Question 1Easier
A survey received 224 responses, which is of the people invited. How many people were invited?
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Answer: C — 500
If people were invited, then . Dividing gives people.
Study on the flyACTMathematicsPercents and percent change
Mathematics
Percents and percent change — ACT practice questions
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What this topic is
Questions on Percents and percent change hinge on choosing the right base.
Percent change equals the difference divided by the original amount, so a drop from fifty to forty is a twenty percent decrease, while a rise from forty back to fifty is a twenty-five percent increase. That asymmetry explains why raising a price by some percent and then lowering it by the same percent does not return it to the start.
Another classic form gives a part and the percent it represents and asks for the whole. ACT Mathematics answer choices often include the result of dividing by the wrong base.
Sample questions
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Question 2Easier
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?
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Answer: B — decrease
Production decreased by lamps. Relative to the original 200, the change is , or a decrease.
Question 3Easier
A jacket’s price increases by , then the new price decreases by . The final price is what percent of the original price?
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Answer: B —
Multiplicative change: , so the final price is of the original.
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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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