FTCE Math 6-12 Practice Test & Study Guide

What Is the Florida Teacher Certification Math 6-12 Exam?

The Florida Teacher Certification Math 6-12 Exam is a certification exam for aspiring educators to teach mathematics for grades 6-12 in Florida. The FTCE Math 6-12 is one of four FTCE tests administered and is a subtest of the Subject Area Examinations (SAE) test category. The Florida Department of Education approved this FTCE subject area exam which seeks to measure a candidate's knowledge of mathematics concepts and their professional readiness to teach in the Florida school systems.

A computer-based test (CBT) administers the exam. Candidates coming from teaching programs approved by a state or those in programs not approved by a state may sit for the exam. The FTCE exam is open for all to take at designated FTCE testing locations; however, there are educational requirements for certification that examinees need to be aware of when applying. The FTCE retake policy sets no limit to the number of times candidates can sit for the exam.

Practice tests give you a better idea of the topics you have mastered and those you should keep studying.

FTCE Math 6-12 Exam Content

The Florida Math 6-12 exam has ten competency areas that examinees will need to study, including one instructional-related section. Each one varies in percentage in the test overall. These are:

  1. Algebra (13%)
  2. Advanced Algebra (12%)
  3. Functions (8%)
  4. Geometry (15%)
  5. Coordinate Geometry (6%)
  6. Trigonometry (7%)
  7. Statistics and Probability (10%)
  8. Calculus (9%)
  9. Mathematical Reasoning (5%)
  10. Instruction and Assessment (15%)

Each competency in the FTCE Math 6-12 will test various areas of math knowledge such as linear algebra equations in Algebra, binomials in Advanced Algebra, a graph of functions in Functions, triangle relationships in Geometry, the midpoint of lines in Coordinate Geometry, sine and cosine in Trigonometry, probability and quantitative variables in statistics and probability, derivatives in Calculus, proofs in Mathematical Reasoning, and assessments in Instruction and Assessment. This list is not exhaustive as each of the FTCE competencies in the Florida 6-12 Math Certification exam tests a number of skills.

How to Prepare for Florida Teacher Certification Math 6-12 Test

Showing up on exam day unprepared lowers the chances of achieving higher FTCE scores on the FTCE Math 6-12 exam. Candidates can follow these steps:

  • Establish an order of operations

Examinees can organize the content areas by difficulty as well as their total test percentage. For example, if a candidate has challenges with geometry concepts, which makes up of the higher percentages at 15%, they should rank that high on the study list. Taking an FTCE practice test, such as an FTCE Math 6-12 practice test, can help to assess where any knowledge gaps occur and where to prioritize study.

  • Use a successful study technique

A well-known study technique is called the PQ4R or Preview, Question, Read, Reflect, Recite, Review. This technique requires that students skim the header sections of study book materials, jot down questions while studying, read the materials thoroughly, reflect on the reading, and relate the content to real-life situations. Students continue to recite to see if they can answer the questions they jotted down.

  • Time management

Time management for proper FTCE prep is purposefully setting aside a few hours each day for a particular task. Even a few hours per week, months in advance of test day make a difference in success. A digital or physical planner can keep track of schedules for the day, week, and month. Intentionally write down each task by the hour to make it possible to study for the exam each day.

  • Get adequate rest

Anticipating the Florida Teacher Certification Math 6-12 exam can unsettle nerves on test day, but candidates should try to prioritize sleep to help retain the information they take in. Remembering facts is not enough; applying the knowledge learned is essential.

FTCE Math 6-12 Exam Format

The Florida Teacher Certification Math 6-12 exam is a computer-based test (CBT) consisting of 70 multiple-choice questions to be taken in 2 and half hours (150 minutes), which includes any breaks taken. The competencies contain a multitude of math calculations needed for the test, thus, a Texas Instruments TI-30X IIS scientific calculator will be available for students at the exam center. Examinees are not permitted to bring their own calculators.

The exam covers several question types such as word problems, selecting the correct answer, choosing the best solution, questions based on a sample illustration, etc. Test-takers can make use of an FTCE practice test to practice answering these types of questions.

FTCE Math 6-12 Study Guide

Students are encouraged to create study guides for the FTCE Math 6-12 exam. Here is a sample:


  • Use variables in linear equations
  • Answer quadratic equations using various methods
  • Practice real number properties
  • For a line, find intercept, slope, and equation
  • Solve radical expressions and absolute value

Advanced Algebra

  • Execute compound arithmetic operations and vectors on a plane
  • Clarify polynomial equations and equations using logarithms, powers, radicals, and exponents
  • Practice discrete structures and algebraic depictions
  • Resolve geometric and arithmetic sequences
  • Detail algebraic and graphical depictions in nonlinear equalities
  • Expand binomials


  • Resolve function relations, its range and domain, and inverse
  • Resolve transformed functions of an equation or graphical form
  • Confirm if a function is even or odd, periodic or symmetric
  • Detail equations and graphs of functions


  • Resolve the link between planes, points, and lines
  • Given similar figures, describe the association for volume, perimeter, and area
  • Understand solids and geometric figures
  • Explain quadrilateral properties, polygons, solids, inscribed angles, chords, tangents, secants
  • Implement Pythagorean theorem, triangle relationships
  • Implement theorems of links among radii, diameters, secants, tangents, and chords and their connections to circles
  • Practice complex polygons
  • Write formulas for two-dimensional figures and spheres, cylinders, cones, pyramids, and prisms
  • Evaluate geometric constructions

Coordinate Geometry

  • Study midpoint or distance formulas
  • Resolve equations for a conic section, circle, center, radius, graph, parabolas, hyperbolas, ellipses, foci, vertices, asymptotes, and axes
  • Analyze objects in a coordinate plane


  • Resolve equations for periodic phenomenon
  • Resolve, prove, and analyze graphs of circular/trigonometric functions
  • Study law of sines and cosines involving triangles

Statistics and Probability

  • Clarify statistical analysis of a variable
  • Interpret various graphical representations of data
  • Analyze the methods of statistical experiments to determine possible bias
  • Confirm evidence from experimental data, observational studies, and sample surveys
  • Study the Fundamental Counting Principle
  • Resolve the probabilities of events using various procedures
  • Study use of expected value


  • Analyze limits, derivatives, the slope of a tangent, and antiderivatives
  • Find first and second derivatives of functions
  • Answer equations for velocity and acceleration and rates of change
  • Study integration
  • Find a link between derivatives and functions in graphical representation

Mathematical Reasoning

  • Assess arguments or conjectures
  • Identify conditional statements and proofs
  • Categorize deductive and inductive reasoning

Instruction and Assessment

  • Evaluate misconceptions of mathematical concepts among students and create methods for enhancement
  • Evaluate an instructional segment for available resources
  • Analyze assessment methods that measure procedural understanding
  • Analyze strategies for teaching problem-solving techniques
  • Given a math concept, identify effective lesson planning
  • Assess gaps in student knowledge and provide feedback
  • Expand on models for mathematical concepts
  • Understand educational setting to determine alternative ways to assess the performance

FTCE Math 6-12 Practice Test for Math Teachers

Examinees can benefit from taking an FTCE Math 6-12 practice test once or even several times before their FTCE test dates to adjust their study guides so they can focus on weaker areas and familiarize themselves with the question format and timing. Candidates can adjust their own pace to make sure they can get through all of the questions in the time allotted on the real FTCE test.

Candidates coming from a college program can consult with faculty to point them in the direction of effective test prep materials. Candidates who are not in a college program or who already have a baccalaureate degree have the option to locate an Educator Preparation Institute (EPI) to take test prep courses (including a math teacher certification practice test) to obtain certification. Test prep materials allow examinees to get used to the testing format and the skills they need to learn.

Passing Scores on the Florida 6-12 Math Certification Exam

All FTCE tests and subtests are PASS or NOT PASS. Candidates' FTCE scores on the FTCE Math 6-12 exam must meet a minimum scaled score of 200, which equates to about 67% of the test questions (raw score). Candidates must pass all the subtests taken. If candidates fail a subtest exam, they can pay for the FTCE retake fee to be eligible for a retake after 31 days. A PENDING score indicates that the test could be delayed or unavailable. In this instance, scores will become available once a human evaluator scores the test.

Frequently Asked Questions

  • How many questions are on the FTCE Math exam?

    There are 75 multiple-choice questions in total on the FTCE Math exam. This means a minimum of 50 questions must be answered correctly to pass the exam.

  • Can you use a calculator on the FTCE Math?

    Students may not bring their own calculators to the exam. However, a calculator will be provided by the testing center on test day.

  • Is the FTCE Math 6-12 hard?

    Generally, the FTCE maths exam is considered pretty difficult, having only slightly above a 50% yearly first try pass rate. However, students experience success with adequate preparation.


Take a FTCE Mathematics 6-12 Practice Test Online

Exam Instructions:

Complete the practice test below to test your knowledge of FTCE Mathematics 6-12.
Choose your answers below. Complete the 15 questions then click "See Results."

You have answered 0 out of 15 correctly.

The correct answers are highlighted with green below. Create an account to study for FTCE Mathematics 6-12.

Sign Up
  1. What is the simplified form for the following radical expression if the denominator is rationalized?

    {eq}\dfrac{-4\sqrt{7}}{\sqrt{8}} {/eq}

    • Correct Answer
  2. Which law is shown by the following.

    {eq}2+7=7+2 {/eq}

    • Correct Answer
  3. What is the quotient for the following complex number?

    {eq}\dfrac{2 + 3i}{4 - 2i} {/eq}

    • Correct Answer
  4. A teacher is about to explain the solution to a problem that requires the students to identify the cheapest option among different payment options in purchasing a car. Which of the following options will be easiest for students to process?

    • Correct Answer
  5. The triangle MNP represents the triangle ABC rotated by 180 degrees about the origin. What are the coordinates of the points M,N, and P?

    • Correct Answer
  6. What is the solution for x in the following rational equation?

    {eq}\dfrac{5}{x - 3} = \dfrac{3}{x + 5} {/eq}

    • Correct Answer
  7. What is the inequality for the shaded region and line in the graph?

    • Correct Answer
  8. A cake recipe requires 2 cups of butter for each 3 cups of flour. If you want to prepare the cake and you have 15 cups of flour available, how many cups of butter will you require?

    • Correct Answer
  9. The points P with the y-coordinate of - 5 whose distance from the point Q = (2, - 1) is equal to 5 are

    • Correct Answer
  10. Find the value of x.

    • Correct Answer
  11. Find the value of the obtuse angle in the diagram shown below?

    • Correct Answer
  12. A certain particle accelerates from its resting position and reaches a maximum velocity of 20m/s within three seconds. Then, it travels at a constant velocity of 20m/s for the next six seconds and finally decelerates constantly to its rest position within the next two seconds. This information is shown in the graph below.

    Calculate the total distance traveled by the particle.

    • Correct Answer
  13. Using the data set below, showing how many times a week 15 people ate lunch, what is the median of the sample?

    Lunches per week

    Data set for how many times people ate lunch in the past week

    • Correct Answer
  14. Evaluate {eq}3 - |-4| - 9 + |10| {/eq}

    • Correct Answer
  15. What is the sum of the first five terms of the sequence {eq}2, 2^2, 2^3, 2^4, \ldots {/eq}?

    • Correct Answer