ICSE EXAM LATEST UPDATE
The Class 9 exams depend on the schools, as they decide when to conduct the exams. Usually, the Class 9 exams are held a few months before the final board exams. This gives you the opportunity to prepare for the final board exams and also mentally prepare for them. Therefore, it is better to contact your school regarding the Class 9 exams, and also take advantage of the complete information provided here for the final board exam.
The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ICSE (Class 10) board examinations for 2025. This year class 10th board exam will be started from 18 February 2025 and will last upto 27 March 2025, it will take around 38 days to complete the class 10th board exam. The first exam will be held on 18 February 2025 for English subject and the last exam will be held on 27 March 2025 for Environmental Science subject. The Indian School Certificate Examination results will be declared in the month of May.
Official Syllabus
There will be one paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks.
The paper will be divided into two sections, Section I (40 marks), Section II (40 marks).
Section I : Will consist of compulsory short answer questions.
Section II : Candidates will be required to answer four out of seven questions.
The solution of a question may require the knowledge of more than one branch of the syllabus.
1. Pure Arithmetic
Rational and Irrational Numbers
Rational, irrational numbers as real numbers, their place in the number system. Surds and rationalization of surds. Simplifying an expression by rationalizing the denominator. Representation of rational and irrational numbers on the number line.
Proofs of irrationality of root 2, root 3, root 5.
2. Commercial Mathematics
Compound Interest
(a) Compound interest as a repeated Simple Interest computation with a growing Principal. Use of this in computing Amount over a period of 2 or 3 years.
(b) Use of formula. Finding CI from the relation CI = A – P.
- Interest compounded half-yearly included.
- Using the formula to find one quantity given different combinations of A, P, r, n, CI and SI; difference between CI and SI type included.
Note: Paying back in equal installments, being given rate of interest and installment amount, not included.
3. Algebra
(i) Expansions
Recall of concepts learned in earlier classes.
(a ± b)2
(a ± b)3
(x ± a) (x ± b)
(a ± b ± c)2
(ii) Factorisation
a2 – b2
a3 ± b3
ax2 + bx + c, by splitting the middle term.
(iii) Simultaneous Linear Equations in two variables. (With numerical coefficients only)
- Solving algebraically by: - Elimination - Substitution and - Cross Multiplication method
- Solving simple problems by framing appropriate equations.
(iv) Indices/ Exponents
Handling positive, fractional, negative and “zero” indices.
Simplification of expressions involving various exponents
am x an = a m+n, am/an = am-n, (am)n = amn etc. Use of laws of exponents.
(v) logarithm
(a) Logarithmic form vis-a-vis exponential form: Interchanging.
(b) Laws of logarithms and their uses. Expanding Expressions Using the Laws of Logarithms
log y = 4 log a + 2 log b – 3 log c and so on.
4. Geometry
(i) Triangles
(a) Congruency: four cases: SSS, SAS, AAS, and RHS. Illustration through cutouts. Simple applications.
(b) Mid-Point Theorem and its converse, equal intercept theorem
(i) Proof and simple applications of mid-point theorem and its converse.
(ii) Equal intercept theorem: proof and simple application.
(c) Pythagoras Theorem
Area based proof and simple applications of Pythagoras Theorem and its converse.
(ii) Rectilinear Figures
Proof and use of theorems on parallelogram.
- Both pairs of opposite sides equal (without proof).
-
...
ICSE EXAM LATEST UPDATE
The Class 9 exams depend on the schools, as they decide when to conduct the exams. Usually, the Class 9 exams are held a few months before the final board exams. This gives you the opportunity to prepare for the final board exams and also mentally prepare for them. Therefore, it is better to contact your school regarding the Class 9 exams, and also take advantage of the complete information provided here for the final board exam.
The Council for the Indian School Certificate Examinations (CISCE) has officially released the date sheet for ICSE (Class 10) board examinations for 2025. This year class 10th board exam will be started from 18 February 2025 and will last upto 27 March 2025, it will take around 38 days to complete the class 10th board exam. The first exam will be held on 18 February 2025 for English subject and the last exam will be held on 27 March 2025 for Environmental Science subject. The Indian School Certificate Examination results will be declared in the month of May.
Official Syllabus
There will be one paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks.
The paper will be divided into two sections, Section I (40 marks), Section II (40 marks).
Section I : Will consist of compulsory short answer questions.
Section II : Candidates will be required to answer four out of seven questions.
The solution of a question may require the knowledge of more than one branch of the syllabus.
1. Pure Arithmetic
Rational and Irrational Numbers
Rational, irrational numbers as real numbers, their place in the number system. Surds and rationalization of surds. Simplifying an expression by rationalizing the denominator. Representation of rational and irrational numbers on the number line.
Proofs of irrationality of root 2, root 3, root 5.
2. Commercial Mathematics
Compound Interest
(a) Compound interest as a repeated Simple Interest computation with a growing Principal. Use of this in computing Amount over a period of 2 or 3 years.
(b) Use of formula. Finding CI from the relation CI = A – P.
- Interest compounded half-yearly included.
- Using the formula to find one quantity given different combinations of A, P, r, n, CI and SI; difference between CI and SI type included.
Note: Paying back in equal installments, being given rate of interest and installment amount, not included.
3. Algebra
(i) Expansions
Recall of concepts learned in earlier classes.
(a ± b)2
(a ± b)3
(x ± a) (x ± b)
(a ± b ± c)2
(ii) Factorisation
a2 – b2
a3 ± b3
ax2 + bx + c, by splitting the middle term.
(iii) Simultaneous Linear Equations in two variables. (With numerical coefficients only)
- Solving algebraically by: - Elimination - Substitution and - Cross Multiplication method
- Solving simple problems by framing appropriate equations.
(iv) Indices/ Exponents
Handling positive, fractional, negative and “zero” indices.
Simplification of expressions involving various exponents
am x an = a m+n, am/an = am-n, (am)n = amn etc. Use of laws of exponents.
(v) logarithm
(a) Logarithmic form vis-a-vis exponential form: Interchanging.
(b) Laws of logarithms and their uses. Expanding Expressions Using the Laws of Logarithms
log y = 4 log a + 2 log b – 3 log c and so on.
4. Geometry
(i) Triangles
(a) Congruency: four cases: SSS, SAS, AAS, and RHS. Illustration through cutouts. Simple applications.
(b) Mid-Point Theorem and its converse, equal intercept theorem
(i) Proof and simple applications of mid-point theorem and its converse.
(ii) Equal intercept theorem: proof and simple application.
(c) Pythagoras Theorem
Area based proof and simple applications of Pythagoras Theorem and its converse.
(ii) Rectilinear Figures
Proof and use of theorems on parallelogram.
- Both pairs of opposite sides equal (without proof).
- Both pairs of opposite angles equal.
- One pair of opposite sides equal and parallel (without proof).
- Diagonals bisect each other and bisect the parallelogram.
- Rhombus as a special parallelogram whose diagonals meet at right angles.
- In a rectangle, diagonals are equal, in a square they are equal and meet at right angles.
(iii) Circle:
(a) Chord properties
- A straight line drawn from the centre of a circle to bisect a chord which is not a diameter is at right angles to the chord.
- The perpendicular to a chord from the centre bisects the chord (without proof).
- Equal chords are equidistant from the centre.
- Chords equidistant from the centre are equal (without proof).
- There is one and only one circle that passes through three given points not in a straight line.
(b) Arc and chord properties:
- If two arcs subtend equal angles at the centre, they are equal, and its converse.
- If two chords are equal, they cut off equal arcs, and its converse (without proof).
Note: Proofs of the theorems given above are to be taught unless specified otherwise.
5. Statistics
Introduction, collection of data, presentation of data, Graphical representation of data, Mean, Median of ungrouped data.
(i) Understanding and recognition of raw, arrayed and grouped data.
(ii) Tabulation of raw data using tally-marks.
(iii) Understanding and recognition of discrete and continuous variables.
(iv) Mean, median of ungrouped data.
(v) Class intervals, class boundaries and limits, frequency, frequency table, class size for grouped data.
(vi) Grouped frequency distributions: the need to and how to convert discontinuous intervals to continuous intervals.
(vii) Drawing a frequency polygon.
6. Mensuration
Area and perimeter of a triangle, Area and circumference of circle. Surface area and volume of Cube and Cuboids.
(a) Area and perimeter of triangle (including Heron’s formula).
(b) Circle: Area and Circumference. Direct application problems including Inner and Outer area.
Areas of sectors of circles other than quarter-circle and semicircle are not included.
(c) Surface area and volume of 3-D solids: cube and cuboid including problems of type involving:
- Different internal and external dimensions of the solid.
- Cost.
- Concept of volume being equal to area of cross-section x height.
- Open/closed cubes/cuboids.
7. Trigonometry
(a) Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals.
(b) Trigonometric ratios of standard angles - 0, 30, 45, 60, 90 degrees. Evaluation of an expression involving these ratios.
(c) Simple 2-D problems involving one right-angled triangle.
(d) Concept of trigonometric ratios of complementary angles and their direct application:
sin A = cos (90 - A), cos A = sin (90 – A)
tan A = cot (90 – A), cot A = tan (90- A)
sec A = cosec (90 – A), cosec A=sec (90 – A)
8. Coordinate Geometry
Cartesian System, plotting of points in the plane for given coordinates, solving simultaneous linear equations in 2 variables graphically and finding the distance between two points using distance formula.
(a) Dependent and independent variables.
(b) Ordered pairs, coordinates of points and plotting them in the Cartesian plane.
(c) Solution of Simultaneous Linear Equations graphically.
(d) Distance formula.
INTERNAL ASSESSMENT
A minimum of two assignments are to be done during the year as prescribed by the teacher.
Suggested Assignments
- Conduct a survey of a group of students and represent it graphically - height, weight, number of family members, pocket money, etc.
- Planning delivery routes for a postman/milkman.
- Running a tuck shop/canteen.
- Study ways of raising a loan to buy a car or house, e.g. bank loan or purchase a refrigerator or a television set through hire purchase.
- Cutting a circle into equal sections of a small central angle to find the area of a circle by using the formula A = (pi) r2.
- To use flat cutouts to form cube, cuboids, and pyramids to obtain formulae for volume and total surface area.
- Draw a circle of radius r on a½ cm graph paper, and then on a 2 mm graph paper. Estimate the area enclosed in each case by actually counting the squares. Now try out with circles of different radii. Establish the pattern, if any, between the two observed values and the theoretical value [area = (pi) r2 ].
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