Question 1
A survey received 224 responses, which is of the people invited. How many people were invited?
- A224
- B448
- C500
- D724
Show answer
Answer: C — 500
If people were invited, then . Dividing gives people.
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Percents and percent change — ACT practice questions
On the ACT Mathematics test, Percents and percent change covers finding a percent of a quantity, recovering a whole from a given percent, and measuring a rise or fall against a starting amount. Students must convert percents to decimals, divide change by the original, and handle a price that increases by 20% then decreases by 20% without treating the moves as canceling. Items are multiple choice with five options, often percents or whole counts. Common traps include dividing by the new figure, reversing part and whole, and assuming the final price matches the original.
- Section: Mathematics 45 questions on the paper
- 43 practice questions in the app
Sample questions
Question 2
A workshop produced 200 lamps in its first month and 160 lamps in its second month. What was the percent change from the first month to the second?
- A increase
- B decrease
- C decrease
- D increase
Show answer
Answer: B — decrease
Production decreased by lamps. Relative to the original 200, the change is , or a decrease.
Question 3
A jacket’s price increases by , then the new price decreases by . The final price is what percent of the original price?
- A
- B
- C
- D
Show answer
Answer: B —
Multiplicative change: , so the final price is of the original.
Practice 43 Percents and percent change 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
- Ratios, rates, and proportional relationships
- 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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