AEPA Middle Grades Mathematics Exam
The Middle Grades Mathematics test measures your knowledge according to the Arizona Academic Standards. Success on the test indicates that you are qualified to teach this subject in Arizona public schools. The test content is drawn from five subareas based on AEPA learning objectives: Number Sense and Operations (20% of the test); Data Analysis, Probability, and Discrete Mathematics (20%); Patterns, Algebra, and Functions (20%); Geometry and Measurement (20%); and Mathematical Processes and Reasoning (20%). The test covers basics of each of these areas; for example, test-takers should know number theory, numerical operations, and number systems. They should expect questions on probability distributions and discrete mathematics. The third subarea regards basics of (and problem-solving with) patterns, algebra, and functions (including linear and nonlinear functions), and the fourth subarea includes content on transformational geometry and properties of two- and three-dimensional figures. Lastly, the tests covers topics such as communicating mathematical information and connections within and outside mathematics.AEPA Middle Grades Mathematics Practice Questions
1. |-8 + 4| =
A: 4
B: -4
C: -12
D: 12
2. What is the mode of the following data set: {1, 3, 9, 19, 4, 2, 3, 14}?
A: 1
B: 6.5
C: 7
D: 3
3. In an equilateral triangle, what is the degree measurement of each angle?
A: 90
B: 180
C: 60
D: Impossible to determine
4. What is another name for a quadrilateral in which all sides are equal, but the values of the angles are unknown?
A: square
B: rhombus
C: rectangle
D: isosceles
5. Solve for x: 4x - 3 = 18
A: 4 1/4
B: 5 1/4
C: 6
D: 6 1/2
Answer key
1. A. The absolute value of a number is its distance from zero on a number line. It is always positive.
2. D. The mode of a set of data is the most common value.
3. C. The sum of the angles in a triangle is always 180 degrees. In an equilateral triangle, each angle will have the same measure.
4. B. In a square, all sides and angles are equal; in a rectangle, all angles and opposing sides are equal; an isosceles is a type of triangle.
5. B. First, add 3 to both sides of the equation. Then divide both sides by 4.
