100+ Free OAE Mathematics Practice Questions
Pass your Ohio Assessments for Educators Mathematics (027) exam on the first try — instant access, no signup required.
Simplify log_b(25) - log_b(5), assuming b > 0 and b is not 1.
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Key Facts: OAE Mathematics Exam
027
Current OAE Mathematics Test Code
OAE assessments list
150
Multiple-Choice Questions
OAE Mathematics (027) test page
4h 15m
CBT Testing Time
OAE Mathematics (027) test page
4h 30m
CBT Total Appointment Time
OAE Mathematics (027) test page
220
Passing Score
OAE Mathematics (027) test page
$109
Assessment Fee
OAE Mathematics (027) test page
24%
Largest Domain: Patterns, Algebra, and Functions
OAE Mathematics (027) assessment framework
Not reported
Public Pass Rate
OAE/Pearson public pages reviewed
The current OAE Mathematics (027) test page lists 150 multiple-choice questions, computer-based and online-proctored delivery, a passing score of 220, a $109 assessment fee, an on-screen scientific calculator, and a formulas page. CBT appointments are 4 hours and 30 minutes total with 4 hours and 15 minutes of testing time. Online-proctored appointments are 4 hours and 45 minutes total and split Domains I-II from Domains III-V with an optional 15-minute break. The official framework weights 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%.
Sample OAE Mathematics Practice Questions
Try these sample questions to test your OAE Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1A rectangular school garden is 19.6 feet long and 10.4 feet wide. Which estimate is most reasonable for its area?
2A jacket originally costs $80. It is discounted 25%, and then 8% sales tax is applied to the discounted price. What is the final price?
3A car travels 156 miles in 3 hours. At the same average speed, how far will it travel in 5 hours?
4A table shows that y is 3 when x is 1, y is 7 when x is 3, and y is 11 when x is 5. Which equation represents the same relationship?
5Which statement is the contrapositive of "If a number is divisible by 6, then it is divisible by 3"?
6What is (3 + 2i)(4 - i), where i^2 = -1?
7What is the least common multiple of 18 and 24?
8Which set is closed under subtraction?
9A student claims that the product of two odd integers is always odd because (2a + 1)(2b + 1) = 2(2ab + a + b) + 1. Which type of reasoning is the student using?
10For f(x) = x^2 - 2x, what is the average rate of change from x = 1 to x = 4?
About the OAE Mathematics Exam
The OAE Mathematics (027) assessment is the current Ohio Assessments for Educators mathematics content test for educator licensure candidates. The official framework covers mathematical processes and number sense, algebra and functions, measurement and geometry, trigonometry and calculus, and statistics, probability, and discrete mathematics.
Assessment
150 multiple-choice questions; this practice bank is 100 selected-response items
Time Limit
4h 30m CBT appointment (4h 15m testing); 4h 45m online-proctored appointment with optional break
Passing Score
220
Exam Fee
$109 (State Board of Education of Ohio / Pearson)
OAE Mathematics Exam Content Outline
Mathematical Processes and Number Sense
Problem-solving strategies, estimation, integers, rational numbers, decimals, percents, ratios, proportions, rates of change, representations, mathematical connections, inductive and deductive reasoning, logic, historical development of mathematical concepts, real-number structure, complex numbers, operation properties, prime factorization, greatest common factor, and least common multiple.
Patterns, Algebra, and Functions
Relations, functions, applications, composition, inverses, graph interpretation, linear, quadratic, and higher-order polynomial functions, equations, inequalities, systems, exponential and logarithmic laws, exponential and logarithmic graphs and models, rational, radical, absolute value, and piecewise-defined expressions, equations, domains, ranges, and asymptotes.
Measurement and Geometry
Customary and metric units, similarity, scale factors, proportional measurement, precision, error, rounding, perimeter, circumference, area, surface area, volume, Euclidean and non-Euclidean axioms, polygons, circles, Pythagorean theorem and converse, geometric proof, nets, cross sections, coordinate systems, distance, midpoint, slope, conic sections, transformations, and symmetries.
Trigonometry and Calculus
Trigonometric functions for distances and angles, unit-circle values, trigonometric identities and equations, trigonometric graphs, periodic models, limits, continuity, derivatives as tangent slopes and difference quotient limits, polynomial, exponential, and logarithmic derivatives, graph analysis, rates of change, optimization, integrals as area and Riemann-sum limits, antiderivatives, and integration applications.
Statistics, Probability, and Discrete Mathematics
Data organization and displays, data representations, measures of central tendency and variability, bias, sampling techniques, simple, compound, and conditional probabilities, counting principles, graphical probability representations, simulations, uniform, binomial, and normal distributions, permutations, combinations, sequences, series, recursive definitions, matrices, vectors, and set theory.
How to Pass the OAE Mathematics Exam
What You Need to Know
- Passing score: 220
- Assessment: 150 multiple-choice questions; this practice bank is 100 selected-response items
- Time limit: 4h 30m CBT appointment (4h 15m testing); 4h 45m online-proctored appointment with optional break
- Exam fee: $109
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
OAE Mathematics Study Tips from Top Performers
Frequently Asked Questions
How many questions are on the OAE Mathematics exam?
The current OAE Mathematics (027) test page lists 150 multiple-choice questions. OAE also notes that assessments may include questions being evaluated for future administrations that do not affect the score.
How long is the OAE Mathematics (027) appointment?
For computer-based testing, the official test page lists a 4 hour and 30 minute total appointment with 4 hours and 15 minutes of testing time. For online proctoring, it lists a 4 hour and 45 minute appointment with Domains I-II before an optional 15-minute break and Domains III-V after the break.
What score do I need to pass OAE Mathematics?
The current passing score for OAE Mathematics (027) is 220. OAE says passing status is based on performance across the assessment.
How much does OAE Mathematics cost?
The official OAE Mathematics (027) test page lists an assessment fee of $109. Optional official preparation products, including Right Start subscriptions and the official practice assessment, are separate purchases when available.
Which OAE Mathematics domain carries the most weight?
Patterns, Algebra, and Functions is the largest domain in the official Mathematics (027) framework at 24% of the assessment score. The other four domains are each weighted at 19%.
What reference materials are provided for OAE Mathematics?
The OAE Mathematics (027) test page says an on-screen scientific calculator and a formulas page are provided with the assessment.