ICSE Class 10 Maths Syllabus

ICSE Class 10 Maths Syllabus For Academic Session 2025-2026

The ICSE Class 10 Mathematics syllabus is designed to provide students with a comprehensive understanding of various mathematical concepts and their applications. Here’s a detailed breakdown of the ICSE Class 10 Mathematics syllabus:

1. Commercial Mathematics

• Banking:
  • Calculation of interest on savings accounts, fixed deposits, and recurring deposits.
  • Simple interest and compound interest formulas and applications.
• Shares and Dividends:
  • Basic concepts of shares and dividends, calculation of dividends, market value, and face value of shares.
• GST (Goods and Services Tax):
  • Basic concepts of GST, calculation of GST, impact of GST on cost and pricing.

2. Algebra

• Linear Inequations:
  • Solutions of linear inequalities in one variable, graphical representation of solutions.
• Quadratic Equations:
  • Standard form of quadratic equations, methods of solving quadratic equations (factorization, completing the square, quadratic formula), nature of roots.
• Ratio and Proportion:
  • Concepts of ratio and proportion, properties of ratios, continued proportion.
• Factorization:
  • Factorization of algebraic expressions, methods such as common factor method, regrouping method, difference of squares, trinomials, and algebraic identities.
• Matrices:
  • Introduction to matrices, types of matrices, operations on matrices (addition, subtraction, multiplication), determinant of a matrix, inverse of a matrix (for 2x2 matrices).
• Arithmetic Progressions (AP):
  • Definition of AP, nth term of an AP, sum of first n terms of an AP.

3. Geometry

• Similarity:
  • Similar triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, applications of similarity in different triangles.
• Circles:
  • Properties of circles, tangent to a circle, properties of tangents from a point to a circle.
• Constructions:
  • Construction of tangents to a circle, construction of triangle similar to a given triangle.

4. Mensuration

• Cylinder, Cone, and Sphere:
  • Surface area and volume of a cylinder, cone, and sphere, combination of solids, conversion of one solid into another.
• Surface Area and Volume:
  • Problems involving surface area and volume of combinations of solids, frustum of a cone.

5. Trigonometry

• Trigonometric Identities:
  • Proof and applications of identities like sin⁡2A+cos⁡2A=1\sin^2A + \cos^2A = 1sin2A+cos2A=1, sec⁡2A−tan⁡2A=1\sec^2A - \tan^2A = 1sec2A−tan2A=1, and cosec⁡2A−cot⁡2A=1\cosec^2A - \cot^2A = 1cosec2A−cot2A=1.
• Trigonometric Tables:
  • Use of trigonometric tables for finding values of trigonometric functions at specific angles.
• Heights and Distances:
  • Problems involving angles of elevation and depression, application of trigonometric ratios in real-life problems involving heights and distances.

6. Statistics

• Measures of Central Tendency:
  • Mean, median, mode for ungrouped and grouped data, cumulative frequency distribution.
• Graphical Representation:
  • Histogram, bar graph, pie chart, ogive (cumulative frequency curve).

7. Probability

• Basic Concepts:
  • Experimental probability, theoretical probability, simple problems on single events.

8. Co-ordinate Geometry

• Section Formula:
  • Internal and external division of a line segment, midpoint formula.
• Equation of a Line:
  • Slope of a line, equations of a line in various forms (slope-intercept form, point-slope form, two-point form, intercept form).
• Distance Formula:
  • Calculation of distance between two points in a Cartesian plane.

9. Conic Sections

• Circle:
  • Equation of a circle in standard form, general equation of a circle, finding the center and radius of a circle from its equation.
• Parabola:
  • Equation of a parabola in standard form, focus, and directrix.
• Ellipse and Hyperbola:
  • Introduction to the basic concepts of ellipse and hyperbola.

10. Vectors

• Introduction to Vectors:
  • Representation of vectors, magnitude, and direction of vectors, types of vectors (unit, zero, collinear, coplanar).
• Addition and Subtraction of Vectors:
  • Triangle law of vector addition, parallelogram law of vector addition, subtraction of vectors.
• Scalar (Dot) Product:
  • Definition, properties, and application of the dot product.

11. Graphical Representations

• Graphing of Linear Equations:
  • Plotting linear equations on the Cartesian plane, interpretation of graphs, intersection points, and their significance.
• Graphical Solution of Linear Inequations:
  • Graphical representation of solutions to linear inequalities.

This syllabus aims to develop mathematical thinking and problem-solvin