Question 1Easier
The quantity varies inversely with . When , . What is when ?
Show answer
Answer: B — 4
For inverse variation, is constant. Thus , so .
Study on the flyACTMathematicsRatios, rates, and proportional relationships
Mathematics
Ratios, rates, and proportional relationships — ACT practice questions
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What this topic is
Ratios, rates, and proportional relationships connect two quantities that change together.
A direct proportion keeps their ratio constant, while an inverse relationship keeps their product constant, so if one doubles the other halves. Rate problems often require unit conversion, such as turning kilometers per hour into meters per second by multiplying by 1,000 and dividing by the number of seconds in an hour.
Setting up a proportion with matching units in matching positions prevents most errors. ACT Mathematics also asks for a ratio like x to y drawn from an equation, and wrong answer choices frequently come from flipping a ratio or converting units in the wrong direction.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 2Mid
A delivery drone flies at a constant speed of 54 kilometers per hour. What is the drone’s speed in meters per second?
(Note: 1 kilometer = 1,000 meters)
Show answer
Answer: C — 15
Convert: meters per second.
Question 3Mid
If , then ?
Show answer
Answer: B —
Cross-multiplication gives , so and .
Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.
Practice 68 Ratios, rates, and proportional relationships questions in the app
More ACT topics
Mathematics
- Real number system and number properties
- Integer and rational exponents
- Radicals and roots
- Complex numbers
- Vectors and matrices
- Fractions, decimals, and operations
- Percents and percent change
- Linear equations and expressions in one variable
- Inequalities (linear and compound)
- Systems of equations
- Polynomial expressions and factoring
- Quadratic equations
- Radical and rational equations
- Exponential relationships
- Function notation and evaluating functions
- Linear functions and graphs
- Quadratic and polynomial functions
- Radical and rational functions
- Piecewise functions
- Exponential and logarithmic functions
- Key features and transformations of graphs
- Lines, angles, and polygons
- Triangles — congruence, similarity, Pythagorean theorem
- Circles — arcs, sectors, angles, equations
- Surface area and volume of solids
- Coordinate geometry — distance, midpoint, slope, line equations
- Conic sections
- Right-triangle trigonometry and trig functions
- Measures of center and spread
- Data collection methods and study design
- Bivariate data and relationships (scatterplots, correlation)
- Probability and sample spaces
- Counting, combinations, and permutations
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