Multiplication Table 1
2
3
4
5
6
7
8
9
10 11 12 13 14 15
Area of a rectangle:
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
Area = a x b
3
6
9
12
15
18
21
24
27
30
33
36
39
42
45
4
8
12
16
20
24
28
32
36
40
44
48
52
56
60
Perimeter of a rectangle:
5
10
15
20
25
30
35
40
45
50
55
60
65
70
75
Perimeter = 2 (a + b)
6
12
18
24
30
36
42
48
54
60
66
72
78
84
90
7
14
21
28
35
42
49
56
63
70
77
84
91
98
105
8
16
24
32
40
48
56
64
72
80
88
96
104
112
120
54
63
72
81
90
99
108
117
126
135
50
60
70
80
90
100
110
120
130
140
150
11
22
33
44
55
66
77
88
99
110
121
132
143
154
165
12
24
36
48
60
72
84
96
108
120
132
144
156
168
180
13
26
39
52
65
78
91
104
117
130
143
156
169
182
195
14
28
42
56
70
84
98
112
126
140
154
168
182
196
210
15
30
45
60
75
90
105
120
135
150
165
180
195
210
225
Area = π r²
r (radius)
Area of a triangle:
Volume of a Sphere: 4 Volume = — π r³
1 Area = — base x height 2
Surface Area of a Sphere: Surface Area = 4π r²
ad
r (r
) ng t h
θ
Angles and Trigonometric Ratios
h (h
Volume of a Cylinder: Volume = π r²h
r (radius)
Volume of a cone: 1 Volume = — π r²h
r (radius)
3
l ( le
360°
An obtuse angle is one which is more than 90° but less than 180°.
b
Circumference = 2π r
Length of an Arc (l): θ l = ——— x 2π r
An acute angle is one which is less than 90°.
a
# Where a is height of the triangle, b is base and c is its hypotenuse. Also, α + β + γ = 180°.
Circumference of a Circle:
s)
45
c
e ig
ht)
diu
36 40
a² + b² = c²
r (ra
27 30
Pythagorean Theorem:
Area of a Circle:
s)
18 20
(x+a)(y+b) = xy + xb + ay + ab
b
iu
9 10
Binomial Product:
a
Surface Area of a Cylinder: Surface Area = 2π r (r + h)
3
A reflex angle is one which is more than 180° but less than 360°. 1
Reflex Angle Acute Angle
3
Li 6.9
11
Na
4 5
PERIOD
3
y
23.0
19
37
Rb
# Where y is the side opposite the acute angle θ, x is the side adjacent to θ and z is hypotenuse. Also, Sin θ is sine of θ, Cos θ is cosine of θ and Tan θ is tangent of θ.
5
6
7
8
9
10
11
12
13
14
15
16
17
18 2
Alkali Earth Metals
Cs
132.9
Fr
(223)
Alkali Metals
He
Halogens
4.0
4
5
Periodic Table
Be 9.0
B
13
Mg 24.3
20
Ca Sr
21
Ba
137.3 88
Ra
(226)
Sc
39
Y
89-103
actinoids
57
La
138.9 89
Ac
(227)
Ti
23
47.9 40
88.9 57-71
lanthanoids
Lanthanoid Series
Actinoid Series
22
45.0
87.6 56
C
Al
Zr
91.2 72
Hf
178.5 104
Rf
(261)
58
Ce
140.1 90
Th
232.0
V
24
50.9 41
Nb 92.9
73
Ta
180.9 105
Db (262)
59
Pr
140.9 91
Pa
231.0
Cr
52.0 42
Mo
25
Mn
43
95.9
74
W
183.9 106
Sg
(266)
60
Nd
144.2 92
U
238.0
26
54.9
Tc
98.9 75
Re
186.2 107
Bh
(264)
61
Pm (145)
93
Np (237)
Fe
55.8 44
Ru
101.1 76
Os
190.2 108
Hs
(277)
62
Sm 150.4
94
Pu
(244)
27
Co
28
58.9
45
Rh
102.9 77
Ir
192.2 109
Mt
(268)
63
Eu
152.0 95
Am (243)
Ni
58.7 46
Pd
106.4 78
Pt
195.1 110
Ds
(271)
64
Gd
157.3 96
Cm (247)
29
Cu 63.5
47
Ag
107.9 79
Au
197.0 111
Rg
(272)
65
Tb
158.9 97
Bk
(247)
30
Zn 65.4
48
Cd
112.4 80
Hg
200.6 112
Cp
66
Dy
162.5 98
Cf
(251)
31
Ga 69.7
49
In
114.8 81
Tl
204.4 113
Uut
67
Ho
164.9 99
Es
(252)
7
N
12.0 14
Si
27.0
40.1
38
6
10.8
12
85.5
87
7
K
39.1
55
6
x
4
1.0
2
y Sin θ = ― h x Cos θ = ― h y Tan θ = ― x
3
H
1
Obtuse Angle
2
GROUP 1
Ge
P
33
As
Sn
118.7 82
Pb
207.2 114
Sb
121.8 83
Bi
209.0 115
Er
167.3 100
Fm (257)
69
Tm
168.9 101
Md (258)
# For elements that have no stable or long-lived nuclides, the mass number of the nuclide with the longest confirmed half-life is listed in parentheses. ## Elements with atomic numbers 112 and above have been reported but not fully authenticated.
The value of pi (π) = 3.14159265358979323846264338327950288419716939937510 The general equation of a straight line is given in the form: y = mx + c where m = gradient and c = y intercept
S
34
Se
19.0 17
52
Te
127.6 84
Po
(209) 116
70
Yb
173.0 102
No (259)
Cl
35
Br
Ne
I
126.9 85
At
(210) 117
Uus
71
Lu
175.0 103
Lr
(262)
Noble Gases
20.2
18
Other Metals
Ar
Other Non Metals
39.9 36
Rare Earth Metals
Kr
79.9 53
Metalloids
10
35.5
79.0
Uuq Uup Uuh
68
F
32.1
74.9
51
9
16.0 16
31.0
72.6
50
O
14.0 15
28.1 32
8
Transition Metals
83.8 54
Xe
131.3 86
Rn
(222)
He Ga
Solids
Fe
Synthetic Elements
Sg
118
Uuo
Gases Liquids or melt at close to room temperature
How to Read the Table Atomic Number Element Symbol Atomic Weight
36
Kr
83.8