provided in one question of two marks and one question of four marks.
DISTRIBUTION OF MARKS FOR THE THEORY PAPER
UNIT | TOTAL WEIGHTAGE |
SECTION A : 65 MARKS | |
Relations and Functions | 10 Marks |
Algebra | 10 Marks |
Calculus | 32 Marks |
Probability | 13 Marks |
SECTION B : 15 MARKS | |
Vectors | 5 Marks |
Three - Dimensional Geometry | 6 Marks |
Applications of Integrals | 4 Marks |
SECTION C : 15 MARKS | |
Application of Calculus | 5 Marks |
Linear Regression | 6 Marks |
Linear Programming | 4 Marks |
TOTAL | 80 Marks |
SECTION A
1. Relations and Functions
(i) Types of relations: reflexive, symmetric, transitive, and equivalence relations. One-to-one and functions, composite functions.
• Relations as:
- Relation on a set A
- Identity relation, empty relation, universal relation.
- Types of Relations: reflexive, symmetric, transitive, and equivalence relation.
• Functions:
- As special relations, the concept of writing “y is a function of x” as y = f(x).
- Types: one to one, many to one, into, onto.
- Real-Valued function.
- Composite functions (algebraic functions only).
(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. Invertible matrices, if it exists (Here all matrices will have real entries).
(ii) Determinants: Determinants of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, and co-factors. Adjoint and inverse of a square matrix. Solving a system of linear equations in two or three variables (having unique solutions) using the inverse of a matrix.
Types of m
...ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
Official Syllabus
There will be two papers in the subject:
Paper I: Theory(3 hours)……80 marks
Paper II: Project Work ……20 marks
PAPER I (THEORY) – 80 Marks
The syllabus is divided into three sections A, B, and C.
Section A is compulsory for all candidates. Candidates will have a choice of attempting questions from EITHER Section B OR Section C.
There will be one paper of three hours duration of 80 marks.
Section A (65 Marks): Candidates will be required to attempt all questions. The internal choice will be provided in two questions of two marks, two questions of four marks, and two questions of six marks each.
Section B/ Section C (15 Marks): Candidates will be required to attempt all questions EITHER from Section B or Section C. Internal choice will be provided in one question of two marks and one question of four marks.
DISTRIBUTION OF MARKS FOR THE THEORY PAPER
UNIT | TOTAL WEIGHTAGE |
SECTION A : 65 MARKS | |
Relations and Functions | 10 Marks |
Algebra | 10 Marks |
Calculus | 32 Marks |
Probability | 13 Marks |
SECTION B : 15 MARKS | |
Vectors | 5 Marks |
Three - Dimensional Geometry | 6 Marks |
Applications of Integrals | 4 Marks |
SECTION C : 15 MARKS | |
Application of Calculus | 5 Marks |
Linear Regression | 6 Marks |
Linear Programming | 4 Marks |
TOTAL | 80 Marks |
SECTION A
1. Relations and Functions
(i) Types of relations: reflexive, symmetric, transitive, and equivalence relations. One-to-one and functions, composite functions.
• Relations as:
- Relation on a set A
- Identity relation, empty relation, universal relation.
- Types of Relations: reflexive, symmetric, transitive, and equivalence relation.
• Functions:
- As special relations, the concept of writing “y is a function of x” as y = f(x).
- Types: one to one, many to one, into, onto.
- Real-Valued function.
- Composite functions (algebraic functions only).
(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. Invertible matrices, if it exists (Here all matrices will have real entries).
(ii) Determinants: Determinants of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, and co-factors. Adjoint and inverse of a square matrix. Solving a system of linear equations in two or three variables (having unique solutions) using the inverse of a matrix.
Types of matrices (m×n; m, n less than or equal to 3), order; Identity matrix, Diagonal matrix.
- Symmetric, Skew symmetric.
- Operation – addition, subtraction, multiplication of a matrix with scalar, multiplication of two matrices (the compatibility).
- Singular and non-singular matrices.
- Existence of two non-zero matrices whose product is a zero matrix.
• Martin’s Rule (i.e. using matrices)
a1x + b2y + c1z = d1
a2x +b2y + c2z = d2
a3x + b3y + c3z = d3
• Determinants
- Order.
- Minors.
- Cofactors.
- Expansion.
3. Calculus
(i) Continuity, Differentiability, and Differentiation. Continuity and differentiability, a 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.
• Continuity - Continuity of a function at a point x = a. - Continuity of a function in an interval. - Algebra of continuous function. - Removable discontinuity.
• Differentiation
- Concept of continuity and differentiability of x , [x], etc.
- Derivatives of trigonometric functions.
- Derivatives of exponential functions.
- Derivatives of logarithmic functions.
- Derivatives of inverse trigonometric functions
- differentiation by means of substitution.
- Derivatives of implicit functions and chain rule.
- e for composite functions.
- Derivatives of Parametric functions.
- Differentiation of a function with respect to another function e.g. differentiation of sinx3 with respect to x3.
- Logarithmic Differentiation
- Finding dy/dx when y = y = xx
- Successive differentiation up to 2nd order
NOTE: Derivatives of composite functions using the chain rule.
• L'Hospital's theorem.
(ii) Applications of Derivatives
Applications of derivatives: increasing/decreasing functions, tangents and normals, maxima and minima (first derivative test motivated geometrically and second derivative test given as approvable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
• Equation of Tangent and Normal
• Increasing and decreasing functions.
• Maxima and minima.
- Stationary/turning points.
- Absolutemaxima/minima
- local maxima/minima
- First derivatives test and second derivatives test
- Application problems maxima and minima.
(iii) Integrals
Integration is the 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.
• Indefinite integral
- Integration is the inverse of differentiation.
- Anti-derivatives of polynomials and functions (ax +b)n, sinx, cosx, sec2x, cosec2x etc.
- Integrals of the type sin2x, sin3x, sin4x, cos2x, cos3x, cos4x.
- Integration of 1/x, ex.
- Integration by substitution.
- Integrals of the type f '(x) [f (x)]n,
- Integration of tanx, cotx, secx, cosecx.
- Integration by parts. When the degree of f(x) is greater than or equal to the degree of g(x), e.g.
• Definite Integral
- Fundamental theorem of calculus (without proof)
- Properties of definite integrals.
- Problems based on the following properties of definite integrals are to be covered.
(iv) Differential Equations
Definition, order, and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by the method of separation of variables solutions of homogeneous differential equations of the 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.
- Differential equations, order, and degree.
- Formation of differential equation by eliminating arbitrary constant (s).
- Solution of differential equations.
- Variable separable.
- Homogeneous equations.
- Linear form (dy/dx) + Py = Q where P and Q are functions of x only. Similarly, for dx/dy.
NOTE 1: The second-order differential equations are excluded.
4. Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem.
- Independent and dependent events conditional events.
- Laws of Probability, addition theorem, multiplication theorem, conditional probability.
- Theorem of Total Probability.
- Baye’s theorem.
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, the addition of vectors, multiplication of a vector by a scalar. Definition, Geometrical Interpretation, properties, and application of scalar (dot) product of vectors, vector (cross) product of vectors.
- As directed line segments.
- Magnitude and direction of a vector.
- Types: equal vectors, unit vectors, zero vectors.
- Position vector.
- Components of a vector.
- Vectors in two and three dimensions.
- iˆ, jˆ, kˆas unit vectors along the x, y, and the z axes; expressing a vector in terms of the unit vectors.
- Operations: Sum and Difference of vectors; scalar multiplication of a vector.
- Scalar (dot) product of vectors and their geometrical significance.
- Cross product - its properties - the area of a triangle, area of the parallelogram, collinear vectors.
NOTE: Proofs of geometrical theorems by using Vector algebra are excluded.
6. Three - dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines. Cartesian and vector equation of a plane. Distance of a point from a plane.
- Equation of the x-axis, y-axis, z-axis, and lines parallel to them.
- Equation of xy - plane, yz – plane, zx – plane.
- Direction cosines, direction ratios.
- Angle between two lines in terms of direction cosines /direction ratios.
- Condition for lines to be perpendicular/parallel.
• Lines
- Cartesian and vector equations of a line through one and two points.
- Coplanar and skew lines.
- Conditions for the intersection of two lines.
- Distance of a point from a line.
• 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.
- Intersection of the line and plane.
7. Application of Integrals
Application in finding the area bounded by simple curves and coordinate axes. The area enclosed between two curves.
- Application of definite integrals - is abounded by curves, lines, and coordinate axes is required to be covered.
- Simple curves: lines, parabolas, and polynomial functions.
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 break-even point.
- Increasing - decreasing functions.
NOTE: Application involving differentiation, increasing and decreasing function to be covered.
9. Linear Regression
- Lines of regression of x on y and y on x.
- Lines of best fit
- Regression coefficient of x on y and y on x.
- bxy × byx = r2, 0 less than or equal bxy × byx less than or equal 1.
- Identification of regression equations.
- Estimation of the value of one variable using the value of another variable from the 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 non-trivial constraints).
Introduction, the definition of related terminology such as constraints, objective function, optimization, 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.
PAPER II – PROJECT WORK – 20 Marks
Candidates will be expected to have completed two projects, one from Section A and one from either Section B or Section C.
The project work will be assessed by the subject teacher and a Visiting Examiner appointed locally and approved by the Council.
Mark allocation for each Project [10 marks] :
Unit | Marks |
Overall format | 1 mark |
Content | 4 mark |
Findings | 2 mark |
Viva-voce based on the Project | 3 mark |
Total | 10 mark |
Topics for Project Work :
Section A
1. Using a graph, demonstrate a function that is one-one but not onto.
2. Using a graph demonstrates a function that is invertible.
3. Construct a composition table using a binary function addition/multiplication modulo up to 5 and verify the existence of the properties of the binary operation.
4. Draw the graph of y = sin-1 x (or any other inverse trigonometric function), using the graph of y = sin x (or any other relevant trigonometric function). Demonstrate the concept of mirror line (about y = x) and find its domain and range.
5. Explore the principal value of the function sin-1 x (or any other inverse trigonometric function) using a unit circle.
6. Find the derivatives of a determinant of the order of 3 x 3 and verify the same by other methods.
7. Verify the consistency of the system of three linear equations of two variables and verify the same graphically. Give its geometrical interpretation.
8. For a dependent system (non-homogeneous) of three linear equations of three variables, identify an infinite number of solutions.
9. For a given function, give the geometrical interpretation of Mean Value theorems. Explain the significance of closed and open intervals for continuity and differentiability properties of the theorems.
10. Explain the concepts of increasing and decreasing functions, using the geometrical significance of dy/dx. Illustrate with proper examples.
11. Explain the geometrical significance of the point of inflexion with examples and illustrate it using graphs.
12. Explain and illustrate (with suitable examples) the concept of local maxima and local minima using a graph.
13. Explain and illustrate (with suitable examples) the concept of absolute maxima and absolute minima using a graph.
14. Illustrate the concept of definite integral, expressed as the limit of a sum, and verify it by actual integration.
15. Demonstrate the application of differential equations to solve a given problem (for example, population increase or decrease, bacteria count in culture, etc.).
16. Explain the conditional probability, the theorem of total probability, and the concept of Bayes’ theorem with suitable examples.
17. Explain the types of probability distributions and derive the mean and variance of the binomial probability distribution for a given function.
Section B
18. Using vector algebra, find the area of a parallelogram/triangle. Also, derive the area analytically and verify the same.
19. Using Vector algebra, prove the formulae of properties of triangles (sine/cosine rule, etc.)
20. Using Vector algebra, prove the formulae of compound angles, e.g. sin (A + B) = Sin A Cos B + Sin B Cos A, etc.
21. Describe the geometrical interpretation of the scalar triple product and for a given data, find the scalar triple product.
22. Find the image of a line with respect to a given plane.
23. Find the distance of a point from a given plane measured parallel to a given line.
24. Find the distance of a point from a line measured parallel to a given plane.
25. Find the area bounded by a parabola and an oblique line.
26. Find the area bounded by a circle and an oblique line.
27. Find the area bounded by an ellipse and an oblique line.
28. Find the area bounded by a circle and a circle.
29. Find the area bounded by a parabola and a parabola.
30. Find the area bounded by a circle and a parabola.
(Any other pair of curves which are specified in the syllabus may also be taken.)
Section C
31. Draw a rough sketch of Cost (C), Average Cost (AC), and Marginal Cost (MC)
Or
Revenue (R), Average Revenue (AR), and Marginal Revenue (MR).
Give their mathematical interpretation using the concept of increasing-decreasing functions and maxima-minima.
32. For a given data, find regression equations by the method of least squares. Also, find angles between regression lines.
33. Draw the scatter diagram for a given data. Use it to draw the lines of best fit and estimate the value of Y when X is given and vice-versa.
34. Using any suitable data, find the minimum cost by applying the concept of the Transportation problem.
35. Using any suitable data, find the minimum cost and maximum nutritional value by applying the concept of the Diet problem. 36. Using any suitable data, find the Optimum cost in the manufacturing problem by formulating a linear programming problem (LPP).
NOTE: No question paper for Project Work will be set by the Council.
TO KNOW MORE
For Official Website: click here
For Time Table: click here
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
Paper Format
Paper Type - Theory + Internal Assessment
Paper Marks - Theory (80 Marks) + Internal Assessment (20 Marks)
Maximum Total marks - 80 + 20 = 100 Marks
Time duration - 3 hours (Only For Theory Exam)
About Paper
1. The syllabus is divided into three sections A, B, and C.
2. Section A is compulsory for all candidates. Candidates will have a choice of attempting questions from EITHER Section B OR Section C.
3. Section A (65 Marks): Candidates will be required to attempt all questions. The internal choice will be provided in two questions of two marks, two questions of four marks, and two questions of six marks each.
4. Section B/ Section C (15 Marks): Candidates will be required to attempt all questions EITHER from Section B or Section C. Internal choice will be provided in one question of two marks and one question of four marks.
Unit & their weightage
S.No. | Unit | Total Weightage |
Section A: 65 Marks | ||
1. | Relations and Functions | 10 Marks |
2. | Algebra | 10 Marks |
3. | Calculus | 32 Marks |
4. | Probability | 13 Marks |
Section B: 15 Marks | ||
5. | Vectors | 5 Marks |
6. | Three Dimensional Geometry | 6 Marks |
7. | Applications of Integrals | 4 Marks |
Section C: 15 Marks | ||
8. | Application of Calculus | 5 Marks |
9. | Linear Regression | 6 Marks |
10. | Linear Programming | 4 Marks |
Total | 80 Marks |
There will be an internal assessment of 20 Marks.
TO KNOW MORE
For Official Website: click here
For Time Table: click here
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
Conditions of eligibility for admission to Class XII
1. Candidates who have been awarded Pass Certificates in the class XI examination with five subjects including English are eligible to be admitted to the Indian School Certificate Examination.
2. Candidates may be entered only by the school they are attending and in this respect, the decision of the Head of the School is final.
3. There is no age limit for candidates taking the examination.
4. Candidates whose attendance is below 75% of the working days are ordinarily not eligible to sit for the examination. However, the Chief Executive and Secretary has the authority to condone the shortage of attendance in the case of candidates whose minimum attendance is not less than 60% of the working days in each year of the two-year course. This is inclusive of absence due to illness and other special circumstances. Heads of Schools may represent, to the Chief Executive and Secretary, cases of candidates who deserve special consideration for condonation of shortage of attendance in Class XI and XII, provided that the attendance of such candidates is not less than 60% of the working days, during each year of the two-year course.
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
TIME TABLE - MATHEMATICS
Exam Date | Subject | Time & Duration |
03.03.2025 (Monday) | Mathematics | 02.00 P.M & 3 hrs. |
TIME TABLE - ALL SUBJECTS
SINO. | Day | Date | Time & Duration | Subject |
1 | Thursday | 13.02.2025 | 2.00 P.M. (3 hrs) | Environmental Science |
2 | Friday | 14.02.2025 | 2.00 P.M. (3 hrs) | English - Paper 1 (English Language) |
3 | Saturday | 15.02.2025 | 2.00 P.M. (3 hrs) | Mass Media & Communication Indian Music - Hindustani - Paper 1 (Theory) Western Music - Paper 1 (Theory) |
4 | Monday | 17.02.2025 | 2.00 P.M. (3 hrs) | English - Paper 2 (Literature in English) |
5 | Tuesday | 18.02.2025 | 2.00 P.M. (3 hrs) | Fashion Designing - Paper 1 (Theory) |
6 | Friday | 21.02.2025 | 2.00 P.M. (3 hrs) | Economics, Biotechnology - Paper 1 (Theory) |
7 | Saturday | 22.02.2025 | 9.00 P.M. (3 hrs) | Art Paper 1 (Drawing or Painting from Still Life) |
8 | Monday | 24.02.2025 | 2.00 P.M. (3 hrs) | Chemistry - Paper 1 (Theory) |
9 | Tuesday | 25.02.2025 | 2.00 P.M. (3 hrs) | Elective English |
10 |
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
TIME TABLE - MATHEMATICS
Exam Date | Subject | Time & Duration |
03.03.2025 (Monday) | Mathematics | 02.00 P.M & 3 hrs. |
TIME TABLE - ALL SUBJECTS
SINO. | Day | Date | Time & Duration | Subject |
1 | Thursday | 13.02.2025 | 2.00 P.M. (3 hrs) | Environmental Science |
2 | Friday | 14.02.2025 | 2.00 P.M. (3 hrs) | English - Paper 1 (English Language) |
3 | Saturday | 15.02.2025 | 2.00 P.M. (3 hrs) | Mass Media & Communication Indian Music - Hindustani - Paper 1 (Theory) Western Music - Paper 1 (Theory) |
4 | Monday | 17.02.2025 | 2.00 P.M. (3 hrs) | English - Paper 2 (Literature in English) |
5 | Tuesday | 18.02.2025 | 2.00 P.M. (3 hrs) | Fashion Designing - Paper 1 (Theory) |
6 | Friday | 21.02.2025 | 2.00 P.M. (3 hrs) | Economics, Biotechnology - Paper 1 (Theory) |
7 | Saturday | 22.02.2025 | 9.00 P.M. (3 hrs) | Art Paper 1 (Drawing or Painting from Still Life) |
8 | Monday | 24.02.2025 | 2.00 P.M. (3 hrs) | Chemistry - Paper 1 (Theory) |
9 | Tuesday | 25.02.2025 | 2.00 P.M. (3 hrs) | Elective English |
10 | Friday | 28.02.2025 | 2.00 P.M. (3 hrs) | Bengali, Gujarati, Hindi, Kannada, Mizo, Malayalam, Nepali, Odia, Punjabi, Tamil, Telugu, Urdu, Lepcha, French, Modern Armenian, Tibetan, Arabic |
11 | Saturday | 1.03.2025 | 9.00 P.M. (3 hrs) | Art Paper 2 (Drawing or Painting from Nature) |
12 | Monday | 3.03.2025 | 2.00 P.M. (3 hrs) | Mathematics |
13 | Wednesday | 5.03.2025 | 2.00 P.M. (3 hrs) | Business Studies |
14 | Friday | 7.03.2025 | 2.00 P.M. (3 hrs) | Physics - Paper I (Theory) |
15 | Saturday | 8.03.2025 | 9.00 P.M. (3 hrs) | Art Paper 3 (Drawing or Painting of a Living Person) |
2.00 P.M. (3 hrs) | Hospitality Management | |||
16 | Monday | 10.03.2025 | 2.00 P.M. (3 hrs) | History |
17 | Wednesday | 12.03.2025 | 2.00 P.M. (3 hrs) | Commerce |
18 | Monday | 17.03.2025 | 2.00 P.M. (3 hrs) | Accounts |
19 | Wednesday | 19.03.2025 | 2.00 P.M. (3 hrs) | Political Science |
20 | Friday | 21.03.2025 | 2.00 P.M. (3 hrs) | Biology - Paper 1 (Theory) |
21 | Saturday | 22.03.2025 | 2.00 P.M. (3 hrs) | Home Science - Paper 1 (Theory) |
22 | Monday | 24.03.2025 | 2.00 P.M. (3 hrs) | Computer Science - Paper I (Theory) |
23 | Wednesday | 26.03.2025 | 2.00 P.M. (3 hrs) | Physical Education |
24 | Friday | 28.03.2025 | 2.00 P.M. (3 hrs) | Sociology |
25 | Saturday | 29.03.2025 | 9.00 P.M. (3 hrs) | Art Paper 4 (Original Imaginative Composition in Colour) |
2.00 P.M. (3 hrs) | Legal Studies | |||
26 | Wednesday | 02.04.2025 | 2.00 P.M. (3 hrs) | Psychology |
27 | Friday | 04.04.2025 | 2.00 P.M. (3 hrs) | Geography, Electricity and Electronics, Geometrical & Mechanical Drawing |
28 | Saturday | 05.04.2025 | 9.00 P.M. (3 hrs) | Art Paper 5 (Crafts A) |
TO KNOW MORE
For Official Website: click here
For Time Table: click here
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
Official ISC Analysis of Pupil Performance
Year | Subject | Link |
2024 | Mathematics | Click Here |
2023 | Click Here | |
2020 | Click Here | |
2019 | Click Here | |
2018 | Click Here | |
2017 | Click Here |
ISC Mathematics Analysis 2022
The analysis is based on the Class XII Board Exam, which has conducted recently.
Paper Analysis
ICSE Maths Semester 2 2022 Exam has been conducted on May 9, 2022. Experts Says that the Paper's Difficulty Level was "Moderate"
ISC Mathematics 2022: Exam highlights
Exam date: Monday, May 9, 2022
Total Exam Timing: 2 pm - 3:30 pm
Total Exam Duration: 1.5 hours
Total Marks: 40
ISC Maths 2022 Semester 2 Exam Analysis Facts
1. The paper was divided into three sections – Section A, Section B, and Section C.
2. The first section comprised questions worth a total of 32 marks, All were compulsory without any internal choice.
3. For the remaining 8 marks, students had to attempt either Section B or Section C.
4. Some students said, "The paper was very tricky. They expected CISCE to give an easy exam because till now most papers were easy. But this one was tricky.
5. Several students found the question paper to be moderate but lengthy. They said that solving the ISC specimen question paper 2022 helped them in the exam.
6. Some students said, "12th Specimen Paper by CISCE was the key to this exam. Some questions were tricky, but they could do them. Students were able to finish the exam paper within the time and are expecting to get good marks.
7. The question paper had short answer/ long answer type questions. The question paper was subjective and students had to write responses to each question.
ISC Maths 2022 Semester 2 Exam Analysis - Experts and Teacher feedback
Experts have also shared that ISC 12th Maths Question Paper was moderate level and specimen question paper 2022 helped them in the exam. Overall Question Paper was the Scoring and all the students were happy.
ICSE/ISC XII Analysis From Other Resources
S.no. | Subject | Sources | Exam Date | Link |
1 | Mathematics |
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
Official ISC Analysis of Pupil Performance
Year | Subject | Link |
2024 | Mathematics | Click Here |
2023 | Click Here | |
2020 | Click Here | |
2019 | Click Here | |
2018 | Click Here | |
2017 | Click Here |
ISC Mathematics Analysis 2022
The analysis is based on the Class XII Board Exam, which has conducted recently.
Paper Analysis
ICSE Maths Semester 2 2022 Exam has been conducted on May 9, 2022. Experts Says that the Paper's Difficulty Level was "Moderate"
ISC Mathematics 2022: Exam highlights
Exam date: Monday, May 9, 2022
Total Exam Timing: 2 pm - 3:30 pm
Total Exam Duration: 1.5 hours
Total Marks: 40
ISC Maths 2022 Semester 2 Exam Analysis Facts
1. The paper was divided into three sections – Section A, Section B, and Section C.
2. The first section comprised questions worth a total of 32 marks, All were compulsory without any internal choice.
3. For the remaining 8 marks, students had to attempt either Section B or Section C.
4. Some students said, "The paper was very tricky. They expected CISCE to give an easy exam because till now most papers were easy. But this one was tricky.
5. Several students found the question paper to be moderate but lengthy. They said that solving the ISC specimen question paper 2022 helped them in the exam.
6. Some students said, "12th Specimen Paper by CISCE was the key to this exam. Some questions were tricky, but they could do them. Students were able to finish the exam paper within the time and are expecting to get good marks.
7. The question paper had short answer/ long answer type questions. The question paper was subjective and students had to write responses to each question.
ISC Maths 2022 Semester 2 Exam Analysis - Experts and Teacher feedback
Experts have also shared that ISC 12th Maths Question Paper was moderate level and specimen question paper 2022 helped them in the exam. Overall Question Paper was the Scoring and all the students were happy.
ICSE/ISC XII Analysis From Other Resources
S.no. | Subject | Sources | Exam Date | Link |
1 | Mathematics | NDTV | 09 May 2022 | Click Here |
2. | Mathematics | Times Now | 09 May 2022 | Click Here |
3. | Mathematics | Hindustan Times | 09 May 2022 | Click Here |
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
1. The paper will be divided into three sections Section A, Section B & Section C.
2. The total number of questions will be 22
3. Section A is compulsory for all candidates. Candidates will have a choice of attempting questions from EITHER Section B OR Section C.
4. Section A (65 Marks): Candidates will be required to attempt all questions. An Internal choice will be provided in three questions of four marks each and two questions of six marks each.
5. Section B/ Section C (15 Marks): Candidates will be required to attempt all questions EITHER from Section B OR Section C. Internal choice will be provided in two questions of four marks each.
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
KEY HIGHLIGHTS OF THE BOARD EXAM
Particulars | Details |
Exam Name | ISC Class 12th Board Exam |
Exam Conducted By | The Council for the Indian School Certificate Examinations (CISCE) |
Exam Year | 2025 |
Exam Starts From | 13 February 2025 |
Exam Ends | 05 April 2025 |
Result Declaration | May 2025 |
Students Appeared Last Year | Around 1 Lakh |
Official Website | click here |
TIME TABLE
This year Class 12th ISC Final exams will be conducted for the following subjects:
SINO. | Subject |
1 | Environmental Science |
2 | English - Paper 1 (English Language) |
3 | Mass Media & Communication Indian Music - Hindustani - Paper 1 (Theory) Western Music - Paper 1 (Theory) |
4 | English - Paper 2 (Literature in English) |
5 | Fashion Designing - Paper 1 (Theory) |
6 | Economics, Biotechnology - Paper 1 (Theory) |
7 | Art Paper 1 (Drawing or Painting from Still Life) |
8 | Chemistry - Paper 1 (Theory) |
9 | Elective English |
10 | Bengali, Gujarati, Hindi, Kannada, Mizo, Malayalam, Nepali, Odia, Punjabi, Tamil, Telugu, Urdu, Lepcha, French, Modern Armenian, Tibetan, Arabic |
11 | Art Paper 2 (Drawing or Painting from Nature) |
12 | Mathematics |
13 | Business Studies |
14 | Physics - Paper I (Theory) |
15 | Art Paper 3 (Drawing or Painting of a Living Person) |
Hospitality Management | |
16 | History |
17 | Commerce |
18 |
ISC EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ISC (Class 12) board examinations for 2025. This year class 12th board exam will be started from 13 February 2025 and will last upto 05 April 2025, it will take around 52 days to complete the class 12th board exam. The first exam will be held on 13 February 2025 for Environmental Science subject and the last exam will be held on 05 April 2025 for Art subject. The Indian School Certificate Examination results will be declared in the month of May.
KEY HIGHLIGHTS OF THE BOARD EXAM
Particulars | Details |
Exam Name | ISC Class 12th Board Exam |
Exam Conducted By | The Council for the Indian School Certificate Examinations (CISCE) |
Exam Year | 2025 |
Exam Starts From | 13 February 2025 |
Exam Ends | 05 April 2025 |
Result Declaration | May 2025 |
Students Appeared Last Year | Around 1 Lakh |
Official Website | click here |
TIME TABLE
This year Class 12th ISC Final exams will be conducted for the following subjects:
SINO. | Subject |
1 | Environmental Science |
2 | English - Paper 1 (English Language) |
3 | Mass Media & Communication Indian Music - Hindustani - Paper 1 (Theory) Western Music - Paper 1 (Theory) |
4 | English - Paper 2 (Literature in English) |
5 | Fashion Designing - Paper 1 (Theory) |
6 | Economics, Biotechnology - Paper 1 (Theory) |
7 | Art Paper 1 (Drawing or Painting from Still Life) |
8 | Chemistry - Paper 1 (Theory) |
9 | Elective English |
10 | Bengali, Gujarati, Hindi, Kannada, Mizo, Malayalam, Nepali, Odia, Punjabi, Tamil, Telugu, Urdu, Lepcha, French, Modern Armenian, Tibetan, Arabic |
11 | Art Paper 2 (Drawing or Painting from Nature) |
12 | Mathematics |
13 | Business Studies |
14 | Physics - Paper I (Theory) |
15 | Art Paper 3 (Drawing or Painting of a Living Person) |
Hospitality Management | |
16 | History |
17 | Commerce |
18 | Accounts |
19 | Political Science |
20 | Biology - Paper 1 (Theory) |
21 | Home Science - Paper 1 (Theory) |
22 | Computer Science - Paper I (Theory) |
23 | Physical Education |
24 | Sociology |
25 | Art Paper 4 (Original Imaginative Composition in Colour) |
Legal Studies | |
26 | Psychology |
27 | Geography, Electricity and Electronics, Geometrical & Mechanical Drawing |
28 | Art Paper 5 (Crafts A) |
IMPORTANT INSTRUCTIONS
1. In addition to the duration indicated on the timetable for writing the paper, 15 minutes time is given for reading the Question Paper.
2. The Indian School Certificate Year 2025 Examination results will be declared in the month of May 2025.
3. The results will be made available on the official website of the CISCE.
4. For ISC, the marks of the Practical/Project work Of the subject, already awarded to the candidate in the main examination, Will be carried forward. However, if the candidate was absent earlier either in Practical or during assessment of Project Work of the subject, then, the candidate, in addition to taking the Theory examination, is permitted to submit the Project Work and/or for Practical. which should then be assessed, and marks awarded and submitted.
5. CISCE will not retain answer scripts of the candidates later than 60 days from the day of the declaration of results. The same shall be destroyed thereafter.
7. All candidates who appear for the ISC Main Examination, are eligible to take the Improvement Examination' conducted in the same year of Examination.
HOW TO CHECK TIME TABLE
Students who are planning to appear for the ISC Class 12th exam can download their complete timetable by following these simple steps:
Step 1: Visit the official CISCE website: cisce.org
Step 2: On the homepage, find and click on the link for “ISC Class 12th Time Table”
Step 3: A new page will open displaying the ISC exam date sheet in PDF format.
Step 4: Carefully review the date sheet to get all the necessary details regarding the ISC exam.
Step 5: Download and save the timetable. It is also recommended to take a printout for future reference.
TO KNOW MORE
For Official Website: click here
For Time Table: click here
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ISC stands for Indian School Certificate. It is an examination that conducted by the Council for the Indian School Certificate Examinations for class 11th & 12th standard. You can get more information about the ISC board exam by visiting our school section.
Candidates who have been awarded Pass Certificates in the class XI examination with five subjects including English are eligible for ISC Class 12.For detailed information of ISC Board Class 12 eligibility, click on above Eligibility button.
The Council for the Indian School Certificate Examinations (CISCE) is a board of school education that conducts ICSE & ISC examination. To get full information about the CISCE board, you can go to our ISCE & ISC Board section.
Mathematics Important Books are - ML Agrawal, S Chand & RD Sharma. To view the official syllabus and books of ISC Board Class 12 Mathematics, click on the syllabus button given above. If you want to see the solution of the entire syllabus, then you can also go to the textbook section above.
The ISC class 12 Maths syllabus covers various advanced topics like algebra, calculus and vectors etc. along with project work. By visiting the syllabus tab which is given above, you can see the important topics of ISC Board Class 12 Mathematics from which most of the questions are asked in the exam.
ISC Class 12 Math consist Theory (80 Marks) and Internal Assessment (20 Marks). The time duration of theory exam is 3 hours. For getting full access of ISC Board Class 12 Mathematics pattern click on above Format button.
ISC Class 12 Math exam was conducted on 20 February 2023. For complete details of ISC Board Class 12 exam date, click on the schedule button above.
For download ISC Class 12 Admit card visit the official website www.cisce.org. For any information related to ISC Board Class 12 admit card, visit our ISC Board section above.
ISC Class 12 result is expected to be announced on July. For download ISC Class 12 result visit the official website www.cisce.org. For full schedule of ISC Board Class 12 exam result click on schedule tab above.
ISC Class 12 Math syllabus divided into three sections A, B, and C where section A is for 65 marks and section B & C is for 15 marks. For more information related to the sections and weightage of the ISC Board Class 12 Mathematics paper, you can go to the Format tab above.
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