CISCE ICSE Class 10 Maths Syllabus - Free PDF Download
CISCE Syllabus 2026-27 ICSE Class 10 : The CISCE ICSE Class 10 Maths Syllabus for the examination year 2026-27 has been released by the Council for the Indian School Certificate Examinations, CISCE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2026-27 CISCE ICSE Class 10 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CISCE syllabus to prepare for their annual exam properly.
The detailed CISCE ICSE Class 10 Maths Syllabus for 2026-27 is below.
Academic year:
CISCE ICSE Class 10 Mathematics Revised Syllabus
CISCE ICSE Class 10 Mathematics Course Structure 2026-27 With Marking Scheme
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Syllabus
1: Commercial Mathematics [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
1 Goods and Services Tax (G.S.T.) [Revision]
- Tax and Its Computation
- Introduction
- Definition: Direct Taxes
- Definition: Indirect Taxes
- Formula
- Computation of Tax
- Examples
- Mathematical Study of GST (Goods and Services Tax)
- Introduction
- Definition: Goods
- Definition: Services
- Definition: GST
- Reasons for GST
- Characteristics of GST
- GST rate slabs
- Benefits of GST
- GST Structure for Calculations
- Definition: CGST
- Definition: SGST / UTGST
- Definition: IGST
- Intra-state vs inter-state supply
- GST calculations
- Computational Mechanisms under GST
- GST as a value-added tax
- Definition: Reverse Charge Mechanism (RCM)
- Definition: Composition Scheme
- Input Tax Credit (ITC) in Mathematics
- Introduction
- Definition: Input Tax Credit
- Formula: GST Payable = Output GST − ITC
- Conditions to claim and Utilization of ITC
- Definition: E-Ledgers
- GST Returns
- Examples
- E-way Bill in GST Sums
- Introduction
- E-way Bill Number (EBN)
- Examples based on GST Calculations
1 Compound Interest [Revision]
- Concept of Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
A = P (1+ r /100)n
- 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.
- Rate of growth and depreciation
Note: Paying back in equal installments, being given rate of interest and installment amount, not included.
2 Banking [Revision]
- Money and Banking in Arithmetic
- Introduction to Banks
- Definition: Bank and Banking
- Functions of a Bank
- Financial Transactions
- Bank Accounts
- Mathematics of Recurring Deposit (R.D.)
- Definition: R.D. Account
- Maturity Period:
- Maturity Value (M.V.):
- Formula: Equivalent Principal for One Month
- Formula: Interest on R.D. Account
- Formula: Maturity Value (M.V.)
- Examples
3 Shares and Dividends [Revision]
- Shares
- Formulae for Shares and Dividends
- Formula: Investment
- Formula: No. of Shares
- Formula: Income (Dividend)
- Formula: Total Dividend
- Formula: Rate of return
- Definition: A Relation for a shareholder
- Examples based on Shares and Dividends
2: Algebra [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
4 Linear Inequations [Revision]
- Linear Inequations
- Definition: Linear lnequations
- Signs of Inequality
- Definition: Replacement Set / Domain of Variable
- Definition: Solution Set
- Properties
- Method of Solving a Linear Inequality
- Rules to solve inequation
- Representation of Inequalities
- Combining Inequalities
- Product of Two Linear Expressions
- Fundamental Rules(law)
- Examples
5 Quadratic Equations [Revision]
- Quadratic Equations
- Definition: Quadratic Equation
- Definition: Roots of a Quadratic Equation
- Types of Quadratic Equations
- Definition: Solution Set
- Examples
- Method of Solving a Quadratic Equation
- Definition: Extraneous Values
- Zero Product Rule(law)
- Method of Factorization(law)
- Examples
- Quadratic Formula (Shreedharacharya's Rule)
- Definition: Discriminant
- Formula
- Examples
- Nature of Roots of a Quadratic Equation
- Nature of roots(law)
- Equations Reducible to Quadratic Equations
- Rule(law)
- Examples
6 Problems on Quadratic Equations [Revision]
- Method for Solving a Quadratic Word Problem
- Problems Based on Numbers
- Important Terms(law)
- Examples
- Problems on Ages
- Important Terms(law)
- Examples
- Problems Based on Time and Work
- Important Terms(law)
- Examples
- Problems Based on Distance, Speed and Time
- Important Terms(law)
- Examples
- Problems Based on Geometrical Figures
- Important Terms(law)
- Examples
- Problems on Mensuration
- Important Terms(law)
- Examples
- Problems on C.P. and S.P.
- Important Terms(law)
- Examples
- Miscellaneous Problems
- Important Terms(law)
- Examples
7 Ratio and Proportion [Revision]
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
- Ratio in Lowest Terms
- All About Ratios: Dividing, Comparing, and Modifying Quantities
- To Divide a Given Quantity in a Given Ratio
- Examples of Dividing Quantities in a Given Ratio
- Comparing the Ratios
- Examples of Comparing Ratios
- Increase or Decrease in a Given Ratio
- Examples of Increase or Decrease in a Ratio
- Real-Life Applications
- Key Points Summary
- Commensurable and Incommensurable Quantities
- Composition of Ratios
- Proportion
- Definition: Proportion
- Rules of Proportion
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
- Key Points Summary
- Concept of Continued Proportion
- Definition: Continued Proportion
- Formula
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
- Properties of Proportion
- Direct Applications of Ratio and Proportion
8 Remainder Theorem and Factor Theorem [Revision]
- Function and Polynomial
- Division Algorithm
- Important Identities
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
9 Matrices [Revision]
- Concept of Matrices
- Matrices
- Determinants
- Cramer’s Rule
- Application in Economics
- Types of Matrices
- Row Matrix
- Column Matrix
- Zero or Null matrix
- Square Matrix
- Diagonal Matrix
- Scalar Matrix
- Unit or Identity Matrix
- Upper Triangular Matrix
- Lower Triangular Matrix
- Triangular Matrix
- Symmetric Matrix
- Skew-Symmetric Matrix
- Determinant of a Matrix
- Singular Matrix
- Transpose of a Matrix
- Equality of Matrices
- Determine equality of two matrices
- Compatibility of Matrices
- Transpose of a Matrix
- Properties of Matrix Addition
- Commutative Law
- Associative Law
- Existence of additive identity
- The existence of additive inverse
- Properties of Matrix Multiplication
- Operation on Matrices
10 Arithmetic Progression [Revision]
- Sequence, Series, and Progression
- Arithmetic Progression (A.P.)
- General Term of an Arithmetic Progression
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Three or More Terms in Arithmetic Progression (A.P.)
- Three terms in A.P. :- a - d, a, a + d
- Arithmetic Mean in A.P.
- Properties of an Arithmetic Progression
11 Geometric Progression [Revision]
- Sequence, Series, and Progression
- Geometric Progression (G. P.)
- Nth Term of Geometric Progression (G.P.)
- General Term of a Geometric Progression (G.P.)
- Sum of First N Terms of a Geometric Progression (G.P.)
- Sum of infinite terms of a G.P.
- Geometric Mean (G.M.)
- General Term of an Geometric Progression
- Properties of Geometric Progression
- Sum to' n' Terms of a Geometric Progression
- Sum to infinite terms of a G.P.
- Geometric Mean
12 Reflection [Revision]
- Co-ordinate Geometry
- Co-ordinate Axes
- Coordinates of a Point
- Important Results
- Advanced Concept of Reflection in Mathematics
- Definition: Reflection
- Mirror line or mediator
- Image Formation by Reflection
- Reflection of a Point in Axes and Lines Parallel to Axes
- Invariant Points
- Definition: Invariant Point
- Examples
- Combination of Reflections
- Using Graph Paper for Reflection
13 Section and Mid-Point Formulae [Revision]
- Section Formula
- Formula
- Division of Line Segment
- Proof
- Examples
- Points of Trisection
- Definition: Points of Trisection
- Examples
- Mid-Point Formula
- Formula
- Examples
- Formula for the Centroid of a Triangle
- Formula
- Example
14 Equation of a Line [Revision]
- Equations of Line in Different Forms
- y = mx+c
- Inclination of a Line
- Concept of Slope (or, gradient)
- Slope of a Line Or Gradient of a Line.
- Parallelism of Line
- Perpendicularity of Line in Term of Slope
- Collinearity of Points
- Slope of a line when coordinates of any two points on the line are given
- Conditions for parallelism and perpendicularity of lines in terms of their slopes
- Angle between two lines
- Collinearity of three points
- Intercepts on Axes
- Equally Inclined lines
- Slope of a Straight line
- Slopes of parallel lines
- Slopes of perpendicular lines
- Problems Based on Slope and Y-Intercept
3: Geometry [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
4 Symmetry [Revision]
15 Similarity [Revision]
- Similarity and Congruency of Figures
- Definition: Similarity of Figures
- Examples
- Similarity as a Size Transformation
- Enlargement - Method
- Reduction - Method
- Applications to Maps and Models
- Model
- Map
- Similarity of Triangles (Corresponding Sides & Angles)
- Corresponding Sides
- Corresponding Angles
- Criteria for Similarity of Triangles
- Basic Proportionality Theorem
- Theorem
- Relation Between the Areas of Two Triangles
Theorem 2 - The areas of two similar triangles are proportional to the squares on their corresponding sides.
16 Loci [Revision]
- Locus
- Equation of a locus
- Points Equidistant from Two Given Points
- Theorem
- Points Equidistant from Two Intersecting Lines
- Theorem
- Summary of Important Results on Locus
(a) The locus of a point equidistant from a fixed point is a circle with the fixed point as centre.
(b) The locus of a point equidistant from two interacting lines is the bisector of the angles between the lines.
(c) The locus of a point equidistant from two given points is the perpendicular bisector of the line joining the points.
- Important Points on Concurrency in a Triangle
17 Angle and Cyclic Properties of a Circle [Revision]
- Geometrical Concepts Related to a Circle
- Chord
- Arc of the Circle
- Introduction
- Formation of Arcs
- Minor Arc
- Major Arc
- Key Points Summary
- Segment of a Circle
- Introduction
- Types of Segments
- Key Points Summary
- Theorems on Angles in a Circle
- Cyclic Quadrilateral and Concyclic Points
- Some Important Results on Circles
- Advanced Theorems Related to Circles
18 Tangent Properties of Circles [Revision]
- Secant and Tangent
- Introduction
- Definition: Secant
- Definition: Tangent
- Key Points Summary
- Tangent and Secant Properties
- Intersecting Chords and Tangents
- Alternate Segment Property
19 Constructions [Revision]
- Construction of Tangents to a Circle
- When the Centre of the Circle is Known
- When the Centre of the Circle is Not Known
- Construction of Two Tangents to a Circle
- Using the Centre of the Circle
- Without Using the Centre of the Circle
- Circumcircle of a Triangle
- Introduction
- Definition: Circumcircle
- Definition: Circumcenter
- Definition: Circumradius
- Step-by-Step Construction
- Position of Circumcenter in Different Triangles
- Key Points Summary
- Incircle of a Triangle
- Introduction
- Definition: In-Circle
- Definition: Incenter
- Definition: Inradius
- Step-by-Step Construction
- Key Points Summary
- Circumscribed Circle of a Regular Polygon
- Inscribed Circle of a Regular Polygon
4: Mensuration [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
20 Volume and Surface Area of Solids (Cylinder, Cone and Sphere) [Revision]
- Mensuration of Cylinder
- Definition: Cylinder
- Properties of a Cylinder
- Activity 1
- Activity 2
- Hollow Cylinder
- Mensuration of Cones
- Definition: Cone
- Types of Cones
- Properties of a Cone
- Activity
- Mensuration of a Sphere
- Surface area of a sphere
- Hemisphere
- Hollow Hemisphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
- Important Terms(law)
- Examples
5: Trigonometry [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
21 Trigonometrical Identities [Revision]
22 Heights and Distances [Revision]
- Angles of Elevation and Depression
- Definition: Line of Sight
- Definition: Angles of Elevation
- Definition: Angle of Depression
- Problems based on Elevation and Depression
6: Statistics [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
23 Graphical Representation of Statistical Data [Revision]
- Frequency Distribution and Its Applications
- Introduction
- Frequency Distribution & Data Arrangement
- Structure of a Frequency Distribution Table
- Example
- Real-life Applications
- Key Points Summary
- Concepts of Statistics
- Histograms
- Frequency Polygon
- Cumulative Frequency and Cumulative Frequency Table
- Ogives (Cumulative Frequency Curve)
24 Measures of Central Tendency (Mean, Median, Quartiles and Mode) [Revision]
- Measures of Central Tendency for Different Data Types
- Introduction
- Measures
- Arithmetic Mean
- Mean of Grouped Data
- Basic Concept of Median
- Definition: Median
- Formula: Odd Number of Observations
- Formula: Even Number of Observations
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Basic Concept of Mode
- Quartiles and Range in Statistics
7: Probability [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
25 Probability [Revision]
