Solving Percent Problems with Ratios: Sample FAST Questions
Students apply ratio relationships to solve mathematical and real-world percentage problems. They handle all three cases: finding what percent one number is of another, finding the part when given a percent and a whole, and finding the whole when given a percent and a part — for example, "30% of what number is 12?"
How the FAST tests this benchmark
FAST items include equation editor questions computing a percent, part, or whole, and multiple choice word problems involving discounts, tips, and similar real-world percent situations.
Skills students need
Find the percent given a part and a whole
Find the part given a percent and a whole
Find the whole given a percent and a part
Try 4 real MA.6.AR.3.4 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
15 students out of 50 in a school brought their lunch from home. What percent of students brought their lunch?
Correct answer: A. 30%
This explanation shows one way to solve the problem.
Set up the fraction: 5015
Divide: 15÷50=0.30
Convert to percent: 0.30×100=30%
Final Answer
30%
Question 2MediumMultiple Choice
35% of the runners in a race finished under 30 minutes. If 63 runners finished under 30 minutes, how many runners were in the race?
Correct answer: C. 180
This explanation shows one way to solve the problem.
Set up the equation: 0.35×n=63
Divide both sides by 0.35: n=63÷0.35. Multiply both numbers by 100 to clear the decimal: 6300÷35.
Compute the division: 6300÷35=180.
Final Answer
180
Question 3MediumMultiple Choice
A school has 200 students. If 35% of the students participate in after-school sports, how many students participate?
Correct answer: C. 70
This explanation shows one way to solve the problem.
Convert the percent to a decimal: 35%=0.35
Multiply: 0.35×200=70 students.
Final Answer
70
Question 4HardEquation Editor
15% of donations to a charity came from online sources. If $75 came from online, how many total dollars in donations did the charity receive?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 500
This explanation shows one way to solve the problem.
Set up the equation: 0.15×n=75
Divide both sides by 0.15: n=75÷0.15. Multiply both numbers by 100 to clear the decimal: 7500÷15.
Compute the division: 7500÷15=500.
Final Answer
500
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