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Canada

Mexico

European Union

Argentina

Portugal

Denmark

Germany

Czech Republic

Croatia

Slovakia

Greece

Russia

STANDARD TIME ZONES OF THE WORLD 150

135

120

105

90

75

60

45

30

15

0

15

30

45

60

75

90

105

120

135

150

165

10

9

8

7

6

5

4

3

2

1

0

1

2

3

4

5

6

7

8

9

10

11

OCEAN

Svalbard FRANZ JOSEF LAND

Qaanaaq (Thule)

4

Greenland

75

Itseqqortoomiit (Scoresbysund)

Wrangel Island

(NORWAY)

5

9

6

Dawson

Chukchi Sea

Norwegian Sea Davis Strait

Iqaluit (Frobisher Bay)

Nuuk (Godthåb)

Denmark Strait

11

0

ICELAND

SWEDEN

Anchorage

C A N A D A Edmonton

IRELAND Island of Newfoundland

KINGDOM London

6

7

ATLANTIC

5 Bermuda (U.K.)

SWITZ.

SLO.

(PORT.)

BOS.& SER. & HER. MONT.

SPAIN

ALGERIA

MEXICO

U.S. HAWAIIAN ISLANDS

THE BAHAMAS

HAITI DOMINICAN REPUBLIC

BELIZE GUATEMALA

15

EL SALVADOR

Caribbean Sea

SENEGAL

NICARAGUA COSTA RICA

0

THE GAMBIA GUINEA-BISSAU

TRINIDAD AND TOBAGO

PANAMA

GUINEA

GUYANA

COLOMBIA

LIBERIA

French Guiana (FRANCE)

SURINAME

BURKINA FASO

CÔTE D'IVOIRE

SIERRA LEONE

VENEZUELA

Red Sea

GHANA

E IS

GALAPAGOS ISLANDS

LAN

KIRIBATI

DS

12

(N.Z.)

Kinshasa

4

PERU

SOUTH

PACIFIC

PARAGUAY

(U.K.)

São Paulo

(St. Helena)

ZIMBABWE

ATLANTIC

Easter Island

OCEAN

(CHILE)

30 ARCHIPIÉLAGO JUAN FERNÁNDEZ (CHILE)

3

Socotra

(INDIA) (INDIA)

BOTSWANA

11

12

I N D O N E S I A

PAPUA NEW GUINEA

KIRIBATI (GILBERT ISLANDS)

0

K I R I B A T I RAWAKI (PHOENIX ISLANDS)

SOLOMON ISLANDS

12

4:00

8

5:00

7

6:00

6

7:00

5

8:00

South Georgia and the South Sandwich Islands (administered by U.K. claimed by ARGENTINA)

4

9:00

3

10:00

2

(N.Z.)

EAST TIMOR

10

TUVALU

SAMOA

MOZAMBIQUE Mozambique Channel MADAGASCAR

Coral Sea Islands

MAURITIUS

INDIAN

Reunion (FRANCE)

15

Coral Sea

TONGA 13

New Caledonia

Alice Springs

(FRANCE)

AUSTRALIA

OCEAN

FIJI

VANUATU

(AUSTL.)

Norfolk Island (AUSTL.)

11½

KERMADEC ISLANDS

Perth Sydney

(N.Z.)

Lord Howe Island

10½

Great Australian Bight

Tasman Sea

NEW ZEALAND

Tasmania

China

Brazil

Japan

France

PRINCE EDWARD ISLANDS (SOUTH AFRICA)

5

(number indicates standard time in zone when it is 12 noon, UTC)

0

1

(N.Z.)

(Fr. S. and Ant. Lands)

12¾

ÎLES KERGUELEN

5

WEST

13:00

1

EAST

South Africa

14:00

2

15:00

3

16:00

4

(Fr. S. and Ant. Lands)

17:00

5

18:00

6

19:00

7

20:00

8

21:00

9

22:00

10

23:00

11

Sun 24:00

12

(Subtract time zone number from local time to obtain UTC. Add time zone number to UTC to obtain local time.)

United States of America

30

45

CHATHAM ISLANDS

ÎLES CROZET

Sun 12:00

11:00

Tokelau

(AUSTL.)

(FRANCE)

(Add time zone number to local time to obtain UTC. Subtract time zone number from UTC to obtain local time.)

Australia

15

MARSHALL ISLANDS

PALAU

BRUNEI

LESOTHO

formerly Greenwich Mean Time (GMT)

(U.S.)

10

(U.S.)

French Southern and Antarctic Lands

Falkland Islands (Islas Malvinas) (administered by U.K. claimed by ARGENTINA)

9

Johnston Atoll

Westward across Date Line add 24 hours

(St. Helena)

1000 Miles

10

10

(U.S.)

FEDERATED STATES OF MICRONESIA

Cocos (Keeling) Islands

30

Guam

PHILIPPINES

(St. Helena)

Boundary representation is not necessarily authoritative.

11

Northern Mariana Islands

NAURU

6

45

subtract 24 hours

Philippine Sea

MALAYSIA

British Indian Ocean Territory (U.K.)

DS

Eastward across Date Line

SINGAPORE

SWAZILAND

Coordinated Universal Time (UTC)

3:00

(INDIA)

OCEAN

AP (J

Gough Island

1000 Kilometers

2:00

South China Sea

TRISTAN DA CUNHA

45

Sun 1:00

5

3 SOUTH AFRICA

CAMBODIA

NICOBAR ISLANDS

I S L AN

(AUSTL.)

CHILE

500

SRI LANKA

MALDIVES

KENYA

Miller Cylindrical Projection 0

6

K

Manila

VIETNAM

ANDAMAN ISLANDS LAKSHADWEEP

U

Y

Hong Kong S.A.R. Macau S.A.R.

LAOS

THAILAND

PACIFIC

JAPAN

Buenos Aires

Scale 1:85,000,000 at 0º 500

Bay of Bengal

(YEMEN)

St. Helena (U.K.)

BURMA 6½

Mumbai (Bombay)

UT I A N

NORTH

URUGUAY

ARGENTINA

0

Arabian Sea

SEYCHELLES

NAMIBIA Pitcairn Islands

Kolkata(Calcutta)

4

COMOROS

St. Helena

SOUTH

RY

INDIA

OMAN

YEMEN

MALAWI

ZAMBIA Brasilia

BANGLADESH

BURUNDI

ANGOLA

(FRANCE)

Shanghai

A LE

occupied by the SOVIET UNION in 1945, administered by RUSSIA, claimed by JAPAN

Tokyo

10

U.S.

PetropavlovskKamchatskiy DS AN

9

BHUTAN

L IS

Nairobi

Ascension (St. Helena)

BOLIVIA

NEPAL

TANZANIA

BRAZIL

Lima

OCEAN

French Polynesia

RWANDA

DEM. REP. OF THE CONGO

Annobon

5

IL UR

Sea of Japan

SOUTH KOREA

8

PAKISTAN

SOMALIA Kisangani UGANDA

REP. OF THE CONGO

(EQ. GUI.)

5

ÎLES MARQUISES (French Polynesia) 9½

Manaus

GABON

Persian Gulf

NORTH KOREA

CHINA

QATAR UNITED ARAB EMIRATES

DJIBOUTI

CAMEROON

SAO TOME AND PRINCIPE

ETHIOPIA

CENTRAL AFRICAN REPUBLIC

Gulf of Guinea

ECUADOR

(ECUADOR)

10

Cook Islands

NIGERIA Lagos

EQUATORIAL GUINEA

LIN

0

SUDAN 2

1

BENIN

TOGO

SAUDI ARABIA 3

ERITREA

CHAD

Beijing

AFGHANISTAN

KUWAIT

NIGER

MALI

KYRGYZSTAN

BAHRAIN

MAURITANIA

CAPE VERDE

JAMAICA

HONDURAS

K

TAJIKISTAN

Tehran

IRAN

IRAQ JORDAN

EGYPT

Western Sahara

UZBEKISTAN TURKMENISTAN

CUBA

Mexico

10

LIBYA

MONGOLIA

Caspian Sea AZERBAIJAN

SYRIA

LEB. ISRAEL

Cairo

(SPAIN)

Gulf of Mexico

ARMENIA

CYPRUS

MOROCCO

10 Vladivostok

GEORGIA

TURKEY

Mediterranean Sea

TUNISIA

Sea of Okhotsk

6

Aral Sea

. Istanbul

GREECE

Casablanca

Novosibirsk

Lake Baikal

KAZAKHSTAN

Black Sea

BULGARIA

MACE.

60

Bering Sea

Astana

ROMANIA

CANARY ISLANDS

30

15

HUNG.

CRO.

9

Magadan

4

Samara

MOLDOVA

MALTA MADEIRA ISLANDS

10

8

Sakhalin

1

OCEAN

Omsk

UKRAINE

SLOV.

ALB.

PORTUGAL

AZORES (PORT.)

Dallas

Los Angeles

OCEAN

AUS.

ITALY

NORTH

Moscow

LITH.

Yakutsk

7

Perm'

Izhevsk

BELARUS

CZ. REP.

(FRANCE)

New York

UNITED STATES

PACIFIC

FRANCE

4

POLAND

GERMANY

BEL.

Paris

St. Pierre and Miquelon

Toronto Chicago Denver

RUS.

NETH.

8

DENMARK

LUX.

Québec

45

LAT.

North Sea

UNITED

4 Winnipeg

NORTH

3

EST.

Labrador Sea

5

St. Petersburg

Hudson Bay

12

9

R U S S I A

FINLAND

NORWAY

60

75

East Siberian Sea

Jan Mayen

Repulse Bay

U.S.

NEW SIBERIAN ISLANDS

NOVAYA ZEMLYA

1

3

7

11

International Date Line

Beaufort Sea

Laptev Sea Barents Sea

(DENMARK)

Baffin Bay

3

12

OCEAN

Kara Sea

Greenland Sea

0

U

6

ARCTIC

SEVERNAYA ZEMLYA

(NORWAY)

International Date Line

ARCTIC

180

12

DS

11

IS AN L A N )

165

New Zealand

Italy

Egypt

United Kingdom

Generic H/M Bookmark

India

Sun 00:00

12

Sun 1:00

11


Multiplication Table

Area of a rectangle: 10 11 12 13 14 15

18

20

22

24

26

28

30

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

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

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

9

18

27

36

45

54

63

72

81

90

99

108

117

126

135

10

20

30

40

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

An acute angle is one which is less than 90°. An obtuse angle is one which is more than 90° but less than 180°. A reflex angle is one which is more than 180° but less than 360°.

Reflex Angle Acute Angle

Obtuse Angle

Trigonometric Ratios y Sin θ =  ― z x Cos θ =  ― z y Tan θ =  ― x

z

y

Perimeter of a rectangle:

a² + b² = c²

c

a

Area of a Circle: Area = π r²

r (radius)

b

Circumference of a Circle:

# Where a is height of the triangle, b is base and c is its hypotenuse. Also, α + β + γ = 180°.

Circumference = 2π r

Area of a triangle:

Volume of a Sphere:

1 Area =  — base x height 2

Length of an Arc (l): θ l =  ——— x 2π r 360°

4 Volume =  — π r³ 3

r (radius)

Surface Area of a Sphere:

θ

Surface Area = 4π r²

h (h

Volume of a Cylinder:

r (radius)

Volume of a cone:

Volume = π r²h

1 Volume =  — π r²h 3

e ig

ht)

Surface Area of a Cylinder: Surface Area = 2π r (r + h)

Periodic Table 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

Alkali Earth Metals

GROUP 1

1.0 3

Li

2

6.9 11

Na

3 4 5

23.0

19

K

39.1 37

Rb Cs

132.9

Fr

(223)

Alkali Metals

He

Halogens

4.0

4

5

Be

B

9.0

13

Mg 24.3

20

Ca Sr

Ba

137.3 88

Ra

(226)

Lanthanoid Series

Sc

22

45.0 39

87.6 56

C

Al

Y

47.9 40

88.9 57-71

lanthanoids 89-103

actinoids

57

La

138.9 89

Actinoid Series

Ac

(227) # ##

Ti

23

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 54.9

43

95.9

74

W

183.9 106

Sg

(266)

60

Nd

144.2 92

U

238.0

26

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 21

40.1

38

6

10.8

12

85.5

87

7

2

H

1

6

x

b

Perimeter = 2 (a + b)

55

# 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.

Pythagorean Theorem:

) ng t h

Angles

(x+a)(y+b) = xy + xb + ay + ab

a

l ( le

6

Area = a x b

s)

9

16

diu

8

14

r (ra

7

12

s)

6

10

iu

5

8

ad

4

6

r (r

3

4

PERIOD

2

2

The value of pi (π ) = 3.14159265358979323846264338327950288419716939937510

1

Binomial Product:

Ge

P

As

Sn

118.7 82

Pb

207.2 114

Sb

121.8 83

Bi

209.0 115

S

Se Te

127.6 84

Po

(209) 116

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.

70

Yb

173.0 102

No

(259)

Cl

Br

79.9 53

I

126.9 85

At

(210) 117

Uus

71

Lu

175.0 103

Lr

(262)

Metalloids

10

Ne

Noble Gases

20.2

18

Other Metals

Ar

35.5 35

79.0 52

Uuq Uup Uuh

68

F

19.0 17

32.1 34

74.9

51

9

16.0 16

31.0 33

72.6

50

O

14.0 15

28.1 32

8

Other Non Metals

39.9 36

Rare Earth Metals

Kr

Transition Metals

83.8 54

Xe

Gases

He

Rn

Liquids or melt at close to room temperature

Ga

131.3 86

(222)

Solids

Fe

Synthetic Elements

Sg

118

Uuo

How to Read the Table Atomic Number Element Symbol Atomic Weight

36

Kr

83.8


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