Ohio Assessments for Educators OAE Mathematics 2 — Questions and Answers
Question 1: A rectangle has a perimeter of 36 cm and a length of 10 cm. What is the width?
- 8 cm (Correct answer)
- 26 cm
- 16 cm
- 6 cm
Correct answer: 8 cm
Using P = 2(l + w): 36 = 2(10 + w), so 18 = 10 + w, giving w = 8 cm.
Question 2: Which measure of central tendency is most affected by outliers?
- Mode
- Median
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean uses all data values in its calculation, so extreme outliers pull it significantly higher or lower.
Question 3: In the OAE content framework, proportional reasoning is primarily associated with which grade band?
- K–2
- 3–5
- 6–8 (Correct answer)
- 9–12
Correct answer: 6–8
Proportional reasoning is a cornerstone of the middle grades (6–8) mathematics curriculum in Ohio standards.
Question 4: A teacher wants to assess conceptual understanding of fractions. Which task best measures this?
- Compute 3/4 + 1/2 using an algorithm
- Explain why 1/2 > 1/3 using a number line (Correct answer)
- Memorize fraction-to-decimal equivalents
- Complete a worksheet of 20 fraction addition problems
Correct answer: Explain why 1/2 > 1/3 using a number line
Explaining reasoning using a number line demonstrates conceptual understanding of fraction magnitude rather than procedural skill alone.
Question 5: Which transformation preserves the size and shape of a figure?
- Dilation
- Shear
- Isometry (congruence transformation) (Correct answer)
- Scaling
Correct answer: Isometry (congruence transformation)
Isometries—translations, reflections, and rotations—preserve both size and shape, maintaining congruence.
Question 6: Probability of an event A is 0.3. What is the probability of the complement of A?
- 0.3
- 0.6
- 0.7 (Correct answer)
- 1.3
Correct answer: 0.7
The complement rule states P(A') = 1 − P(A) = 1 − 0.3 = 0.7.
Ohio Assessments for Educators OAE Mathematics 2
A rectangle has a perimeter of 36 cm and a length of 10 cm.
What is the width?