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GED Math : Units and Unit Conversions

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Example Questions

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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:

$146\ days$

$30\ days$

$913\ days$

$5\ days$

Correct answer:

$913\ days$

Explanation:

$\small 1\ year=365\ days$

Make sure that your units cross out properly.

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

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Example Question #2 : Units And Unit Conversions

How many cups are in 3 gallons?

$\small 1\ gallon=4\ quarts$

$\small 1\ quart=4\ cups$

Possible Answers:

$\small 24$

$\small 12$

$\small 6$

$\small 48$

Correct answer:

$\small 48$

Explanation:

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

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Example Question #3 : Units And Unit Conversions

Express 6 yards in inches.

Possible Answers:

$180 \textrm{ in}$

$108 \textrm{ in}$

$196 \textrm{ in}$

$216 \textrm{ in}$

$98 \textrm{ in}$

Correct answer:

$216 \textrm{ in}$

Explanation:

A yard comprises 36 inches, so multiply by 36:

$36 \times 6 = 216$

One yard is equal to 216 inches.

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Example Question #1 : Units And Unit Conversions

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

1 cup = 8 ounces

1 ounce - .125 cups

Possible Answers:

3.5 ounces

ounces

2.29 ounces

Correct answer:

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.

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

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

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

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Example Question #1 : Units And Unit Conversions

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

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

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

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

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:

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

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

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

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

Correct answer:

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

Explanation:

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

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

Substitute F = 58 to calculate the value of :

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

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

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Example Question #6 : Units And Unit Conversions

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

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

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

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

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

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

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

Substitute 150 for to calculate the value of :

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

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

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Example Question #1 : Units And Unit Conversions

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

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

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

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

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

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

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

Substitute 150 for to calculate the value of :

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

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

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Example Question #8 : Units And Unit Conversions

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

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

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

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

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:

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

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

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

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

Correct answer:

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

Explanation:

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

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

Substitute 22 for to calculate the value of :

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

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

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Example Question #9 : Units And Unit Conversions

Convert 47 inches to feet.

Possible Answers:

$119.4\ ft$

$564\ ft$

$3.9\ ft$

$18.5\ ft$

Correct answer:

$3.9\ ft$

Explanation:

$1\ ft=12\ in$

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

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

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Example Question #1 : Units And Unit Conversions

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

Possible Answers:

165 miles

240 miles

270 miles

90 miles

Correct answer:

270 miles

Explanation:

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

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

The measured distance is 6 inches.

$45 \times 6 = 270\ miles$

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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 #3 : Units And Unit Conversions

Example Question #1 : Units And Unit Conversions

Example Question #1 : Units And Unit Conversions

Example Question #6 : Units And Unit Conversions

Example Question #1 : Units And Unit Conversions

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Example Question #1 : Units And Unit Conversions

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