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Homeโ€บACT Math Flashcards: 57 Free Formula Cards

ACT Math Flashcards: 57 Free Formula Cards

ACT Math Flashcards โ€” 57 Free Formula Cards | FreeTestPrep.com
Interactive Flashcards โ€” 57 ACT Math Formula Cards
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FreeTestPrep.com  ยท  ACT Math

ACT Math
Flashcards

57 free flashcards covering every formula and concept the ACT tests โ€” organized by category and score range so you study what moves your score.

57
Cards
6
Categories
3
Score Ranges
Free
Always

ACT Math Formulas You Need to Know

The ACT Math section tests 45 questions in 50 minutes across six content areas: Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability, and Integrating Essential Skills. Unlike some standardized tests, the ACT provides no formula sheet โ€” you are expected to have essential formulas memorized before you sit down. That makes formula preparation one of the highest-leverage things you can do to improve your score.

These 57 flashcards cover every formula and concept that appears regularly on the ACT, from foundational topics like slope, the Pythagorean theorem, and percent problems (essential for scores in the 13โ€“23 range) to advanced material like the Law of Sines, Law of Cosines, logarithm rules, and trig identities (required for 33โ€“36). Each card is tagged with a score range so you can prioritize efficiently.

Use the flashcards below to build formula recall, then reinforce that knowledge with timed ACT Math practice drills โ€” 22 drills covering every content area, each with five questions and full explanations. Together these two tools cover everything you need for the ACT Math section.

How to Use These Flashcards

01

Filter by category

Focus on one content area โ€” Algebra, Geometry, Functions, and more โ€” using the category dropdown.

02

Filter by score range

Targeting a 24? Start with low and mid cards. Pushing for 33+? Work through all three levels.

03

Click to flip

See the concept name on the front, then flip for the full formula or rule on the back.

04

Mark what you know

Hit "I know this" to remove mastered cards and keep each session focused.

All 57 Topics Covered

organized by category
Score 13โ€“23 โ€” foundational Score 24โ€“32 โ€” intermediate Score 33โ€“36 โ€” advanced
Number & Quantity
Powers of 10 & Exponents Absolute Value Rational Exponents Complex Numbers
Algebra
Slope of a Line Slope-Intercept Form Point-Slope Form Standard Form of a Line Multiplying Binomials (FOIL) Factoring Quadratics Quadratic Formula Systems of Linear Equations Absolute Value Equations Roots & Radicals Scientific Notation Remainder Theorem
Functions
Function Notation Domain & Range Composite Functions Transformations of Functions Vertex Form of Parabola Rational Function Asymptotes Exponential Functions Sequences Logarithms Unit Circle Trig Trig Identities
Geometry
Area Formulas Parallel Lines & Transversals Pythagorean Theorem 30-60-90 Triangle 45-45-90 Triangle SOH-CAH-TOA Circle Formulas Volume Formulas Surface Area Distance & Midpoint Standard Form of a Circle Parallel & Perpendicular Lines Triangle Properties Similar Figures & Scale Factors Coordinate Reflections & Rotations Law of Sines Law of Cosines Angles, Arcs & Circles
Statistics & Probability
Mean, Median, Mode Basic Probability Weighted Average Standard Deviation Conditional & Joint Probability Permutations Combinations Two-Way Frequency Tables
Applied Math
Percent Problems Rate & Unit Conversion Simple & Compound Interest Multi-Step Percent Problems

Related ACT Math Resources

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Statistics & Probability Drills

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Percent problems, rates, unit conversion, and real-world applications.
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ACT Math Study Strategy

Know your target score first

Filter to your score range before studying anything else. If you're targeting a 24, master the green cards before touching the yellow ones. Every card above your range is bonus territory.

Formulas are the floor, not the ceiling

Memorizing a formula is step one. Recognizing when to apply it on an actual problem is what separates a 26 from a 30. Use the practice drills to build that applied skill.

Short sessions beat marathon cramming

Ten minutes a day for two weeks beats two hours the night before. The "I know this" button shrinks your deck as you improve so each session stays focused.

Geometry rewards memorizers

The 30-60-90, 45-45-90, and SOH-CAH-TOA cards alone can swing your score by 2โ€“3 points. These concepts appear on nearly every ACT administration.

Frequently Asked Questions

The ACT provides no formula sheet, so you must have key formulas memorized before test day. The most important include the Pythagorean theorem, 30-60-90 and 45-45-90 triangle ratios, SOH-CAH-TOA, slope and line equations, the quadratic formula, circle area and circumference, the distance and midpoint formulas, and basic statistics formulas. All 57 flashcards on this page cover exactly these concepts, organized by category and score range.
ACT Math is scored on a scale of 1โ€“36. The section has 45 questions in 50 minutes โ€” about 67 seconds per question. Questions generally increase in difficulty as the section progresses, and there is no penalty for wrong answers, so you should always fill in every bubble even when guessing. Scores of 24โ€“32 are competitive at most colleges, while 33โ€“36 puts you in the top percentiles nationally. See the ACT Math strategy page for a full breakdown of how the section works.
Algebra (linear equations, quadratics, systems) and Geometry (triangles, circles, coordinate geometry) make up the majority of questions. Functions, Statistics and Probability, and Number and Quantity round out the content. The Integrating Essential Skills category covers real-world applications โ€” percent problems, rates, and interest โ€” that appear throughout the section at all difficulty levels.
Yes โ€” a calculator is permitted for the entire ACT Math section. However, many questions are designed so that a calculator is not necessary, and students who reach for the calculator before setting up the problem on paper frequently make input errors. Use it as a tool for arithmetic, not a substitute for understanding what the problem is asking.
Start by using these flashcards to build formula recall, filtered to your target score range. Then apply those formulas in timed ACT Math practice drills organized by topic. Short daily sessions (10โ€“15 minutes) are more effective than infrequent marathon sessions. After each drill, review every explanation โ€” including questions you got right. For comprehensive content review and full-length practice tests, see Barron's ACT Premium Study Guide.