UUS Practice Tests⌕ Search
Teacher Certification

Florida Mathematics 6–12 Practice Test

Florida Mathematics 6–12 practice addresses mathematical reasoning and procedures used in secondary-level instruction. The available questions sample algebra, functions, inequalities, coordinate geometry, probability, statistics, percent applications, rational expressions, and measurement. Tasks include calculating slope, interpreting weighted data, solving equations, and applying geometric formulas to numerical problems.

Exam overview

Exam providerFlorida Department of Education
Exam codeNot listed
CategoryTeacher Certification

About the Florida Mathematics 6–12 Exam

Strong mathematics work depends on selecting a method that fits the structure of a problem, carrying out calculations accurately, and checking whether an answer is reasonable. Algebra questions call for manipulating expressions and inequalities, identifying inverse functions, and recognizing values excluded from a rational expression’s domain. Coordinate geometry requires using ordered pairs to determine a line’s slope, while probability problems distinguish single events from selections made without replacement. Statistics questions involve weighting observations by their frequencies. Applied problems may require calculating percent discounts or choosing a formula for perimeter or volume. For secondary mathematics teaching, these skills support explaining procedures, connecting symbolic representations to contexts, and identifying where a student’s reasoning or computation has gone astray.

Sample Practice Questions

Review a selection from this exam's published US Practice Tests practice bank.

Question 1

A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?

  1. A1/6
  2. B1/3
  3. C1/2
  4. D2/3
Show answerCorrect answer: B

The outcomes greater than 4 are 5 and 6, giving 2 favorable outcomes out of 6 equally likely outcomes. Thus the probability is 2/6 = 1/3.

Question 2

Which equation is the inverse of f(x) = 3x − 8?

  1. Af⁻¹(x) = 3x + 8
  2. Bf⁻¹(x) = (x − 8)/3
  3. Cf⁻¹(x) = (x + 8)/3
  4. Df⁻¹(x) = 8 − 3x
Show answerCorrect answer: C

Write y = 3x − 8, interchange x and y, and solve: x = 3y − 8, so y = (x + 8)/3.

Question 3

A box contains 4 tiles labeled 1, 2, 3, and 4. Two tiles are selected at random without replacement. What is the probability that both selected tiles are even?

  1. A1/6
  2. B1/4
  3. C1/3
  4. D1/2
Show answerCorrect answer: A

There are two even tiles. The probability the first tile is even is 2/4, and then the probability the second is even is 1/3. Thus the probability is (2/4)(1/3) = 1/6.

Question 4

A jacket originally costs $80 and is discounted by 25%. What is its price after the discount, before tax?

  1. A$20
  2. B$55
  3. C$60
  4. D$75
Show answerCorrect answer: C

The discount is 0.25 × $80 = $20. Subtracting the discount from the original price gives $80 − $20 = $60.

Question 5

Solve the inequality 5 − 2x > 11.

  1. Ax > −3
  2. Bx < −3
  3. Cx > 3
  4. Dx < 3
Show answerCorrect answer: B

Subtract 5 from both sides to get −2x > 6. Dividing by −2 reverses the inequality, giving x < −3.

Question 6

A line passes through (2, 5) and (6, 13). What is its slope?

  1. A1
  2. B2
  3. C3
  4. D4
Show answerCorrect answer: B

The slope is the change in y divided by the change in x: (13 − 5)/(6 − 2) = 8/4 = 2.

Question 7

The values 2, 4, 6, and 8 have frequencies 1, 2, 1, and 1, respectively. What is the weighted mean of the data?

  1. A4
  2. B4.5
  3. C5
  4. D5.5
Show answerCorrect answer: B

The total of the observations is 2(1) + 4(2) + 6(1) + 8(1) = 24, and the total frequency is 5. The mean is 24/5 = 4.8.

How to use this practice test

Access the free practice bank for up to 20 randomly selected questions per session; 50 questions are published for this exam. Work through the problems, then use the session results to identify areas for further practice, such as function operations, probability, or geometry calculations.

Preparation tips

  • For linear functions, practice finding slope from two ordered pairs and checking inverse functions by composing them with the original function.
  • Solve inequalities with negative coefficients carefully, reversing the inequality sign when dividing or multiplying by a negative number.
  • For probability without replacement, update the available outcomes after the first selection before calculating the next probability.
  • Distinguish a weighted mean from an ordinary mean by multiplying each value by its frequency and dividing by the total frequency.
  • Review when to use perimeter, area, and volume formulas, and verify that each formula matches the dimensions given.
Official sourceOfficial exam page ↗