Ohio Assessments for Educators OAE Mathematics 1 — Questions and Answers
Question 1: Which OAE test code is used for the Mathematics subtest for grades 4–9?
- OAE 027 (Correct answer)
- OAE 028
- OAE 030
- OAE 032
Correct answer: OAE 027
OAE 027 is the Middle Grades Mathematics test covering grades 4–9.
Question 2: A student claims that √2 + √3 = √5. Which type of error has the student made?
- Computational error
- Conceptual error about radicals (Correct answer)
- Procedural error in addition
- Estimation error
Correct answer: Conceptual error about radicals
The student incorrectly applied addition under a single radical, which is a conceptual misunderstanding of radical properties.
Question 3: On the OAE Mathematics exam, which domain focuses on relationships between variables and patterns of change?
- Number and Operations
- Algebra and Functions (Correct answer)
- Geometry and Measurement
- Statistics and Probability
Correct answer: Algebra and Functions
The Algebra and Functions domain covers patterns, variables, and how quantities relate and change.
Question 4: A teacher uses algebra tiles to model 2x + 3. This is an example of which representational form?
- Symbolic
- Verbal
- Concrete/manipulative (Correct answer)
- Graphical
Correct answer: Concrete/manipulative
Algebra tiles are physical manipulatives, representing the concrete stage of the concrete–representational–abstract progression.
Question 5: Which property justifies rewriting 3(x + 4) as 3x + 12?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that a(b + c) = ab + ac, which justifies expanding 3(x + 4) to 3x + 12.
Question 6: Which instructional strategy best supports students who struggle with multi-step word problems in mathematics?
- Drill and practice of isolated facts
- Using graphic organizers to identify given information and unknowns (Correct answer)
- Reducing problem complexity permanently
- Avoiding word problems until computation is mastered
Correct answer: Using graphic organizers to identify given information and unknowns
Graphic organizers help students organize information and plan solution strategies, directly addressing multi-step problem difficulties.
Which OAE test code is used for the Mathematics subtest for grades 4–9?