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100+ Free Praxis Middle School Math Practice Questions

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A rectangular prism has dimensions 4 cm by 3 cm by 5 cm. What is its volume?

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Key Facts: Praxis Middle School Math Exam

66

Official Questions

ETS Praxis Middle School Mathematics (5164) test page

180 min

Testing Time

ETS Praxis 5164 materials

$130

Subject Assessment Fee

ETS Praxis Information Bulletin

~157-165

Common State Passing Range

ETS Praxis state requirements

~30%

Teaching-Scenario Items

ETS Praxis 5164 study companion

100

Free Practice Questions Here

OpenExamPrep Praxis 5164 bank

ETS lists Praxis Middle School Mathematics (5164) as a 66-question selected-response and numeric-entry exam with a 180-minute testing time and a $130 fee. About 62% of the content is arithmetic and algebra and about 38% is geometry, measurement, data, probability, and statistics, with roughly 30% of items set in teaching scenarios. Passing scores are set by individual states, commonly in the ~157-165 range, rather than by ETS. This free bank adds 100 selected-response practice questions with full explanations.

Sample Praxis Middle School Math Practice Questions

Try these sample questions to test your Praxis Middle School Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Simplify the expression 3(2x - 4) + 5x.
A.11x - 12
B.11x - 4
C.6x - 12
D.8x - 4
Explanation: Distribute first: 3(2x - 4) = 6x - 12. Then combine like terms with the 5x: 6x + 5x = 11x, leaving -12. The simplified expression is 11x - 12.
2Solve for x: 4x - 7 = 21.
A.3.5
B.7
C.14
D.3
Explanation: Add 7 to both sides to get 4x = 28. Divide both sides by 4 to find x = 7. Substituting back gives 4(7) - 7 = 21, which checks.
3A recipe uses 3 cups of flour for every 2 cups of sugar. If a baker uses 12 cups of flour, how many cups of sugar are needed?
A.6
B.18
C.8
D.4
Explanation: Set up the proportion 3/2 = 12/s. Cross-multiplying gives 3s = 24, so s = 8. The ratio of flour to sugar stays constant, so 12 cups of flour need 8 cups of sugar.
4What is 35% of 80?
A.24
B.26
C.32
D.28
Explanation: Convert the percent to a decimal: 35% = 0.35. Multiply by 80: 0.35 × 80 = 28. So 35% of 80 is 28.
5Evaluate 2^3 + 3^2 - 4 × 2.
A.13
B.17
C.25
D.9
Explanation: Apply order of operations. Exponents first: 2^3 = 8 and 3^2 = 9. Then multiplication: 4 × 2 = 8. Finally add and subtract left to right: 8 + 9 - 8 = 9.
6Which number is irrational?
A.0.75
B.sqrt(16)
C.22/7
D.sqrt(7)
Explanation: An irrational number cannot be written as a ratio of two integers and has a non-terminating, non-repeating decimal. sqrt(7) ≈ 2.6457513... never terminates or repeats, so it is irrational. The other choices are all rational.
7Solve the inequality: 2x + 5 < 17.
A.x < 12
B.x > 6
C.x < 11
D.x < 6
Explanation: Subtract 5 from both sides to get 2x < 12. Divide both sides by 2 (a positive number, so the inequality direction stays): x < 6.
8What is the greatest common factor (GCF) of 24 and 36?
A.6
B.72
C.4
D.12
Explanation: Factor each number: 24 = 2^3 × 3 and 36 = 2^2 × 3^2. The GCF uses the lowest power of each shared prime: 2^2 × 3 = 12. So the GCF is 12.
9If f(x) = 3x - 2, what is f(5)?
A.17
B.15
C.10
D.13
Explanation: Substitute x = 5 into the function: f(5) = 3(5) - 2 = 15 - 2 = 13. Function evaluation means replacing the variable with the input value.
10What is the next term in the arithmetic sequence 4, 9, 14, 19, ...?
A.24
B.23
C.25
D.22
Explanation: The common difference is found by subtracting consecutive terms: 9 - 4 = 5. Each term increases by 5, so the next term is 19 + 5 = 24.

About the Praxis Middle School Math Exam

Praxis Middle School Mathematics (5164) is the ETS subject assessment used by many states to license middle-grades mathematics teachers. The exam covers arithmetic and algebra plus geometry and measurement, data, probability, and statistics, and roughly 30% of questions are framed in classroom teaching scenarios. The computer-delivered test includes an on-screen graphing calculator and a provided formula and conversion sheet.

Assessment

66 selected-response & numeric-entry (official ETS); this practice bank is 100 selected-response items

Time Limit

180 minutes

Passing Score

Varies by state (common ~157-165)

Exam Fee

$130 (ETS (Educational Testing Service))

Praxis Middle School Math Exam Content Outline

40%

Number Systems, Ratio, and Percent

Integers, fractions, decimals, rational and irrational numbers, number theory, ratio and proportion, percent change, simple interest, rates, and unit reasoning.

22%

Expressions, Equations, and Functions

Algebraic expressions, linear and quadratic equations and inequalities, systems of equations, exponents, polynomial factoring, sequences, and linear and quadratic functions.

23%

Geometry and Measurement

Properties of geometric figures, angle relationships, similarity and congruence, transformations, coordinate geometry, the Pythagorean theorem, perimeter, area, surface area, and volume.

15%

Data, Probability, and Statistics

Reading and interpreting data displays, mean, median, mode and range, simple and complementary probability, and basic descriptive statistics.

How to Pass the Praxis Middle School Math Exam

What You Need to Know

  • Passing score: Varies by state (common ~157-165)
  • Assessment: 66 selected-response & numeric-entry (official ETS); this practice bank is 100 selected-response items
  • Time limit: 180 minutes
  • Exam fee: $130

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

Praxis Middle School Math Study Tips from Top Performers

1Weight your study time by content: arithmetic and algebra make up about 62% of Praxis 5164, so they should take the largest share of your prep.
2Treat teaching-scenario questions as math-first items: solve or analyze the underlying mathematics accurately before judging the instructional choice.
3Practice with the provided formula and conversion sheet so you know what is given and what you must recall from memory.
4Use the on-screen graphing calculator selectively after deciding on your approach; it should support reasoning, not replace setup.
5When reviewing misses, sort them by category and error type such as setup, sign errors, formula choice, or order of operations.

Frequently Asked Questions

Is a calculator allowed on Praxis Middle School Mathematics (5164)?

Yes. The computer-delivered Praxis 5164 provides an on-screen graphing calculator, and ETS also supplies a formula and conversion reference sheet during the test. You do not bring your own calculator; you use the tools built into the exam interface.

What passing score do I need for Praxis 5164?

ETS does not set a single national passing score for Praxis Middle School Mathematics. States and licensing agencies set their own qualifying scores, which commonly fall around 157 to 165. Confirm your exact required score with your state or educator-preparation program before registering.

How many questions are on Praxis 5164 and how long is it?

ETS lists the official exam as 66 selected-response and numeric-entry questions with a 180-minute testing time. This free practice bank provides 100 selected-response questions so you can drill all content categories with detailed explanations.

How much does the Praxis 5164 exam cost?

The Praxis Middle School Mathematics (5164) Subject Assessment fee is $130. Your final checkout total can vary slightly with optional services or taxes, so confirm the amount inside your ETS account before payment.

How long should I study for Praxis Middle School Math 5164?

Most candidates prepare over four to eight weeks. Spend the largest share of time on arithmetic and algebra because they make up about 62% of the exam, then add focused work on geometry, measurement, data, probability, and the roughly 30% of items written as teaching scenarios.