furthermore, moreover, in addition, also

however, nevertheless, on the other hand, conversely

therefore, thus, consequently, as a result

for example, for instance, specifically

first, next, finally, subsequently

Separate two independent clauses (complete sentences)

Join two independent clauses (and, but, or, nor, for, so, yet)

Introduce a list or explanation after a complete sentence

Set off an intro phrase or nonessential info — NOT to join two sentences

Set off a nonessential interruption, like a pair of commas

A pronoun must match its antecedent in number (a company = 'it,' not 'they')

Keep tense consistent with the rest of the passage's timeline

An opening modifier must describe the noun right after the comma

'Its' = possessive; 'it's' = it is. The PSAT loves this one

Sum of values ÷ number of values; sensitive to outliers

Middle value when ordered; resists outliers

How spread out the data is; larger = more spread

Favorable outcomes ÷ total outcomes (0 to 1)

Read the right row and column; watch 'given that' (conditional)

How long is the digital PSAT/NMSQT?

Total testing time is 2 hours and 14 minutes — 64 minutes for Reading and Writing (two 32-minute modules) and 70 minutes for Math (two 35-minute modules), plus a 10-minute break between the two sections.

How is the PSAT/NMSQT scored?

The PSAT/NMSQT is scored on a 320–1520 scale: the Reading and Writing section and the Math section each return a 160–760 score, and the two add up to your total. There is no penalty for wrong answers, so you should answer every question.

What is a good PSAT score?

There is no pass or fail. A 'good' PSAT score is one that shows you are on track for your SAT goal and, for juniors, in range for National Merit recognition. The number that matters for National Merit is the Selection Index, not the total score itself.

What score do I need for National Merit?

National Merit uses a Selection Index: (Reading and Writing score × 2 + Math score) ÷ 10, ranging from 48 to 228. The nationwide Commended cutoff is usually around 207–209, while Semifinalist cutoffs vary by state, typically in the high 200s of the index. Only juniors who take the PSAT/NMSQT can qualify.

What does it mean that the PSAT is adaptive?

Each section is multistage adaptive: your performance on the first module determines whether the second module is easier or harder. Doing well on Module 1 unlocks a harder, higher-scoring Module 2, so it pays to do your best early.

How is the PSAT different from the SAT?

The PSAT/NMSQT is built on the same digital SAT framework — the same Reading, Writing, and Math content domains and the same adaptive format — but on a slightly lower score scale (320–1520 vs 400–1600). It is a practice run that also qualifies juniors for National Merit. Studying for one is studying for the other.

How should I use this PSAT study guide?

Work through the eight content domains module by module — the four Reading and Writing domains, then the four Math domains. After each module take the checkpoint quiz to find gaps, then drill that domain with our free practice questions and flashcards, and revisit flagged sections before test day.

Is this PSAT study guide free?

Yes — the full guide, the checkpoints, the glossary, the practice questions, and the flashcards are 100% free, with no account required.

How do you find the central idea of a passage?

The central idea is the main point the whole passage supports — broader than any single detail, but never beyond what the text says. Find it by asking what claim every sentence is working toward, then choose the option that captures the passage as a whole rather than one supporting fact. This is an Information and Ideas skill. A detail question asks for one specific stated fact; a central-idea question asks for the overall point. Eliminate choices that are true of only part of the passage or that go further than the text supports.

How do you find the best evidence to support a claim?

Supporting a claim with evidence means finding the detail, quotation, or data point that most directly backs it up. Textual evidence points to a specific sentence in a passage; quantitative evidence comes from reading a graph or table and identifying the value the data supports. This is an Information and Ideas skill. The answer must be supported by the passage or the data shown — not by outside knowledge. When working from a graph, check the axis labels and units before choosing.

How do you determine the meaning of a word from context?

Determining a word's meaning in context means using the surrounding sentence — its tone, logic, and clues — to choose the word or phrase that best fits, rather than relying on a dictionary definition. The right answer fits the passage's meaning even when several choices are real synonyms. This is a Craft and Structure skill. Predict your own word before reading the choices, then match. Watch for choices that are real synonyms but the wrong register or connotation for the passage.

How do you analyze the structure and purpose of a text?

Analyzing structure and purpose means asking why an author wrote a passage and how each part functions within it — whether a sentence introduces a counterargument, gives an example, or states the main claim. Focus on the role a line plays, not just what it says. This is a Craft and Structure skill, alongside cross-text connections, which compares the viewpoints of two paired passages. Name the purpose in your own words (define, contrast, illustrate) before checking the choices.

How do you choose the right transition word between two ideas?

Choosing a transition is about logic, not vocabulary. Decide the relationship between the two ideas — does the second add to the first (furthermore), contrast it (however), or show a result (therefore)? Then pick the transition that matches that relationship. This is an Expression of Ideas skill. Cover the answer choices and name the relationship yourself first. Common traps: a contrast word where the ideas actually agree, or 'for example' where no example follows.

What is rhetorical synthesis on the PSAT?

Rhetorical synthesis gives you a set of bulleted notes and a stated goal — emphasize a contrast, introduce a topic to an unfamiliar reader — and asks for the sentence that uses the notes to meet that goal. The right choice both uses the notes and accomplishes the specific purpose stated. This is an Expression of Ideas skill. Read the goal first, then test each choice against it. A choice can be a grammatically perfect sentence and still be wrong if it does not meet the stated goal.

When do you use a semicolon vs a comma to join clauses?

Use a semicolon to join two complete, related sentences (independent clauses) with no conjunction. A comma alone cannot join two independent clauses — that is a comma splice. A comma plus a coordinating conjunction (and, but, or, so) can. This is a sentence-boundaries skill within Standard English Conventions. Test each side: if both halves could stand alone, a semicolon (or period, or comma + FANBOYS) works. A colon also joins, but the first half must be a complete sentence and the second must explain or list.

How do you fix subject-verb agreement errors?

A verb must agree in number with its true subject: a singular subject takes a singular verb, a plural subject a plural verb. The trick is to ignore words that come between the subject and the verb — prepositional phrases and clauses are designed to distract you from the real subject. This is a Standard English Conventions skill. 'The list of items is long' — the subject is 'list' (singular), not 'items.' Watch collective nouns (a team, a company) that usually take a singular verb.

What is the slope of a line and how do you find it?

Slope measures steepness: the change in y divided by the change in x (rise over run) between any two points. In slope-intercept form, y = mx + b, the slope is m and b is the y-intercept (where the line crosses the y-axis). Slope is one of the most important Algebra ideas. Parallel lines share the same slope; perpendicular lines have slopes that are negative reciprocals (their product is −1). A horizontal line has slope 0; a vertical line has an undefined slope.

How do you solve a system of linear equations?

Solve a system by substitution or elimination. Substitution solves one equation for a variable and plugs it into the other; elimination adds or subtracts the equations to cancel a variable. The solution is the point (x, y) where the two lines cross. This is a core Algebra skill. A system has no solution when the lines are parallel (same slope, different intercept) and infinite solutions when the equations are multiples of each other. Graphing both lines in Desmos and reading the intersection point is an equivalent way to find the solution.

What is the quadratic formula and when do you use it?

The quadratic formula solves any equation of the form ax² + bx + c = 0: x = (−b ± √(b² − 4ac)) ÷ (2a). Use it when a quadratic does not factor cleanly. The part under the root, b² − 4ac, is the discriminant. This is a core Advanced Math skill. The discriminant tells you the number of real solutions: positive = two, zero = one, negative = none. If the quadratic factors easily, factoring or graphing it is faster than the formula.

What is an exponential function?

An exponential function has the form y = a · bˣ, where a is the starting value and b is the growth or decay factor. When b is greater than 1 the quantity grows by a constant percent each step; when b is between 0 and 1 it decays. It models things like compound interest and populations. Nonlinear functions are central to Advanced Math. Linear means a constant amount added each step; exponential means a constant percent multiplied each step. A growth rate of 5% per period makes b = 1.05; a 5% decay makes b = 0.95.

How do you calculate percent change?

Percent change equals the change divided by the original amount, times 100. If a value goes from 80 to 100, the change is 20, so the percent increase is 20 ÷ 80 = 25%. Always divide by the starting (original) value, not the new one. Percentages, ratios, and rates are core Problem-Solving and Data Analysis skills. A common error is dividing by the new value or confusing percent change with percentage points. To increase a number by 25%, multiply by 1.25; to decrease by 25%, multiply by 0.75.

What is the difference between mean and median?

The mean is the average — add the values and divide by how many there are. The median is the middle value when the data is in order. The median resists outliers, so when a data set has an extreme value, the mean is pulled toward it while the median stays put. Center and spread are core Problem-Solving and Data Analysis topics. A larger standard deviation means the data is more spread out from the mean. On a right-skewed data set the mean is greater than the median; on a left-skewed set the mean is less.

What is SOH-CAH-TOA and how do you use it?

SOH-CAH-TOA is the right-triangle trig memory aid: sine = opposite ÷ hypotenuse, cosine = adjacent ÷ hypotenuse, tangent = opposite ÷ adjacent. The hypotenuse is the longest side, opposite the right angle; 'opposite' and 'adjacent' are relative to the angle you are using. This is a core Geometry and Trigonometry skill. Pair it with the Pythagorean theorem, a² + b² = c², for the side lengths. Know the special right triangles (30-60-90 and 45-45-90) and that complementary angles give sin θ = cos(90° − θ).

How do you find the main purpose of a paragraph?

Finding a paragraph's purpose means asking what job it does for the passage — does it introduce a claim, give an example, raise a counterargument, or qualify an earlier point? Describe that role in your own words (define, illustrate, contrast) before checking the choices, then match. This is a Craft and Structure skill. The purpose is the function a part serves, not a restatement of what it says. On the PSAT, naming the role first keeps you from picking a choice that is true but does not capture the paragraph's job.

The Preliminary SAT / National Merit Scholarship Qualifying Test — a digital practice run for the SAT, given each October through high schools, that also qualifies juniors for the National Merit Scholarship Program.

National Merit Scholarship Program

A scholarship competition run by the National Merit Scholarship Corporation. Eligible juniors enter by taking the PSAT/NMSQT; high scorers are named Commended Students, Semifinalists, and Finalists.

The number National Merit uses for recognition: (Reading and Writing score × 2 + Math score) ÷ 10, ranging from 48 to 228. Reading and Writing counts twice.

The current PSAT/NMSQT, taken on a computer in the Bluebook app. It has a Reading and Writing section and a Math section, each split into two adaptive modules.

Multistage adaptive testing

A design where the difficulty of a section's second module depends on how you performed on the first. Stronger first-module performance unlocks a harder, higher-scoring second module.

Half of a PSAT section. Each section has two modules; Reading and Writing has 27 questions per module (32 minutes), Math has 22 questions per module (35 minutes).

FREE PSAT Study Guide 2026 + Quizzes & Readiness Score

Q: How many questions are on the digital PSAT/NMSQT?

The digital PSAT/NMSQT has 98 questions administered: 54 in the Reading and Writing section (27 per module, two modules) and 44 in the Math section (22 per module, two modules). Of the 98, 90 are scored and 8 are unscored pretest items.

This free PSAT study guide teaches to the — every content domain the College Board tests, organized the way the exam is built.^[1] The PSAT is the Preliminary SAT / National Merit Scholarship Qualifying Test: a practice run for the SAT that also decides which juniors qualify for .^[2]

Because the PSAT runs on the same framework as the SAT, this guide covers the current digital format: two sections (Reading and Writing, then Math), each split into two , and a 320–1520 score. It’s interactive, not a wall of text: every domain has a built-in checkpoint quiz, hover-able glossary terms, worked math examples, and concept questions, so you learn by doing.

Already comfortable with the PSAT and looking ahead? Everything here carries straight over to our SAT study guide. Read this guide domain by domain, test yourself at each checkpoint, then round out your free PSAT prep with our practice questions and flashcards.

PSAT/NMSQT Exam Snapshot

Digital PSAT/NMSQT at a glance (2026)
Detail	Digital PSAT/NMSQT
Questions	98 administered (90 scored + 8 pretest) — 54 R&W + 44 Math
Format	Two sections, two adaptive modules each, on computer (Bluebook app)
Total time	2 hours 14 minutes (64 min R&W + 70 min Math) + 10-min break
Score scale	320–1520 (each section 160–760)
National Merit	Juniors qualify via a Selection Index = (R&W × 2 + Math) ÷ 10
Guessing penalty	None — answer every question
Calculator	Desmos built in; allowed on all Math
When / who	October, through your high school; mainly juniors (sophomores for practice)
Publisher	College Board

How the digital PSAT/NMSQT is built — 2 sections, 2 modules each

The test is multistage adaptive: your performance on the first module of a section decides whether the second module is easier or harder.

Reading & Writing — Module 127 questions · 32 min. A broad mix of easy, medium, and hard questions across all 4 R&W domains.
Reading & Writing — Module 2 (adaptive)27 questions · 32 min. Easier OR harder depending on how you did in Module 1. This is the stage that adapts.
10-minute break — a short pause
Math — Module 122 questions · 35 min. A broad mix of difficulty across all 4 Math domains. Desmos calculator available.
Math — Module 2 (adaptive)22 questions · 35 min. Easier OR harder based on Math Module 1. Your two modules together set the section score.

98 questions administered · 2 hours 14 minutes of testing. Do your best on Module 1 — it unlocks the higher-scoring second module.

Because the test is , your work on the first module of each section decides how hard — and how high-scoring — the second module can be.^[1] Spend your study time across all eight domains, but know that Algebra and Advanced Math dominate the Math section and that grammar rules in Standard English Conventions are some of the fastest points to win:

Digital PSAT content domains (2026 shares within each section)

Algebra (Math)35% · ~35% of Math

Advanced Math35% · ~35% of Math

Craft & Structure (R&W)28% · ~28% of R&W

Information & Ideas (R&W)26% · ~26% of R&W

Standard English Conventions26% · ~26% of R&W

Expression of Ideas (R&W)20% · ~20% of R&W

Problem-Solving & Data Analysis15% · ~15% of Math

Geometry & Trigonometry15% · ~15% of Math

College Board reports domain shares as approximate ranges within each section, so the exact mix shifts slightly each form.^[5] This guide teaches all eight domains — the four Reading and Writing domains first, then the four Math domains — as eight study modules.

1 · Information and Ideas (Reading & Writing)

About 26% of Reading and Writing. This domain is comprehension and reasoning: finding the main point, locating the evidence that backs a claim (in text or in a graph), and drawing a conclusion the passage supports.^[3]

Anatomy of a Reading & Writing question

1 · Short passage (25–150 words)One brief, self-contained text — or a pair of texts — on literature, history/social studies, humanities, or science. You never need outside knowledge.

2 · One questionEach passage has exactly one multiple-choice question with four answer choices.

3 · Pick the best-supported choiceThe right answer is the one the text supports — not the one that is merely true in the real world.

Questions are grouped by domain in roughly easy-to-hard order within a module.

Central Ideas & Details

A question asks for the main point of the passage; a detail question asks for a specific fact it states. The central idea is the claim the whole text supports — broader than any single detail, but never beyond what the passage says.

Command of Evidence

questions come in two flavors. Textual evidence asks which quotation best supports a claim; quantitative evidence gives a graph or table and asks which choice the data backs. For data questions, read the axis labels and units before the choices.

Inferences

An is a conclusion the passage impliesbut doesn’t state. The correct choice is the one the text most directly supports — not the most interesting or most extreme one. If a choice needs information the passage never gives, eliminate it.

Checkpoint · Domain 1 · Information & Ideas

Question 1 of 10

In the passage, the author implies that technology's rapid advancements pose what kind of challenge to society?

2 · Craft and Structure (Reading & Writing)

About 28% of Reading and Writing. These questions test how you read closely — vocabulary in context, why a text is built the way it is, and how two related texts connect. Every answer must be supported by the passage in front of you.^[3]

Words in Context

questions give a short passage with a blank (or an underlined word) and ask for the choice that best fits the surrounding meaning. The trick is to predict your own word first, before you read the choices, then pick the closest match. A choice can be a perfect synonym yet still be wrong if its tone or connotation clashes with the passage.

Text Structure & Purpose

These ask why the author wrote something or how a part functions — for example, whether a sentence introduces a counterargument, gives an example, or states the main claim. Name the role of the line in your own words (define, contrast, illustrate, qualify) before checking the choices.

Cross-Text Connections

Cross-Text Connections give you two short passageson the same topic and ask how their authors relate — does Text 2 support, challenge, or extend Text 1? Pin down each author’s viewpoint separately, then describe the relationship.

Checkpoint · Domain 2 · Craft & Structure

Question 1 of 10

In a passage discussing the role of technology in modern education, which of the following statements best captures the author's tone?

3 · Expression of Ideas (Reading & Writing)

About 20% of Reading and Writing. This domain is about effective writing — combining information to meet a goal, and choosing the transition that fits the logic between two ideas.^[3]

Rhetorical Synthesis

questions give you a set of bulleted notes and a stated goal (“emphasize a contrast,” “introduce the study to an unfamiliar audience”) and ask for the sentence that uses the notes to meet it. Read the goal first, then find the choice that actually accomplishes it.

Transitions

questions test logic, not vocabulary. Decide the relationship between the two ideas, then pick the matching word:

Common PSAT transition words by relationship
Relationship	Transitions
Addition	furthermore, moreover, in addition, also
Contrast	however, nevertheless, on the other hand, conversely
Cause / effect	therefore, thus, consequently, as a result
Example	for example, for instance, specifically
Sequence	first, next, finally, subsequently

Checkpoint · Domain 3 · Expression of Ideas

Question 1 of 10

What is the best way to combine the following sentences? "The car was red. It was the fastest model in the dealership."

4 · Standard English Conventions (Reading & Writing)

About 26% of Reading and Writing. Grammar, punctuation, and sentence structure — and some of the fastest, most learnable points on the whole test, because the rules are finite.^[3]

Boundaries (Punctuation)

“Boundaries” questions test how you join and separate clauses. The key idea is whether each side is an (a complete sentence):

Joining clauses — what each mark can do
Mark	Use it to...
Period / semicolon	Separate two independent clauses (complete sentences)
Comma + FANBOYS	Join two independent clauses (and, but, or, nor, for, so, yet)
Colon	Introduce a list or explanation after a complete sentence
Comma alone	Set off an intro phrase or nonessential info — NOT to join two sentences
Dash (pair)	Set off a nonessential interruption, like a pair of commas

Form, Structure & Sense (Grammar)

This covers , verb tense, pronoun agreement, and modifiers. The most common traps:

High-frequency PSAT grammar rules
Rule	What to watch for
Subject-verb agreement	Ignore words between subject and verb; match number to the true subject
Pronoun agreement	A pronoun must match its antecedent in number (a company = 'it,' not 'they')
Verb tense	Keep tense consistent with the rest of the passage's timeline
Modifier placement	An opening modifier must describe the noun right after the comma
Its vs it's	'Its' = possessive; 'it's' = it is. The PSAT loves this one

Checkpoint · Domain 4 · Standard English Conventions

Question 1 of 10

Which of the following sentences contains correct subject-verb agreement?

5 · Algebra (Math)

About 35% of the Math section — the single biggest Math domain. Linear equations, functions, systems, and inequalities. Get fluent here and you bank a third of the Math points.^[4]

Digital PSAT Math by domain (2026 shares)

Algebra

~35%

Advanced Math

~35%

Problem-Solving & Data Analysis

~15%

Geometry & Trigonometry

~15%

Algebra and Advanced Math together are about 70% of the Math section — master linear and quadratic work first.

Linear Equations & Functions

A linear equation graphs as a straight line. In $y = mx + b$ , the $m$ is the rise over run and $b$ is the y-intercept. The slope between two points is $m = \dfrac{y_2 - y_1}{x_2 - x_1}$ .

Systems of Equations

Solve a by substitution or elimination; the solution is where the lines cross. A system has no solution when the lines are parallel (same slope, different intercept) and infinitely many when the two equations are multiples of each other.

Inequalities

Solve inequalities like equations, with one rule: flip the inequality sign when you multiply or divide by a negative number. Systems of inequalities define a shaded region; a solution is any point inside it.

Checkpoint · Domain 5 · Algebra

Question 1 of 10

Solve for x: 3x + 7 = 22.

6 · Advanced Math

About 35% of the Math section. Nonlinear equations and functions — quadratics, exponentials, polynomials — and the algebra of equivalent expressions. This is where the harder adaptive-module questions live.^[4]

Quadratics & Nonlinear Functions

A has the form $ax^2 + bx + c = 0$ . Solve it by factoring when it’s clean, or with the :

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The $b^2 - 4ac$ tells you how many real solutions there are: positive → two, zero → one, negative → none. The graph of a quadratic is a parabola whose vertex is its maximum or minimum.

Equivalent Expressions

These ask you to rewrite an expression — factor, expand, or combine — into an equivalent form. Know the key patterns:

Algebraic identities you should know cold
Pattern	Expansion / factorization
Difference of squares	$a^2 - b^2 = (a+b)(a-b)$
Perfect square	$(a+b)^2 = a^2 + 2ab + b^2$
Exponent product	$x^m \cdot x^n = x^{m+n}$
Exponent power	$(x^m)^n = x^{mn}$
Negative exponent	$x^{-n} = \dfrac{1}{x^n}$

Function Notation & Graphs

writes a rule as $f(x)$ ; $f(3)$ means evaluate at $x = 3$ . An $y = a \cdot b^x$ grows by a constant percent (when $b > 1$ ) or decays (when $0 < b < 1$ ) — the contrast with a line that adds a constant amount is heavily tested.

Checkpoint · Domain 6 · Advanced Math

Question 1 of 10

Solve for x: x2 - 6x + 8 = 0.

7 · Problem-Solving & Data Analysis

About 15% of the Math section. Real-world quantitative reasoning — ratios, rates, percentages, units, and reading data — plus basic statistics and probability.^[4]

Ratios, Rates & Percentages

Set up a proportion for ratio and rate problems, and watch your units. is the change divided by the original value, times 100.

Data, Statistics & Probability

Know the measures of center and spread: the mean is the average, the is the middle value, and a larger means more spread. The median resists outliers, so a single extreme value pulls the mean but not the median.

Center, spread, and probability essentials
Concept	What to remember
Mean	Sum of values ÷ number of values; sensitive to outliers
Median	Middle value when ordered; resists outliers
Standard deviation	How spread out the data is; larger = more spread
Probability	Favorable outcomes ÷ total outcomes (0 to 1)
Two-way table	Read the right row and column; watch 'given that' (conditional)

Checkpoint · Domain 7 · Problem-Solving & Data Analysis

Question 1 of 10

A bag contains 8 red, 6 blue, and 10 green marbles. If 2 marbles are drawn at random, what is the probability that both are red?

8 · Geometry & Trigonometry

About 15% of the Math section. Area and volume, lines and angles, triangles (including right-triangle trig), and circles. The PSAT provides a reference sheet of formulas, but speed comes from knowing the core ones cold.^[4]

Area, Volume, Lines & Angles

Know the workhorses: area of a rectangle $= lw$ , triangle $= \tfrac{1}{2}bh$ , circle $= \pi r^2$ . Angles on a straight line sum to 180°, around a point to 360°, and a triangle’s interior angles sum to 180°. When parallel lines are cut by a transversal, corresponding and alternate angles are equal.

Triangles & Right-Triangle Trig

The $a^2 + b^2 = c^2$ gives the sides of a right triangle, and gives the trig ratios:

Right-triangle trig — SOH-CAH-TOA

SOH
sin θ = opposite ÷ hypotenuse

CAH
cos θ = adjacent ÷ hypotenuse

TOA
tan θ = opposite ÷ adjacent

And the Pythagorean theorem: a² + b² = c². The PSAT gives you a reference sheet of formulas — but speed comes from knowing these cold.

Memorize the — the 45-45-90 (sides $1 : 1 : \sqrt{2}$ ) and the 30-60-90 (sides $1 : \sqrt{3} : 2$ ) — and that complementary angles satisfy $\sin\theta = \cos(90^\circ - \theta)$ .

Circles

Circle facts the PSAT tests: circumference $= 2\pi r$ , area $= \pi r^2$ , and the equation of a circle centered at $(h, k)$ with radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$ . Arc length and sector area are simple fractions of the whole, set by the central angle.

Checkpoint · Domain 8 · Geometry & Trigonometry

Question 1 of 10

A sphere has a volume of 36π. What is the radius of the sphere?

How to Use This Study Guide

A study guide is a map, not the whole territory — use it alongside official College Board practice in Bluebook and our free tools. Because the digital PSAT is adaptive, the goal is steady accuracy across both modules, so spaced, mixed practice beats one long cram. For juniors, remember the doubles your Reading and Writing score, so the verbal domains pay off twice for National Merit.

The National Merit Selection Index (48 – 228)

R&W score160 – 760counts twice (× 2)

Math score160 – 760counts once

Selection Index48 – 228

Selection Index = (Reading & Writing score × 2 + Math score) ÷ 10. Because R&W is doubled, verbal performance carries extra weight for National Merit. Commended cutoffs sit around 207–209; Semifinalist cutoffs vary by state.

How the PSAT/NMSQT is scored — two sections add to one total

Reading & Writing160 – 760

Math160 – 760

Total score320 – 1520

There is no pass or fail — the PSAT is a practice run that also qualifies juniors for National Merit. Wrong answers never cost you points, so answer every question.

A study loop that actually works

1
Read a domain here
Work through one domain at a time — the four Reading & Writing domains, then the four Math domains.
2
Take the checkpoint
The quick check at the end of each domain exposes what didn't stick.
3
Drill the gaps
Send your weak domain straight into the free practice questions and flashcards.
4
Take full, timed practice
Sit official Bluebook practice tests to build adaptive-test stamina, then review every miss.

PSAT Concept Questions

Common PSAT skills the test actually measures — at least one per content domain. Tap any card for a short, exam-ready answer backed by an official source (College Board), then test yourself on them as flashcards.

PSAT Glossary

Quick definitions for the terms you’ll see most across the digital PSAT/NMSQT:

Central idea: The main point a passage is making. Central Ideas and Details questions ask you to identify it or a specific supporting detail.
Comma splice: A punctuation error in which two independent clauses are joined by only a comma. Fix it with a period, semicolon, or comma plus a conjunction.
Command of evidence: A skill that asks you to identify the textual quotation or quantitative data point that best supports a given claim or conclusion.
Desmos calculator: The graphing calculator built into the PSAT Math section. It is available on every Math question.
Digital PSAT: The current PSAT/NMSQT, taken on a computer in the Bluebook app. It has a Reading and Writing section and a Math section, each split into two adaptive modules.
Discriminant: The expression b² − 4ac inside the quadratic formula. It tells you the number of real solutions: positive = two, zero = one, negative = none.
Exponential function: A function y = a · bˣ where a is the starting value and b is the growth (b > 1) or decay (0 < b < 1) factor; the quantity changes by a constant percent each step.
Function notation: Writing a rule as f(x), where f(x) is the output for input x. f(3) means evaluate the function at x = 3.
Independent clause: A group of words with a subject and verb that can stand alone as a complete sentence.
Inference: A logical conclusion the passage supports but does not state outright. The correct inference is the one the text most strongly implies.
Median: The middle value of an ordered data set. Unlike the mean, it is not pulled toward outliers.
Module: Half of a PSAT section. Each section has two modules; Reading and Writing has 27 questions per module (32 minutes), Math has 22 questions per module (35 minutes).
Multistage adaptive testing: A design where the difficulty of a section's second module depends on how you performed on the first. Stronger first-module performance unlocks a harder, higher-scoring second module.
National Merit Scholarship Program: A scholarship competition run by the National Merit Scholarship Corporation. Eligible juniors enter by taking the PSAT/NMSQT; high scorers are named Commended Students, Semifinalists, and Finalists.
Percent change: The change in a quantity divided by its original value, times 100. Always divide by the starting amount.
PSAT/NMSQT: The Preliminary SAT / National Merit Scholarship Qualifying Test — a digital practice run for the SAT, given each October through high schools, that also qualifies juniors for the National Merit Scholarship Program.
Pythagorean theorem: For a right triangle with legs a and b and hypotenuse c, a² + b² = c².
Quadratic equation: An equation of the form ax² + bx + c = 0. It can be solved by factoring, completing the square, or the quadratic formula.
Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ (2a), which solves any quadratic ax² + bx + c = 0.
Rhetorical synthesis: An Expression of Ideas task that gives you bulleted notes and asks you to combine them into a single sentence that meets a stated goal.
Selection Index: The number National Merit uses for recognition: (Reading and Writing score × 2 + Math score) ÷ 10, ranging from 48 to 228. Reading and Writing counts twice.
Slope: The steepness of a line: the change in y divided by the change in x (rise over run). In y = mx + b, the slope is m.
Slope-intercept form: The linear equation y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis).
SOH-CAH-TOA: The right-triangle trig memory aid: sine = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent.
Special right triangles: The 30-60-90 and 45-45-90 triangles, whose side ratios (1 : √3 : 2 and 1 : 1 : √2) appear often on the PSAT.
Standard deviation: A measure of how spread out data is around its mean. A larger standard deviation means more spread.
Subject-verb agreement: The rule that a verb must match its subject in number — a singular subject takes a singular verb, a plural subject a plural verb.
System of equations: Two or more equations solved together; the solution is the point that satisfies all of them — where the graphs intersect.
Transition: A word or phrase (however, therefore, for example) that signals the logical relationship between ideas — contrast, cause, addition, or example.
Words in Context: A Reading and Writing question type asking you to choose the word or phrase that best completes a passage based on its surrounding meaning.

Free PSAT Study Materials & Resources

Everything you need to prepare for the PSAT is free here — no paywall, no sign-up. This guide is the foundation; pair it with the rest of our free PSAT study materials for active recall, timed practice, and last-minute review:

PSAT Practice Test — exam-style questions across all eight domains, with explanations.
PSAT Flashcards — active-recall decks for the high-yield grammar rules, math formulas, and reading skills.
SAT Study Guide — the same domains on the full SAT scale, for when you move from the PSAT to the SAT.

PSAT Study Guide FAQ

The digital PSAT/NMSQT has 98 questions administered: 54 in the Reading and Writing section (27 per module, two modules) and 44 in the Math section (22 per module, two modules). Of the 98, 90 are scored and 8 are unscored pretest items.

References

1.College Board. “How the PSAT/NMSQT Is Structured — SAT Suite.” College Board. ↑
2.College Board. “The PSAT/NMSQT — SAT Suite of Assessments.” College Board. ↑
3.College Board. “The Reading and Writing Section — SAT Suite.” College Board. ↑
4.College Board. “The Math Section — SAT Suite.” College Board. ↑
5.College Board. “What Are Content Domains? — SAT Suite.” College Board. ↑
6.College Board. “National Merit Scholarship Program.” College Board. ↑
7.College Board. “Understanding PSAT/NMSQT Scores.” College Board. ↑

Sources for the concept answers

Every answer in the PSAT concept questions above is drawn from an official primary source:

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