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Ratios, rates, proportional relationships, and units — SAT practice questions

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• 44 questions on the paper
• 106 practice questions in the app
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Practice 106 Ratios, rates, proportional relationships, and units questions in the app

What this topic is

Ratios, rates, proportional relationships, and units on SAT Math asks students to convert units, set up direct or inverse proportions, and apply rates in distance-speed-time situations.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

A trail is 2.5 miles long. How long is the trail, in yards? (1 mile $=1{,}760$ yards)

A704✗ Not this oneB1,760✗ Not this oneC4,400✓ CorrectD17,600✗ Not this one

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Answer: C — 4,400

$2.5\times1{,}760=4{,}400$ yards.

Question 2Easier

The time $t$, in hours, needed to travel a fixed distance is inversely proportional to the speed $s$, in miles per hour. If $t=4$ when $s=30$, what is the value of $t$ when $s=24$?

A3.2✗ Not this oneB4.8✗ Not this oneC5✓ CorrectD6.25✗ Not this one

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Answer: C — 5

Since $t$ is inversely proportional to $s$, $ts=4\times30=120$. When $s=24$, $t=120/24=5$.

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?

A1.5✗ Not this oneB3✓ CorrectC4.9✗ Not this oneD7.7✗ Not this one

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Answer: B — 3

Combined closing speed $=55+35=90$ miles per hour. Time to meet $=270/90=3$ hours.

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