# HiSET: Math : Units

## Example Questions

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### Example Question #1 : Units

Rewrite the sum of 16 gallons and  pints as a number of quarts.

None of the other choices gives the correct response.

quarts

quarts

quarts

quarts

quarts

Explanation:

One gallon is equivalent to 4 quarts, so 16 gallons can be converted to quarts by multiplying by conversion factor 4:

One quart is equivalent to 2 pints, so  pints can be converted to quarts by dividing by conversion factor 2:

,

the correct response.

### Example Question #2 : Using Reasoning To Solve Problems

Rewrite the sum of gallons and 10 pints as a number of quarts.

quarts

quarts

quarts

quarts

quarts

quarts

Explanation:

One gallon is equivalent to 4 quarts, so gallons can be converted to quarts by multiplying by conversion factor 4:

One quart is equivalent to 2 pints, so 10 pints can be converted to quarts by dividing by conversion factor 2:

,

the correct response.

### Example Question #1 : Units

Rewrite the sum of meters and 50 millimeters as a number of centimeters.

centimeters

centimeters

centimeters

centimeters

centimeters

centimeters

Explanation:

One meter is equivalent to 100 centimeters, so  meters can be converted to centimeters by multiplying by conversion factor 100:

One centimeter is equivalent to 10 millimeters, so 50 millimeters can be converted to centimeters by dividing by conversion factor 10:

,

the correct response.

### Example Question #1 : Units

Rewrite the sum of 2 meters and millimeters as a number of centimeters.

centimeters

centimeters

centimeters

centimeters

centimeters

centimeters

Explanation:

One meter is equivalent to 100 centimeters, so 2 meters can be converted to centimeters by multiplying by conversion factor 100:

One centimeter is equivalent to 10 millimeters, so millimeters can be converted to centimeters by dividing by conversion factor 10:

,

### Example Question #1 : Units

Rewrite the sum of  feet and 18 inches as a number of yards.

yards

yards

yards

yards

yards

Explanation:

One yard is equivalent to 3 feet, so  feet can be converted to yards by dividing by the conversion factor 3:

Also, one yard is equal to 36 inches, so 18 inches can be converted to yards by dividing by the conversion factor 36;

Rewriting with the least common denominator, which is 6:

,

the correct choice.

### Example Question #51 : Numbers And Operations On Numbers

Rewrite the sum of 2 feet and inches as a number of yards.

yards

yards

yards

yards

yards

yards

Explanation:

One yard is equivalent to 3 feet, so 2 feet can be converted to yards by dividing by the conversion factor 3:

Also, one yard is equal to 36 inches, so  inches can be converted to yards by dividing by the conversion factor 36;

Rewriting with the least common denominator, which is 36:

,

the correct choice.

### Example Question #1 : Units

Rewrite the sum of milligrams and centigrams in terms of grams.

grams

grams

grams

grams

grams

Explanation:

One gram is equivalent to 1,000 milligrams, so milligrams can be converted to grams by dividing by conversion factor 1,000:

One gram is also equivalent to 100 centigrams, so  centigrams can be converted to grams by dividing by conversion factor 100:

Rewrite in terms of lowest common denominator 1,000:

,

the correct response.

### Example Question #51 : Numbers And Operations On Numbers

A rectangular plot of land measures one-half of a mile by one-tenth of a mile.

Give its area in acres.

72 acres

32 acres

80 acres

40 acres

64 acres

32 acres

Explanation:

The measure of a rectangular plot of land is equal to the product of its dimensions, so the given plot has area

One square mile is equivalent to 640 acres, so multiply this by conversion factor 640:

,

the correct response.

### Example Question #1 : Units

A rectangular plot of land measures 72 acres in area. The north-to-south length of the plot is one fourth of a mile. Give the east-to-west length of the plot.

miles

mile

mile.

miles

mile

mile.

Explanation:

One square mile is equivalent to 640 acres. Therefore, the area of the plot, 72 acres, can be converted to square miles by dividing by conversion factor 640:

If we let and be the north-south and east-west lengths in miles of the rectangular land plot, respectively, then

Substitute  for :

Solve for by multiplying both sides by 4:

The east-west length of the plot is mile.

### Example Question #51 : Numbers And Operations On Numbers

One cup of water is poured out of a pitcher containing one gallon of water. How many cups are left in the pitcher?

23 cups

7 cups

15 cups

63 cups

31 cups

15 cups

Explanation:

One gallon is equivalent to 4 quarts.

One quart is equivalent to 2 pints.

One pint is equivalent to 2 cups.

Therefore, one gallon is equivalent to cups.

Pouring out one cup leaves 15 cups, the correct response.

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