YOUR PSAT/NMSQT STUDY COMPANION
PSAT/NMSQT Math Flashcards (Free Online: Formulas, Terms & Concepts)
PSAT/NMSQT 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/NMSQT 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/NMSQT Math review
Lock in every key PSAT/NMSQT 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 strong score can qualify you for National Merit. 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/NMSQT Math Flashcards Cover
This free deck collects the formulas, key terms, and concepts students use across the whole PSAT/NMSQT 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/NMSQT Math test, the math question types, and the calculator policy.
How to Use These PSAT/NMSQT 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.
Frequently Asked Questions
What is the PSAT/NMSQT exam?
The PSAT/NMSQT is the Preliminary SAT/National Merit Scholarship Qualifying Test, a digital exam given in the fall, mostly to high school juniors. It has a Reading and Writing section and a Math section, and juniors’ scores are used to screen for the National Merit Scholarship Program. It is also a practice run for the SAT, with the same question styles.
What is the difference between the PSAT/NMSQT and PSAT 10?
The two tests have the same format, content and scoring. The main difference is timing and purpose: the PSAT/NMSQT is given in the fall and is the test juniors take to enter the National Merit Scholarship Program, while the PSAT 10 is offered in the spring, usually to sophomores, and does not count toward National Merit.
Is the PSAT/NMSQT the same as the SAT?
No, but they are closely related. The PSAT/NMSQT uses the same digital format and question types as the SAT, yet it is slightly shorter and a bit less difficult. PSAT/NMSQT scores range from 320 to 1520, compared with 400 to 1600 on the SAT, so the PSAT is a useful preview of what SAT Math will feel like.
Is the PSAT/NMSQT easier than the SAT?
Yes, a little. The PSAT/NMSQT tests the same skills, but its hardest questions are not as hard as the SAT’s top-level questions, and its score scale tops out at 1520 instead of 1600. Most of the math is algebra, linear equations, functions, percents and data analysis, plus some geometry and trigonometry, so mastering those flashcards prepares you for both tests.
What math topics are on the PSAT/NMSQT?
PSAT/NMSQT Math focuses on algebra (linear equations and systems), advanced math (quadratics, exponents and nonlinear functions), problem solving and data analysis (ratios, percents, statistics and probability), and geometry and trigonometry. The Math section has two modules, and a calculator is allowed on every question, though knowing formulas and shortcuts still saves time.
What formulas are given on the PSAT/NMSQT?
A reference sheet with common geometry formulas is available during the PSAT/NMSQT, including area of a circle, rectangle and triangle, volume formulas, the Pythagorean theorem, and special right triangle ratios. It does not include algebra rules like slope, the quadratic formula or percent change, so those are worth memorizing with flashcards before test day.
Explore more free review tools in our math flashcards hub.
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