FTCE General Knowledge Math Flashcards: a free, printable set covering the topics you will see on the test, with answer keys included, so you can practice each topic one skill at a time and check your own work before test day.
Free FTCE General Knowledge Math review
Lock in every key FTCE General Knowledge Math formula, term, and concept with a free, interactive flashcard deck covering numbers, fractions and percents, ratios and proportions, exponents and roots, algebra, coordinate geometry, geometry, data and probability.
Each card shows the rule or definition, a short explanation, and many include a quick diagram. Flip a card, filter by topic or card type, shuffle, and mark what you know so the cards you miss come back for review.
What These FTCE General Knowledge Math Flashcards Cover
This free deck collects the formulas, key terms, and concepts students use across the whole FTCE General Knowledge Math course, organized into 9 topics. Use the dropdown to study one topic at a time, or shuffle the full deck for mixed review before a test.
12 cards. Integers, real numbers, absolute value, factors and primes, GCF and LCM, order of operations, the distributive property, and factorials.
Fractions & Percents
8 cards. Converting mixed numbers and improper fractions, adding, subtracting, multiplying and dividing fractions, percent of a number, percent of change, and fraction, decimal, and percent conversions.
Ratios & Proportions
5 cards. Ratios, proportions, unit conversions, simple interest, and average speed.
Exponents & Roots
9 cards. The exponent rules, including product, quotient, power, zero, negative, and fractional exponents, plus square roots, simplifying radicals, and scientific notation.
Algebra
14 cards. Variables and expressions, solving one and two step equations, combining like terms, FOIL and special products, factoring, the quadratic formula, systems, and inequalities.
Coordinate Geometry
6 cards. Slope, slope-intercept and point-slope form, the distance and midpoint formulas, and parallel and perpendicular lines.
Geometry
17 cards. Area, perimeter, and volume formulas for common shapes, the Pythagorean theorem and triples, angle rules, and polygon interior angles.
Data & Probability
8 cards. Mean, median, mode, and range, the probability of an event, the probability of A and B, the counting principle, and finding a missing value from a mean.
Test Facts
4 cards. Quick facts about the FTCE General Knowledge Math test, the math question types, and the calculator policy.
How to Use These FTCE General Knowledge Math Flashcards
1
Pick one topic
Use the topic dropdown instead of facing all 83 cards at once. Start with the topics you find hardest.
2
Flip, then mark
Read the front, say the rule or definition out loud, then flip. Mark Know it only when you can explain it, not just recognize it.
3
Practice right away
After a set, solve a few problems that use those rules. Flashcards build recall; worked practice turns them into test-day tools.
Best Order for Studying
If the deck feels like a lot, study the foundational topics first, such as numbers, fractions and percents, and exponents, then move on to algebra, geometry, and data, and review the test facts last. This moves from the skills every other topic builds on to the ones that appear in specific problem types.
Most Important Formulas and Facts to Know First
Order of operations: the sequence that keeps every calculation consistent.
Exponent rules: product, quotient, power, zero, and negative exponents.
Fraction operations: and converting between fractions, decimals, and percents.
Percent of a number and percent of change: the backbone of word problems.
Slope and slope-intercept form: for reading and writing linear graphs.
Area, perimeter, and volume: the core geometry formulas.
The Pythagorean theorem: for right triangles and distance.
Factoring and the quadratic formula: for solving quadratics.
Mean, median, mode, and range: the four measures that summarize data.
Probability of an event: favorable outcomes over total outcomes.
Common Mistakes These Cards Help Fix
Ignoring order of operations and simply working left to right.
Adding or subtracting fractions without a common denominator.
Confusing area with perimeter, or surface area with volume.
Flipping an inequality sign at the wrong time, instead of only when multiplying or dividing by a negative.
Mixing up mean, median, and mode.
Treating a negative exponent as a negative number instead of a reciprocal.
Applying the Pythagorean theorem to triangles that are not right triangles.
FTCE General Knowledge Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the FTCE Math Test
Recommended when a student needs more than flashcards: a step-by-step FTCE General Knowledge Math study path with lessons, worked examples, and practice to use alongside the deck.
Every topic taught from the ground up, not just listed.
Pairs naturally with these flashcards and the free practice tests.
The FTCE General Knowledge exam is a Florida teacher certification test with four subtests: Essay, English Language Skills, Reading and Mathematics. You can register for subtests separately, and you only retake the ones you have not passed. These flashcards focus on the Mathematics subtest. Check the official FTCE site for current fees, time limits and passing scores.
What is on the FTCE General Knowledge math test?
The FTCE General Knowledge math subtest covers number sense and operations, geometry and measurement, algebraic thinking and the coordinate plane, and probability, statistics and data interpretation. Most questions are word problems, so you need to know which formula fits a situation, such as using the Pythagorean theorem a² + b² = c² to find a missing side.
Is there a free FTCE General Knowledge math practice test?
Yes. Free FTCE General Knowledge math practice tests are available, and they work best after you have reviewed the formulas on these flashcards. Take a practice test under timed conditions, note every question you miss, and go back to the matching flashcard topic, such as percents or data and probability, before trying another test.
Where can I find FTCE General Knowledge math questions and answers?
Look for practice sets that include full worked solutions, not just an answer key. For each FTCE GK math question you miss, read the steps, find the rule you forgot, and review that flashcard. For example, if you missed a percent of change problem, recall the rule: (new − old) ÷ old × 100.
What should an FTCE General Knowledge math study guide include?
A useful FTCE General Knowledge math study guide should cover all four math competencies, explain each formula with examples, and include practice questions with answers. Use the flashcards alongside it for quick daily formula review, and save full-length practice tests for the last weeks so you can check your timing and pacing.
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