CISCE ICSE Class 10 Maths Syllabus - Free PDF Download
CISCE Syllabus 2025-26 ICSE Class 10 : The CISCE ICSE Class 10 Maths Syllabus for the examination year 2025-26 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 2025-26 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 2025-26 is below.
Academic year:
CISCE ICSE Class 10 Mathematics Revised Syllabus
CISCE ICSE Class 10 Mathematics and their Unit wise marks distribution
CISCE ICSE Class 10 Mathematics Course Structure 2025-26 With Marking Scheme
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Syllabus
1: Commercial Mathematics [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
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.
1 Goods and Services Tax (G.S.T.) [Revision]
- Taxes in Mathematics
- Introduction
- Definition: Direct Taxes
- Definition: Indirect Taxes
- Formula: Selling price (Discounted price )= List price − Discount
- 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
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]
- Important Terms Used in Shares
- Definition: Capital
- Definition: Shares
- Definition: Shareholder
- Definition: Dividend
- Definition: Nominal Value / Face Value / Par Value (N.V.)
- Definition: Market Value (M.V.)
- Share Price Conditions
- 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
- Linear Inequations in One Variable
- Solving Algebraically and Writing the Solution in Set Notation Form
- Representation of Solution on the Number Line
5 Quadratic Equations [Revision]
- Quadratic Equations
- Standard Form of a Quadratic Equation
- Solutions of Quadratic Equations by Factorization
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
6 Problems on Quadratic Equations [Revision]
- Problems Based on Numbers
- Problems Based on Time and Work
- Problems Based on Geometrical Figures
- Problems Based on Distance, Speed and Time
- Problems on C.P. and S.P.
- Miscellaneous Problems
7 Ratio and Proportion [Revision]
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
- Proportion
- Definition: Proportion
- Rules of Proportion
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
- Key Points Summary
- Componendo and Dividendo Properties
- Alternendo and Invertendo Properties
- Direct Applications
8 Remainder Theorem and Factor Theorem [Revision]
- Factor Theorem
- Remainder Theorem
- Factorising a Polynomial Completely After Obtaining One Factor by Factor Theorem
Note: f (x) not to exceed degree 3
9 Matrices [Revision]
- Introduction of Matrices
- Matrices
- Determinants
- Cramer’s Rule
- Application in Economics
- Addition and Subtraction of Matrices
- Multiplication of Matrix
Multiplication of a 2*2 matrix by
- a non-zero rational number
- a matrix
- Matrices Examples
- Types of Matrices
- Types of Matrices
- Row Matrix
- Column Matrix
- Square Matrix
- Rectangular Matrix
- Zero or Null Matrix
- Diagonal Matrix
- Unit or Identity Matrix
- Transpose of a Matrix
- Equality of Matrices
- Types of Matrices
10 Arithmetic Progression [Revision]
- Arithmetic Progression - Finding Their General Term
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Simple Applications of Arithmetic Progression
- Advance Concept of Arithmetic mean
- Properties of an Arithmetic Progression
11 Geometric Progression [Revision]
- Geometric Progression - Finding Their General Term.
- Geometric Progression - Finding Sum of Their First ‘N’ Terms
- Simple Applications - Geometric Progression
12 Reflection [Revision]
- Advanced Concept of Refelction in Mathematics
(a) Reflection of a point in a line:-
- x=0, y =0, x= a, y=a, the origin.
(b) Reflection of a point in the origin.
(c) Invariant points.
- Invariant Points.
13 Section and Mid-Point Formulae [Revision]
- Co-ordinates Expressed as (x,y)
- Distance Formula
- Section Formula
- The Mid-point of a Line Segment (Mid-point Formula)
- Points of Trisection
- Centroid of a Triangle
14 Equation of a Line [Revision]
- Slope of a Line
- Slopes of X-axis, Y-axis and lines parallel to axes.
- Slope of line – using ratio in trigonometry
- Slope of Parallel Lines
- Concept of Slope
- Equation of a Line
- Various Forms of Straight Lines
- General Equation of a Line
- Slope – Intercept Form
- y = mx+c
- Two - Point Form
- (y-y1) = m(x-x1)
- Geometric Understanding of ‘m’ as Slope Or Gradient Or 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 Or the Ordinate of the Point Where the Line Intercepts the y Axis Or the Point on the Line Where x=0
- Conditions for Two Lines to Be Parallel Or Perpendicular
- Simple Applications of All Co-ordinate Geometry.
- Collinearity of Three Points
3: Geometry [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
4 Symmetry [Revision]
15 Similarity [Revision]
- Similarity of Figures
- Definition: Similarity of Figures
- Examples
- Congruency of Figures
- Definition: Congruency of Figures
- Similarity as a Size Transformation
- Enlargement - Method
- Reduction - Method
- Size Transformation
- Definition: Size Transformation
- Definition: Image
- Properties of Size Transformation
- Direct Applications Based on the Above Including Applications to Maps and Models
- Model
- Map
- Similar Triangles
- Definition: Similar Triangles
- Explanation
- Corresponding Sides and Angles
- Corresponding Sides
- Corresponding Angles
- Similarity Axioms/Postulates
- SAS - Axiom/Postulate
- AA or AAA - Axiom/Postulate
- SSS - Axiom/Postulate
- Basic Proportionality Theorem
- Theorem
- Converse of Basic Proportionality Theorem
- Theorem
- Areas of Triangles and Similar Triangles
- Theorem 1
- Theorem 2
- Theorem 3
- Theorem 4
16 Loci [Revision]
- Locus
- Definition: Locus
- Examples
- Explanation
- Points Equidistant from Two Given Points
- Theorem
- Points Equidistant from Two Intersecting Lines
- Theorem
- Summary
(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.
17 Angle and Cyclic Properties of a Circle [Revision]
- Areas of Sector and Segment of a Circle
- Area of the Sector and Circular Segment
- Length of an Arc
- Tangent Properties - 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
- Tangent Properties - 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
- Tangent to a Circle
- Tangent theorem: A tangent at any point of a circle is perpendicular to the radius through the point of contact.
- Number of Tangents from a Point on a Circle
Theorem - The Length of Two Tangent Segments Drawn from a Point Outside the Circle Are Equal
- Chord Properties - a Straight Line Drawn from the Center of a Circle to Bisect a Chord Which is Not a Diameter is at Right Angles to the Chord
- Chord Properties - the Perpendicular to a Chord from the Center Bisects the Chord (Without Proof)
- Properties of Congruent Chords
- Chord Properties - There is One and Only One Circle that Passes Through Three Given Points Not in a Straight Line
- Arc and Chord Properties - 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
- Theorem: Angles in the Same Segment of a Circle Are Equal.
- Arc and Chord Properties - Angle in a Semi-circle is a Right Angle
- Arc and Chord Properties - If Two Arcs Subtend Equal Angles at the Center, They Are Equal, and Its Converse
- Arc and Chord Properties - If Two Chords Are Equal, They Cut off Equal Arcs, and Its Converse (Without Proof)
- Arc and Chord Properties - If Two Chords Intersect Internally Or Externally Then the Product of the Lengths of the Segments Are Equal
- Cyclic Properties
- Opposite Angles of a Cyclic Quadrilateral Are Supplementary
- The Exterior Angle of a Cyclic Quadrilateral is Equal to the Opposite Interior Angle (Without Proof)
- Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers
18 Tangent Properties of Circles [Revision]
19 Constructions [Revision]
- Circumscribing and Inscribing a Circle on a Regular Hexagon
- Circumscribing and Inscribing a Circle on a Triangle
- Construction of Tangents to a Circle
- Construction of Tangent to the Circle from the Point Out Side the Circle
- To construct the tangents to a circle from a point outside it
- Circumference of a Circle
- Circumscribing and Inscribing Circle on a Quadrilateral
4: Mensuration [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
- Circumference of a Circle
- Circle - Direct Application Problems Including Inner and Outer Area
- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- Surface area of a sphere
- Hemisphere
- Hollow Hemisphere
- Volume of a Cylinder
- Volume of a Combination of Solids
- Surface Area of Cylinder
- Right Circular Cylinder
- Hollow Cylinder
20 Volume and Surface Area of Solids (Cylinder, Cone and Sphere) [Revision]
5: Trigonometry [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities
- Heights and Distances - Solving 2-D Problems Involving Angles of Elevation and Depression Using Trigonometric Tables
- Trigonometry
21 Trigonometrical Identities [Revision]
22 Heights and Distances [Revision]
6: Statistics [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
- Median of Grouped Data
- Ogives (Cumulative Frequency Graphs)
- Concepts of Statistics
- Graphical Representation of Data as Histograms
- Construction of a histogram for continuous frequency distribution
- Construction of histogram for discontinuous frequency distribution.
- Graphical Representation of Ogives
- Finding the Mode from the Histogram
- Finding the Mode from the Upper Quartile
- Finding the Mode from the Lower Quartile
- Finding the Median, upper quartile, lower quartile from the Ogive
- Calculation of Lower, Upper, Inter, Semi-Inter Quartile Range
- Mean of Grouped Data
- Mean of Ungrouped Data
- Median of Ungrouped Data
- Mode of Ungrouped Data
- Mode of Grouped Data
- Mean of Continuous Distribution
23 Graphical Representation of Statistical Data [Revision]
24 Measures of Central Tendency (Mean, Median, Quartiles and Mode) [Revision]
7: Probability [Revision]
CISCE ICSE Class 10 Mathematics Syllabus
- Basic Ideas of Probability
- Probability - A Theoretical Approach
- Classical Definition of Probability
- Type of Event - Impossible and Sure Or Certain
- assume that all the experiments have equally likely outcomes, impossible event, sure event or a certain event, complementary events,
- Sample Space
- Type of Event - Complementry
- Simple Problems on Single Events
Not using set notation
- Random Experiments
- Measurement of Probability
25 Probability [Revision]
