Formula guide of 10+1 Mathematics

Dear Students ,
A complete Formula Guide of 10+1 Mathematics Formulas in JPEG format u can even download the pages from http://mathsworldsolutionxi.blogspot.in/,
which will be very helpful in understanding topics.

Mathematical Charts for Labs and Class Rooms

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Geoboard

A Geoboard is a Mathematical tool used to explore basic concepts in plane Geometry such as perimeters, area etc and also the characteristics of Polygons. It consists of a physical board with a certain numbers of nails half driven in ,around which rubber bands can be wrapped.

Geoboard were onvented by Egyptian Mathematician Caleb Gattegno ( 1911 – 1988 )

Structure and use

 A variety of boards are used. Originally made out of plywood and brass nails or pegs, geoboards are now are usually made out of plastic. They may have an upright square of either 9, 16 or 25 nails or more, or a circle of nails around a central nail. Students are asked to place rubber bands around the nails to explore geometric concepts or to solve mathematical puzzles.

Geoboards may be used to learn about

plane shapes, translation, rotation, reflection, similarity, co-ordination,

counting, right angles, pattern, classification, scaling, position, congruence, area, perimeter.

PRIME NUMBERS

PRIME NUMBERS

Prime numbers are those numbers (> 1) that cannot be divided by any number except themselves and one.

The Greek Eratosthenes created a method to find out these prime numbers, although it only worked over a limited range:

1) Write out the numbers from 1 to 100 in ten rows of 10.

                       1    2   3   4  5   6   7   8   9 10

                       11 12 13 14 15 16 17 18 19 20

                        ...........................................

                        ...........................................

                        91 92 93 94 95 96 97 98 99  100

2) Cross off number 1, because all primes are greater than 1.

3) Number 2 is a prime, so we can keep it, but we need to cross off the multiples of 2 (i.e. even numbers).

4) Number 3 is also a prime, so again we keep it and cross off the multiples of 3.

5) The next number left is 5 (because four has been crossed off), so we keep it and cross of the multiples of this number.

6) The final number left in the first row is number 7, so cross off its multiples.

7) You have finished. All of the "surviving" numbers (colored in white below) on your grid are prime numbers.

Maths TLM

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Mathematical Formula for 10+2

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Cubing of two digit number

Squaring Any Number in Seconds

Dictionary of Mathematics

Dictionary of Mathematics

The word Mathematics comes from the Greek word Mathema, which means ‘learning’, ‘study’, ‘Science’, and additionally came to have the narrower and more technical meaning , “Mathematical Study”. Mathematics plays a vital role in developing the power of logical reasoning and concentration.

Dictionary of Mathematics ( mathematicdictionary.blogspot.com , http://atozofmathematics.blogspot.in) is an interactive website which is an array of innumerable concepts and definitions in a precise, simple and comprehensive way. They have been gradually and systematically developed.

This website delves into the various mathematical arenas and can be used as a handy reference guide by all. The exposition is simple and rigorous. It helps to increase understanding of concepts, thinking and reasoning power.

                                                                         http://atozofmathematics.blogspot.in                                                 

Vedic technique of Multiplication of 12

Vedic   technique of Multiplication of 12

Simple method to make multiplication of any number with 12  simple

Steps to be followed ;

1.      Firstly add zero in front of the number which is to be multiplied by 12.

2.      Secondly double the right-hand number and carry it down if number is two digit.

3.      Thirdly double the second digit from the right and add the next digit in this addition and add the previous carry if it is. Make another carry if number becomes two digits.

4.      Repeat above steps till the last digit of number will be processed .

Eg.       Let    433 x 12

Step 1              0433 x  12

                                    6 double the right – hand digit and carry it down.

Step 2              0433 x  12

                                    96        double the 3 and add 3

Step 3              0433 x  12

1196    double the 4 and add 3 ( sum is two digit i.e. 11)write 1 here and 1  in next step

Last Step         0433 x  12

                                    5196    double the zero add 4 and carry 1 from step 3 operation and add to it.

                        Solution is 5196

Vedic method OF Subtraction from 100/1000/10000

Vedic   method OF Subtraction from 100/1000/10000

The Simple  Vedic Method uses the sutra “All from 9 and last form 10 “ and gives a very simple technique.

The result can be obtained from both left to right as well as right to left with equal ease. It states that the result can be obtained by subtraction of each digit from ‘9’ and the last digit from ‘10’.

e.g.                               10000

                                    -  8678

We can get result from left to right of vice versa from right to left as

            (9 – 8)              (9 – 6)              (9 – 7)              (10 – 8)            =          1322

i.e. all digits except the last one are subtracted from 9, and the alst from 10 and the result is there

the same technique can be used for decimal subtraction also .

e.g.                  2.000 – 0.672

the operation here is subtraction of 676 from 20000 where 1 is carry from left.

Vedic   technique to  square a number having base 1000,10000 etc.

Let find the square of 995, this number nearest to 1000, we take 1000 as base

Steps to follow

1.     Make a partition and on the right side of the partition there are three places as base 1000 has two zeros.

2.     Difference  less than base.

3.     Square the difference  less than base, write on the right side of the partition.

4.     Subtract difference from rest number.

 e.g.

1.     Make a partition and on the right side of the partition there are three places as base 1000 has two zeros.

2.     Number less than base i.e. 1000 – 995   =   5.

3.     Square of 5 i.e. 25,    write 025  on the right side of the partition.

4.     Now , subtract 5 from 995 i.e. 990 and write 990 before 025 

Vedic technique to square a number (Nikhilam Method)

Vedic   technique to  square a number which ends in 5

Steps to follow

1.      Multiply the first number by its consecutive number.

2.      Multiply second digit i.e. 5 by itself and attach it at the end of the result obtained in the previous step.

e.g.      1.         75²  

            Step 1 :  7 x 8  =  56

            Step 2 :  5 x 5  =  25

Answer is  ;                  5625

2.         145²

                        Step 1 :  14 x 15  =  210

            Step 2 :      5 x 5  =  25

Answer is  ;                  21025

Vedic   technique to  square a number

(Nikhilam Method)

Squaring of numbers which are close to a base of 100, 1000, 10000 etc.

Squaring of numbers which are less than the base of 100.

Steps :

1.     Make a partition and on the right side of the partition there are two places as base 100 has two zeros.

2.     Difference  less than base.

3.     Square the difference  less than base, these are the last two digit of square are write on the right side of the partition.

4.     Subtract difference from rest number.

e.g. 1.            96²

step 1            :           96                   - 4

                                  92       /          16                   =          Sol.   9216

e.g.  2.           85²

step 1            :           85                  -15

                                 70       /         225(carry 2 to the left and add to 70 to get 72 )

=             Sol.   7225

TRIANGLES AND ITS TYPES

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maths TLM for cube ,cylinder, cone, hemisphere

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