Math · Problem-Solving and Data Analysis

Ratios, Rates, and Proportions

Work with ratios, unit conversions, and proportional relationships.

What the SAT Tests

Ratios, rates, and proportions appear in word problems throughout both modules. The skill is about setting up a clean proportion and carefully tracking units.

Key Tips for Ratios, Rates, and Proportions

Write units beside every number — cancel units like variables.
Cross-multiply only after you've verified the two ratios compare the same quantities.
For percent change, use (new − old) / old × 100.

How to recognize Ratios, Rates, and Proportions questions

Look for Problem-Solving and Data Analysis signals: equations, graphs, tables, variables, units, or words that describe a relationship.
Before solving, decide whether the answer should be a value, expression, coordinate, graph feature, or interpretation.
The official College Board skill label is Ratios, rates, proportional relationships, and units; match your practice misses to that label when reviewing.

Fast solving workflow

Translate the givens into an equation, graph, table, or labeled diagram before using answer choices.
Choose the fastest method: mental math for one-step work, paper algebra for clean symbolic steps, Desmos for intersections/tables/roots, and substitution for ordered answer choices.
Check the final answer against the question stem, especially units, signs, and whether it asks for x, y, a sum, a coefficient, or an interpretation.

Common traps

Using the wrong denominator in a percent, rate, or probability question.
Confusing correlation with causation in data claims.
Extrapolating outside the data range when the question does not justify it.

Sample Ratios, Rates, and Proportions Questions

These are real practice questions pulled from our Digital SAT bank. Try each one before reading the highlighted correct answer.

Question 1 · Easy
The ratio $12$ to $2$ is equivalent to the ratio $60$ to $2 k$ , where $k$ is a constant. What is the value of $k$ ?
- A. $0.4$
- B. $5$ Correct
- C. $10$
- D. $120$
Question 2 · Easy
An object moves at a speed of $\frac{6}{25}$ feet per second. What is this speed, in yards per second? (3 feet = 1 yard)
- A. 25
- B. 9
- C. $\frac{18}{25}$
- D. $\frac{2}{25}$ Correct
Question 3 · Easy
A small drone can travel at an average speed of 18 meters per second during continuous flight. At this rate, how many meters would this drone travel in 5 seconds?
- A. 90Correct
- B. 23
- C. 18
- D. 13

Practice Ratios, Rates, and Proportions Questions

Drill ratios, rates, and proportions questions in the Digital SAT Math question bank, or take a full-length practice module to see how this skill appears under test conditions.

Practice block	What to do	Move on when
Warmup	Solve 10 untimed ratios, rates, and proportions questions and write the rule used for each.	You can explain 8 of 10 without reading the explanation.
Timed drill	Solve 20 filtered bank questions at real module pace.	Accuracy is at least 80% and misses are not repeating.
Transfer	Take a mixed timed module and mark each Problem-Solving and Data Analysis miss.	The skill still holds up when mixed with other question types.

FAQs

What is Ratios, Rates, and Proportions on the Digital SAT?

Ratios, rates, and proportions appear in word problems throughout both modules. The skill is about setting up a clean proportion and carefully tracking units.

How hard are ratios, rates, and proportions questions?

Ratios, Rates, and Proportions questions appear at every difficulty level on the Digital SAT Math section. The hardest versions gate access to the top scaled scores in the hard Module 2.

How do I practice ratios, rates, and proportions?

Use the 1600.now question bank to filter for ratios, rates, and proportions questions, solve at least 20 in a row, and review every miss with the written explanation.

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