The New Jersey Graduation Proficiency Assessment (NJGPA) is the standardized test that New Jersey high school students must pass as part of the requirements for a diploma. The assessment has two components — English Language Arts (ELA) and Mathematics — and students who do not pass can retest in subsequent testing windows or qualify through an alternative assessment pathway. Whether you are preparing for your first attempt or retesting to improve your score, this free printable PDF gives you practice questions covering every tested domain: literary and informational reading comprehension, essay and extended writing tasks, algebra and functions, geometry and measurement, and data analysis and probability. Download the file, print it, and work through it with pencil and scratch paper exactly as you would in a real testing session. Use our online njgpa practice test for scored, timed sessions that show your progress by topic.
Passing score on each NJGPA component is a scaled score of 750 on a 100–900 scale. Students who do not reach 750 may still graduate through the Alternative Means pathway — using Graduation Portfolio Appeal, or meeting cut scores on approved alternative assessments including the SAT, ACT, PSAT 10, or demonstrating course performance criteria. Understanding the full landscape of options is important, but for most students the most reliable path to graduation is building the skills tested on the NJGPA itself through consistent practice across both ELA and math domains.
The NJGPA ELA component is built around extended tasks that ask students to read closely, synthesize information from multiple sources, and produce extended writing in response to a prompt. Each task is accompanied by source texts that students must draw on directly — success requires not just general writing ability but the specific skill of grounding arguments and analysis in textual evidence.
The Literary Analysis Task asks students to read one or more literary texts (fiction, poetry, or drama) and write an analytical essay that addresses a specific question about the text. Questions typically focus on how an author develops a theme, how characterization reveals something about the work's meaning, how narrative perspective shapes the reader's understanding of events, or how figurative language and literary devices contribute to the work's effect.
Close reading is the core skill: students must locate specific textual evidence that supports their claim and integrate quotations or paraphrases smoothly into their essay. A strong literary analysis response identifies a clear, arguable claim about the text, supports it with at least three distinct pieces of textual evidence, analyzes how each piece of evidence supports the claim (rather than simply summarizing what happens), and maintains a formal, analytical voice throughout. Common errors that cost points include summarizing the plot instead of analyzing it, making claims that are too obvious to be arguable, dropping quotations into the essay without explaining their relevance, and ending paragraphs with a quotation rather than with the student's own analytical sentence. The rubric rewards specificity: a response that analyzes one carefully chosen quotation in depth earns more credit than a response that lists five quotations without explanation.
Key literary elements tested include theme (the central idea or message of the work, distinct from subject matter), characterization (how the author reveals character through dialogue, action, thought, and description), narrative perspective (first-person limited, third-person limited, third-person omniscient — and how each choice affects what the reader can know), tone (the author's attitude toward the subject or characters, conveyed through diction and detail), and figurative language (metaphor, simile, personification, symbolism, irony — and their effect on meaning rather than just their identification).
The Research Simulation Task places students in a simulated research scenario: they are given a central question and two to four informational sources, which may be articles, charts, graphs, or primary source documents, and they must write an informational or argumentative essay that draws on multiple sources to address the question. The task directly tests reading comprehension across multiple informational texts, source evaluation skills, and the ability to synthesize information — meaning the ability to weave evidence from different sources into a unified, coherent response rather than summarizing each source separately.
Central idea questions ask students to identify the main point of an informational passage and explain how supporting details develop that point. Understanding text structure is essential: informational texts commonly use problem-solution, cause-effect, compare-contrast, chronological, and description structures, and the structure shapes how evidence is organized within the text. Author's purpose questions ask why the author wrote the text (to inform, to persuade, to describe, to explain) and how specific choices — including what is included, what is left out, and how information is framed — reflect that purpose. Comparing sources tests the ability to identify when two sources agree, when they contradict, when one provides evidence that qualifies another, and when one source's data is more current, reliable, or relevant to the question at hand. Students who score at the highest rubric levels write responses that cite multiple sources, integrate evidence fluidly, distinguish between their own ideas and source material, and maintain a consistent central claim throughout the essay without straying into summary.
The Narrative Writing Task asks students to write a narrative — typically a story, personal narrative, or narrative extension of a given source text — that demonstrates control over narrative craft. Scored elements include narrative development (does the story have a clear sequence of events, a central conflict, and a resolution?), description and detail (are settings, characters, and events rendered with specific sensory detail rather than vague generalities?), narrative techniques (dialogue, pacing, flashback, foreshadowing, point of view), and language and conventions (vocabulary choice, sentence variety, grammar, spelling, and punctuation). Strong narrative responses include a narrative hook that immediately establishes voice and situation, rising action that builds tension toward a climactic moment, and a resolution that provides closure without being formulaic. Examiners frequently distinguish between responses that tell what happened and responses that show it — showing through specific detail and action earns higher rubric scores than narrating events in general terms.
Every NJGPA ELA writing task is scored in part on standard English conventions: grammar, usage, mechanics, spelling, and punctuation. The most commonly penalized errors include comma splices (joining two independent clauses with only a comma), run-on sentences, sentence fragments, pronoun-antecedent disagreement, subject-verb agreement errors with intervening phrases, misplaced and dangling modifiers, inconsistent verb tense, and apostrophe errors in possessives and contractions. Vocabulary-in-context questions on the reading portions ask students to determine the meaning of an unfamiliar word based on context clues — Latin and Greek roots, surrounding sentences, and the overall tone and subject matter of the passage — rather than requiring prior knowledge of the specific word.
The NJGPA Mathematics component covers three broad content areas aligned to the New Jersey Student Learning Standards: Number Sense and Algebra, Geometry, and Data Analysis and Probability. Questions range from procedural computation to multi-step reasoning problems that require students to set up, solve, and interpret mathematical models in context.
Linear equations and inequalities form the foundation of the algebra content. Students must solve one-variable linear equations (including those with variables on both sides and with fractional or decimal coefficients), graph linear equations on the coordinate plane (slope-intercept form, point-slope form, standard form), determine slope from a graph or two points, and interpret slope and y-intercept in context (for example, in a problem about a cell phone plan where the monthly fee is the y-intercept and the per-minute charge is the slope). Systems of linear equations are solved by graphing, substitution, and elimination. A system has one solution (consistent and independent), no solution (parallel lines), or infinitely many solutions (the same line); exam questions ask students both to solve systems algebraically and to interpret what the solution means in the context of a real-world scenario.
Polynomial operations include adding, subtracting, and multiplying polynomials, and factoring — greatest common factor (GCF) factoring, factoring trinomials of the form x² + bx + c and ax² + bx + c, and difference of squares a² − b² = (a+b)(a−b). Quadratic equations are solved by factoring, completing the square, and the quadratic formula x = (−b ± √(b² − 4ac)) / 2a; the discriminant b² − 4ac tells the nature of the solutions (positive = two real solutions, zero = one real solution, negative = no real solutions). Parabolas are graphed using the vertex form y = a(x−h)² + k, where (h, k) is the vertex and a determines whether the parabola opens up (a > 0) or down (a < 0) and how wide or narrow it is. Rational expressions on the NJGPA typically involve simplifying by factoring numerator and denominator and canceling common factors, adding and subtracting rational expressions with common or different denominators, and solving rational equations by multiplying through by the LCD.
Geometry questions test knowledge of properties of two-dimensional and three-dimensional figures, congruence and similarity, transformations in the coordinate plane, and applications of the Pythagorean theorem and trigonometric ratios. Properties of parallel lines cut by a transversal produce pairs of angles with specific relationships: corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, and co-interior (same-side interior) angles are supplementary. These properties are used both in deductive proofs and in solving for unknown angle measures. Triangle properties tested include the Triangle Angle Sum theorem (all interior angles sum to 180°), the Exterior Angle theorem (an exterior angle equals the sum of the two non-adjacent interior angles), and the Triangle Inequality theorem (the sum of any two sides must be greater than the third side).
Congruence and similarity proofs use SSS, SAS, ASA, AAS, and HL (for right triangles) to prove triangles congruent, and AA, SAS, and SSS to prove triangles similar. Corresponding parts of congruent triangles are congruent (CPCTC) is used after establishing congruence to draw conclusions about specific sides or angles. Transformations in the coordinate plane include translations (shifting every point by the same vector), reflections (over the x-axis, y-axis, or the line y = x), rotations (90°, 180°, 270° about the origin), and dilations (scaling from a center point by a scale factor). Rigid transformations (translation, reflection, rotation) preserve congruence; dilations preserve similarity but not congruence unless the scale factor is 1. Surface area and volume formulas for rectangular prisms, cylinders, cones, and spheres are applied in multi-step problems — often requiring students to find a missing dimension given the volume or surface area, or to compare volumes of differently shaped containers in a practical context.
Data analysis questions require students to read, interpret, and construct statistical displays including histograms, box-and-whisker plots, stem-and-leaf plots, scatterplots, and two-way frequency tables. Measures of central tendency — mean, median, and mode — are calculated from raw data or read from displays; students must also understand when each measure best represents a data set (the median is more appropriate than the mean when a distribution is skewed by outliers). Measures of spread include range, interquartile range (IQR = Q3 − Q1), and standard deviation (conceptually — the NJGPA does not require computing standard deviation by formula, but students should understand that a larger standard deviation indicates more spread). Scatterplots require students to identify positive, negative, or no correlation; describe the strength (strong, moderate, weak) and form (linear, nonlinear) of a relationship; write or interpret the equation of a trend line (line of best fit); and use the trend line to make predictions while understanding that correlation does not imply causation.
Probability questions on the NJGPA cover basic probability rules (P(A) = favorable outcomes / total equally likely outcomes), complementary events (P(not A) = 1 − P(A)), independent events (P(A and B) = P(A) × P(B) for independent A and B), and conditional probability (P(A | B) = P(A and B) / P(B)). Combinations and permutations address counting problems: use permutations (nPr = n! / (n−r)!) when order matters (how many ways can 5 runners finish in first, second, and third place out of 10?) and combinations (nCr = n! / (r!(n−r)!)) when order does not matter (how many different committees of 3 people can be chosen from 10?). Two-way frequency tables display categorical data for two variables simultaneously and are used to calculate joint probabilities, marginal probabilities, and conditional probabilities directly from the cell frequencies.
Understanding how the NJGPA is scored and what options are available if a student does not pass is important context for both students and the educators supporting them.
Each NJGPA component is scored on a 100–900 scale, and students must reach 750 to satisfy the graduation assessment requirement for that component. Scores are reported with a standard error of measurement, and students who score just below the cut score (within the standard error band) may request a score review. Students who do not reach 750 after multiple attempts have several alternative pathways available under New Jersey's graduation requirements. The Graduation Portfolio Appeal allows students to submit a portfolio of work samples demonstrating proficiency in the tested skills, evaluated by trained state scorers using analytic rubrics. Course performance criteria allow students who complete certain aligned courses with a qualifying grade to satisfy the assessment requirement without retesting. Approved alternative assessments — including the SAT, ACT, PSAT 10, and in some cases ASVAB and Accuplacer — have established cut scores that satisfy the graduation requirement when met. Students using the alternative pathway should work closely with their school counselor to ensure they complete all required documentation and approvals before their expected graduation date.
For scored, timed online practice that mirrors the real NJGPA environment, take our full njgpa practice test online — each question includes a complete explanation so you understand exactly where errors come from and how to correct them. Use the printable PDF for study sessions away from a screen or to review with a parent, tutor, or teacher, then return to the online tests to track your progress by domain and confirm that your scores are on track before your test date.