HiSET: Math : Units

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

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.

Possible Answers:

38.4 acres

19.2 acres

19.2 acres

52.8 acres

57.6 acres

Correct answer:

57.6 acres

Explanation:

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 #52 : Numbers And Operations On Numbers

In acres, give the area of a square plot of land three and one half miles in sidelength.

Possible Answers:

7,840 acres

3,920 acres

4,480 acres

2,240 acres

15,680 acres

Correct answer:

7,840 acres

Explanation:

A square plot of land has as its area the square of the length of a side, so the land in question has area

square miles.

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)

Possible Answers:

Correct answer:

Explanation:

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 be the centimeter equivalent of 30 inches, the proportion statement that relates centimeters and inches can be written

Multiply both sides by 30:

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