Praxis Mathematics Practice Test
Praxis Mathematics practice addresses mathematical reasoning and problem solving across algebra, number operations, geometry, statistics, and probability. The question bank includes tasks such as solving equations, interpreting linear relationships, calculating area and percent change, analyzing geometric transformations, and finding probabilities from simple experiments.
Exam overview
About the Praxis Mathematics Exam
Work through each problem by identifying the relevant quantities and selecting a representation that makes the relationships clear. Algebra questions call for isolating variables, interpreting slope and intercepts, and translating verbal statements into equations. Number tasks involve fractions, divisibility, prime factorization, and proportional reasoning. Geometry items use formulas for measurements and coordinate rules for transformations. Probability questions require identifying favorable outcomes within a defined sample space, while data-oriented reasoning includes comparing values and describing rates of change. For teaching-oriented mathematical work, explaining why a method applies is as important as obtaining a result: check units, distinguish additive from multiplicative change, and verify calculations with substitution, estimation, or an alternate representation.
Sample Practice Questions
Review a selection from this exam's published US Practice Tests practice bank.
A circle has radius 5 units. What is its area in terms of π?
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Correct answer: CThe area of a circle is πr². With radius 5, the area is π(5²) = 25π square units.
A linear function has value 11 when its input is 2 and value 23 when its input is 6. What is its rate of change?
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Correct answer: BThe rate of change is the change in output divided by the change in input: (23 − 11)/(6 − 2) = 12/4 = 3.
Solve the equation 7x + 4 = 39.
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Correct answer: BSubtract 4 from both sides to get 7x = 35. Divide by 7 to obtain x = 5.
Which is the prime factorization of 84?
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Correct answer: BFactor 84 as 2 × 42 = 2 × 2 × 21 = 2² × 3 × 7. All factors shown are prime.
A fair six-sided number cube is rolled once. What is the probability of rolling an even number greater than 2?
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Correct answer: BThe possible outcomes are 1 through 6. The even outcomes greater than 2 are 4 and 6, so the probability is 2/6 = 1/3.
A transformation maps every point (x, y) to (−y, x). What transformation is this about the origin?
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Correct answer: AA 90° counterclockwise rotation about the origin maps coordinates according to (x, y) → (−y, x). The stated rule matches that rotation.
A store's revenue was $240 on Monday and $300 on Tuesday. By what percent did revenue increase from Monday to Tuesday?
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Correct answer: BThe increase was $300 − $240 = $60. Relative to Monday's $240, the percent increase is (60/240) × 100% = 25%.
How to use this practice test
The free US Practice Tests practice bank contains 50 questions. Each session presents up to 20 randomly selected questions and shows results when you finish. Use the results to identify calculation or reasoning patterns that need more work, then revisit the relevant problem type and solve it again without relying on the original answer choices.
Preparation tips
- For linear-function problems, calculate rate of change as the difference in outputs divided by the difference in inputs, then check the result against the equation.
- Translate word problems into equations before solving; substitute your answer back into the original statement to confirm it fits.
- Practice moving among fractions, ratios, percentages, and decimal values, especially when interpreting part-to-whole situations or percent increases.
- Memorize core geometry relationships, including circle area, and write units with each measurement to catch errors.
- For probability items, list the possible outcomes and count favorable outcomes explicitly before forming the probability.