HiSET: Math : Numbers and Operations on Numbers
Study concepts, example questions & explanations for HiSET: Math
All HiSET: Math Resources
Example Questions
Example Question #11 : Using Reasoning To Solve Problems
Rewrite the sum of 2 feet and 
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 
Add these quantities:
Rewriting with the least common denominator, which is 36:
the correct choice.
Example Question #52 : Hi Set: High School Equivalency Test: Math
Rewrite the sum of 
One gram is equivalent to 1,000 milligrams, so 
One gram is also equivalent to 100 centigrams, so 
Add:
Rewrite in terms of lowest common denominator 1,000:
the correct response.
Example Question #53 : Hi Set: High School Equivalency Test: Math
A rectangular plot of land measures one-half of a mile by one-tenth of a mile.
Give its area in acres.
64 acres
40 acres
32 acres
72 acres
80 acres
32 acres
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 #2 : 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.
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 
Substitute 
Solve for 
The east-west length of the plot is 
Example Question #11 : Using Reasoning To Solve Problems
One cup of water is poured out of a pitcher containing one gallon of water. How many cups are left in the pitcher?
7 cups
63 cups
23 cups
15 cups
31 cups
15 cups
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 
Pouring out one cup leaves 15 cups, the correct response.
Example Question #51 : Hi Set: High School Equivalency Test: Math
Give the area, in acres, of a square plot of land with sidelength 528 yards.
38.4 acres
19.2 acres
19.2 acres
52.8 acres
57.6 acres
57.6 acres
528 yards, the sidelength of the square plot, can be converted to square miles as follows:
1,760 yards are equivalent to one mile. Therefore, 528 can be divided by conversion factor 1,760:
The area of the plot is equal to the square of this, or
One square mile is equivalent to 640 acres, so multiply by conversion factor 640:
the correct response.
Example Question #12 : Using Reasoning To Solve Problems
In acres, give the area of a square plot of land three and one half miles in sidelength.
4,480 acres
3,920 acres
7,840 acres
15,680 acres
2,240 acres
7,840 acres
A square plot of land has as its area the square of the length of a side, so the land in question has area
One square mile is equal to 640 acres, so multiply this by the conversion factor 640:
Example Question #21 : Using Reasoning To Solve Problems
One meter is equal to about 39.37 inches. Convert 30 inches to centimeters. (Nearest tenth)
This problem can be solved using a proportion statement.
One meter is equal to 100 centimeters, which in turn is equal to 39.37 inches. Letting 
Multiply both sides by 30:
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