Free Practice Questions for FTCE Middle Grades Math 5-9 (025)

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Key Facts: FTCE Middle Grades Math 5-9 (025) Exam

025

Test Code

Florida DOE / Pearson

~50

Multiple-Choice Questions

FTCE 025 Test Page

200

Passing Scaled Score

Florida DOE

2h 30m

Time Limit

FTCE 025 Test Page

$150

Exam Fee Per Attempt

Pearson (2026)

Tested Competencies

FTCE 025 Competencies and Skills

30%

Algebra, the Heaviest Competency

FTCE 025 Blueprint

Sample FTCE Middle Grades Math 5-9 (025) Practice Questions

Try these sample questions to review concepts for the FTCE Middle Grades Math 5-9 (025) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 109+ question experience with AI tutoring.

1A teacher poses a problem with no obvious solution path. Which step in Polya's four-step problem-solving framework comes immediately after understanding the problem?

A.Devise a plan

B.Look back and check

C.Carry out the plan

D.Restate the question

Explanation: Polya's four phases are: understand the problem, devise a plan, carry out the plan, and look back. After understanding, students plan a strategy before executing it. This sequence is central to the Problem-Solving and Reasoning competency.

2Which statement is the contrapositive of "If a number is divisible by 6, then it is divisible by 3"?

A.If a number is not divisible by 3, then it is not divisible by 6

B.If a number is divisible by 3, then it is divisible by 6

C.If a number is not divisible by 6, then it is not divisible by 3

D.If a number is divisible by 6, then it is not divisible by 3

Explanation: The contrapositive of "if p then q" is "if not q then not p," and it is logically equivalent to the original. Here p is divisible by 6 and q is divisible by 3, so the contrapositive is "if not divisible by 3, then not divisible by 6."

3A train travels 180 miles in 3 hours, then 220 miles in 4 hours. What is the train's average speed for the entire trip?

A.About 57.1 mph

B.60 mph

C.55 mph

D.62.5 mph

Explanation: Average speed is total distance divided by total time. The train covers 180 + 220 = 400 miles in 3 + 4 = 7 hours, giving 400/7 which is about 57.1 mph. Averaging the two separate speeds would be incorrect.

4A student estimates that 48 x 52 is approximately 2,500. Which reasoning best justifies this estimate?

A.Both factors are close to 50, and 50 x 50 = 2,500

B.48 rounds to 50 and 52 rounds to 60

C.The product must end in zero

D.48 x 52 equals exactly 2,500

Explanation: Estimating by rounding both numbers to the nearest convenient value, 50, gives 50 x 50 = 2,500. This benchmark reasoning is a key estimation strategy. The exact product is 2,496, very close to the estimate.

5Which problem-solving strategy is most appropriate for finding the number of diagonals in a polygon with many sides?

A.Find a pattern using simpler polygons first

B.Guess and check a single answer

C.Draw all diagonals by hand for the large polygon

D.Measure the angles with a protractor

Explanation: Solving simpler related cases (triangle, quadrilateral, pentagon) reveals the pattern n(n-3)/2 for the number of diagonals. Looking for patterns and generalizing is an efficient strategy for nonroutine counting problems.

6If the pattern 2, 6, 12, 20, 30, ... continues, what is the rule for the nth term?

A.n(n+1)

B.2n + 2

C.n squared + 1

D.3n - 1

Explanation: The terms are 1x2, 2x3, 3x4, 4x5, 5x6, which equals n(n+1). Checking n=4 gives 4x5 = 20, matching the sequence. Recognizing this product pattern is inductive reasoning.

7A counterexample to the claim "all prime numbers are odd" is which number?

A.2

B.9

C.15

D.1

Explanation: The number 2 is prime because its only divisors are 1 and itself, yet it is even. A single counterexample disproves a universal claim. This demonstrates the role of counterexamples in mathematical reasoning.

8A recipe for 12 cookies uses 3/4 cup of sugar. How much sugar is needed for 30 cookies?

A.1 7/8 cups

B.1 1/2 cups

C.2 1/4 cups

D.1 3/4 cups

Explanation: Set up the proportion 3/4 divided by 12 equals x divided by 30. Sugar per cookie is 3/4 divided by 12 = 1/16 cup. For 30 cookies, 30 x 1/16 = 30/16 = 1 7/8 cups. Proportional reasoning solves the scaling.

9Which of the following correctly orders these numbers from least to greatest: 0.7, 3/5, 0.65, 2/3?

A.3/5, 0.65, 2/3, 0.7

B.0.65, 3/5, 0.7, 2/3

C.2/3, 0.65, 3/5, 0.7

D.3/5, 2/3, 0.65, 0.7

Explanation: Convert all to decimals: 3/5 = 0.6, 0.65, 2/3 is about 0.667, and 0.7. Ordered from least to greatest: 0.6, 0.65, 0.667, 0.7, which is 3/5, 0.65, 2/3, 0.7. Converting to a common form enables comparison.

10A shirt originally priced at $40 is discounted 25%, then an additional 10% is taken off the sale price. What is the final price?

A.$27.00

B.$26.00

C.$28.00

D.$25.00

Explanation: First discount: $40 x 0.75 = $30. Second discount: $30 x 0.90 = $27. Successive percentage discounts multiply rather than add, so the total discount is not simply 35%.

About the FTCE Middle Grades Math 5-9 (025) Exam

The FTCE Middle Grades Mathematics 5-9 (025) is the Florida subject area exam for certifying middle school math teachers. It contains approximately 50 multiple-choice questions spanning 5 competencies in math content and teaching practice, with no reference sheet provided.

Exam sponsor: Florida DOE / Pearson VUE. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

50 questions

Time Limit

2 hours 30 minutes

Passing Score

Scaled score of at least 200

Exam / Certification Fees

$150 per attempt

Exam sponsor website

Reported exam pass rate: Moderate difficulty. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

30%

Algebra

Patterns and functions

20%

Geometry

Classifying figures and solids

20%

Student Reasoning and Instructional Practice

Modeling real-world contexts across subject areas

15%

Number Sense, Operations, and Proportionality

Comparing and converting rational numbers

15%

Data Analysis, Statistics, and Probability

Measures of center and variation

Preparing for the FTCE Middle Grades Math 5-9 (025) Exam

What You Need to Know

Passing score: Scaled score of at least 200
Exam length: 50 questions
Time limit: 2 hours 30 minutes
Exam / certification fees: $150 per attempt Official sources

Using Our Practice Resources

Work through all 109 available questions
Review every answer and explanation
Track weak areas and revisit them
Use our AI tutor for tough concepts

FTCE Middle Grades Math 5-9 (025): Suggested Study Strategy

1Prioritize algebra and geometry, which together make up 50% of the test

2Memorize every area, volume, surface area, slope, and circle formula because no reference sheet is provided

3Practice with an on-screen scientific calculator, since graphing calculators are not permitted

4Solve quadratics by factoring, the quadratic formula, and completing the square, all three of which are named in the blueprint

5Distinguish constant-amount change (linear) from constant-percent change (exponential) in word problems

6Learn the concrete-representational-abstract progression and the common middle-grades misconceptions for the pedagogy items

Frequently Asked Questions

What is the passing score for the FTCE Middle Grades Mathematics 5-9 (025)?

You must earn a scaled score of at least 200, which corresponds to answering roughly 71% of the questions correctly. The exam is pass/fail.

How many questions are on the FTCE 025 exam?

The test has approximately 50 multiple-choice questions, and you have 2 hours and 30 minutes to complete it.

How much does the FTCE Middle Grades Math 5-9 exam cost?

The fee is $150 for the first attempt and for each retake. The test is administered by Pearson at testing centers.

What competencies are tested on the FTCE 025?

Ten competencies are tested, including two-dimensional geometry, foundations of algebra, problem-solving and reasoning, algebraic thinking, number sense, measurement, data and probability, plus teaching competencies in assessment, connections, and instructional technology.

Do I also need the FTCE General Knowledge test?

Yes. The General Knowledge test is required for all Florida educator certificates, in addition to passing this subject area exam to teach middle grades math.

How long should I study for the FTCE 025?

Most candidates study 40 to 80 hours over 6 to 10 weeks, focusing first on the highest-weighted content strands and then on the teaching-practice competencies.

Free Practice Questions for FTCE Middle Grades Math 5-9 (025)

FTCE Middle Grades Mathematics 5-9 (025)

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