FTCE Middle Grades Mathematics 5-9 Exam

The FTCE Middle Grades Mathematics 5-9 subject examination consists of 75 multiple-choice questions. Question formats will include word problem, direct question, command, scenario, proofs, and graphics. Each question will contain four response options, which will be answered by bubbling in choice A, B, C, or D.

The test encompasses 10 core competencies, each with between 4 and 12 skill areas. Competencies are defined as areas of content knowledge, with skills being the behaviors that demonstrate those competencies. Each competency is also assigned a percentage representing the approximate proportion of test items in that content area on the test. Together, the competencies and skills are representative of knowledge that has been determined by content specialists to be important for beginning teachers.


Test-takers will need to demonstrate knowledge of problem-solving and reasoning skills; mathematical manipulatives and models and instructional technology; assessment in mathematics; connections among mathematical concepts; number sense, operations, and proportionality; foundations of algebra; algebraic thinking; data analysis, statistics, and probability; two-dimensional geometry; and measurement and spatial sense.

FTCE Middle Grades Mathematics 5-9 Exam Practice Questions

1. What is the world’s most widely used system of measurement?
A. the International System of Numbers Convergence
B. the International System of Units
C. the Metric System
D. the Global Conversion System

2. What is the correct formula for converting kilograms to pounds?
A. kg x 2.7 = pounds
B. kg x 1.2 = pounds
C. kg x 2.2 = pounds
D. kilo x 3.3 = pounds

3. The ____________ of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.
A. cosine
B. tangent
C. sine
D. secant

4. What would you use to find a line that bisects a given line segment?
A. the perpendicular calculator
B. the midpoint formula
C. the formula for distance
D. the bisection formula

5. A collection of repeated plane figures with no overlaps or gaps is a:
A. radical
B. transformation
C. dilation
D. tessellation


Answer Key

1. B. The Systeme international (SI) d’unites is used universally for the most part, with the largest notable exception being the United States.
2. C. This formula converts kilograms to pounds.
3. A. The function cosine is abbreviated as cos.
4. B. The midpoint formula is what is used to find the point that is exactly between two other points.
5. D. Tessellations, sometimes called tiling, are noted in many art forms, computer graphics, and in nature.