Praxis Elementary Education: Three Subject Bundle—Mathematics Practice Test
The mathematics practice set samples elementary-level quantitative reasoning, including fractions, ratios, whole-number operations, measurement, geometry, coordinate grids, data displays, and probability. Problems use familiar classroom contexts such as grouping students, comparing survey responses, interpreting map scales, and finding the dimensions or volume of shapes. Work through each item by identifying the mathematical relationship, selecting an operation or representation, and checking whether the result fits the context.
Exam overview
About the Praxis Elementary Education: Three Subject Bundle—Mathematics Exam
The available questions call for fluent computation and careful interpretation of quantities. Fraction equivalence tests whether different numerators and denominators represent the same value; equal-group and total-count problems distinguish multiplication from addition or division. Measurement tasks connect a scale factor to real distance, while area and volume questions require choosing square or cubic units and applying the relevant dimensions. Coordinate-grid items require separating horizontal and vertical position. Data questions ask which display makes categories and counts easiest to compare, and probability asks students to reason about outcomes across repeated events. For elementary teaching, these skills support diagnosing where a learner's reasoning breaks down—for example, confusing area with perimeter or treating two independent coin tosses as one event—and selecting a clear model, unit, or explanation.
Sample Practice Questions
Review a selection from this exam's published US Practice Tests practice bank.
Which fraction is equivalent to 5/8?
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Correct answer: CMultiplying the numerator and denominator of 5/8 by 4 gives 20/32. The other choices do not preserve the fraction's value.
A fair coin is tossed twice. What is the probability that both tosses land heads?
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Correct answer: CThe equally likely outcomes are HH, HT, TH, and TT. Only HH has two heads, so the probability is 1 out of 4, or 1/4.
A map uses a scale of 1 centimeter to represent 4 kilometers. Two towns are 6.5 centimeters apart on the map. How far apart are they in reality?
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Correct answer: CEach centimeter represents 4 kilometers, so 6.5 centimeters represent 6.5 × 4 = 26 kilometers.
A rectangular prism has a length of 4 centimeters, a width of 3 centimeters, and a height of 2 centimeters. What is its volume?
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Correct answer: CThe volume of a rectangular prism is length × width × height: 4 × 3 × 2 = 24 cubic centimeters.
A point is located at (−3, 4) on a coordinate grid. What is its horizontal coordinate?
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Correct answer: AIn an ordered pair (x, y), the first number is the horizontal coordinate. Therefore, the horizontal coordinate is −3.
A rectangular prism has a volume of 96 cubic centimeters. Its base measures 8 centimeters by 4 centimeters. What is its height?
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Correct answer: AThe base area is 8 × 4 = 32 square centimeters. Since volume equals base area times height, the height is 96 ÷ 32 = 3 centimeters. Correction: 96 ÷ 32 = 3, so option B is correct.
A survey asks students to choose their favorite school lunch. Which display is best suited to compare the number of students choosing each lunch?
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Correct answer: AA bar graph is well suited to displaying and comparing counts across categories, such as different lunch choices. A number line represents numerical values, a protractor measures angles, and a net represents a three-dimensional shape laid flat.
How to use this practice test
The free US Practice Tests session draws up to 20 random questions from the 50-question practice bank and displays results after you finish. Use a session to identify which skills need further work, then review missed items by writing the operation, unit, or representation that justifies the answer. A fresh session can provide a different sample.
Preparation tips
- For fraction-equivalence problems, multiply or divide the numerator and denominator by the same nonzero number, then verify with a visual model or decimal comparison.
- Translate word problems into equations before calculating: mark the known quantities, identify the unknown, and decide whether the relationship calls for addition, multiplication, division, or a scale factor.
- Keep area and volume distinct: label area answers in square units and prism volume in cubic units, using length × width × height when all three dimensions are known.
- Practice reading ordered pairs by locating the x-coordinate horizontally and the y-coordinate vertically; check the sign and direction from the origin.
- For probability and data questions, list possible outcomes or category counts first, then choose a comparison display or probability calculation that matches the question.