The FTCE Mathematics 6-12 subject examination consists of 75 multiple-choice questions with a time limit of 2 hours and 30 minutes. Question formats will include graphics, direct question, command, selection, sentence completion, word problem, proofs, and scenario. 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 13 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 algebra; advanced algebra; functions; geometry; coordinate geometry; trigonometry; statistics and probability; calculus; mathematical reasoning; and instruction and assessment.

Candidates will have 2.5 hours to complete the exam. Because the number of questions and correct answers needed to pass the examination may vary slightly from one form of the test to another, the Florida Department of Education provides only general guidelines about how many questions must be answered correctly in order to pass. Scores will be available between two weeks and 30 days after the test date.

## FTCE Mathematics 6-12 Exam Practice Questions

**1. Finding the components of vectors for vector addition involves forming a right triangle from each vector and using the standard ________________.**

A. component calculation

B. polar form

C. triangle trigonometry

D. scalar production

**2. An icosagon polygon has how many sides?**

A. 12

B. 20

C. 11

D. Any

**3. Consider the sentence “The early bird gets the worm.” Which is an example of a contropositive statement?**

A. If the bird arrives early, then it gets the worm.

B. If the worm is to be eaten, then the bird is to arrive early.

C. If the bird does not arrive early, then it will not get the worm.

D. If the worm didn’t get eaten, then the bird did not arrive early.

**4. Consider this statement: “I received a present this year for my birthday. I’d received presents every year on my birthday before that. Therefore, I will always receive a present on my birthday.” The conclusion is an example of:**

A. inductive reasoning

B. deductive reasoning

C. abductive reasoning

D. a combination of all three types of reasoning

## Answer Key

1. C

2. B

3. D

4. A