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100+ Free AEPA Mathematics (NT304) Practice Questions

Pass your AEPA Mathematics Subject Knowledge Test (NT304) exam on the first try — instant access, no signup required.

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Key Facts: AEPA Mathematics (NT304) Exam

NT304

Current AEPA Mathematics Test Code

AEPA Tests List

150

Multiple-Choice Questions

AEPA Mathematics Test Page

5 hours

Testing Time

AEPA Mathematics Test Page

220

Passing Score

AEPA Mathematics Test Page

$119

Current Posted Fee

AEPA Mathematics Test Page

24%

Heaviest Domain Weight

AEPA/NES Mathematics Profile

5 domains

Official Profile Domains

AEPA/NES Mathematics Profile

Calculator + formulas

On-Screen Reference Materials

AEPA Mathematics Test Page

AEPA currently lists Mathematics as subject knowledge test NT304. The official test page describes NT304 as a computer-based test with 150 multiple-choice questions, 5 hours of testing time within a 5-hour-15-minute appointment, a passing score of 220, a posted fee of $119, and on-screen scientific calculator and formulas-page reference materials. The official profile weights Patterns, Algebra, and Functions at 24%, while Mathematical Processes and Number Sense, Measurement and Geometry, Trigonometry and Calculus, and Statistics, Probability, and Discrete Mathematics are each weighted 19%.

Sample AEPA Mathematics (NT304) Practice Questions

Try these sample questions to test your AEPA Mathematics (NT304) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A candidate estimates 48.6% of 398 by using 50% of 400. Which statement best describes the estimate?
A.It is about 200 and is reasonable because both numbers were rounded to convenient nearby values.
B.It is about 100 and is reasonable because 50% means divide both numbers by 4.
C.It is about 400 and is reasonable because percent values near 50% double the original number.
D.It cannot be estimated without first converting 48.6% to an exact fraction.
Explanation: Rounding 48.6% to 50% and 398 to 400 gives 0.50 x 400 = 200. Since the original percent and quantity are both close to the rounded values, 200 is a plausible estimate.
2What is 3/4 divided by 2/3?
A.1/2
B.9/8
C.8/9
D.5/7
Explanation: Dividing by a fraction is equivalent to multiplying by its reciprocal. Thus (3/4) / (2/3) = (3/4)(3/2) = 9/8.
3A class has a ratio of 3 juniors to 5 seniors. If there are 64 students in all, how many are seniors?
A.24
B.32
C.40
D.48
Explanation: The ratio has 3 + 5 = 8 equal parts. Each part represents 64 / 8 = 8 students, so the 5 senior parts represent 5 x 8 = 40 students.
4Which number is the greatest common factor of 84 and 120?
A.6
B.12
C.24
D.36
Explanation: The prime factorizations are 84 = 2^2 x 3 x 7 and 120 = 2^3 x 3 x 5. The shared prime factors with the smaller exponents are 2^2 x 3 = 12.
5What is the product (4 + 3i)(4 - 3i)?
A.7
B.16 - 9i
C.25
D.25i
Explanation: The factors are complex conjugates, so their product is a^2 + b^2. Here 4^2 + 3^2 = 16 + 9 = 25, and the imaginary terms cancel.
6Which statement is the contrapositive of "If a figure is a square, then it is a rectangle"?
A.If a figure is a rectangle, then it is a square.
B.If a figure is not a square, then it is not a rectangle.
C.If a figure is not a rectangle, then it is not a square.
D.If a figure is a square, then it is not a rectangle.
Explanation: The contrapositive of "if p, then q" is "if not q, then not p." Here p is "a figure is a square" and q is "it is a rectangle," so the contrapositive is "If a figure is not a rectangle, then it is not a square."
7A cyclist travels 18 miles in 1.5 hours and then 10 miles in 0.5 hour. What is the cyclist's average speed for the entire trip?
A.14 miles per hour
B.16 miles per hour
C.18 miles per hour
D.20 miles per hour
Explanation: Average speed over the whole trip is total distance divided by total time. The cyclist travels 28 miles in 2 hours, so the average speed is 28 / 2 = 14 miles per hour.
8A price is increased by 20% and then the new price is decreased by 20%. What is the final price compared with the original price?
A.4% lower than the original
B.The same as the original
C.4% higher than the original
D.20% lower than the original
Explanation: Let the original price be P. After a 20% increase it is 1.2P, and after a 20% decrease it is 0.8(1.2P) = 0.96P, which is 4% lower than the original.
9For which truth values of p and q is the implication p -> q false?
A.p is true and q is true
B.p is true and q is false
C.p is false and q is true
D.p is false and q is false
Explanation: An implication p -> q is false only when the hypothesis p is true and the conclusion q is false. In all other cases, the implication is true in classical logic.
10A student claims that n^2 + n + 11 is prime for every positive integer n after checking n = 1, 2, 3, and 4. Which response best addresses the reasoning?
A.The claim is proven because several examples support it.
B.The claim is false because n = 11 gives a composite value.
C.The claim is true because all quadratic expressions generate primes.
D.The claim cannot be evaluated because n is not specified.
Explanation: A universal claim can be disproved by one counterexample. When n = 11, n^2 + n + 11 = 121 + 11 + 11 = 143 = 11 x 13, which is composite.

About the AEPA Mathematics (NT304) Exam

AEPA Mathematics (NT304) is the National Evaluation Series subject knowledge test used to fulfill the mathematics testing requirement for Arizona teacher certification. The official AEPA test page lists a computer-based, 150-question multiple-choice assessment with 5 hours of testing time, a 220 passing score, an on-screen scientific calculator, and an on-screen formulas page. The official Mathematics profile organizes the test into five domains: Mathematical Processes and Number Sense; Patterns, Algebra, and Functions; Measurement and Geometry; Trigonometry and Calculus; and Statistics, Probability, and Discrete Mathematics.

Assessment

150 multiple-choice questions

Time Limit

5h testing time (5h 15m total appointment)

Passing Score

220 scaled score

Exam Fee

$119 (Arizona Educator Proficiency Assessments / Pearson (NES))

AEPA Mathematics (NT304) Exam Content Outline

19% of test score

Mathematical Processes and Number Sense

Problem-solving strategies, estimation, operations with integers, fractions, decimals, and percents; ratios, proportions, average rates of change; mathematical communication and representations; inductive and deductive reasoning; logic; historical development of mathematics; real-number structure; complex-number operations; and basic number theory.

24% of test score

Patterns, Algebra, and Functions

Relations and functions, function composition and inverses, analysis of function characteristics and representations, linear, quadratic, and higher-order polynomial equations and graphs, systems, exponential and logarithmic functions, rational expressions, radical functions, absolute value functions, piecewise-defined functions, domains, ranges, and asymptotes.

19% of test score

Measurement and Geometry

Customary and metric units, unit conversions, similarity, scale factors, proportional reasoning in measurement, precision and error, perimeter, circumference, area, surface area, volume, Euclidean and non-Euclidean axioms, polygon and circle properties, Pythagorean theorem, formal and informal proof, nets, cross sections, coordinate geometry, conic sections, transformations, and symmetries.

19% of test score

Trigonometry and Calculus

Trigonometric functions for distance and angle problems, unit-circle values, trigonometric identities and equations, periodic models and graphs, limits, continuity, derivatives as slopes and difference quotients, derivative rules, graph analysis, rates of change, optimization, integrals, Riemann sums, area under a curve, and applied integration.

19% of test score

Statistics, Probability, and Discrete Mathematics

Data organization and displays, central tendency and variability, bias and sampling techniques, simple, compound, and conditional probability, counting principles, graphical probability models, uniform, binomial, and normal distributions, permutations and combinations, sequences and series, recursive definitions, matrix and vector operations, and set theory.

How to Pass the AEPA Mathematics (NT304) Exam

What You Need to Know

  • Passing score: 220 scaled score
  • Assessment: 150 multiple-choice questions
  • Time limit: 5h testing time (5h 15m total appointment)
  • Exam fee: $119

Keys to Passing

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

AEPA Mathematics (NT304) Study Tips from Top Performers

1Allocate practice by official weight: give extra time to Patterns, Algebra, and Functions because it is the only 24% domain.
2Memorize core algebra, trigonometry, geometry, probability, and calculus facts, but practice applying them in unfamiliar multiple-choice contexts.
3Use estimation and reasonableness checks; the profile explicitly tests estimation, plausibility, and problem-solving strategy selection.
4Review proof, logic, and mathematical communication rather than treating the exam as calculation only.
5Practice with an on-screen scientific calculator mindset: know when the calculator saves time and when symbolic reasoning is faster.
6Keep an error log by the five official AEPA profile domains and retest weak domains with mixed, timed sets.

Frequently Asked Questions

What is the current AEPA Mathematics test code?

The current official AEPA tests list identifies Mathematics as NT304. The profile and test-page URLs also use NT304, so this question bank and metadata use AEPA Mathematics (NT304).

How many questions are on AEPA Mathematics (NT304)?

The official test page lists 150 multiple-choice questions. AEPA also notes that tests may include questions being evaluated for future administrations that do not affect a candidate's score.

How much time do I get on AEPA Mathematics?

The test page lists 5 hours of testing time inside a 5-hour-15-minute total appointment. The extra 15 minutes covers the CBT tutorial and nondisclosure agreement.

What passing score do I need for AEPA Mathematics?

The official AEPA Mathematics test page lists a passing score of 220. Scores are reported on the AEPA scaled-score system.

How much does AEPA Mathematics cost?

The current posted test fee on the official AEPA Mathematics test page is $119. Candidates should still confirm the live registration total before checkout.

What domains are on AEPA Mathematics?

The official profile lists five domains: Mathematical Processes and Number Sense at 19%, Patterns, Algebra, and Functions at 24%, Measurement and Geometry at 19%, Trigonometry and Calculus at 19%, and Statistics, Probability, and Discrete Mathematics at 19%.