Praxis Middle School Math 5164 Study Guide 2026–2027 | 200 Practice Questions

Prepare for the Praxis® Middle School Mathematics (5164) test with a complete study guide organized around the five ETS content categories: Numbers and Operations; Algebra; Functions; Geometry and Measurement; and Statistics and Probability. Each chapter teaches the math with clear rules, worked examples, graphs, figures, and tables, and closes with an "In the Classroom" box on the student misconceptions and teaching moves the test asks about.

This 107-page digital guide pairs a focused content review with two 100-question practice tests written at exam level. About 30% of the questions are set in teaching scenarios, just like the real test: analyze a student's error, judge whether a student's method always works, or choose the model or task that best builds a concept.

What's Inside

• An overview of the current test: 66 questions in 180 minutes, the on-screen graphing calculator and reference sheet, question types (single answer, select-all, numeric entry), the five categories and their weights (23/23/17/20/17%), the 100–200 score scale, state qualifying scores, fees, delivery options, and retakes
• Numbers and Operations: classifying real numbers, closure, properties of operations, exponents and radicals, scientific notation, number theory, GCF and LCM, repeating decimals, fraction models, ratios and proportional relationships, percent applications (markup, tax, interest, percent error), and dimensional analysis
• Algebra: polynomials, rational exponents, solving and justifying equations, absolute-value and quadratic inequalities, forms of a line, systems of equations and inequalities, linear-quadratic systems, factoring, the quadratic formula, and the discriminant
• Functions: domain and range, function notation in context, linear, quadratic, and exponential models, comparing growth, transformations, composition, and arithmetic sequences
• Geometry and Measurement: angle relationships, the Pythagorean theorem, special right triangles, polygons and circles, rigid motions and dilations, congruence and similarity, coordinate geometry, area, surface area, and volume, and unit conversions
• Statistics and Probability: sampling and bias, data displays, two-way tables, weighted mean, IQR and outliers, box plots, scatterplots and trend lines, counting, compound events, and probability models
• Four- and six-week study schedules, FAQs, test-taking and calculator strategies, and recommended resources
• 2 practice tests (200 questions) weighted like the real test's five categories, with a separate answer key that works out every answer and names the mistake behind each wrong choice

Format

• Instant digital download (PDF), 8.5 × 11 in
• Clickable table of contents
• Print it or study on a tablet, laptop, or phone

Please note: This is a digital product. No physical item will be shipped.

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