Problem Solving And Data Analysis · Percentages And Unit Conversions
SAT Percentages And Unit Conversions Practice Questions (Free + Explanations) | Quiz 4
A hiking trail is miles long. A map states that mile is about kilometers. About how many kilometers long is the trail?
To convert miles to kilometers, multiply the number of miles by the number of kilometers in mile: . So the trail is about kilometers long.
To convert from one unit to another, multiply by the conversion factor that matches the units. Here, miles are converted to kilometers by multiplying by .
A grocery store sells a bag of rice that weighs 2 kilograms. A customer uses 35% of the rice to make meals for a week. How many grams of rice did the customer use?
First convert 2 kilograms to grams: kilograms grams. Then find of : . So the customer used grams of rice.
To solve percentage problems with measurements, first convert to the requested unit, then multiply by the percent written as a decimal.
A science club has a container holding liters of a cleaning solution. The solution is soap. If the club wants to know how many milliliters of soap are in the container, which expression gives the correct amount?
Because , the amount of soap is liters. Since liter milliliters, convert liters to milliliters: . The expression that represents these steps is .
To find a percent of a quantity, convert the percent to a decimal and multiply. Then use the correct conversion factor to change units.
A map uses a scale of inch to miles. A road is shown as inches long on the map. Which of the following is an equivalent expression for the actual length of the road, in kilometers? (Use mile kilometers.)
The map scale says inch represents miles, so a length of inches represents miles. To convert miles to kilometers, multiply by . So the actual length in kilometers is . Therefore, the correct answer is A.
To convert a map length to an actual distance, multiply by the map scale, then multiply by the unit conversion factor.
A graph shows the relationship between distance and fuel used for a car traveling at a steady rate. The line passes through the points and , where the -coordinate is distance in miles and the -coordinate is fuel used in gallons. Based on the graph, what percent of a gallon of fuel does the car use per mile?
Use either point on the line to find the unit rate in gallons per mile. From , the car uses gallon per mile. To write this as a percent of a gallon per mile, multiply by : . Therefore, the correct answer is .
Find the unit rate from the coordinates, then convert the decimal or fraction to a percent by multiplying by .
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Estimated SAT Math band
500-550
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Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
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More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
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More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
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Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practice