ICSE Class 10 Maths Syllabus 2025-26, ICSE Class 10 Exam Pattern

ICSE Class 10 Maths Syllabus:  The ICSE Class 10 Mathematics syllabus for the academic year 2025-26 released by the Council for the Indian School Certificate Examinations (CISCE) provides a comprehensive outline of the topics that students are expected to study.

ICSE Class 10 Maths Syllabus 2025-26 Overview

ICSE Class 10 Maths Syllabus 2025-26 Exam Pattern

• The exam consists of one two-and-a-half-hour paper carrying 80 points and an internal assessment worth 20 points.
• The paper is divided into two sections: Section I (40 points) and Section II (40 points).
• Section I comprises mandatory short answer questions.
• In Section II, candidates need to answer four out of seven questions.

ICSE Class 10 Chemistry Syllabus

ICSE Class 10 Maths Syllabus 2025-26 Aim

• To gain knowledge and grasp the meanings of terms, symbols, concepts, principles, processes, proofs, and more in mathematics.
• To build an understanding of mathematical concepts and how they can be applied in future studies related to mathematics and science.
• To acquire the ability to use mathematical knowledge for solving practical problems in everyday life.
• To cultivate the essential skills needed to operate modern technological devices like calculators and computers in real-life scenarios.
• To enhance drawing abilities and the skills to interpret tables, charts, and graphs.
• To foster an interest and curiosity in the subject of mathematics.

ICSE Class 10 Maths Syllabus 2025-26 Chapter-Wise

ICSE Class 10 Physics Syllabus

Chapter 1: Commercial Mathematics

• Income = number of shares × rate of dividend × FV.
• Return = (Income / Investment) × 100.

Chapter 2: Algebra

• (i) Linear Inequalities
  • Solving linear inequalities in one variable for x in N , W , Z , R .
  • Solution expressed algebraically and presented in set notation.
  • Illustration of the solution on the number line.
• (ii) Quadratic Equations in one variable
• (a) Nature of roots:
  • Two distinct real roots
  • Two equal real roots
  • No real roots
• (b) Solving quadratic equations by:
  • Factorization
  • Using formulas
  • (c) Solving simple quadratic equation problems.
• (iii) Ratio and Proportion
  • (a) Proportion, continued proportion, mean proportion.
  • (b) Properties of componendo, dividendo, alternendo, invertendo, and their combinations.
  • (c) Direct simple applications on proportions only.
• (iv) Factorization of polynomials
  • (a) Factor Theorem.
  • (b) Remainder Theorem.
  • (c) Complete factorization of a polynomial after obtaining one factor by the factor theorem.
• (v) Matrices
  • (a) Order of a matrix. Row and column matrices.
  • (b) Compatibility for addition and multiplication.
  • (c) Null and identity matrices.
  • (d) Addition and subtraction of 2x2 matrices.
  • (e) Multiplication of a 2x2 matrix by a non-zero rational number or another matrix.
• (vi) Arithmetic and Geometric Progression
  • Finding their general term.
  • Finding the sum of their first ‘n’ terms.
  • Simple applications.
• (vii) Coordinate Geometry
• (a) Reflection
  • Reflection of a point in a line ( x =0, y =0, x = a , y = a , and the origin).
  • Reflection of a point in the origin.
  • Invariant points.
• (b) Coordinates expressed as ( x , y ), section formula, midpoint formula, concept of slope, equation of a line, various forms of straight lines.
  • (i) Section and midpoint formula (internal section only, coordinates of the centroid of a triangle included).
• (ii) Equation of a line:
  • Slope–intercept form y = mx + c
  • Two-point form ( y − y 1​)= m ( x − x 1​)
  • Geometric understanding of ‘m’ as slope/gradient/tanθ where θ is the angle the line makes with the positive direction of the x-axis.
  • Geometric understanding of ‘c’ as the y-intercept/ordinate of the point where the line intercepts the y-axis/point on the line where x =0.
  • Conditions for two lines to be parallel or perpendicular.
  • Simple applications of all the above.

Chapter 3: Geometry

• The angle that an arc of a circle subtends at the center is double that which it subtends at any point on the remaining part of the circle.
• Angles in the same segment of a circle are equal (without proof).
• The angle in a semi-circle is a right angle.

• Opposite angles of a cyclic quadrilateral are supplementary.
• The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle (without proof).

• The tangent at any point of a circle and the radius through the point are perpendicular to each other.
• If two circles touch, the point of contact lies on the straight line joining their centers.
• From any point outside a circle, two tangents can be drawn, and they are equal in length.
• If two chords intersect internally or externally, then the product of the lengths of the segments is equal.
• If a chord and a tangent intersect externally, then the product of the lengths of segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
• If a line touches a circle and from the point of contact, a chord is drawn, the angles between the tangent and the chord are respectively equal to the angles in the corresponding alternate segments. Note: Proofs of the theorems given above are to be taught unless specified otherwise.

• (a) Construction of tangents to a circle from an external point.
• (b) Circumscribing and inscribing a circle on a triangle and a regular hexagon.

Chapter 4: Mensuration

Chapter 5: Trigonometry

• 1sin2 A +cos2 A =1
• 1+tan2 A =sec2 A
• 1+cot2 A =csc2 A where 0≤ A ≤90 ∘

Chapter 6: Statistics

• Measures of central tendency: mean, median, and mode for both raw and arranged data.
• Mean by all three methods: direct (Σ f ), short-cut (Σ f Σ fx ​), and step-deviation (Σ f ( x − A )​, where A is the assumed mean).
• (b) Graphical representation using histograms and less than ogive. Finding the mode from the histogram, as well as the upper quartile, lower quartile, and median from the ogive. Calculation of interquartile range.

Chapter 7: Probability

ICSE Class 10 Maths Syllabus 2025-26 Practical Work

• Compare news coverage of different topics in newspapers.
• Conduct a survey on various types of bank accounts and the interest rates they offer.
• Plan a home budget.
• Survey your local area to study transportation methods, prices of essential goods, and favorite sports. Represent the data using a bar graph or histogram and estimate the mode.
• Use a newspaper to study and report on shares and dividends.
• Set up a dropper with ink, positioned vertically 20 cm above a horizontally placed sheet of plain paper. Release one ink drop, observe any patterns on the paper. Vary the vertical distance and repeat the experiment to discover any relationships between the height and the observed ink drop patterns.
• Given three vertical sticks (size of a pencil) attached to a horizontal board and discs of varying sizes with holes (like a doughnut), start with one disc on stick A. Transfer it to another stick (B or C) to complete one move. Experiment with two discs placed in A, one below and one above, and transfer them one at a time to B or C to achieve a similar arrangement. Determine the number of moves required. Repeat the process with more discs (n = 1, 2, 3, etc.) and generalize your findings.
• The board features gaps for marbles, with red on one side and blue on the other. Begin with a pair and switch their positions one move at a time. Each move covers three holes. Experiment with two pairs (n=2) and beyond. Determine the connection between n and m.
• Take a square paper measuring 10 cm on each side. Remove four small squares from its corners, then fold the paper at the cuts to create an open box. Determine the square size for the cut corners to maximize the open box's volume.
• For the open box experiment, use four sets of marbles (each set with identical-sized marbles) and some water. Place marbles and water in the box and explore whether larger or smaller marbles occupy more space.
• An unconventional artist claims that the best paintings have an area equal to their perimeter (numerically). Find, in integers only, the dimensions a rectangle must have for its area and perimeter to be the same (Note: only two such rectangles exist).
• Discover the center of a circle by constructing it using only a 60-30 setsquare and a pencil.
• Explore various types of "cryptarithm."

ICSE Class 10 Maths Syllabus 2025-26 PDF Download Link

The PDF of the ICSE Class 10 Maths Syllabus for the academic year 2025-26 can now be downloaded from the official CISCE website. Students preparing for the upcoming Class 10 board exam can download the ICSE Class 10 Maths Syllabus and start their preparations. To make it easy for students, we've provided a direct link to download the ICSE Class 10 Maths Syllabus 2025-26 PDF below: