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These are the solutions to the NSSCO past questions on Measurements and Units.
The TI-84 Plus CE shall be used for applicable questions.
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Please use the conversion equation specified in the questions as applicable.
However, if the conversion equation was not given to you, then it is necessary to use these tables.
It is also important to memorize the prefixes and the multiplication factors for the International System of
Units.
The three tables are:
| Prefix | Symbol | Multiplication Factor |
|---|---|---|
| yocto | y | $10^{-24}$ |
| zepto | z | $10^{-21}$ |
| atto | a | $10^{-18}$ |
| femto | f | $10^{-15}$ |
| pico | p | $10^{-12}$ |
| nano | n | $10^{-9}$ |
| micro | $\mu$ | $10^{-6}$ |
| milli | m | $10^{-3}$ |
| centi | c | $10^{-2}$ |
| deci | d | $10^{-1}$ |
| deka | da | $10^1$ |
| hecto | h | $10^2$ |
| kilo | K | $10^3$ |
| mega | M | $10^6$ |
| giga | G | $10^9$ |
| tera | T | $10^{12}$ |
| peta | P | $10^{15}$ |
| exa | E | $10^{18}$ |
| zetta | Z | $10^{21}$ |
| yotta | Y | $10^{24}$ |
| Measurement | Customary | Customary | Unit Conversion Factor |
|---|---|---|---|
| Length | inch (in) | foot (ft) | $12\:inches = 1\:ft$ |
| Length | foot (ft) | yard (yd) | $3\:ft = 1\:yd$ |
| Length | yard (yd) | mile (mi) | $1760\:yd = 1\:mi$ |
| Length | foot (ft) | mile (mi) | $5280\:ft = 1\:mi$ |
| Length | rod/pole | yards (yd) | $1\:rod = 5.5\:yd$ |
| Length | furlong | rod | $1\:furlong = 40\;rod$ |
| Length | fathom | feet (ft) | $1\:fathom = 6\;ft$ |
| Length | league/marine | nautical miles | $1\:league = 3\;nautical\;\;miles$ |
| Mass | pound (lb) | ounce (oz) | $1\:lb = 16\:oz$ |
| Mass | short ton (ton) | pound (lb) | $1\:short\:ton = 2000\:lb$ |
| Mass | long ton | pound (lb) | $1\:long\:ton = 2240\:lb$ |
| Mass | stone | pound (lb) | $1\:\:stone = 14\:lb$ |
| Mass | long ton | stone | $1\:long\:ton = 160\:stones$ |
| Area | acre (acre) | square feet ($ft^2$) | $1\:acre = 43560\:ft^2$ |
| Volume | quart (qt) | pint (pt) | $1\:qt = 2\:pt$ |
| Volume | pint (pt) | cup (cup) | $1\:pt = 2\:cups$ |
| Volume | quart (qt) | cup (cup) | $1\:qt = 4\:cups$ |
| Volume | quart (qt) | fluid ounce (fl. oz) | $1\:qt = 32\:fl.\:oz$ |
| Volume | pint (pt) | fluid ounce (fl. oz) | $1\:pt = 16\:fl.\:oz$ |
| Volume | cup (cup) | fluid ounce (fl. oz) | $1\:cup = 8\:fl.\:oz$ |
| Volume | gallon (gal) | quart (qt) | $1\:gal = 4\:qt$ |
| Volume | gallon (gal) | quart (pt) | $1\:gal = 8\:pt$ |
| Volume | gallon (gal) | cup (cup) | $1\:gal = 16\:cups$ |
| Volume | gallon (gal) | fluid ounce (fl. oz) | $1\:gal = 128\:fl.\:oz$ |
| Volume | gallon (gal) | cubic inches ($in^3$) | $1\:gal = 231\:in^3$ |
| Measurement | Metric | Customary | Unit Conversion Factor |
|---|---|---|---|
| Length | meter (m) | foot (ft) | $1\:ft = 0.3048\:m$ |
| Length | kilometer (km) | nautical miles | $1\:nautical\;\;miles = 1.852\;km$ |
| Mass | gram (g) | pound (lb) | $1\:lb = 453.59237\:g$ |
| Mass | metric ton (tonne) | kilogram (kg) | $1\:tonne = 1000\:kg$ |
| Volume |
liter or cubic decimeters (L or $dm^3$) |
gallons (gal) | $1\:L = 0.26417205\:gal$ |