ARITHMETIC-BASED GENERAL PAPER QUESTIONS FOR STUDENTS,TEACHERS AND SCHOOLS

CONVERSION DATA NOT AVAILABLE AT BACK OF ANY EXERCISE BOOK!

Length

Standard measure

1 mile = 1760 yards = 5280 feet
1 yard = 3 feet = 36 inches
1 rod = 5.5 yards = 16.5 feet
1 hand = 4 inches
1 span = 9 inches
1 light year = 5 878 500 000 000 miles

1 kilometres = 1000 metres
1 metre = 1000 millimetres
1 metre = 10 decimetres
1 decimetre = 10 centimetres
1 centimetre = 10 millimetres
1 light year = 9 465 000 000 000 000 metres

Surveyor’s measure

1 mile = 8 furlongs = 80 chains
1 furlong = 10 chains = 220 yards
1 chain = 4 rods = 22 yards = 100 links
1 link = 7.92 inches

Nautical measure

1 league = 3 nautical miles
1 nautical mile = 1.1508 statute miles
1 degree (@ equator) = 60 nautical miles
120 fathoms = 1 cable
1 fathom = 2 yards = 6 feet

Conversion factors

1 mile = 1.6093 kilometres : 1 kilometre = 0.62139 miles
1 yard = 0.9144 metres : 1 metre = 1.0936 yards
1 foot = 0.3048 metres : 1 metre = 3.2808 feet
1 inch = 25.4 millimetres : 1 millimetre = 0.03937 inches

Area

1 square mile = 640 acres
1 acre = 10 square chains
1 square chain = 16 square rods
1 square rod = 30.25 square yards
1 square yard = 9 square feet
1 square foot = 144 square inches
1 circular inch = 0.7854 square inches

1 square kilometre=100 hectares
1 hectare = 100 ares
1 are = 100 square metres
1 square metre = 100 square decimetres
1 square decimetre = 100 square centimetres
1 square centimetre = 100 square millimetres

Conversion factors

1 square mile = 2.5899 square kilometres : 1 square kilometre = 0.3861 square miles
1 acre = 0.4047 hectares : 1 hectare = 2.471 acres
1 square yard = 0.836 square metres : 1 square metre = 1.196 square yards
1 square foot = 0.0929 square metres : 1 square metre = 10.764 square feet
1 square inch = 645.2 square millimetres : 1 square millimetre = 0.00155 square inches

Volume

Standard measure

1 cubic yard = 27 cubic feet
1 cubic foot = 1728 cubic inches
1 cord (wood) = 4 x 4 x 8 foot
1 perch (masonry) = 16.5 x 1.5 x 1 foot

Shipping measure

1 register ton = 100 cubic feet
40 cubic feet = 32.143 US bushels
40 cubic feet = 31.16 imperial bushels

Dry measure

1 US bushel = 1 winchester struck bushel
1 US bushel = 1.2445 cubic feet
1 US bushel = 4 pecks = 32 quarts
1 peck = 8 quarts = 16 pints
1 heaped bushel = 1.25 struck bushels
1 UK bushel = 8 imperial gallons

Liquid measure

1 US gallon = 4 quarts = 8 pints
1 quart = 2 pints = 8 gills
1 UK gallon = 1.2009 US gallons

Old liquid measure

1 tun = 2 pipes = 3 puncheons
1 pipe = 1 butt = 2 hogsheads = 4 barrels
1 puncheon = 2 tierces = 84 gallons
1 tierce = 42 gallons
1 barrel = 31.5 gallons

Apothecaries fluid measure

1 US fluid ounce = 8 drachms
1 fluid drachm = 60 mimims
1 US fluid ounce = 1.805 cubic inches
1 UK fluid ounce = 1.732 cubic inches

Cubic measure
1 cubic metre = 1000 cubic decimetres
1 cubic metre = 1000000 cubic millimetres
1 cubic decimetre = 1000 cubic centimetres
1 cubic centimetre = 1000 cubic millimetres

Dry and liquid measure

1 hectolitre = 100 litres
1 litre = 10 decilitres
1 decilitre = 10 centiletres
1 centilitres = 10 millilitres
1 litre = 1 cubic decimetre
1000 litres = 1 cubic metre

Conversion factors

1 cubic yard = 0.7646 cubic metres : 1 cubic metre = 1.308 cubic yards
1 cubic foot = 0.02832 cubic metres : 1 cubic metre = 35.315 cubic feet
1 cubic inch = 16387.064 cubic millimetres : 1 cubic millimetre = 0.00006102 cubic inches
1 cubic foot = 28.137 litres : 1 litre = 0.0353 cubic feet
1 US gallon = 3.785 litres : 1 litre = 0.2642 US gallons
1 UK gallon = 4.5454 litres : 1 litre = 0.22 UK gallons

Velocity / Acceleration

1 mile/hour = 1.4666 feet/sec
1 foot/minute = 0.2 inches/second
1 knot = 1 nautical mile/hour
1 cycle/second = 1 hertz
1 metre/sec = 3.6 kilometres/hour
1 revolution/minute = 0.104 radians/second

(Acceleration) gravity = 9.81 metres/second²

Conversion factors

1 mile/hour = 1.609 kilometres/hour : 1 kilometres/hour = 0.62139 miles/hour
1 foot/second = 0.3048 metres/second : 1 metre/second = 3.2808 feet/second
1 knot = 1.852 kilometres/hour : 1 kilometre/hour = 0.5399 knots

Weight / Mass

Avoirdupois measure

1 gross ton = 1 long ton = 2240 pounds
1 net ton = 1 short ton = 2000 pounds
1 pound = 16 ounces = 7000 grains
1 ounce = 16 drachms = 437.5 grains

1 long ton = 20 hundredweight
1 hundredweight = 4 quarters = 112 pounds
1 quarter = 2 stone = 28 pounds
1 quintal = 100 pounds

Troy weight (measure of gold and silver)

1 pound = 12 ounces = 5760 grains
1 ounce = 20 pennyweights = 480 grains
1 pennyweight = 24 grains
1 carat (diamond) = 3.086 grains

Apothecaries weight

1 pound = 12 ounces = 5760 grains
1 ounce = 8 drachms = 480 grains
1 drachm = 3 scruples = 60 grains
1 scruple = 20 grains

Standard measure
1 tonne = 1 metric ton
1 tonne = 1000 kilograms
1 kilograms = 1000 grams

1 centigram = 10 milligrams
1 decigram = 10 centigrams
10 decigrams = 1 gram
10 grams = 1 dekagram
10 dekagrams = 1 hectogram
10 hectograms = 1 kilogram

Conversion factors

1 long ton = 1.016 tonnes : 1 tonne = 0.9842 tons (long)
1 short ton = 0.9071 tonnes : 1 tonne = 1.1024 tons (short)
1 pound = 0.4536 kilograms : 1 kilogram = 2.2046 pounds (avoirdupois)
1 grain = 0.0648 grams : 1 gram = 15.432 grains

1 grain (avoidupois) = 1 grain (troy) = 1 grain (apothecaries)

Pressure / Force

1 atmosphere = 14696 psi (pound/inch²)
1 psi = 144 pounds/square foot
1 psi = 2.042 inches Hg (mecury) @ 62° F
1 psi = 27.7 inches H2O (water) @ 62° F
megapascal = 1000 kilopascals
1 kilopascal = 1000 pascals
1 bar = 1 megapascal
1 Newton = 1 kilogram x 9.81

Conversion factors
1 atmosphere = 101.325 kilopacsals : 1 kilopascal = 0.00986 atmospheres
1 psi = 6.894 kilopascals : 1 kilopascal = 0.1382 psi

1 kilogram/square millimetre = 1422.32 psi : 1 psi = 0.7031 grams/square millimetre
1 kilogram-metre = 7.233 foot-pounds : 1 foot-pound = 0.1382 kilogram-metres

1 UK tonf = 9.964 kilonewtons : 1 kilonewton = 0.1004 UK ton (force)
1 US tonf = 8.896 kilonewtons : 1 kilonewton = 0.1124 US ton (force)
1 pound(force) = 4.4482 Newtons : 1 Newton = 0.2248 pounds(force)

Time

1 solar year = average interval between 2 successive returns of the sun to the first point of Aries.
1 sireal year = average period of revolution of the Earth with respect to the fixed stars.
1 anomalistic year = average interval between successive perihelions
1 solar year (1 astronomical year) = 365.242 mean solar days
1 sireal year = 365.256 mean solar days
1 anomalistic year = 365.259 mean solar days
1 calendar year = 365.25 mean solar days
1 solar day = interval between 2 successive returns of the sun to the meridian
1 mean solar day = average length of solar day over 1 year
1 second = time equal to the duration of 9,192,631,770 periods of radiation corresponding to the transition of the ground state of the Caesium-133 atom.

1 lustrum = 5 years

Old English standard

1 moment = 1.5 minutes

Work / Energy / Power

1 horsepower/hour = 2545 British thermal units
1 British thermal unit = 778 foot-pounds
1 kilowatt/hours = 3600 kilojoules
1 kilowatt = 1 kilojoule/sec

Conversion factors

1 horsepower/hour = 0.746 kilowatt/hours : 1 kilowatt/hour = 1.34 horsepower/hours
1 horsepower = 746 watts : 1 watt = 0.00134 horsepower
1 British thermal unit = 0.252 calories (kilogram calorie)

Temperature

Boiling point of water = 212° Fahrenheit
Freezing point of water = 32° Fahrenheit
Boiling point of water = 100° Celsius
Freezing point of water = 0° Celsius
1 Celsius degree = 1 Kelvin degree
0 Kelvin = absolute zero

Conversion factors

Fahrenheit to Celsius = (5/9)x(tF-32)
Fahrenheit to Kelvin = (5/9)x(tF + 459.67)
Celsius to Fahrenheit = (9/5 x tC)+32
Celsius to Kelvin = tC + 273.15

India On Rent !

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