GED Math Test #9 3

Question 1

A map has a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?

Accepted Answer

175 miles

Answer

Distance = 3.5 × 50 = 175 miles. Use the scale as a conversion factor: 3.5 in × (50 miles/1 in) = 175 miles.

Question 2

What is 2⁻³ equal to?

Accepted Answer

1/8

Answer

A negative exponent means take the reciprocal: 2⁻³ = 1/2³ = 1/8. Negative exponents indicate the base is in the denominator.

Question 3

If the length of a square is doubled, how does its area change?

Accepted Answer

The area becomes 4 times larger

Answer

If original side = s, area = s². If side = 2s, new area = (2s)² = 4s². The area increases by a factor of 4 (not 2) when each side doubles.

Question 4

The mode of a data set is the value that:

Accepted Answer

Appears most frequently

Answer

The mode is the most frequently occurring value in a data set. A data set can have one mode, multiple modes, or no mode at all.

Question 5

A plumber charges $75 for the first hour and $50 for each additional hour. If a job takes 4 hours, what is the total charge?

Accepted Answer

$225

Answer

First hour: $75. Remaining 3 hours: 3 × $50 = $150. Total = $75 + $150 = $225.

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