AEPA Mathematics Exam
The Mathematics test measures your knowledge according to the Arizona Academic Standards. Success on the test indicates that you are qualified to teach mathematics in Arizona public schools. The test content is drawn from six subareas based on AEPA learning objectives: Number Sense (14% of the test); Data Analysis and Probability (14%); Patterns, Algebra, and Functions (18%); Geometry and Measurement (18%); Trigonometry and the Conceptual Foundations of Calculus (18%); and Mathematical Structure and Logic (18%). The test covers fundamentals of each of these areas. For instance, the test includes content on number theory, discrete mathematics, integers, fractions, decimals, and others topics. Test-takers should know subjects such as descriptive statistics, probability, and data analysis, including applications to problems. The Patterns, Algebra, and Functions section regards basics of algebra and functions, including the principles of linear and matrix algebra, linear and quadratic equations, and diverse types of functions (e.g., radical). Geometry and measurement content includes geometric figures, coordinate geometry, vectors, transformational geometry, three-dimensional objects, as well as the relation between geometry and algebra. Test-takers should know key concepts in calculus, such as techniques for solving problems related to triangles, trigonometric functions and identities, the concept of limits, and others. Finally, the last subarea regards various aspects of problem-solving (e.g., technological tools), mathematical communication, symbols, and reasoning (including axiomatic systems).AEPA Mathematics Practice Questions
1. What are the factors of 34?
A: 1, 34
B: 2, 17
C: 1, 2, 17, 34
D: 2, 17, 34
2. What is 21% of 400?
A: 21
B: 84
C: 100
D: 124
3. What is the name for a parallelogram with four congruent sides?
A: rhombus
B: parallelogram
C: trapezoid
D: rectangle
4. An electronic store puts radios on sale for 60% off the regular price, which is $49. If the store then deducts $5 from the sale price, what is the resulting price?
A: $12.40
B: $14.60
C: $19.60
D: $21.10
5. Which of the following is an improper fraction of 5.025?
A: 201/40
B: 25/5
C: 21/4
D: 525/100
Answer key
1. C. The factors of a number are all the whole numbers that the number can be divided by evenly.
2. B. This problem can be solved by multiplying 400 by 0.21.
3. A. A rhombus is a parallelogram with four equal sides but without four equal angles. The opposing angles of a rhombus are equal.
4. B. The solution can be found by multiplying 49 by 0.40 and then subtracting 5 from the product.
5. A. The answer can be found by first converting the decimal into a mixed number (5 25/1000 = 5 1/40) and then multiplying the coefficient by the denominator and adding the product to the numerator.
