### General Maths

• Average Formula
• Properties, Central Value
• Weighted Average
• Average Speed

• Least Common Multiple
• Highest Common Factor
• Applications of LCM and HCF

• Comparison of Ratio, Proportion
• Variation

• Meaning of Percent
• Conversion to and from fractions and decimals
• Percentage Ratio Equivalence
• Percentage Changes, Product Stability Ratio
• Applications of Percentage

• One Day Work
• Fundamental Rules
• Time Work Equivalence
• LCM Method of Solving
• Collective Work
• Pipes and Cisterns

• Distance Time Formula
• Average Speed
• Relative Speed
• Problems on Trains
• Boats and Streams
• Circular Tracks

• Linear Polynomial
• Linear Equation in One Variable - Solution, Word Problems
• Linear Equations in Two Variables - Graph
• Simultaneous Linear Equations - Graphical Method, Algebraic Method
• Word Problems
• Inequality

• Arithmetic Progression - General term
• Sum of first n terms
• Arithmetic Sequence
• Geometric Sequence
• Harmonic Progression
• Relation Between AGH
• Sum of Natural Series

• Perimeter, Area
• Heron's Formula
• Triangle
• Rectangle and rectangular paths
• Circle and circular paths, Sector of Circle
• Combination of figures
• Square, Parallelogram, Rhombus, Trapezium, Quadrilateral
• Solid Figures - Surface area and Volume
• Cuboid, Cube, Cylinder, Cone, Frustum of Cone, Sphere, Hemisphere, Pyramid

• Data - Collection, Presentation
• Cumulative frequency table
• Graphical representation - bar, histogram, frequency polygon
• Measures of Central Tendency - Mean, Median, Mode
• Raw data and Ungrouped data

• Types of Sets
• Operation on Sets
• Important Formulas
• Venn Diagram

• Type of Numbers - Natural, Whole, Integers
• Rational Numbers
• Fundamental Operations
• Decimal Representation
• Irrational Numbers
• Even and Odd Numbers
• Factors and Multiples
• Prime and Composite Numbers
• Factorization, Divisibility
• Factorial
• Exponents, Surds and Indices
• Fractions and Decimals

• Remainder Theorem
• Cyclicity of Numbers
• Successive Division
• Prime Numbers
• Fermat's Remainder Theorem
• Euler's Remainder Theorem

• Weighted Average
• Rule of Alligation
• Mixing Pure Component
• Mixtures
• Removal and Replacement

• Terms and formulas - Cost Price, Sales Price, Profit, Loss
• Honest Ways of Profit, Dishonest Ways of Profit
• Discount

• Simple Interest - Principal, Interest, Amount, Formula
• Compound Interest - Conversion period, formula
• Rate of Growth and Depreciation

• Introduction to Algebra - Variables, Constants
• Algebraic Expressions and Polynomials
• Degree of Polynomial
• Zero of Polynomial
• Algebraic Formulas
• Factorisation
• HCF and LCM of Polynomials

• Standard Form
• Solution - Factor Method, Quadratic Formula
• Word Problems

• Point, Line, Angles
• Pairs of Angles
• Lines and Angles
• Polygons
• Triangles - Types, Properties, Special Triangles, Congruence, Similarity, Theorems
• Concurrent Lines - Incenre, Circumcentre, Orthocentre, Medians
• Quadrilateral - Types, Properties; Mid-Point Theorem
• Equal-Intercept Theorem
• Diagonal and Area
• Paralellograms and Triangles
• Circles - Terms, Arc, Theorems, Angles in Circle
• Secants and Tangents
• Locus

• Coordinates of Point
• Distance between two points
• Section formula
• Mid-point formula
• Centroid of triangle

• Trigonometric Ratios
• Relation between T-Ratios
• Trigonometric Identities
• Complementary Angles
• T-Ratios of Special Angles
• Applications of Trigonometry - Heights and Distances

• Random Experiment and Outcomes
• Probability of Event
• Equally Likely Events, Exhaustive Events, Mutually Exclusive Events
• Sample Space
• Independent Events
• Conditional Probability

• Fundamental Principles of Counting
• Permutation, Linear Permutation, Circular Permutation
• Combination
• Distribution of Things into Groups
• Number of Terms in Polynomial Expansion
• Rank of Word