SAT Math · Problem-Solving & Data Analysis

Ratios, Rates & Units on the Digital SATWhat it tests, how to approach it, and where students get trapped

Setting up proportions, converting units, and reasoning with rates — the most common word-problem machinery on the SAT Math section.

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Ratios, Rates & Units in Our Question Bank

48

Total questions

30

Easy

12

Medium

6

Hard

These counts cover the full Grind1600 bank. On the Free plan you get the first 5 easy, 5 medium, and 5 hard questions in Problem-Solving & Data Analysis.

What the SAT Actually Tests

The workhorse of SAT word problems: recipe ratios, speed and distance, unit prices, currency and unit conversions, and scale drawings. The math is rarely hard — the skill is setting up the proportion correctly and keeping units straight through multi-step conversions.

Write every rate as a labeled fraction (miles/hour, dollars/ounce) and let the units guide the setup: arrange fractions so unwanted units cancel. For ratio-splitting problems (a 3:5 ratio of a 96-item total), add the parts (8), find one part's size (12), then scale. Slowing down for ten seconds to label units prevents nearly every error in this category.

Original Ratios, Rates & Units Practice Questions

These fixed public samples come from Grind1600's original question bank. Choose an answer and check your reasoning before reading the explanation.

Question 1easy
A cargo ship traveled from Port Moresby, Papua New Guinea, to Yokohama, Japan, covering a total distance of 4,800 nautical miles. It took the ship 160 days to complete this route. On average, how many nautical miles did the ship travel per day?
Question 2medium
A barrel can hold a maximum volume of 591 cubic centimeters, which is approximately 20 fluid ounces. Marcus has a container that holds 1.5 gallons of olive oil. How many times could Marcus completely fill the barrel with 1.5 gallons of olive oil? (1 gallon = 128 fluid ounces)

Traps to Avoid

  • Inverting a rate — dividing distance by time when the question wants time per distance.
  • In part-to-part ratios, treating 3:5 as if 3/5 of the total were one part (it's 3/8).
  • Converting only one unit in a two-unit rate, like km/h to m/h but never touching hours to seconds.

Want more official questions for this skill?

The College Board Student Question Bank can filter official SAT questions by section, domain, skill, and difficulty. Read our question-bank workflow guide before choosing a set.

More Problem-Solving & Data Analysis Skills

Percentages

Percent change, percent of a quantity, reverse-percentage problems, and multi-step percent scenarios like tax-plus-discount.

Data Distributions & Measures of Center

Mean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.

Scatterplots & Two-Variable Data

Reading scatterplots, lines of best fit, interpreting slope in context, and distinguishing linear from exponential association.

Probability

One-event and conditional probability, usually read out of two-way frequency tables — the key is identifying the correct restricted group.

Inference & Margin of Error

What sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.

Evaluating Statistical Claims

Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.

Continue With Problem-Solving & Data Analysis Practice

Practice is sorted by domain and difficulty. On the Free plan you get the first 5 questions of each difficulty in Problem-Solving & Data Analysis. Pro opens every question in the bank.

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Last reviewed August 29, 2026 · Grind1600 Editorial Team