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GED Math : Units and Unit Conversions

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Example Questions

Example Question #1 : Units And Unit Conversions

Convert 2.5 years to days. Assume that the years in question are not leap years. Round to the nearest day.

Possible Answers:

$913\ days$ $\displaystyle 913\ days$

$30\ days$ $\displaystyle 30\ days$

$5\ days$ $\displaystyle 5\ days$

$146\ days$ $\displaystyle 146\ days$

Correct answer:

$913\ days$ $\displaystyle 913\ days$

Explanation:

$\small 1\ year=365\ days$ $\displaystyle \small 1\ year=365\ days$

Make sure that your units cross out properly.

$\small \frac{2.5\ years}{1}\times \frac{365\ days}{1\ year}=912.5\ days= 913\ days$ $\displaystyle \small \frac{2.5\ years}{1}\times \frac{365\ days}{1\ year}=912.5\ days= 913\ days$

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Example Question #2 : Units And Unit Conversions

How many cups are in 3 gallons?

$\small 1\ gallon=4\ quarts$ $\displaystyle \small 1\ gallon=4\ quarts$

$\small 1\ quart=4\ cups$ $\displaystyle \small 1\ quart=4\ cups$

Possible Answers:

$\small 6$ $\displaystyle \small 6$

$\small 48$ $\displaystyle \small 48$

$\small 12$ $\displaystyle \small 12$

$\small 24$ $\displaystyle \small 24$

Correct answer:

$\small 48$ $\displaystyle \small 48$

Explanation:

$\small \frac{3\ gallons}{1}\times \frac{4\ quarts}{1\ gallon}\times \frac{4\ cups}{1\ quart}=48\ cups$ $\displaystyle \small \frac{3\ gallons}{1}\times \frac{4\ quarts}{1\ gallon}\times \frac{4\ cups}{1\ quart}=48\ cups$

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Example Question #2 : Units And Unit Conversions

Express 6 yards in inches.

Possible Answers:

$216 \textrm{ in}$ $\displaystyle 216 \textrm{ in}$

$108 \textrm{ in}$ $\displaystyle 108 \textrm{ in}$

$180 \textrm{ in}$ $\displaystyle 180 \textrm{ in}$

$196 \textrm{ in}$ $\displaystyle 196 \textrm{ in}$

$98 \textrm{ in}$ $\displaystyle 98 \textrm{ in}$

Correct answer:

$216 \textrm{ in}$ $\displaystyle 216 \textrm{ in}$

Explanation:

A yard comprises 36 inches, so multiply by 36:

$36 \times 6 = 216$ $\displaystyle 36 \times 6 = 216$

One yard is equal to 216 inches.

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Example Question #4 : Units And Unit Conversions

How many ounces are in 3.5 $\displaystyle 3.5$ cups? If necessary, round to the nearest tenth.

1 cup = 8 ounces

1 ounce - .125 cups

Possible Answers:

2.29 $\displaystyle 2.29$ ounces

$\displaystyle 28$ ounces

3.5 $\displaystyle 3.5$ ounces

$\displaystyle .44$ ounces

$\displaystyle 64$ ounces

Correct answer:

$\displaystyle 28$ ounces

Explanation:

Convert cups to ounces by creating a ratio (see below). In the second fraction, the cups unit is on the denominator so "cups" cancels out.

$\frac{3.5\textup{ cups}}{1}=\frac{8\textup{ ounces}}{1\textup{ cup}}=28\textup{ ounces}$ $\displaystyle \frac{3.5\textup{ cups}}{1}=\frac{8\textup{ ounces}}{1\textup{ cup}}=28\textup{ ounces}$

$\frac{3.5\textup{ cups}}{1}= \textup{this is what we are being asked to convert}$ $\displaystyle \frac{3.5\textup{ cups}}{1}= \textup{this is what we are being asked to convert}$

$\frac{8\textup{ ounces}}{1\textup{ cup}}=\textup{8 ounces = 1 cup}$ $\displaystyle \frac{8\textup{ ounces}}{1\textup{ cup}}=\textup{8 ounces = 1 cup}$

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Example Question #3 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

$C = \frac{5}{9} (F-32)$ $\displaystyle C = \frac{5}{9} (F-32)$.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

$F = \frac{9}{5} C + 32$ $\displaystyle F = \frac{9}{5} C + 32$.

Anja, a German woman visiting St. Louis, is confused by a weather report that says that the temperature today is to reach a peak of 58 degrees. This being an American weather report, that temperature is expressed in degrees Fahrenheit, but being German, Anja is used to the Celsius temperature scale. To the nearest degree, convert the predicted peak temperature to Celsius.

Possible Answers:

$0^{\circ }\textrm{C}$ $\displaystyle 0^{\circ }\textrm{C}$

$14^{\circ }\textrm{C}$ $\displaystyle 14^{\circ }\textrm{C}$

$136^{\circ }\textrm{C}$ $\displaystyle 136^{\circ }\textrm{C}$

$162^{\circ }\textrm{C}$ $\displaystyle 162^{\circ }\textrm{C}$

Correct answer:

$14^{\circ }\textrm{C}$ $\displaystyle 14^{\circ }\textrm{C}$

Explanation:

We are converting Fahrenheit to Celsius, so we use the formula

$C = \frac{5}{9} (F-32)$ $\displaystyle C = \frac{5}{9} (F-32)$.

Substitute F = 58 $\displaystyle F = 58$ to calculate the value of $\displaystyle C$:

$C = \frac{5}{9} (58-32) = \frac{5}{9} \cdot 26 = 14.444...$ $\displaystyle C = \frac{5}{9} (58-32) = \frac{5}{9} \cdot 26 = 14.444...$

The temperature, expressed in degrees Celsius, is $14^{\circ }\textrm{C}$ $\displaystyle 14^{\circ }\textrm{C}$.

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Example Question #132 : Ged Math

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

$C = \frac{5}{9} (F-32)$ $\displaystyle C = \frac{5}{9} (F-32)$.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

$F = \frac{9}{5} C + 32$ $\displaystyle F = \frac{9}{5} C + 32$.

Which of the following Fahrenheit temperatures comes closest to $150^{\circ } \textrm{C}$ $\displaystyle 150^{\circ } \textrm{C}$ ?

Possible Answers:

$66^{\circ }\textrm{F}$ $\displaystyle 66^{\circ }\textrm{F}$

$328^{\circ }\textrm{F}$ $\displaystyle 328^{\circ }\textrm{F}$

$302^{\circ }\textrm{F}$ $\displaystyle 302^{\circ }\textrm{F}$

$51^{\circ }\textrm{F}$ $\displaystyle 51^{\circ }\textrm{F}$

Correct answer:

$302^{\circ }\textrm{F}$ $\displaystyle 302^{\circ }\textrm{F}$

Explanation:

We are converting Celsius to Fahrenheit , so we use the formula

$F = \frac{9}{5} C + 32$ $\displaystyle F = \frac{9}{5} C + 32$.

Substitute 150 for $\displaystyle C$ to calculate the value of $\displaystyle F$:

$F = \frac{9}{5} \cdot 150 + 32 = 270 + 32 = 302$ $\displaystyle F = \frac{9}{5} \cdot 150 + 32 = 270 + 32 = 302$

The equivalent Fahrenheit temperature is $302^{\circ }\textrm{F}$ $\displaystyle 302^{\circ }\textrm{F}$.

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Example Question #2 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

$C = \frac{5}{9} (F-32)$ $\displaystyle C = \frac{5}{9} (F-32)$.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

$F = \frac{9}{5} C + 32$ $\displaystyle F = \frac{9}{5} C + 32$.

Which of the following Celsius temperatures comes closest to $150^{\circ } \textrm{F}$ $\displaystyle 150^{\circ } \textrm{F}$?

Possible Answers:

$302^{\circ }\textrm{C}$ $\displaystyle 302^{\circ }\textrm{C}$

$66^{\circ }\textrm{C}$ $\displaystyle 66^{\circ }\textrm{C}$

$328^{\circ }\textrm{C}$ $\displaystyle 328^{\circ }\textrm{C}$

$51^{\circ }\textrm{C}$ $\displaystyle 51^{\circ }\textrm{C}$

Correct answer:

$66^{\circ }\textrm{C}$ $\displaystyle 66^{\circ }\textrm{C}$

Explanation:

We are converting Fahrenheit to Celsius, so we use the formula

$C = \frac{5}{9} (F-32)$ $\displaystyle C = \frac{5}{9} (F-32)$.

Substitute 150 for $\displaystyle F$ to calculate the value of $\displaystyle C$:

$C = \frac{5}{9} (150-32) = \frac{5}{9} \cdot 118 \approx 66$ $\displaystyle C = \frac{5}{9} (150-32) = \frac{5}{9} \cdot 118 \approx 66$

The temperature, expressed in degrees Celsius, is $66^{\circ }\textrm{C}$ $\displaystyle 66^{\circ }\textrm{C}$.

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Example Question #1 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

$C = \frac{5}{9} (F-32)$ $\displaystyle C = \frac{5}{9} (F-32)$.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

$F = \frac{9}{5} C + 32$ $\displaystyle F = \frac{9}{5} C + 32$.

Wesley, an American visiting London, is confused by a weather report that says that the temperature today is to reach a peak of 22 degrees. This being a British weather report, that temperature is expressed in degrees Celsius, but being American, Wesley is used to the Fahrenheit temperature scale. To the nearest degree, convert the predicted peak temperature to Fahrenheit.

Possible Answers:

$72 ^{ \circ }\textrm{ F}$ $\displaystyle 72 ^{ \circ }\textrm{ F}$

$62 ^{ \circ }\textrm{ F}$ $\displaystyle 62 ^{ \circ }\textrm{ F}$

$97 ^{ \circ }\textrm{ F}$ $\displaystyle 97 ^{ \circ }\textrm{ F}$

$87 ^{ \circ }\textrm{ F}$ $\displaystyle 87 ^{ \circ }\textrm{ F}$

Correct answer:

$72 ^{ \circ }\textrm{ F}$ $\displaystyle 72 ^{ \circ }\textrm{ F}$

Explanation:

We are converting Celsius to Fahrenheit , so we use the formula

$F = \frac{9}{5} C + 32$ $\displaystyle F = \frac{9}{5} C + 32$.

Substitute 22 for $\displaystyle C$ to calculate the value of $\displaystyle F$:

$F = \frac{9}{5} \cdot 22 + 32 = 39.6 + 32 = 71.6$ $\displaystyle F = \frac{9}{5} \cdot 22 + 32 = 39.6 + 32 = 71.6$,

which rounds to $72 ^{ \circ }\textrm{ F}$ $\displaystyle 72 ^{ \circ }\textrm{ F}$.

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Example Question #3 : Units And Unit Conversions

Convert 47 inches to feet.

Possible Answers:

$564\ ft$ $\displaystyle 564\ ft$

$18.5\ ft$ $\displaystyle 18.5\ ft$

$119.4\ ft$ $\displaystyle 119.4\ ft$

$3.9\ ft$ $\displaystyle 3.9\ ft$

Correct answer:

$3.9\ ft$ $\displaystyle 3.9\ ft$

Explanation:

$1\ ft=12\ in$ $\displaystyle 1\ ft=12\ in$

Multiply 47 inches by the conversion ratio to get the equivalent measure in feet:

$\frac{47\ in}{1}\times \frac{1\ ft}{12\ in}=3.9\ ft$ $\displaystyle \frac{47\ in}{1}\times \frac{1\ ft}{12\ in}=3.9\ ft$

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Example Question #4 : Units And Unit Conversions

A scale on a map states that every $\displaystyle 1/3 inch$ represents $\displaystyle 15 miles$. If cities are $\displaystyle 6 inches$ apart on the scaled map, how many miles are between the two cities?

Possible Answers:

$\displaystyle 90 miles$

$\displaystyle 165 miles$

$\displaystyle 270 miles$

$\displaystyle 240 miles$

Correct answer:

$\displaystyle 270 miles$

Explanation:

If each 1/3 of an inch on the scaled map = 15 miles; then 1 inch would represent

$3 \times 15$ $\displaystyle 3 \times 15$ or $45\ miles$ $\displaystyle 45\ miles$ per inch.

The measured distance is 6 inches.

$45 \times 6 = 270\ miles$ $\displaystyle 45 \times 6 = 270\ miles$

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GED Math : Units and Unit Conversions

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Units And Unit Conversions

Example Question #2 : Units And Unit Conversions

Example Question #2 : Units And Unit Conversions

Example Question #4 : Units And Unit Conversions

Example Question #3 : Units And Unit Conversions

Example Question #132 : Ged Math

Example Question #2 : Units And Unit Conversions

Example Question #1 : Units And Unit Conversions

Example Question #3 : Units And Unit Conversions

Example Question #4 : Units And Unit Conversions

All GED Math Resources

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