General Maths

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  • 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
  • Installment Buying
  • Rate of Growth and Depreciation

  • Introduction to Algebra - Variables, Constants
  • Algebraic Expressions and Polynomials
  • Degree of Polynomial
  • Zero of Polynomial
  • Addition, Subtraction, Multiplication, Division
  • 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
  • Cyclic Quadrilateral
  • Secants and Tangents
  • Locus

  • Co-ordinate System - Quadrants
  • 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

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