Question 1Easier
A trail is 2.5 miles long. How long is the trail, in yards? (1 mile yards)
Show answer
Answer: C — 4,400
yards.
Study on the flySATMathRatios, rates, proportional relationships, and units
Math
Ratios, rates, proportional relationships, and units — SAT practice questions
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What this topic is
Ratios, rates, proportional relationships, and units questions measure everyday quantitative reasoning.
Unit conversions work best with a conversion factor written as a fraction, so unwanted units cancel. Direct proportion means one quantity is a constant multiple of another, while inverse proportion means their product stays constant, so doubling speed halves the travel time for a fixed distance.
When two objects move toward each other, their speeds add to give the rate at which the gap closes. Answer choices often include the result of dividing when multiplying was needed, so checking whether the answer should be larger or smaller than the starting value is a quick safeguard.
Sample questions
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Question 2Easier
The time , in hours, needed to travel a fixed distance is inversely proportional to the speed , in miles per hour. If when , what is the value of when ?
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Answer: C — 5
Since is inversely proportional to , . When , .
Question 3Easier
Two trains start 270 miles apart and travel toward each other. One train travels at 55 miles per hour, and the other travels at 35 miles per hour. How many hours will it take for the two trains to meet?
Show answer
Answer: B — 3
Combined closing speed miles per hour. Time to meet hours.
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More SAT topics
Math
- Linear equations in one variable
- Linear equations in two variables
- Linear functions
- Systems of two linear equations in two variables
- Linear inequalities in one or two variables
- Equivalent expressions
- Nonlinear equations and systems
- Nonlinear functions
- Percentages
- One-variable data: distributions and measures
- Two-variable data: models and scatterplots
- Probability and conditional probability
- Inference from sample statistics and margin of error
- Evaluating statistical claims
- Area and volume
- Lines, angles, and triangles
- Right triangles and trigonometry
- Circles
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