FTCE General Knowledge Mathematics Online Center
This FTCE General Knowledge Mathematics Online Center brings together practice, lessons, worksheets, flashcards and review tools. Choose the resource that matches the skill you want to work on next.
FTCE General Knowledge Mathematics Practice Center
Take a full 100-minute form under real conditions, then read the explanation under every question you missed. The explanations name the specific mistake behind each wrong choice, which is usually more useful than the correct answer on its own.
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FTCE General Knowledge Mathematics at a glance
This is the math quarter of the General Knowledge Test. Nothing on it goes past first-year algebra and basic geometry, and there is no trigonometry or calculus. What makes it hard is breadth under a clock: 45 questions drawn from arithmetic, algebra, geometry, and data, with about two minutes each and an on-screen four-function calculator that will not do the thinking for you.
| Subtest code | 828 (Mathematics) |
|---|---|
| Part of | The FTCE General Knowledge Test, test code 082, along with English Language Skills (826), Essay (825), and Reading (827). All four subtests must be passed to pass the GK Test. |
| Number of questions | Approximately 45 multiple-choice questions |
| Answer options | Four per question |
| Time limit | 100 minutes |
| Calculator | An on-screen four-function calculator is provided. You do not bring your own. |
| Format | Computer-based. Items appear as direct questions, word problems, scenarios, command items, and questions built on a table, graph, or described figure. |
| Passing score | A scaled score of at least 200. This threshold took effect January 1, 2025. |
Florida does not publish how many questions come from each competency on this subtest, and the percentage breakdowns floating around in commercial study guides contradict one another. Treat all four competencies as fully testable and spend your study time where your practice scores say you are weakest.
The four competencies, in plain language
The official list is organized as four competencies. Here is what each one actually asks you to do.
Competency 1: Number sense, concepts, and operations
Can you handle real numbers and everyday quantities without a scientific calculator?
- Compare and order fractions, decimals, percents, and scientific notation
- Apply the order of operations and the properties of operations
- Solve money problems: discount, markup, tax, tip, simple interest
- Use ratios, rates, proportions, and unit rates
- Work with exponents, roots, factors, multiples, GCF, and LCM
- Estimate and judge whether an answer is reasonable
Competency 2: Geometry and measurement
Can you get from a described figure to a number?
- Classify two-dimensional and three-dimensional figures by their properties
- Use angle relationships, including parallel lines cut by a transversal
- Apply the Pythagorean theorem, similarity, and congruence
- Find perimeter, circumference, area, surface area, and volume
- Choose units, convert between them, and reason about precision
- Handle scale drawings and indirect measurement
Competency 3: Algebraic thinking and the coordinate plane
Can you turn a situation into an equation and then read the answer back into the situation?
- Translate words into expressions, equations, and inequalities
- Simplify and evaluate expressions, including polynomials
- Solve linear equations, inequalities, and systems of two equations
- Decide whether two expressions or equations are equivalent
- Interpret slope and intercepts; use midpoint and distance
- Read function notation and tell linear from quadratic from exponential
Competency 4: Probability, statistics, and data interpretation
Can you read a display honestly and say what it does and does not support?
- Interpret tables, bar graphs, histograms, line graphs, circle graphs, scatter plots, and box plots
- Compute and compare mean, median, mode, and range, including the effect of outliers
- Describe center and spread and compare two distributions
- Find probabilities of simple, compound, independent, and dependent events
- Use the counting principle, permutations, and combinations
- Spot a conclusion the data does not support, including misleading scales
A study routine that fits 100 minutes of testing
Two minutes per question is enough time to work a problem and not enough time to rediscover a formula you half remember. The whole job between now and test day is moving formulas from things you can look up to things you can state.
Complete lesson map
Seventy-four lessons, grouped the way the topics cluster on the subtest. Each one opens in a new tab so you can keep this page open while you work.
Fractions, Decimals, and Factors
Real Numbers and Integers
Ratios, Proportions, and Percent
Algebraic Expressions
Equations and Inequalities
Lines and the Coordinate Plane
Exponents and Radicals
Polynomials
Functions
Geometry and Measurement
Statistics and Probability
Before test day
Two things decide this subtest. The first is whether the formulas are in your head rather than on a sheet, because 100 minutes for 45 questions leaves no room to reconstruct them. The second is whether you read the question all the way to the end: a large share of missed items on this subtest are correct arithmetic answering a slightly different question. Work the problem, then check the choices against what was actually asked.
A USEFUL NEXT STEP
FTCE General Knowledge Mathematics: study questions
What can I study in this FTCE General Knowledge Mathematics Online Center?
This FTCE General Knowledge Mathematics Online Center includes practice, lessons, worksheets, flashcards and review tools. Topics on the page include Competency 1: Number sense, concepts, and operations, Competency 2: Geometry and measurement, Competency 3: Algebraic thinking and the coordinate plane.
How should I use the FTCE General Knowledge Mathematics resources?
Choose a topic or practice activity from this Online Center. Review the linked explanation, try the practice, and use the result to decide what to study next. Check each resource’s directions for its format and access requirements.
Resources from Effortless Math · Editorial standards