YOUR PSAT 8/9 STUDY COMPANION
PSAT 8/9 Math Flashcards (Free Online: Formulas, Terms & Concepts)
PSAT 8/9 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.
PSAT 8/9 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 PSAT 8/9 Math review
Lock in every key PSAT 8/9 Math formula, term, and concept with a free, interactive flashcard deck covering numbers and operations, fractions and decimals, percent, ratios and proportions, exponents and roots, algebra, linear equations, quadratics, functions, geometry, coordinate geometry, trigonometry, statistics and probability.
A reference sheet is provided; instant recall still wins on time. 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.
84flashcards
14topics covered
51formula cards
Freeonline, progress saved
What These PSAT 8/9 Math Flashcards Cover
This free deck collects the formulas, key terms, and concepts students use across the whole PSAT 8/9 Math course, organized into 14 topics. Use the dropdown to study one topic at a time, or shuffle the full deck for mixed review before a test.
| Topic | Cards | What students review |
|---|---|---|
| Numbers & Operations | 7 cards | Integers, order of operations, factors, primes, GCF and LCM. |
| Fractions & Decimals | 5 cards | Add or subtract fractions, Multiply fractions, Divide fractions, Convert a fraction to a decimal. |
| Percent | 6 cards | Percent of a number, What percent is one number of another, Percent change, Find the original after a percent change. |
| Ratios & Proportions | 5 cards | Ratios, proportions, unit conversion, simple interest, average speed. |
| Exponents & Roots | 7 cards | Exponent rules, square roots, radicals, scientific notation. |
| Algebra | 6 cards | Equations, like terms, FOIL, factoring, the quadratic formula, inequalities. |
| Linear Equations | 6 cards | Slope between two points, Slope-intercept form, Point-slope form, Standard form of a line. |
| Quadratics | 5 cards | Quadratic formula, Discriminant & what it tells you, Vertex of a parabola y = ax squared + bx + c, Vertex form. |
| Functions | 4 cards | Function notation, domain and range, composition, inverses, transformations. |
| Geometry | 13 cards | Area, perimeter, volume, the Pythagorean theorem, angle rules. |
| Coordinate Geometry | 3 cards | Slope, line equations, distance and midpoint, parallel and perpendicular. |
| Trigonometry | 8 cards | Sine, cosine, tangent, the unit circle, special triangles. |
| Statistics & Probability | 5 cards | Mean (average), Median, mode, range, Probability of an event, Probability of independent events (both). |
| Test Facts | 4 cards | Test format, question types, and calculator policy. |
Jump to a Topic
Numbers & OperationsFractions & DecimalsPercentRatios & ProportionsExponents & RootsAlgebraLinear EquationsQuadraticsFunctionsGeometryCoordinate GeometryTrigonometryStatistics & ProbabilityTest Facts
Numbers & Operations
7 cards. Integers, real numbers, order of operations, factors and primes, GCF and LCM, and the distributive property.
Fractions & Decimals
5 cards. This topic covers Add or subtract fractions, Multiply fractions, Divide fractions, Convert a fraction to a decimal, and Convert a fraction to a percent.
Percent
6 cards. This topic covers Percent of a number, What percent is one number of another, Percent change, Find the original after a percent change, Simple interest, and Compound interest.
Ratios & Proportions
5 cards. Ratios, proportions, unit conversions, simple interest, and average speed.
Exponents & Roots
7 cards. The exponent rules, including product, quotient, power, zero, negative, and fractional exponents, plus square roots, simplifying radicals, and scientific notation.
Algebra
6 cards. Variables and expressions, solving one and two step equations, combining like terms, FOIL and special products, factoring, the quadratic formula, systems, and inequalities.
Linear Equations
6 cards. This topic covers Slope between two points, Slope-intercept form, Point-slope form, Standard form of a line, Parallel vs perpendicular slopes, and Solve a system of equations.
Quadratics
5 cards. This topic covers Quadratic formula, Discriminant & what it tells you, Vertex of a parabola y = ax squared + bx + c, Vertex form, and Zero-product property.
Functions
4 cards. Function notation and evaluation, domain and range, composition, inverses, and transformations of graphs.
Geometry
13 cards. Area, perimeter, and volume formulas for common shapes, the Pythagorean theorem and triples, angle rules, and polygon interior angles.
Coordinate Geometry
3 cards. Slope, slope-intercept and point-slope form, the distance and midpoint formulas, and parallel and perpendicular lines.
Trigonometry
8 cards. The sine, cosine, and tangent ratios, the unit circle, special right triangles, and basic trig identities.
Statistics & Probability
5 cards. This topic covers Mean (average), Median, mode, range, Probability of an event, Probability of independent events (both), and Mean vs median, which to use.
Test Facts
4 cards. Quick facts about the PSAT 8/9 Math test, the math question types, and the calculator policy.
How to Use These PSAT 8/9 Math Flashcards
1
Pick one topic
Use the topic dropdown instead of facing all 84 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.
PSAT 8/9 Math for Beginners: The Ultimate Step by Step Guide to Preparing for the PSAT 8/9 Math Test
Recommended when a student needs more than flashcards: a step-by-step PSAT 8/9 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.
- Great for rebuilding weak skills before a test.
Frequently Asked Questions
What is the PSAT 8/9 used for?
The PSAT 8/9 is a starting point for students in grades 8 and 9. It shows which reading, writing and math skills are on track for college readiness and which need work, and many schools use the results to guide course placement. It does not count toward National Merit, so treat it as a low-pressure check that points you to the right flashcard topics.
Is the PSAT 8/9 hard?
It is designed for eighth and ninth graders, so most of the math is algebra, linear equations, ratios, percents and basic geometry rather than advanced topics. Some later questions are challenging, especially word problems with several steps. Students who are comfortable with pre-algebra and Algebra 1 usually find it manageable, and reviewing formulas ahead of time removes much of the stress.
Is the PSAT 8/9 online?
Yes. The PSAT 8/9 is a digital test taken on a laptop or tablet using the College Board’s Bluebook app, but it is given at school with a proctor, not at home. A graphing calculator is built into the app and a reference sheet is available during Math, so practicing on screen beforehand helps you feel ready on test day.
Is the PSAT 8/9 mandatory?
No national rule requires it. Whether you take the PSAT 8/9 depends on your school or district; some give it to every eighth or ninth grader, while others make it optional. Ask your school counselor. If your school offers it, it is a useful no-stakes way to see where your math stands before the PSAT/NMSQT and SAT.
How do you prepare for the PSAT 8/9?
Start with the topics younger students miss most: fractions, percents, ratios, linear equations and solving for a variable. Review a few flashcard topics each day, then try a short set of practice questions on the same skill. A week or two before the test, take a full practice test on screen so the timing and the built-in calculator feel familiar.
Is there a PSAT 8/9 math practice test with answers?
Yes. The PSAT 8/9 Math hub links practice tests and worksheets with answer keys, alongside these flashcards. After you finish a set, check each wrong answer and find the flashcard behind it, for example the slope formula or percent of a number. Writing a one-line note on why you missed it makes the same mistake less likely next time.
Explore more free review tools in our math flashcards hub.
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