Maths - Some Interesting Results
03 September 2012
25 x 92 = 2592
2178 x 4 = 8712
1089 x 9 = 9801
(20+25)2 = 2025
(30+25)2 = 3025
(98+01)2 = 9801
(88+209)2 = 88209
(494+209)2 = 494209
68 + 89 + 96 = 253
86 + 98 + 69 = 253
753 + 849 = 1602
847 + 359 = 1206
623 + 475 = 1098
789 + 246 = 1035
364 + 725 = 1089
13/4 + 13/9 = 169/36
13/4 x 13/9 = 169/36
3/5 - 3/8 = 9/40
3/5 x 3/8 = 9/40
169/30 + 13/15 = 13/2
169/30 13/15 = 13/2
121/28 11/7 = 11/4
121/28 11/7 = 11/4
2+2=4
2x2=4
1+2+3=6
1x2x3=6
Problem:
Can you form 100 using all digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 exactly
once. Any mathematical symbols can be used. (There is no restriction in
the number of symbols used)
Answer(s):
123 + 45 67 + 8 9 = 100
123 45 67 + 89 = 100
12 3 4 + 5 6 + 7 + 89 = 100
12 + 3 4 + 5 + 67 + 8 + 9 = 100
98 + 1 + (27/54) + (3/6) = 100
(1 x 2) + 34 + 56 + 7 8 + 9 = 100
1 + 2 + 3 + 4 + 5 + 6 + 7 + (8 x 9) = 100
1 + (2 x 3) + 4 + 5 + 67 + 8 + 9 = 100
(-1 x 2) 3 4 5 + (6 x 7) + (8 x 9) = 100
123 + 4 5 + 67 89 = 100
123 4 5 6 7 + 8 9 = 100
(1 + 2 3 4) x (5 6 7 8 9) = 100
(9 + 8 + 7 + 6 5) x (4 + 3 2 1) = 100
19 + (3 x 2) + 4 + 5 + 6 +78 = 100
87 + 9 + 6 + 5 (3 x 2) - 14 = 100
98 7 + 6 + 5 4 + 3 2 + 1 = 100
79 + (8 x 3) 4 + 6 5 x (2 1) = 100
69 + 8 + 7 + (5 x 4) 3 2 + 1 = 100
97 + 8 6 + 4 5 + 3 2 + 1 = 100
83 + 45 29 + 7 (6 x 1) = 100
(78 x 2) 65 + 4 3 + 9 1 = 100
147 85 + 23 + 6 + 9 = 100
783/9 + 6 + 5 + 4 3 + 2 1 = 100
852/6 39 7 + 41 = 100
85 + 9 + 6 + 7 3 4 x (2 1) = 100
196 87 + 25 34 = 100
12 + 34 + 56 7 + 8 - 9 = 100
1 + (23 x 4) + 5 6 + 7 8 + 9 = 100
9 8 + 7 + 65 + 4 + (23 x 1) = 100
(9 x 8 x 7) + 6 + 5 + 4 + (3 x 2) + 1 = 100
27 9 8 6 5 + 4 3 1 = 100
87 + 9 + 3 + (4/5) + (1.2/6) = 100
-1 2 3 + 4 + 5 + 6 7 + 98 = 100
182 97 + 6 +5 + 4 3 = 100
246 - (8 x 7) 59 31 = 100
(9 x 4) + (6 x 3) + (8 x 7) - (5 x 2 x 1) = 100
9 + 24 + 53 + 8 + 7 + 6 - 1 = 100
265 79 84 3 + 1 = 100
(1 x 8 x 9) + 67 35 - 4 = 100
1 x (9.8 + .2) x (4 3 + 7 - 6) x 5 = 100
(6 x 9) x (5 - 4) + 18/2 + 37 = 100
3 + (8 x 7) + (6 x 9) 14 - 5 = 100
(4 3) x 2 + (7 x 5) + 81 + (6 x 9) = 100
36/4 + (8 x 7) + 25 + 9 + 1 = 100
98 + 2 + 4 + 3 7 + 1 + 5 6 = 100
6C3 + 8C4 + 9 + 1 + 5 + 2 7 = 100
....... ........ ........
MATHEMATICS QUIZ (01-30)
QUESTIONS
1. Fear of Numbers is called?
2. Where did the magic square originate?
3. Who built the first electronic calculating machine?
4. Who is called the mathematicians mathematician?
5. How many thousands are there in one crore ?
6. Who coined the word Million ?
7. Mathematics, rightly understood possesses not only truth, but supreme
beauty. Who said it?
8. Who is called the father of Geometry?
9. Who invented logarithms?
10. If a + b = 0, then the largest value of a x b is?
11. Who is known as the Prince of Indian Mathematics?
12. A clock takes 6 seconds to strike 4 O clock. Then how much time it will
take to strike 8 O clock?
13. Let no one ignorant of geometry enter here. Whose words are these?
14. Can you write 31 using only digit 3 five times?
15. Which mathematician spent more than a decade of his last days as a blind
man?
16. The sum of some continuous counting numbers are equal to 1000. What
are they?
17. Which curve is known as the Helen of Geometry?
18. The number 1729 is popularly known as ?
19. Who is the first Indian to become the president of International
Astronomical Union?
20. Which Indian mathematician first framed the rules of operation with zero?
21. Number rules the universe. Who said it?
22. The essence of mathematics resides in its freedom. Who said it?
23. Five out of four people have trouble with fractions. Who said it?
24. The mathematician is like a Frenchman: you tell him something, he
translates it into his own language, and at once it becomes something
altogether different. Who said it?
25. God exists since mathematics is consistent, and the Devil exists since we
cannot prove it. Who said it?
26. Who used to always remark, I was x years old in the year x2 , whenever
anybody asked either his age or his year of birth?
27. Mathematics is all well and good, but Nature keeps dragging us around by
the nose. Who said it?
28. Beauty is the first test; there is no permanent place in the world for ugly
mathematics. Who said it?
29. A great mathematician should know above all things how to calculate his
happiness. Who said it?
30. As far as the laws of mathematics refer to reality, they are not certain; and
as far as they are certain, they do not refer to reality. Who said it?
ANSWERS
1. Numerophobia
2. China
3. John V. Atanasoff
4. Arthur Cayley
5. 10000
6. Marco Polo
7. Bertrand Russell
8. Euclid
9. John Napier
10. Zero (when a=0 and b=0) (in all other cases, either a or b will be negative
and hence the product will also become negative)
11. Srinivasa Ramanujan (1887-1920)
12. 14 seconds
13. Plato
14. 33+3+3/3 or 33-3+3/3 or 3*3/.3+3/3
15. Leonard Euler (1707-1783)
16. There are three set of possible solutions.
(1) 28 to 52 (2) 55 to 70 (3) 198 to 202
17. Cycloid
18. Ramanujan Number
19. M K Vainu Bappu (1927-1982)
20. Brahmagupta
21. Pythagoras (570 BC-495 BC)
22. Georg Cantor (1845-1918)
23. Steven Wright
24. Johann von Goethe (1749-1832)
25. Andre Weil (1906-1998)
26. Augustus De Morgan (1806-1871) (Since he was 43 years old in the year
1849 such that x=43 and x2=1849)
27. Albert Einstein (1879-1955)
28. G. H. Hardy (1877-1947)
29. Jean DAlembert (1717-1783)
30. Albert Einstein (1879-1955)
Mathematical Symbols - Roman Numerals
03 September 2012
Roman Numerals
Number
Roman numeral
II
III
IV
VI
VII
VIII
9
10
IX
X
11
XI
12
XII
13
XIII
14
XIV
15
XV
16
XVI
17
XVII
18
XVIII
19
XIX
20
XX
30
XXX
40
XL
50
60
LX
70
LXX
80
LXXX
90
XC
100
200
CC
300
CCC
400
CD
500
600
DC
700
DCC
800
DCCC
900
CM
1000
5000
10000
50000
100000
500000
1000000
Mathematical Symbols - Basic math
symbols
03 September 2012
.
Symbol
>
<
()
[]
+
Symbol Name
equals sign
not equal sign
strict inequality
strict inequality
inequality
inequality
parentheses
brackets
plus sign
minus sign
plus - minus
minus - plus
asterisk
times sign
multiplication dot
division sign / obelus
division slash
horizontal line
mod
modulo
.
ab
a^b
a
3
a
4
a
n
a
%
period
power
caret
square root
cube root
forth root
n-th root (radical)
percent
per-mille
ppm
per-million
ppb
per-billion
ppt
per-trillion
Maths Tricks
06 September 2012
MATHS NUMBER PATTERNS - 6
1X8+1=9
12 X 8 + 2 = 98
123 X 8 + 3 = 987
1234 X 8 + 4 = 9876
12345 X 8 + 5 = 98765
123456 X 8 + 6 = 987654
1234567 X 8 + 7 = 9876543
12345678 X 8 + 8 = 98765432
123456789 X 8 + 9 = 987654321
MATHS NUMBER PATTERNS - 5
9 X 9 + 7 = 88
98 X 9 + 6 = 888
987 X 9 + 5 = 8888
9876 X 9 + 4 = 88888
98765 X 9 + 3 = 888888
987654 X 9 + 2 = 8888888
9876543 X 9 + 1 = 88888888
98765432 X 9 + 0 = 888888888
MATHS NUMBER PATTERNS - 4
1 + 2 =3
4+5+6=7+8
9 + 10 + 11 + 12 = 13 + 14 + 15
16 + 17 + 18 + 19 + 20 = 21 + 22 + 23 + 24
25 + 26 + 27 + 28 + 29 + 30 = 31 + 32 + 33 + 34 + 35
36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 +
48
MATHS NUMBER PATTERNS - 4
1 + 2 =3
4+5+6=7+8
9 + 10 + 11 + 12 = 13 + 14 + 15
16 + 17 + 18 + 19 + 20 = 21 + 22 + 23 + 24
25 + 26 + 27 + 28 + 29 + 30 = 31 + 32 + 33 + 34 + 35
36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 +
48
MATHS NUMBER PATTERNS - 2
999999 X 1 = 0999999
999999 X 2 = 1999998
999999 X 3 = 2999997
999999 X 4 = 3999996
999999 X 5 = 4999995
999999 X 6 = 5999994
999999 X 7 = 6999993
999999 X 8 = 7999992
999999 X 9 = 8999991
999999 X 10 = 9999990
MATHS NUMBER PATTERNS - 1
0x9+1=1
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 + 10 = 1111111111
