Mathematics / Applied Mathematics
IGCSE / O Level
- Number — Indices, Standard Form, Ratio
- Algebra — Quadratics, Simultaneous Equations, Inequalities
- Coordinate Geometry — Gradient, Equation of a Line
- Geometry and Mensuration — Circle Theorems, Vectors
- Trigonometry — Sine/Cosine Rules, Bearings
- Statistics and Probability — Histograms, Cumulative Frequency
AS & A Level
- Pure Mathematics — Functions, Series, Differentiation, Integration
- Further Pure — Complex Numbers, Matrices, Polar Coordinates
- Mechanics — Forces, Kinematics, Newton's Laws
- Probability & Statistics — Distributions, Hypothesis Testing
- Decision Mathematics (optional)
Detailed chapter-wise breakdown and session plans for IGCSE will be populated soon. For a customized study plan, please get in touch.
Standard Level (SL)
- Number and Algebra — Sequences, Logs, Binomial Theorem
- Functions — Transformations, Composite, Inverse
- Geometry and Trigonometry — Unit Circle, Identities
- Statistics and Probability — Distributions, Hypothesis Testing
- Calculus — Differentiation and Integration Fundamentals
Higher Level (HL)
- Complex Numbers and Proof by Induction
- Further Functions — Rational, Factor/Remainder Theorems
- Vectors — Lines and Planes in 3D
- Advanced Calculus — Maclaurin Series, Differential Equations
- Probability — Continuous Distributions, Bayes' Theorem
- Mathematical Exploration (Internal Assessment)
Detailed chapter-wise breakdown and session plans for IB will be populated soon. For a customized study plan, please get in touch.
Select Grade:
Subject Track
Mathematics (Standard) (ICSE Class 10)
Unit 1
Commercial Mathematics
- Goods and Services Tax (GST) — Computation of Tax, Input Tax Credit (ITC)
- Banking — Recurring Deposit (RD) Accounts, Interest & Maturity Value
- Shares and Dividends — Face Value, Market Value, Dividend Rate & Income
Unit 2
Algebra
- Linear Inequations in One Variable (Real Numbers)
- Quadratic Equations — Solution by Factorization & Quadratic Formula, Word Problems
- Factorization of Polynomials — Factor & Remainder Theorem
- Matrices — Order (2x2), Addition, Subtraction, Multiplication, Identity Matrix
- Arithmetic & Geometric Progressions — nth Term, Sum of n Terms
Unit 3
Coordinate Geometry
- Reflection — Point Reflection in Axes and Origin
- Section and Mid-Point Formula
- Equation of a Straight Line — Slope, Intercept, Parallel & Perpendicular Lines
Unit 4
Geometry
- Similarity — Axioms of Similarity, Areas of Similar Triangles
- Loci — Locus of Points at Given Distance from Point/Line
- Circles — Chord Properties, Arc & Angle Properties, Cyclic Quadrilaterals, Tangents & Intersecting Chords
Unit 5
Mensuration
- Cylinder, Cone, and Sphere — Surface Area and Volume of Combinations of Solids
Unit 6
Trigonometry
- Trigonometric Identities — Proofs & Applications
- Heights and Distances — Angles of Elevation & Depression (Solvable using 30°, 45°, 60°)
Unit 7
Statistics & Probability
- Statistics — Mean (Direct, Short-cut, Step-deviation), Median & Mode (Ogives & Histograms)
- Probability — Single Event Sample Space & Probability Calculations
Source: CISCE Official Regulations & Syllabuses (Subject Codes 860 & 885) — Verified from cisce.orgOfficial Source
Select Grade:
Subject Track
Mathematics (Standard / Basic) (Code 041)
Unit I
Number Systems
- Real Numbers — Fundamental Theorem of Arithmetic
- Proof of Irrationality of √2, √3, √5
- Decimal Expansions of Rational Numbers
Unit II
Algebra
- Polynomials — Zeros of a Polynomial, Relationship between Zeros and Coefficients
- Pair of Linear Equations in Two Variables — Graphical & Algebraic Methods
- Quadratic Equations — Standard Form, Quadratic Formula, Discriminant & Nature of Roots
- Arithmetic Progressions — nth Term, Sum of First n Terms, Practical Applications
Unit III
Coordinate Geometry
- Lines in 2D — Distance Formula, Section Formula (Internal Division)
Unit IV
Geometry
- Triangles — Similar Triangles, Basic Proportionality (Thales) Theorem & Converses
- Circles — Tangent to a Circle, Theorem on Radius Perpendicular to Tangent
Unit V
Trigonometry
- Introduction to Trigonometry — Trigonometric Ratios of Acute Angles (0° to 90°)
- Trigonometric Identities — sin²θ + cos²θ = 1 and Applications
- Heights and Distances — Angles of Elevation & Depression (Simple Problems)
Unit VI
Mensuration
- Areas Related to Circles — Area of Sectors and Segments of a Circle
- Surface Areas and Volumes — Combinations of Cubes, Cuboids, Spheres, Hemispheres & Cylinders
Unit VII
Statistics & Probability
- Statistics — Mean, Median & Mode of Grouped Data (Bimodal cases excluded)
- Probability — Classical Definition, Simple Problems on Single Events
Source: CBSE Academic Curriculum 2025–26 (Subject Codes 041 & 241) — Verified from cbseacademic.nic.inOfficial Source