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Maths Magic, Interesting Mathematical Concepts
Mathematics is full of magic, It is the game with numbers. A person with the knowledge of mathematical tricks can use it as a magic. Here you learn many tricks and magics which make you different from others.
Maths Magic, Interesting Mathematical Concepts
Maths Magic, Interesting Mathematical Concepts
Magic 1 : Method of finding day from the date of birth
In order to find the day from the date of birth we should have the knowledge of two tables which are given as follows.
Table of days

Name of the day

Day Code

Sunday

1

Monday

2

Tuesday

3

Wednesday

4

Thursday

5

Friday

6

Saturday

0

Table of Months

Name of the Month

Month Code

January

1

February

4

March

4

April

0

May

2

June

5

July

0

August

3

September

6

October

1

November

4

December

6

Start from the
date of birth let it is 03 – 08 – 1977
Step 1: 1977 –
1900(Nearest century less than or equal to the year of birth) = 77
Step 2: 77 divide by 4 (leap year factor) = 19 (leap years) + 1
(year extra)
Step 3: 77(subtraction result
of first step) + 19 (no. of leap years) = 96
Step 4: 96 + 03 (no. of days
from the date of birth) = 99
Step 5: 99 + 03 (month code of
August from the above table )=102
Step 6: 102 divide by 7 (no. of days in one week) = 14 (quotient)
and 4(remainder)
4 means Wednesday
(from 2^{nd} table of day codes.
In this way we can
find the day from any date of birth.
Magic 2 : Getting three
digit integer written twice
Consider any
three digit number and multiply it by 1001. Now the result is the original
number written twice.
For
example: 456 x 1001 = 456456
678 x 1001 = 678678 and so on
This is true
for all the three digit numbers.
Magic 3 : Always get answer 7
Back to the same number seven (7)

S No

Steps

Results

1

Select any number, Let it is

15

2

Double it we get

30

3

Adding 17 to it we get

47

4

Subtracting 3 from it we get

44

5

Dividing 44 by 2 we get

22

6

Subtract original number from 22 we get

07

Magic 4 : Magic Number 142857
When we divide 1000000
by 7 the then quotient is 142857. This number is a magic number because of the
following reasons.
This number shows a
cyclic property (clockwise) as follows
142857 x 1 = 142857 Start from 1 and go clockwise
direction
142857 x 2 = 285714
Start from 2 and go clockwise direction
142857 x 3 = 428571
Start from 4 and go clockwise direction
142857 x 4 = 571428
Start from 5 and go clockwise direction
142857 x 5 = 714285
Start from 7 and go clockwise direction
142857 x 6 = 857142
Start from 8 and go clockwise direction
Magic 5 : Predicted
table of 1089
Tell your friend to
write any three digit number. It should be such that the left hand digit
exceeds right hand digit by at least 2.
Let the number be

981

Its reverse order is

189

Subtract 981 from 189

792

Reverse order of 792

297

Add 792 and 297 we get

1089

The result is always
same with all three digit numbers with above condition.
Magic 6 : Get a series
of two
Write natural number
from 1 to 9 in ascending order in first row.
Write natural number 9
to 1 in descending order in second row.
In third row repeat
the digits of first row.
In fourth row repeat
the digits of second row.
In fifth row write
only 2 and add vertically.
Result : We get a
series of 2.
First Row

1

2

3

4

5

6

7

8

9

Second Row

9

8

7

6

5

4

3

2

1

Third Row

1

2

3

4

5

6

7

8

9

Fourth

9

8

7

6

5

4

3

2

1

Fifth Row

+

+

+

+

+

+

+

+

2

Total

2

2

2

2

2

2

2

2

2

Magic 7 : Prove that 2 = 1 which is not
generally true
To Prove 2 = 1
It is well known fact
that 2 is not equal to 1 but we
can prove that 2 = 1 by using the following algorithms
Let us consider the
expression a^{2} – a^{2 }
^{}
a^{2} – a^{2}

(a + a)(a – a)

a(a  a)

(a + a)(a – a)

Dividing both side by (aa)

a

a + a

a

2a

1

2

Magic 8 : Prove that 3
= 4 which is generally not true
It is well known fact
that 3 is not equal to 4 but we can prove it as follows
Magic 9 : Magic Number 12345679
12345679 is a magic
number because of the following reasons
12345679 x 9 (1 x9) =
11111111
12345679 x 18(2 x 9) =
22222222
12345679 x 27 (3 x 9)
= 33333333
12345679 x 36 (4 x 9)
= 44444444
……………………………………………..
……………………………………………..
12345679 x 81 (9 x 9)
= 99999999
Magic 10 : Magic of Number 152207
152207 is a magic number because if we multiply it by 73 then we
get eight times one.
If we multiply it by 73 X 2 then we get eight times two.
If we multiply it by 73 X 3 then we get eight times three
and so on...
Example :
152207 x 73 (73 x 1)

11111111

152207 x 146 (73 x 2)

22222222

152207 x 219 (73 x
3)

33333333

152207 x 292 (73 x
4)

44444444

152207 x 365 (73 x
5)

55555555

…………………..

………….

152207 x 657 (73 x
9)

99999999

Magic No 11 : Always getting Answer
Think of a number. Double it. Add six to it. Make its half. Take away the number you started with. Your is is always 3
Magic No. 12: Story of a Mathematician
Once a math. teacher lend Rs 15000 from a rich person, after few days he again lend Rs 25000 from the same person and then forget to return the money. After many days the rich person went to the Math. Teacher and ask for the money. Math. Teacher replied as he returned the money many days back. He explains the concept as follows.
15000+25000

40000

A + B

C

(A +B)(A+B)

C(A + B)

A^{2 }+ AB + AB + B^{2}

AC + BC

A^{2 }+ AB  AC

BC – AB  B^{2}

A(A + B  C)

B(A + B  C)

Cancel (A +B – C) on both side we get

A

 B

A + B

0

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