Study on the flySHSATMathematicsRatios, unit rates, and proportional relationships
Practice 406 Ratios, unit rates, and proportional relationships questions in the app
On the SHSAT Mathematics section, Ratios, unit rates, and proportional relationships covers comparing two parts of a whole, finding how much work two machines do in the same span of time, and converting leftover length among kilometers, meters, and centimeters.
A student must form equivalent ratios, use a given difference to find each part and the total, convert units before subtracting, and combine unit rates over a common interval. Questions are short word problems whose five answer choices are usually single totals; traps include mixed units, scaling only one side of a ratio, and adding rates that are not yet aligned.
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 1Easier
Machine A packs 3 crates every 4 minutes. Machine B packs 5 crates every 6 minutes. If both machines work for 24 minutes, how many crates do they pack in all?
Answer: C — 38
Machine A works for groups of 4 minutes, so it packs crates. Machine B works for groups of 6 minutes, so it packs crates. Together they pack 38 crates.
Question 2Mid
The ratio of fiction books to nonfiction books donated to a library is . If 18 more fiction books than nonfiction books are donated, how many books are donated in all?
Answer: B — 72
The difference of 2 ratio parts equals 18 books, so each part equals 9 books. The total is parts, and books.
Question 3Mid
A cable is 2.75 kilometers long. A section measuring 850 meters is removed. Each kilometer contains 1,000 meters, and each meter contains 100 centimeters. How many centimeters of cable remain?
Answer: C — 190,000 centimeters
The cable begins at meters, so meters remain, or 190,000 centimeters.
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Practice 406 Ratios, unit rates, and proportional relationships questions in the app
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