Maths

4 May 2016

How to Improve Mathematics?? Is there any solution??

09:28

Here is the solution...
Easy Tips to Improve Mathematics:

Play math games: Math games are good tools for honing your math skills and are designed to let you have fun while doing it. Some recommended online math games (that are in line with the new Common Core standards) include.
Make math part of your life: Incorporate math equations into your daily routine to help keep your skills sharp and to help you recognize the many ways that math exists all around you
Learn about the big picture: It’s easy to become frustrated with math when all you’re doing is memorizing a formula that, at base, means nothing to you. But if you work to truly understand the principles behind the formula, your understanding of math can become deeper and more productive.
Create good study habits: Your study habits have a huge influence on your success in math. And it’s not just about the quantity of study time, it’s about the quality.
Read purposefully: When sitting down to read a math section in the textbook, read strategically
Master one concept before moving on to the next: In math, each topic builds upon the next, so, much like reading, it’s difficult if not impossible to make forward progress if you haven’t mastered all of the necessary steps.
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22 February 2016

Get Tricks about Square Root Of any Numbers which are not a perfect square with Kachhua....!!!

12:20
Square Root = Sq. Root of Nearest Perfect Square + {difference of the given number from the nearest perfect square / 2 x (Sq. Root of Nearest Perfect Square)}
Example 1 : Square Root of 57.
= 8 + (57-64) / 2 x 8 (since the perfect square closest to 57 is 64; we will take square root of 64 i.e. 8 for calculations)
= 8 – 7/2×8
=8 – 7/16
= 7.56 (approx).
The exact answer is 7.5498
Example 2 : Square Root of 440

= 20 + (410-400) / 2 x 20 (since the perfect square closest to 440 is 441; we will take square root of 441 i.e. 21 for calculations)
= 20+10/40
= 20.25 (approx).
The exact answer is 20.248
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20 February 2016

Get Speed in Maths of Competitive Exam By Short Tricks...

11:47
Trick-1..

Trick of number 9

Take the nine digits in order and remove the 8: 12345679.
Then multiply by 9:
12345679*9 = 111111111

now tries multiplication by the multiples of 9:

12345679*18 = 222222222
12345679*27 = 333333333
12345679*36 = 444444444
12345679*45 = 555555555
12345679*54 = 666666666
12345679*63 = 777777777
12345679*72 = 888888888 
12345679*81 = 999999999

Trick-2..

Trick for Calculate Reminder On Dividing The Number By 27 And 37

Consider number 34568276, we have to calculate the reminder on dividing this number by 27 and 37 respectively.
make triplets as written below starting from units place
34.........568..........276
now sum of all triplets = 34+568+276 = 878
divide it by 27 we get reminder as 14
divide it by 37 we get reminder as 27 

For Example,

other examples for the clarification of the rule
let the number is 2387850765
triplets are 2...387...850...765
sum of the triplets = 2+387+850+765 = 2004
on revising the steps we get
2......004
sum = 6
divide it by 27 we get reminder as 6
divide it by 37 we get reminder as 6

Trick-3..

Trick for Calculate Reminder On Dividing The Number By 3

Method: - first calculate the digit sum, then divide it by 3, the reminder in this case will be the required reminder

For example: - 1342568
let the number is as written above
its digit sum = 29 = 11 = 2
so reminder will be 2 

For Example,

34259677858
digit sum of the number is 64 = 10 = 1
reminder is 1

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2 January 2016

Important formulas of maths for competitive exams

12:00
  • (a + b)(a – b) = a2 – b2
  • (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
  • (a ± b)2 = a2 + b2± 2ab
  • (a + b + c + d)2 = a2 + b2 + c2 + d2 + 2(ab + ac + ad + bc + bd + cd)
  • (a ± b)3 = a3 ± b3 ± 3ab(a ± b)
  • (a ± b)(a2 + b2 m ab) = a3 ± b3
  • (a + b + c)(a2 + b2 + c2 -ab – bc – ca) = a3 + b3 + c3 – 3abc =1/2 (a + b + c)[(a – b)2 + (b – c)2 + (c – a)2]
  • when a + b + c = 0, a3 + b3 + c3 = 3abc
  • (x + a)(x + b) (x + c) = x3 + (a + b + c) x2 + (ab + bc + ac)x + abc
  • (x – a)(x – b) (x – c) = x3 – (a + b + c) x2 + (ab + bc + ac)x – abc
  • a4 + a2b2 + b4 = (a2 + ab + b2)( a2 – ab + b2)
  • a4 + b4 = (a2 – √2ab + b2)( a2 + √2ab + b2)
  • an + bn = (a + b) (a n-1 – a n-2 b +  a n-3 b2 – a n-4 b3 +…….. + b n-1), (valid only if n is odd)
  • an – bn = (a – b) (a n-1 + a n-2 b +  a n-3 b2 + a n-4 b3 +……… + b n-1), {where n ϵ N)
  • (a ± b)2n is always positive while -(a ± b)2n is always negative, for any real values of a and b
  • (a – b)2n = (b – a)2” and (a – b)2n+1 = – (b – a)2n+1
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25 December 2015

Short Mathematics Tricks

12:49
Squaring
In this simple trick we need to modify the equation and make the units digit zero. After all it is easy to multiply when units digit is zero.
For example - Find square of 43
= (43+3) × (43-3) + (3×3)
=(46×40) + 9
= (460×4) + 9
= 1840 + 9 = 1849

Multiplication with 5
Simply multiply the number by 10 and then divide it by 2.
For example 99×5= 990/2= 495
Multiplication with 99

Multiply the number with 100 and then minus same number from the result. Let's take an example
Multiply 32×99 = 3200 - 32 = 3168

Square root
Best method to find square root of large numbers is by dividing the number into parts. Let's take an example
Find square √ 1936
√ 1936 = √ 4 × √ 484 = √ 4 × √ 4 × √ 121 = 2×2×11 = 44

Time and Work
Every question in in time and work chapter can be solved easily by finding efficiency of workers or subject (such as pipes).

For example - A takes 10 days to complete a job. B takes 20 days to complete the same job. In how many days they will complete the job if they work together ?
A's efficiency = 100/10 = 10% per day
B's efficiency = 100/20 = 5% per days
A and B can do 15% of the work in a day if they work together. So they can do the whole job in 100/15 = 6.66 days or 6 days and 18 hours.

Estimation
That's the most important technique. This is not a secret that every successful candidate is using this technique during exams.

Example - 112 × 92
Simply 112 × 9 = 1008
Add a zero 10080 and then add 224 to 10080.
Answer is 10304
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