Prime number: The number whose only factors are 1 and the number itself
<::omposite number: The number having more than two factors
JANUARY
SUN MON TUE WED THU
1
7
FRI
SAT
2
3
4
5
Nlethei' Prime
nor Composite
Prime !'Umber
Factors:1,2
Prime 11umber
Factors:1,3
composite
number
Factors:l,2,4
Prime number
Factors:1,5
Composite
number
Factors:l,2,3,6
8
9
10
11
12
13
6
Prime number
Factors:1,7
Composite
number
Factors:1,2,
4,8
Composite
number
Factors:l,3,9
Composite
number
Factors:l,2,5,10
Prime number
Factors;l,11
Composite
number
Factors:1,2,3.,4,
6,12
Prime number
Factors:1,13
14
15
16
17
18
19
20
21
22
Composite
Composite
number
number
i=actors:1,2, 7,14 Factors:1,3,5,15
Composite
number
Factors:1,3,
7,21
28
Composite
number
Fattors:1,2,4,
7,14,28
composite
number
Factors:1,2,
11,22
29
Prime number
Factors:1,29
Composite
number
Factors:l,2,4,
8,16
Prime number
Fa.ctors:1,17
composite
number
Factors:1,2,3,6,
9,18
Prime number
Factors:1,19
Gomposite
number
Factors:1,2,4,5,
10,20
23
24
25
26
27
Prime 11umber
Factors:1,23
30
composite
number
Factors:1,2,3,5,
6,10,15,30
Composite
number
FactO(S:1,2,3,4,
6,8,12,24
31
Prime number
Factors:l,31
Composite
number
Factors:1,5,25
Composite
number
Factors:1,2,
13,26
Composite
number
Factors:1;3,9,27
HOLIDAYS&IMPORTANT DAYS
1, New year
23, David Hilbert Birth day
15.Makara Sankranthi
25.Legrange Birth day
16.Kanuma
25.Kajarat All jayanthl
17.D.R.Kaprekar's birth day 26.Republic day
FEBRUARY
Leap year: 2024 Is a Leap year as it divides exactly by 4. So, February lias 29 days.
Unique ness of this year 2024 we ean make different numbers by using 2 10,2,4 digits
Factorial 4= 41 = 4x3x2x1=24, 01 = 1
SUN MON TUE WED THU
HOLIDAYS&IMPORTANT DAYS
1
7. Shah e meeraj
7. G.H.Birth day
(2+o)
15. Gelelio Birth day
19. Kopemicus Birth day
4
5
6
7
l(
2
4
8
FRI
SAT
2
3
4
2 x2
4
20+-
9
10
°
2
22° x 4
2+4-2°
2° X (2+4)
2° + (2+4)
2+0+2+4
2°+(2x4)
2+0+(2x4)
11
12
13
14
15
16
17
42- (2+01)
4!
0+
2
4!
2 -2
0
20 • (2+4)
2 XO +24
18 19 20 21 22 23 24
4
2 + 0+2
2 +o! +2
25
26
(2)°+24
2+0+24
4
-(2+0+2)+4!
22-4
(-2)+0+24
27
28
29
2+ 01+24
°
2+0+2+41
2+01+2+41
-(2)0+24
(2x0)+24
applied cerlain concepts from Vedic Mathematics to
artificial intelligence.
MARCH
Square: When a natural number is multiplied by itself, the resultant is a square. Square root of a number is a value
that can be multiplied by Itself to give the original number.
Cube: Wtien a number multiplied by the same three times, the resultant is a cube. Cube root of a number Is a value
that can be multiplied by itself three times to give the original number.
SUN MON TUE WED THU
31
v961
3
v9
HOLIDAYS&IMPORTANT DAYS
3. George cantor Birth day
8. Maha Siva raathri
14. Einstein Birth day
4
Perfect
5
1125
square (2 2)
III
11
v121
12
17
18
24
10
• •
'11576
21. Aryabatta Birth day
29.Good Fri day
{/216
13
1
Perfect square
& Perfect cube
25. Holi
6
FRI
7
1149
14
8
SAT
2
v4
9
Perfect
Perfect
cube (2 3)
square(3 2)
15
16
v169
{/,2744
'11324
19
-er6859
20
21
22
23
25
26
27
28
29
30
Perfect
2
square(5 )
'11400
Perfect cube
3
(3 )
f219s2
v22s
11484
v841
Perfect
square(42)
f21000
APRIL
Prime factorization: The process to express the given number as the product of prime numbers.
Eg: 6 = 2x3 . Some prime numbers have unique character. Eg: 2 rs a even prime.
Twin Primes: Prime numbers that differ by two. Eg: 7,5. Cousin primes: Prime numbers !hat differ by four. Eg: 23,19
Sexy primes: Prime numbers that differ by six. Eg: 13,19
SUN MON TUE WED THU
7
1
Even prime
8
2
3
4
FRI
SAT
5
6
Ohly prime
2x2
Sum of first
two primes &
Twin prime
2x3
9
10
2x5
11
Smallest two
digit prime
12
2x2x3
13
17
18
19
20
that
successor to
a prime
Sexy
prime
Largest single
digit prime &
twin prime
2x2x2
3x3
14
15
3x5
16
2x2x2x2
Cousin prime
2x3x3
Se/CY prime &
Cousin prime
2x2x5
21
22
23
24
25
26
27
2x7
3x7
28
2x2x7
2 X 11
29
Sexy prime
Sexy
pri.me
30
2x3x5
2x2x2x3
SxS
2x13
3x3x3
HOLIDAYS&IMPORTANT DAYS
1. Shahadat Hajarath All
5. Jamuthul vedaa
5. Jagjeevan Ram Jayanthl
9. Ugadhi
11. Ramjaan
15. Euler Birth day
17. Sri Rama Navami
21. Sakunthala Devi Vardhanthl
30. C.F. Gauss Birth day
MAY
Roman Numeral system: Roman numerals are number system that originated In ancient Rome.and remained
the usual way of writing numbers throughout world. There are seven alphabets to represent basic Roman numerals.
These are l,V,X,L,C,D,M
SUN MON TUE WED THU
HOLIDAYS&IMPORTANT DAYS
10. Basava Jayanthl
23. Buddha Poomima
25. Felix Klein Birth day
FRI
SAT
1
I
2
3
4
II
Ill
IV
5
6
7
8
9
10
X
11
12
13
14 15
16
17
18
19
20
xx
21 22
23
24
25
26
27
28 29
30
31
V
XII
XIX
XXVI
VI
XIII
XXVII
VII
XIV
XXI
XXVIII
VIII
xv
XXII
XXIX
IX
XVI
XXIII
XXX
XVII
XXIV
XXXI
XI
XVIII
XXV
JUNE
June is the 6th month of the year. We can make different numbers only with digit 6.
SUN MON TUE WED THU FRI
30
6
6x6-6
2
6 6
-+6 6
9
HOLIDAYS&IMPORTANT DAYS
6+6+6-6°- 6°
23
66
-+ 6 + 6
6
27. A.O.Morgan Birth day
29. P.C. Mahlonabis Birth day
5
4
3
6
6
6- 6 +
6
°
10 11
6
6
17 18
6+6+6-6°
(6+6+6)6°
24 25
6+6+6+6
6!
-+ 6- 6°
6x6
1
19. Pascal Birth day
25. Ed Agadheer
17. Bakrid
14. Neelakanta Somayaji Bi rth day
6 + 6- -
16
SAT
--
(6+6+6+6)0
7
6 X6
6
8
+6
0
(6+6° +6° )x60
12
13 14
15
19
20 21
22
6
6
(6 + 6)-
6+6+6+6°
26
6!
-+ 6
6x6
6+6+6+6° +6°
6'
__:_
6x6
0
6
+
27 28
6!
-+ 6 + 6°
6x6
6x6(6+6o+6o 1
6!
-+6"+6"
6x6
29
6 X6-{6+6° )
Rational numbers: Numbers which can be expressed as
t,
JULY
where a, bare Integers and b * O
BODMAS rule Is used to simplify expressions in math ematics
SUN MON TUE WED THU
FRI
SAT
2
5
6
1
1
5
-+6 6
7
8
14
15
66 (- 4
-)
--
s
s
5
5
9
ZS 6
-x­
z
13 3
--
5
12, 3
---
3
-4 x4
2. 1
--­
•
9 18
21 4
-+5 5
ZS 7
3 3
10
11
12
13
17
18
19
20
3
28
3+50+2
1
l
5-x2-2
s
1
36 +1-2
29 30 31
1+ 2x14
Sx12+2
4
l
(--)
3 + (- -)
15
5 • 20
21 22 23 24
1
l
23--15
5
4
66-Sx7
25
26
20-7 + 12 (-10) + 2 X 18
27
49-2x 11
HOLIDAYS&IMPORTANT DAYS
1. Lelbnltz Birth day
16. 91• Moharam
17. Moharam
22. Pi Approximation Day
31. Gabrial Crammer Birth day
l ogic, set theory, probability, computer science and
statistics.
AUGUST
Percentage_s: Pere.en! Is a number or ratio expressed as a fraction of 100.
SUN MON TUE WED THU
HOLIDAYS&IMPORTANT DAYS
4. John Venn Birth day
15. Indipendenc;e Day
15. Parsi New Year
4
5
20%of20
50%of 10
11
2S%of44
12
30%of 40
18
19
36%of50
10% of190
25
26
50%ofSO
13% of200
16. Varalakshml Vratham
20. Fermat Birth day
26. Krishnastaml
6
30% of 20
7
50%of 14
7% of200
SAT
3
1
10% of10
2
SO% of4
20%of1S
8
9
10
10% of 80
13 14 15
100%of 13
FRI
30%o fSO
30%of 30
5% of200
16
17
4%of 400
20 21 22 23
40% ofSO
7% of300
20% of 110
25%of 92
27 28 29 30
90% of30
200% of 14
25% of 116
60%of 50
20% of 85
24
60% of 40
31
25% of124
SEPTEMBER
Binary system: A Binary number system is one of the four types of number system.
In computer applications, where binary numbers are represented by only two symbols or digits , I.e. 0 and 1
SUN MON TUE WED THU
4
SAT
6
7
1
2
3
8
9
10 11 12 13 14
10002
10012
15
11112
16 17 18 19 20 21
100002
22
23 24 25
101102
29
111012
101112
30
10102
5
FRI
100012
110002
10112
100102
110012
11002
11012
11102
100112
26 27
110102
110112
HQL-IPAYS&IMPORTAN.T DAYS
3. J.J Sylvester Birth day
S. Teachers Day
7. J.N.Kapur Birth day
7. Vinayaka Jayanthi
10. C.R. Rao Birth day
16. Milad unnabi
28
111002
OCTOBER
•Mathematician after Ramanujan. He was awarded Padma
Bhushan in 1977.
Exponents: Very Large numbers or Very small numbers are expressed In terms of exponents.
100000 = 10 x 10 x 10 x10 x 10 -10' ; am O a x a x a x ...... m times am -. a rs base, m Is exponent.
Exponents laws :a m X an = am+n, a m+ a" :. am - 11, (am)",,_am" I a�' = am a0 = 1
I
SUN MON TUE WED THU
HOLIDAYS&
IMPORTANT DAYS
2. Gandhi Jayanthl
2. Mahalaya Amavasya
11. Hareesh Chandra Birth day
6
7
FRI
SAT
5
1
2
3
4
8
9
10
11 12
(2024) 0
7
13
14
56 X 2-2
•
27
42 X z-4-x 27
•
21 22 23
20
24
232 X ..!:._
27 + 42 X 3
30
31
23
28
4
2
2 + 2 x1
29
292 X .1.
29
1
.
3 1x 5 1
-x
1
z -
22
17 18 19
16
120 + 23
+
625 + 53
314 )( 31- 3
••
25 26
54 + 5 3 X 5
13x2 4xz-3
HO!.IDAYS&
IMPORTANT DAYS
11. Ourgastami
15. AzDhahamSharlff
31. Oeepavali
NOVEMBER
Trigonometric functions are related to an angle· of a rlght angled triangle to ratios of two slde·lengths.
They are widely used In all sciences that are related to geometry such as navigation, celestlal mechanics etc..
SUN MON TUE WED THU FRI
HOLIDAYS & IMPORTANT DAY§
2. George Boole Birth day
22. LakkojuSanjeevaRaya
Sharma Birth day
4. 5akunthala Devi Birth day
23. Fibonacci Day
15. Karthik poomlma/ Gurunanaklayanthi
3
4
5
6
+Cosec 30 °
x Cosec30°
x 2 sec60°
2(tan 45°
+ cosec30°)
10
11
12
13
Cot 45
°
5(cosec2 45 °)
17
4(sec2 60°) +
sin90°
24
8 (tan2 6 0°)
Sec60°
Cos0° ·
3sec60 °
+ cot 45°
14
3(sec2 60°) sin90°
4(sec60°
+ cos 0 }
5cosec30°
+ 3cot 45.,
18
19
20
°
Sec60°
4(sec2 60 °)
+3cot45 °
5(sec2 60°)
25
26
27
(3tan2 60°)
°
5(cos0
°
+ 2sec60 )
7
5cosec2 30°
+ 6cos0°
°
13sec60
+ tan 45°
7(sin90°
°
+ co s 0 )
SAT
2
1
Tan 45 °
sec60°
8
9
cosec2 30°
+ sec2 60°
Cot 45°
+7sec 60°
3 (tan2 60°)
16
4(sec2 60°)
21 22 23
7cot30 °
xtan60°
ll(sin90°
+ cos0° }
8 cot2 30°
-cot 45°
28 29 30
1cosec2 30°
°
14sec60
°
� tan 45
6(cosec2 30
+ cot45°)
DECEMBER
Ramanujan's number 1729 Is a special as It can be written as 10' + 9' or 12' + 1'. Every number Is unJque
SUN MON TUE WED THU
2
3
4
FRI
1
Multlpllcatlye
Identity
First prime
Sum of first
three whole
numbers
First
composite
number
Sum of first
two primes
First common
multiple o f first
two primes
largest single
digit prime
8
9
10
11
12
13
14
5
6
SAT
7
largest slngle
digit cube
Sum of all
digits of any
multiple of 9
Sum of first
three primes
Smallest two
digit prime
Sum of first
three even
numbers
Sum o f squares
of first two
primes
Sum of :squares
of first three
natural numbers
15
16
17
18
19
20
21
Sum of first
five natural
numbers
Sum of first
four odd
numbers
Sum of all
slngle digit
primes
Sum of first
three
composites
Formed by first
and last digits
of RamanUjan's
number
Sum of'squares
of first two even
numbers
Number of two
digit prime
numbers
22
23
24
25
26
27
28
Product of
first slngle
digit and
double digit
primes
Formed by first
two primes
Product of first
two composite
numbers
29
30
31
Number of
days In
February of
leap year
Product of
first three
primes
Sum of first
five odd
numbers
Only integer
that ls one
greater than a
square and one
less than a cube
First composite
not dlvlslble by
any of its digits
Sum o f first five
non prime
numbers
HQ!,.IDAY§AIMPQRTANT DAY§
22. Srinivasa ramanujan Birth day,
26. Boxing Day
Happy number 24. Chrstamas Eve
25. Christamas
26. Charles Babbage Birth day
25. Newton Birth day
27. Bernoull Jakob Birth day
Prepared by Y. ESWAIIA RED DY SA (Maths) APMF Vlsakhapatnsm - 9493025589