ICSE Class 10 Maths Syllabus

BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterICSE Class 10 Maths Syllabus
Chapter NameChapter 1 Real Numbers
Categoryboards

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