ICSE Class 10 Maths Syllabus 2025-26: Download curriculum PDF here

ICSE class 10 Mathematics curriculum: The updated curriculum for ICSE class 10 for the academic year 2025–26 is now available. The Council for the Indian School Certificate Examinations (CISCE) has published the Mathematics curriculum, including details on the course structure, the marking scheme and the examination pattern for the upcoming board tests. This article contains the complete curriculum format in a clear and student -friendly format to effectively prepare the students.

This article contains a comprehensive curriculum of mathematics for the academic meeting 2025–26, since there are no significant changes in the ICSE class -10 mathematics. The board tests are based on the full curriculum. The students are recommended to carefully check the latest math curricula to understand the topics treated and the examination pattern for the year.

ICSE class 10 Mathematics curriculum 2025-26

1. Commercial mathematics

(i) Tax and service tax (GST)

Calculation of the tax, including problems with discounts, list price, profit, loss, basic/cost price including inverse cases. The candidates also expect the consumer to pay the price after payment of the state goods and service tax (SGST) and central goods and service tax (CGST). Problems based on corresponding inverse cases are also included.

(II) Bank business

Recurring deposit accounts: calculation of interest and ripening value using the formula:

(iii) stocks and dividends

(a) Face/nominal value, market value, dividend, dividend rate, premium.

(b) formulas

• Income = number of stock rate of the dividend FV.
• Return = (income / investment) 100.

Note: Brokerage and fractional shares.

2. Algebra

(i) Linear inequalities

Linear inequalities in an unknown for X ϵ N, W, Z, R. Solution:

• Algebraisch and write the solution in set notation form.
• Representation of the solution in the number line.

(ii) square equations in a variable

(a) Nature of the roots

• Two different real roots when B2 – 4ac> 0
• Two equal real roots when B2 – 4ac = 0
• No real roots if B2 – 4ac <0

(b) Solve square equations after:

• Factorization
• Use of formula.

(c) solve simple square equations.

(iii) relationship and relationship

(a) Share, persistent ratio, medium proportion

(b) Componento, Dividendo, Alternendo, Invertendo properties and their combinations.

(c) Only direct applications for proportions.

(IV) Factorization of polynomials:

(a) factor -theorem.

(b) residual sentence.

(c) Factorizing a polynomial fully after you have received a factor through factor -theorem.

Note: f (x) do not exceed grade 3.

(v) matrices

(a) order of a matrix. Line and column matrices.

(b) Compatibility for addition and multiplication.

(c) zero and identity matrices.

(d) Addition and subtraction of 2×2 matrices.

(e) Multiplication of a 2×2 matrix after

• a rational number unevenly zero
• A matrix

(VI) Arithmetic and geometric progression

• Find your general term.
• Find the sum of their first 'n' terms.
• Simple applications.

(VII) Coordinate geometry

(a) reflection

(i) Reflection of a point in a line: x = 0, y = 0, x = a, y = a, the origin.

(ii) reflection of a point in the origin.

(iii) Invariant points.

(b) Coordinates as (X, Y), section formula, center formula, concept of incline, equation of a line, different forms of the straight lines.

(i) Section and focus formula (only internal section, coordinates of the focus of a triangle).

(ii) equation of a line:

• Charge – Intercept form Y = MX C
• Two-point form (Y-Y1) = M (X-X1) Geometric understanding of 'M' as a slope/ gradient/ tan where is the angle that the line makes with the positive direction of the x axis. Geometric understanding of 'C' as a Y cutting point/ the ordinate of the point at which the line intercepts the y-axis/ point on the line, with x = 0.
• Conditions for two lines that are parallel or vertical.

Simple applications of all above.

3. Geometry

(a) Similarity

Similarity, conditions of similar triangles.

(i) as a size transformation.

(ii) Comparison with the congruence, keyword relationship.

(III) Three conditions: SSS, SAS, aa. Simple applications (evidence not included).

(IV) Applications of the basic proportionality rate.

(v) areas of similar triangles are proportional to the squares of the corresponding pages.

(VI) Direct applications based on the above inclusions on maps and models.

(b) Loci

Loci: Definition, meaning, theorems and constructions based on Loci.

(i) The location of a point at a firm distance from a fixed point is a circle with the fixed point as the center and firm distance as a radius.

(II) The place of a point equidist from two crossing lines is the halier sector of the angle between the lines.

(iii) The place of a point equalization from two specified points is the vertical habitally sector of the line that connects the points.

Not required.

(c) circles

(i) angle properties

• The angle that subtils a circle in the middle is twice as high as what it subtly subtiles at any point on the remaining part of the circle.
• Angle in the same circular segment are the same (without evidence).
• The angle in a semicircle is a right angle.

(II) Cyclical properties:

• The opposite of a cyclical square are added.
• The outer angle of a cyclical square corresponds to the opposite interior angle (without evidence).

(III) Tangent and secondary properties:

• The tangent at a point of a circle and the radius through the point are perpendicular to each other.
• When two circles touch, the contact point is on the straight line and connects its centers.
• Two tangents can be pulled from each point outside of a circle and are equally long.
• If two chords cut internally or externally, the product of the length of the segments is the same.
• When a chord and a tangent cut outwards, the product of the length of the segments of the chord is equally the square of the length of the tangent from the contact point to the intersection.
• If a line touches a circle and a chord is drawn from the contact point, the angles between the tangent and the chord are equal to the angles in the corresponding alternative segments.

Note: Evidence of the theorems given above must be conveyed, unless otherwise stated.

(IV) Constructions

(a) Construction of tangents into a circle of an external point.

(b) Description and writing of a circle on a triangle and a regular hexagon

4. Mensuration

Area and volume of the solid – cylinder, cone and ball. Three -dimensional solid – right circular cylinder, right -wing circular cone and ball: area (total surface and curved surface) and volume.

Direct application problems including costs, internal and external volume as well as melting and conversion methods to determine the volume or surface of a new solid. Combination of solid bodies contained.

Note: Problems on Frustum are not included.

5. Trigonometry

(a) Use identities to solve/prove simple algebraic trigonometric expressions

sin²A + COS²A = 1

1 + TAN²A = sec²A

1+cot²A = cosec²A; 0 ≤ a ≤ 90⁰

(b) Heights and distances: Loosening 2-D problems with altitude and depression angles using trigonometric tables.

Note: Cases in which more than two right -angled triangles are excluded.

6. Statistics

Statistics – basic concepts, mean, median, mode. Histograms and Ogive.

(a) Calculation of: Measurements of the central tendency: mean, median, mode for raw and array data. Average*, middle class and modal class for grouped data. (both continuously and discontinuous).

• Funds using all 3 methods contained:

(b) Graphical representation. Histograms and less than Ogive.

• Find the mode from the histogram, the upper quartile, the lower quartile and the median etc. from the Ogive.
• Calculation of the interquartile area.

7. Probability

Random experiments, sample space, events, definition of the probability, simple problems with individual events.

To check more details on the ICSE Class 10 Maths Curriculum and the components of the internal rating, download the full curriculum below: