## Saturday, 23 June 2012 0 comments

This is the part 2 of the maths shortcuts. You will find Part1 here.
Here is some math short cuts which is are used to help to increase the performance of your brain cells. These shortcuts are specially designed by the experts only for the visitors of PsychTronics.
Out walking with your friends, show them this quick way to

square numbers that end in 5 using the formula BY ONE MORE

THAN THE ONE BEFORE.

752 = 5625

752 means 75 x 75.

The answer is in two parts: 56 and 25.

The last part is always 25.

The first part is the first number, 7, multiplied by the number “one

more”, which is 8:

so 7 x 8 = 56

Similarly 852 = 7225 because 8 x 9 = 72.

Try these:
1) 45            2) 65              3) 952            4) 35

Show your child this truly beautiful method of dividing by 9.

23 ÷ 9 = 2 remainder 5
The first figure of 23 is 2, and this is the answer.
The remainder is just 2 and 3 added up!

43 ÷ 9 = 4 remainder 7

The first figure, 4, is the answer and 4 + 3 = 7 is the remainder—could it be easier?

Divide by 9: 1) 61  2) 33      3) 44      4) 53       5) 80

Longer numbers are also easy.
134 ÷ 9 = 14 remainder 8
The answer consists of 1, 4 and 8.

1 is just the first figure of 134,

4 is the total of the first two figures 1 + 3 = 4,

and 8 is the total of all three figures 1 + 3 + 4 = 8.

Divide by 9:

6) 232      7) 151          8) 303      9) 212          10) 2121

On a long car journey why not improve your mind by dividing

the car numbers by 9, using this remarkably easy method.

This follows on from the previous page because these sums

may have carry figures.

842 ÷ 9 = 812 remainder 14 = 92 remainder 14

Actually a remainder of 9 or more is not usually permitted because we are trying to find how many 9’s there are in 842.

Since the remainder, 14, has one more 9 with 5 left over the

final answer will be 93 remainder 5

Divide these by 9: 1) 771      2) 942        3) 565        4) 555

On a long train journey? – liven up your trip with this

marvellous method for dividing numbers.

As in the case of ‘long’ multiplication ‘long’ division in this system is not long at all and, in fact, the answer to any division

sum can be put down in one line.

369 ÷ 72 = 5 remainder 9

We use THE FIRST BY THE FIRST AND THE LAST BY THE LAST.

Divide the 36 at the beginning of 369 by the first

figure of 72: 36 ÷ 7 = 5 remainder 1.

This gives: 3619 ÷ 72 = 5

The remainder, 1, is placed as shown and makes 19 with the 9 following it.

From this 19 we subtract 2 x 5 (the answer figure multiplied by last figure of 72):

19 - 10 = 9, the remainder.

To sum up, for 369 ÷ 72:

36 ÷ 7 = 5 remainder 1 gives 3619 ÷ 72 = 5

and 19 - 2 x 5 = 9 the remainder, so 3619 ÷ 72 = 5 rem 9

Similarly 468 ÷ 73 = 6 remainder 30

Because 46 ÷ 7 = 6 remainder 4: 4648 ÷ 73 = 6,

then 48 - 3 x 6 = 30, the remainder.
Try a few yourself:
1) 456 ÷ 87     4) 543 ÷ 76
2) 468 ÷ 73     5) 357 ÷ 61
3) 369 ÷ 84     6) 131 ÷ 43

Similarly squares, square roots are easily tackled (in one line) by the Vedic method. We can also solve equations and

geometrical and trigonometrical problems. The Vedicsystem

covers all areas of mathematics.

It is not possible to show all variations of the methods in this article: all the techniques shown can be extended in various ways.
All these math short cuts are created only for the sake of  psychtronics visitors.....