Courses Levels

Basic Level

  •   Mental Addition
  •   Mental Subtraction
  •   Addition
    • Complete the Whole
    • Split
    • Decompose
  •   Balancing
    • Table for 2-Digit numbers
    • Table for 3-Digit numbers
  •   Digit Sum
    • Verification
    • Design with Digit Sum
  •   Multiplication of numbers ending 1
  •   Multiplication of numbers starting 1
  •   Multiplication by 9 with 2 and 3-Digit numbers
  •   Multiplication by 1 Digit with # Digits
  •   Dodging Method
  •   Division by 9
  •   Multiplication by 11
  •   Multiplication by 111
  •   Special Multiplication
    • Units place digits sum 10
    • Units place digits same
  •   Doubling
    • Multiplication by 4, 8, 16
    • Division by 5, 50, 25, 125
  •   Halving
    • Division by 4, 8, 16
    • Multiplication by 5, 50, 25, 125
  •   Subtraction
    • All From 9 Last From 10
  •   Subtraction – General Method
  •   Multiplication – General Method
    • Vertically and Crosswise
  •   Addition – General Method
    • Columnar
  •   Table of 12 – 19 (Mentally)

Intermediate Level

  •   Reviews of Basic Level
  •   Addition – General Method
    • Using Bar
  •   Subtraction – General Method
    • All From 9 Last From 10
  •   Multiplication by 6
    • with Even and Odd number
  •   Division 8
  •   Vinculum
  •   Devinculum
  •   Table for 2 and 3-Digit numbers
    • using Vinculum
  •   Multiplication by 15
  •   Multiplication – General Method
    • Vertically and Crosswise – 3D x 3D
  •   Division – General Method
    • Flag Method
  •   Table of 21 – 99 Mentally
  •   Division by 11, 12
  •   Division by 99, 98, 97 (Base Method)
  •   Addition and Subtraction Together
  •   Design with Digit Sum
  •   Addition and Subtraction of Time
  •   Convert Kilometers to Miles
  •   Convert Miles to Kilometers
  •   Multiplication – Base Method
    • below 20 – 100
    • above 10 – 100
  •   Multiplication with 101, 1001, 201, etc.
  •   Subtraction – General Method
    • using Vinculum
    • Design with Digit Sum

Advanced I Level

  •   Addition
    • Base Method
    • Using Complements
    • By Splitting and Decomposing
    • Dot Method
  •   Addition of decimal numbers
  •   Addition of Time
  •   Subtraction
    • Using All from 9 and Last from 10
    • Using Vinculum and Devinculum
    • Base Method
  •   Subtraction of decimal numbers
  •   Subtraction of Time
  •   Columnar Addition and Subtraction together
  •   Multiplication
    • Multiplication by 1-digit number using Balancing
    • Multiplication by 11 and multiples of 11
    • Multiplication by 12 to 19, 112 to 119 ……
    • Multiplication by 111 & multiples of 111
    • Multiplication Base Method (Below, Above, Mixed and Different Bases)
    • Multiplication if the sum of units digits is 10 and rest place digits are same
    • Multiplication if the sum of tens place digits is 10 and units place digits are same
    • Squares of numbers ending with 5
    • Squares of numbers starting with 5
    • Multiplication by 9 & numbers ending with 9
    • Multiplication by 9 with 2 and 3-digit number
    • Multiplication by both numbers ending with 9
    • Multiplication General Method (2-digit x 2-digit, 3-digit x 3-digit and so on)
    • Multiplication by number of 9s
    • Multiplication 3 Rows (General Method)
    • Multiplication 3 Rows (Base Method)
    • Approximations (Decimal Multiplication)
    • Multiplication by 6
    • Multiplication by 15
    • Multiplication by 5, 50, 500….
    • Multiplication by 25, 125, 150 ….
    • Multiplication of numbers ending with 5
    • Multiplication of numbers starting with 1
    • Multiplication of numbers ending with 1
    • Multiplication by 101, 1001 ….
  •   Table of 3-digit number using Balancing
  •   Tables Using Vinculum and Devinculum
  •   Table of 12 – 19 Mentally
  •   Table of 21 – 99 Mentally
  •   Division
    • Division by 5, 50, 500 ….
    • Division by 25
    • Division by Base Method
    • Division by General Method
  •   Divisibility Rules
  •   Digit Sum
    • Design with Digit Sum
  •   Algebraic Division
  •   Squares
    • Using Duplex Method
    • Using Base Method
  •   Addition and Subtraction of Squares by Duplex Method
  •   Fourth Power
  •   Square Root
    • For Perfect Squares
    • For Imperfect Squares
  •   Fractions
  •   Addition of Fractions
  •   Subtraction of Fractions
  •   Cubes by Base Method
  •   Cube root of Perfect Cubes
  •   Auxiliary Fractions
  •   Magic Squares

Advanced II Level

  •   Pythagoras Theorem Proofs (Baudhyana’s Theorem)
  •   Finding the sides of a Triangle when one side is given
  •   Finding the possible numbers when the difference of squares of two numbers is given
  •   Triples
    • Addition and their graphical representation
    • Subtraction and their graphical representation
    • Double Angle and their graphical representation
    • Half angle and their graphical representation
    • Finding the triple of a point and a line
  •   Coordinate Geometry
  •   Finding the distance between a point and a line (with and without constant)
  •   Finding the equation of a line passing through two points
  •   Simple Equations
  •   Factorisation
  •   Trigonometry
  •   Inverse Trigonometry
  •   Differential Calculus
  •   Integral Calculus
  •   Partial Fraction

Master Level

  •   Addition
    • Base Method
    • Using Complements
    • By Splitting and Decomposing
    • Dot Method
  •   Addition of decimal numbers
  •   Addition of Time
  •   Subtraction
    • Using All from 9 and Last from 10
    • Using Vinculum and Devinculum
    • Base Method
  •   Subtraction of decimal numbers
  •   Subtraction of Time
  •   Columnar Addition and Subtraction together
  •   Table of 12 – 19 Mentally
  •   Division
    • Division by 5, 50, 500 ….
    • Division by 25
    • Division by Base Method
    • Division by General Method
  •   Divisibility Rules
  •   Digit Sum
    • Design with Digit Sum
  •   Algebraic Division
  •   Squares
    • Using Duplex Method
    • Using Base Method
  •   Addition and Subtraction of Squares by Duplex Method
  •   Fourth Power
  •   Algebraic Multiplication
  •   Table of 3-Digit number using Balancing
  •   Tables Using Vinculum and Devinculum
  •   Table of 21 – 99 Mentally
  •   Multiplication
    • Multiplication by 1-digit number using Balancing
    • Multiplication by 11 and multiples of 11
    • Multiplication by 12 to 19, 112 to 119 ……
    • Multiplication by 111 & multiples of 111
    • Multiplication Base Method (Below, Above, Mixed and Different Bases)
    • Multiplication if the sum of units digits is 10 and rest place digits are same
    • Multiplication if the sum of tens place digits is 10 and units place digits are same
    • Squares of numbers ending with 5
    • Squares of numbers starting with 5
    • Multiplication by 9 & numbers ending with 9
    • Multiplication by 9 with 2 and 3-digit number
    • Multiplication by both numbers ending with 9
    • Multiplication General Method (2-digit x 2-digit, 3-digit x 3-digit and so on)
    • Multiplication by number of 9s
    • Multiplication 3 Rows (General Method)
    • Multiplication 3 Rows (Base Method)
    • Approximations (Decimal Multiplication)
    • Multiplication by 6
    • Multiplication by 15
    • Multiplication by 5, 50, 500….
    • Multiplication by 25, 125, 150 ….
    • Multiplication of numbers ending with 5
    • Multiplication of numbers starting with 1
    • Multiplication of numbers ending with 1
    • Multiplication by 101, 1001 ….
  •   Square Root
    • For Perfect Squares
    • For Imperfect Squares
  •   Fractions
  •   Addition of Fractions
  •   Subtraction of Fractions
  •   Cubes by Base Method
  •   Cube root of Perfect Cubes
  •   Auxiliary Fractions
  •   Magic Square
  •   Pythagoras Theorem Proofs (Baudhyana’s Theorem)
  •   Fractions
  •   Finding the sides of a Triangle when one side is given
  •   Triples
    • Addition and their graphical representation
    • Subtraction and their graphical representation
    • Double Angle and their graphical representation
    • Half angle and their graphical representation
    • Finding the triple of a point and a line
  •   Coordinate Geometry
  •   Finding the distance between a point and a line (with and without constant)
  •   Finding the equation of a line passing through two points
  •   Simple Equations
  •   Factorisation
  •   Trigonometry
  •   Inverse Trigonometry
  •   Differential Calculus
  •   Integral Calculus
  •   Partial Fraction
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