GED Math Test #9 3 ā Questions and Answers
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?
- 175 miles (Correct answer)
- 150 miles
- 200 miles
- 125 miles
Correct answer: 175 miles
Distance = 3.5 Ć 50 = 175 miles. Use the scale as a conversion factor: 3.5 in Ć (50 miles/1 in) = 175 miles.
Question 2: What is 2ā»Ā³ equal to?
- 1/8 (Correct answer)
- ā8
- ā6
- 1/6
Correct answer: 1/8
A negative exponent means take the reciprocal: 2ā»Ā³ = 1/2Ā³ = 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?
- The area becomes 4 times larger (Correct answer)
- The area doubles
- The area triples
- The area stays the same
Correct answer: The area becomes 4 times larger
If original side = s, area = sĀ². If side = 2s, new area = (2s)Ā² = 4sĀ². 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:
- Appears most frequently (Correct answer)
- Falls in the middle when sorted
- Is the average of all values
- Is the highest minus the lowest
Correct answer: Appears most frequently
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?
- $225 (Correct answer)
- $200
- $275
- $250
Correct answer: $225
First hour: $75. Remaining 3 hours: 3 Ć $50 = $150. Total = $75 + $150 = $225.
Question 6: Simplify: ā48
- 4ā3 (Correct answer)
- 6ā2
- 2ā12
- 3ā4
Correct answer: 4ā3
ā48 = ā(16 Ć 3) = ā16 Ć ā3 = 4ā3. Factor out the largest perfect square from under the radical.
GED Math Test #9 3
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?