Close Menu
    Facebook X (Twitter) Instagram
    Facebook X (Twitter) LinkedIn Pinterest RSS
    All Math Tricks
    Leaderboard Ad
    • Home
      • Blog
      • About Us
      • Contact Us
    • Math Tricks
    • Pure Mathematics
      • number system
      • Algebra
        • Polynomials
      • Progressions
      • Geometry
        • Coordinate geometry
    • Quantitative Aptitude
      • Interest Calculations
      • percentage
      • Ratio proportion and variation
    • Calculus
      • Derivatives
      • limits and integrals
    • Math Reasoning
    All Math Tricks
    You are at:Home»Math Tricks»Easiest way to find square of a 2 digit number | Shortcut trick for Square
    Easy method to find square of a 2digit number -all math tricks
    Math Tricks

    Easiest way to find square of a 2 digit number | Shortcut trick for Square

    sivaalluriBy sivaalluriJuly 22, 2017No Comments5 Mins Read

    Table of Contents

    Toggle
    •  How to find the square of a two digit number easily
      • Square of a number from 31 to 80 :
      • Square of a number from 81 to 99 :

     How to find the square of a two digit number easily

    Square Means : When any number is multiplied by itself , it is called as the square of a number

    a) Square plays very important role in mathematics.

    b) For doing the square of any two digit number having number of shortcuts are there out of that I suggested you one of the best and easy trick for square

    c) First of all I suggest you must remember squares of first 30 numbers. Upto 20 numbers most of the students already know so remaining number means upto 30, it is very easy to remember. It will also very much helpful to do square of 3 digit numbers.

    d) After  30 you do not need to worry about that. You just following the process than you will able to do square of reaming 2 digit numbers.

    Easy method to find Square of number -all math tricks

    Number Square Number Square Number Square
    1 1 11 121 21 441
    2 4 12 144 22 484
    3 9 13 169 23 529
    4 16 14 196 24 576
    5 25 15 225 25 625
    6 36 16 256 26 676
    7 49 17 289 27 729
    8 64 18 324 28 784
    9 81 19 361 29 841
    10 100 20 400 30 900

    Square of a number from 31 to 80 :

    Here you must remember the following the  steps ( Note : Friends do not afraid for following steps it is very easy for better understanding purpose I mentioned here )

    a) The answer having two parts and each part required for 2digits only. (except only for 31, here came one digit for 2nd part) .

    b) Take number a “X” than  50 subtract from that number i.e X -50

    c) For 1st part you square of that value i.e (X-50)2

    d) In first part required 2 digits so if it came less than two digits than add “0” for second place otherwise if it came more than 2 digits than 3rd digit should be carryover the next part i.e 2nd part.

    e) For Second part purpose our base number is 25. i.e the value X-50 is to be add to 25 and also to be add for this if any carry over number from 1st part.

    Let us go through the examples.

    Example No. 1 :   432

    Step 1 : 43-50 = -7

    Step 2 : (-7)2 = 49. Our 1st part 49.

    Step 3 : 25+ (-7) + 0(No carry over from 1st part) = 18. Our 2nd part is 18.

    So our final answer is 1849

    Example No. 2 :   482

    Step 1 : 48-50 = -2

    Step 2 : (-2)2 = 4 Our 1st part 04 (Require 2digits in 1st part).

    Step 3 : 25+ (-2) + 0(No carry over from 1st part) = 23. Our 2nd part is 23.

    So our final answer is 2304

    Example No.3 :   672

    Step 1 : 67-50 = +17

    Step 2 : (17)2 = 289 Our 1st part 89 (Require 2digits in 1st part and “2” carryover to 2nd part.).

    Step 3 : 25+ (+17) + 2(it is carry over from 1st part) = 44. Our 2nd part is 44.

    So our final answer is 4489

    Square of a number from 81 to 99 :

    Here you must remember the following the  steps

    a) The answer having two parts and each part required for 2digits only.

    b) Take number a “X” than  100 subtract from that number i.e X -100

    c) For 1st part you square of that value i.e (X-100)2

    d) In first part required 2 digits so if it came less than two digits than add “0” for second place otherwise if it came more than 2 digits than 3rd digit should be carryover the next part i.e 2nd part.

    e) For Second part purpose our base number is X . i.e the value X-100 is to be add to X and also to be add for this if any carry over number from 1st part.

    Example No.4 :   862

    Step 1 : 86-100 = -14

    Step 2 : (-14)2 = 196 Our 1st part is 96 (Require 2digits in 1st part so remaining value “1” is carryover to 2nd part.).

    Step 3 : 86 + (-14) + 1(it is carry over from 1st part) = 73. Our 2nd part is 73.

    So our final answer is 7396.

    Example No.5 :   97 2

    Step 1 : 97-100 = -3

    Step 2 : (-3)2 = 9 Our 1st part is 09 (Require 2digits in 1st part).

    Step 3 : 97 + (-3) + 0(it is carry over from 1st part) = 94. Our 2nd part is 94.

    So our final answer is 9409.

    Friends definitely I can tell while you are doing the practice the above shortcut way than you can definitely do square of two digit number in fraction of section.

    Friends in this blog explained about easy methods for all types of mathematics sums

     

    Hi friends Thanks for reading. I Hope you liked it. Give feed back, comments and please don’t forget to share it.

     

    shortcut trick square square of two digit number
    Share. Facebook Twitter Pinterest LinkedIn Tumblr Email
    sivaalluri
    • Website

    Related Posts

    Multiplication tricks and tips in mathematics | Shortcuts in multiplications

    Shortcuts methods of Division math | Tips and tricks for math division

    Shortcut Methods for finding the Cube of a number | number cube tricks

    Leave A Reply Cancel Reply

    • Popular
    • Recent
    • Top Reviews
    February 3, 2018

    Multiplication tricks and tips in mathematics | Shortcuts in multiplications

    December 28, 2022

    Integral and Double Integral calculus Example with Solution | Allmathtricks

    July 23, 2017

    Shortcuts for Multiplication of numbers | Easy way for Multiplications

    January 24, 2024

    Standard Deviation Definition, Formula with Questions | Allmathtricks

    December 28, 2023

    Cubic Feet conversion : Definition, formulas with practical calculations

    November 9, 2023

    Calculating limits calculus with examples and solutions | types of limits

    Categories
    • Algebra
    • Applied Mathematics
    • Calculators
    • Calculus
    • Coordinate geometry
    • Derivatives
    • Education & Career
    • Geometry
    • Interest Calculations
    • limits and integrals
    • Math Quiz
    • Math Reasoning
    • Math Tricks
    • number system
    • percentage
    • Polynomials
    • Progressions
    • Quantitative Aptitude
    • Ratio proportion and variation
    • Statistics math
    Latest Galleries
    Latest Reviews
    About
    About

    Allmathtricks.Com, we firmly believe that everyone has the potential to become a math whiz – all it takes is a bit of guidance, a sprinkle of fun, and the camaraderie of a supportive community.

    Facebook Instagram
    arithmetic progression problems | arithmetic progression questions |arithmetic progression basic problems |arithmetic progression exercise
    Harmonic progression formulas - nth term and sum of terms, harmonic progression properties with aptitude questions, harmonic mean formula between given quantities
    how to find collinear points | Examples of collinear points | point in geometry math | Number of Lines through non- collinear points | All math tricks
    Shortcuts methods of Division math | Tips and tricks for math division
    prism formulas |volume and surface area of a Octagonal prism
    Methods for finding HCF and LCM
    distance formula geometry definition with practice problems | Distance between two points on a line in the X-Y plane
    how to find last digit of any number with power | Find the last two digits of a large exponent | unit digit problems with solutions | unit digit concept
    Basic Concepts of logarithms |log properties | logarithm tutorial | Excercise - 1 log rules |properties of logarithms | logarithm rules practice |
    ratio proportion and variation problems with solutions with formulas, ratio and proportion tricks for bank exams, Ratio Proportion and Variation aptitude formulas, allmathtricks
    Terminology and Formulas of the Triangles | Classification according to angle and according to sides like Equilateral | Properties of the Triangles.
    Typical problems on HCF and LCM | GCD and LCM Problems & Solutions || Practice problems on HCF and LCM for all competitive exams
    Definetions and Properties of Line, line segment and ray in math | all math tricks
    Quadrilateral with their properties and formulas | Properties and formulas of Trapezium, parallelogram, Rhombus, Rectangle, Square, kite
    cube root formula - easy method to calculate cube root of perfect cubes of two digit numbers
    Remainder theorem of numbers | Remainder theorem aptitude questions | How to find remainder of a number with power | Remainder theorem tricks for ssc
    Sum of n natural numbers | Sum of odd and even numbers | Sum of the Squares of First n Positive Integers | Sum of the Cubes of First n Positive Integers
    standard deviation definition, formula, symbol, questions, standard dev calculator with The applications of both population standard deviation (σ) and sample standard deviation (s)
    Simple interest and Compound interest formulas with Online calculator- allmathtricks
    Profit and loss formulas for quantitative aptitude | profit and loss shortcut tricks for bank exams, ssc cgl | profit and loss problems with solutions for all types of competitive exams | Formulas for Profit and loss and practice sums | Exercise – 4 | Profit and loss chapter question and answers
    Easy Thought Process in Addition and Subtraction - all math tricks
    Statement and proof of remainder theorem and factor theorem | application of remainder theorem and factor theorem | remainder and factor theorem tutorial
    Factors concept in number system | Total number of factors for a number | factors for numbers 1 through 100 | how to find factors of big numbers easily
    Cubic feet conversions formula Cubic Inches to Cubic Feets Cubic Yards to Cubic Feets Cubic Centimeters to Cubic feets Cubic meters to Cubic Feets
    Ratio, Proportion and Variation - Concepts, Important Formulas, Formulas, Properties with Quantitative Aptitude Shortcuts & Tricks for all Competitive Exams | allmathtricks
    | log rules |properties of logarithms | logarithm rules practice | logarithm tutorial
    geometric progression examples with solution, geometric progression formula for nth term, geometric progression total sum, geometric progression problems with solution for all competitive exams as well as academic
    logarithm applications | logarithm tricks | logarithm tutorial | logarithm tricks | logarithm application | logarithm questions | logarithm examples | logarithm questions
    What is an Angle| Different Types of Angles in Geometry | Zero Angle, Acute Angle, Right Angle, Obtuse angle, Straight Angle, Reflex Angle & Complete angle
    volume of hollow sphere, area of hollow sphere formula with examples
    Percentage calculation | Different shortcut methods to find out percentage |
    Polynomial Definition | Degree of a Polynomial | Types of Polynomials | Polynomial Concept
    Circle formulas in math | Area, Circumference, Sector, Chord, Arc of Circle
    how many number of triangles | counting figures in reasoning tricks
    percentage formulas | percentage calculation with examples | Quantitative mathematics
    Multiplication tricks and tips in mathematics | Shortcuts in multiplications
    square root calculation methods | square root formulas
    Types of Lines in geometry | Straight line, Curved line, Intersecting lines, Concurrent lines, Parallel Lines and transversal line with examples. | All Math tricks
    Quantitative Aptitude math | allmathtricks.com
    Factoring Polynomials by using Algebraic Expressions | How to Factor Algebraic Equations | all math tricks
    number system ? allmathtricks.com
    Multiplication tricks for 2digit, 3digit and 4digit numbers - all math tricks
    sequence and series definitions | Infinite sequence and series problems and solutions | arithmetic sequence questions | Find the nth terms of sequence
    Divisibility Rules of numbers from 1 to 20
    Factorise the Polynomial by using Factor Theorem | allmathtricks
    Time and Work Aptitude | Concept, Formula Questions and Answers
    Copyright © All Math Tricks 2024 @ All rights reserved | Designed & Developed by SivaRamaKrishna Alluri. .
    • Home
    • Buy Now

    Type above and press Enter to search. Press Esc to cancel.