SHSAT Exam Flashcards

Q: What is the SHSAT and who takes it?

The SHSAT (Specialized High Schools Admissions Test) is the NYC Department of Education's admissions exam for the specialized high schools, including Stuyvesant, Bronx Science, and Brooklyn Tech. It is taken by current 8th graders (for 9th-grade admission) and current 9th graders (for 10th-grade admission) who live in New York City, and it is the only criterion used to admit students to the testing specialized high schools.

Q: How many questions are on the SHSAT and how is it scored?

The test covers English Language Arts and Math, split evenly between the two sections, in a single 180-minute sitting with no calculator allowed and no fixed per-section time limit. Raw scores convert to a composite scaled score (roughly 200-800), and NYC DOE admits students to each specialized high school in descending order of that score combined with the student's ranked school preferences.

Q: Is the SHSAT changing to a computer-adaptive format?

Yes. Starting with the fall 2026 test administration, NYC DOE is moving the SHSAT to a computer-adaptive test: all students answer the same number of questions per subject, but item difficulty adjusts in real time based on how a student is performing, while the same grade-level content areas and item types continue to be tested.

Q: Is there a passing score, and can you fail the SHSAT?

No — the SHSAT has no pass/fail cut score. Every test-taker receives a composite scaled score, and admission is determined purely by competitive rank order against each specialized high school's annual cutoff, which varies by school and by year (Stuyvesant's cutoff is typically the highest).

Q: Can I take the SHSAT more than once?

The SHSAT is offered once per year. A student can test as an 8th grader and, if not admitted, test again the following year as a 9th grader — but 9th-grade seats are extremely limited compared to 8th-grade admissions, so most students get one realistic attempt. There is no same-year retake or 'failed attempt' wait period because the test is not pass/fail.

Q: Is a calculator allowed on the SHSAT Math section?

No. Calculators are not permitted on any part of the SHSAT, so students should build speed and accuracy with mental math and written computation, especially for percent, fraction, and multi-step arithmetic problems.

Question 1

Subject-verb agreement rule

Accepted Answer

A verb must match its subject in number: singular subjects take singular verbs, plural subjects take plural verbs. Ignore words in a prepositional phrase between the subject and verb — find the true subject first (e.g., 'The list of items IS long,' not 'are').

Question 2

Pronoun-antecedent agreement with collective nouns

Accepted Answer

Collective nouns like committee, team, and jury are singular when acting as one unit, so they take singular pronouns (its, not their). Compound subjects joined by 'or'/'nor' agree with whichever noun is closest to the verb or pronoun.

Question 3

Misplaced and dangling modifiers

Accepted Answer

A modifying phrase must sit directly next to the word it describes. If a sentence starts with a participial phrase ('Running down the street, ...'), the very next word must be the person or thing actually performing that action, or the sentence implies something illogical.

Question 4

Comma rules for nonrestrictive clauses and introductory elements

Accepted Answer

A nonrestrictive (nonessential) clause — one that can be removed without changing the sentence's core meaning — needs a comma on BOTH sides. Introductory words, phrases, and clauses are also set off from the main sentence with a comma.

Question 5

Fixing run-ons, fragments, and semicolon misuse

Accepted Answer

A run-on joins two independent clauses with no punctuation or the wrong punctuation; fix it with a period, a semicolon, or a comma plus a coordinating conjunction (and, but, or). A semicolon may only join two independent clauses — never a clause and a fragment, and never right before 'and/but/or.'

Question 6

Commonly confused words and redundancy

Accepted Answer

Watch for than (comparison) vs. then (time/sequence), their/there/they're, and object pronouns after prepositions ('between you and me,' not 'I'). Also cut redundant phrasing like 'the reason is because' — say 'the reason is that' or simply use 'because.'

Question 7

How to find the main idea of a passage

Accepted Answer

The main idea covers the ENTIRE passage, not just one paragraph or sentence. Eliminate answer choices that are too narrow (a single supporting detail) or too broad (something the passage never actually discusses).

Question 8

Answering explicit detail questions

Accepted Answer

For 'according to the passage' questions, the correct answer is stated directly in the text — locate the exact sentence that answers the question rather than relying on outside knowledge or inference.

Question 9

Making valid inferences

Accepted Answer

A correct inference is a reasonable conclusion clearly supported by evidence in the passage — not a guess that goes beyond the text or a statement that contradicts it. If you can't point to the textual support, the choice is probably wrong.

Question 10

Vocabulary-in-context strategy

Accepted Answer

When asked what a word 'most nearly means' as used in the passage, plug each answer choice back into the sentence and use surrounding context clues. Many SHSAT vocabulary words have multiple meanings, and only one fits the passage's specific context.

Question 11

Identifying the author's purpose

Accepted Answer

Authors generally write to inform, persuade, or entertain. Look at the overall tone and focus of the whole passage, not just one detail, to decide which purpose fits best.

Question 12

Recognizing text structure

Accepted Answer

Passages are often organized by cause-and-effect, compare-and-contrast, chronological order, or problem-and-solution. Spotting the structure helps you predict what kind of question will be asked and where in the passage to look.

Question 13

Interpreting figurative language and metaphor

Accepted Answer

When a passage uses a figurative phrase (like calling coral reefs the 'rainforests of the sea'), think about what QUALITY is being compared — usually richness, scale, or importance — rather than a literal, word-for-word meaning.

Question 14

Understanding the author's craft (why a detail was included)

Accepted Answer

When asked why an author included a specific quote, detail, or example, connect it to the claim it supports. Authors add concrete examples or quotes to illustrate or provide evidence for the point they just made.

Question 15

Evaluating argument and evidence

Accepted Answer

For 'which statement is best supported' questions, choose the option that is directly backed by evidence in the passage — not an idea that sounds reasonable but isn't actually discussed, and not one that contradicts what's stated.

Question 16

Writing a strong summary vs. a distorted one

Accepted Answer

A good summary captures the main idea and key findings without exaggerating, adding outside information, or dropping an important qualifier. Watch for summary choices that overstate the passage's claims, such as turning a recommendation into a requirement.

Question 17

Determining tone and point of view

Accepted Answer

Tone is the author's or narrator's attitude toward the subject (for example, critical, admiring, neutral, or humorous). Identify tone from word choice and emphasis, not just from the topic itself.

Question 18

Reading paired or dual passages

Accepted Answer

When two passages are given together, expect at least one question comparing them — look for where they agree, disagree, or offer different perspectives or types of evidence on the same topic.

Question 19

Reading strategy for poetic passages

Accepted Answer

For poems, pay attention to imagery, rhyme, structure, and word choice. Questions often ask what a specific line or image suggests about a feeling or idea, not just what it literally describes.

Question 20

Reading literary (fiction) passages for character and conflict

Accepted Answer

For fiction excerpts, track what a character wants, what stands in their way, and how they react. Questions often ask what a character's actions or dialogue reveal about their traits or motivation.

Question 21

Distinguishing stated fact from opinion or judgment

Accepted Answer

A fact is a verifiable statement from the passage; an opinion is a judgment or interpretation. Watch for answer choices that sound plausible but are actually an added opinion the passage never states as fact.

Question 22

Tracing cause-and-effect relationships in a passage

Accepted Answer

Identify what event or condition is the cause and what result is the effect. Answer choices sometimes reverse cause and effect or attribute an effect to the wrong cause — check the passage's actual sequence of events.

Question 23

Elimination strategy for reading questions

Accepted Answer

Treat each answer choice as a mini true/false statement about the passage. Cross out any choice that is unsupported, too extreme, off-topic, or contradicted by the text, even if it sounds reasonable taken on its own.

Question 24

Managing time on long, dense passages

Accepted Answer

Skim first for the passage's general topic and structure, then read each question and return to the relevant part of the passage for the specific answer, rather than trying to memorize every detail on a single read-through.

Question 25

Identifying an unsupported or 'trap' answer choice

Accepted Answer

Trap answers often reuse exact words or numbers from the passage but combine them incorrectly, or make a claim broader or narrower than what the text actually supports — always trace the choice back to specific wording in the passage.

Question 26

Order of operations (PEMDAS)

Accepted Answer

Evaluate expressions in this order: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Skipping this order is one of the most common no-calculator arithmetic mistakes.

Question 27

Converting between fractions, decimals, and percents

Accepted Answer

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. To convert a percent to a decimal, move the decimal point two places left. Memorize common conversions (1/4 = 25%, 1/3 ≈ 33.3%) so you can convert instantly without a calculator.

Question 28

Setting up and solving a ratio/proportion

Accepted Answer

Write a ratio as a fraction, then set two equivalent ratios equal to each other and cross-multiply to solve for the unknown. Always keep matching quantities in the same position (e.g., boys/girls = boys/girls, not boys/girls = girls/boys).

Question 29

Percent change and percent of a number

Accepted Answer

Percent change = (change in amount ÷ original amount) × 100. To find a percent OF a number, multiply the number by the percent written as a decimal (e.g., 15% of 60 = 0.15 × 60 = 9). Watch for 'percent off' problems that require subtracting the discount from the original price.

Question 30

GCF, LCM, and prime factorization

Accepted Answer

Break numbers into prime factors to find the Greatest Common Factor (multiply the shared primes) or Least Common Multiple (multiply all primes needed, using the highest power of each). Both skills are tested directly and used to simplify fractions.

Question 31

Exponent and square/cube root rules

Accepted Answer

When multiplying same-base powers, add exponents; when dividing, subtract exponents; when raising a power to a power, multiply exponents. A negative exponent means take the reciprocal. Memorize perfect squares up to 15² and perfect cubes up to 5³ to speed up no-calculator root problems.

Question 32

Solving multi-step linear equations

Accepted Answer

Distribute first, combine like terms on each side, then move variable terms to one side and constants to the other before isolating the variable. Always perform the same operation on both sides of the equation.

Question 33

Solving inequalities correctly

Accepted Answer

Solve an inequality like an equation, but flip the inequality sign whenever you multiply or divide both sides by a NEGATIVE number. Forgetting this flip is one of the most common SHSAT algebra errors.

Question 34

Solving systems of equations

Accepted Answer

Use substitution (solve one equation for a variable, then plug it into the other) or elimination (add or subtract the equations to cancel a variable) to find the values that satisfy both equations at once.

Question 35

Slope and slope-intercept form

Accepted Answer

Slope = rise over run = (y2 − y1)/(x2 − x1). In y = mx + b, m is the slope and b is the y-intercept — memorize this form to quickly read a line's behavior from its equation or graph.

Question 36

FOIL and multiplying binomials

Accepted Answer

To multiply two binomials like (x + 3)(x − 2), use FOIL: First, Outer, Inner, Last, then combine like terms. This produces a trinomial, such as x² + x − 6.

Question 37

Factoring: GCF and difference of squares

Accepted Answer

First pull out the Greatest Common Factor from every term. Recognize the difference-of-squares pattern, a² − b² = (a + b)(a − b), which lets you factor an expression like x² − 9 instantly as (x + 3)(x − 3).

Question 38

Consecutive integer problems

Accepted Answer

Represent unknown consecutive integers algebraically as n, n+1, n+2 (or n, n+2, n+4 for consecutive even or odd integers), then translate the word problem's relationship into an equation and solve for n.

Question 39

Area and perimeter formulas

Accepted Answer

Know area formulas for rectangles (length × width), triangles (½ × base × height), and circles (πr²), plus perimeter (sum of the sides) and circumference (2πr). Read carefully whether a question asks for area or perimeter — a common trap.

Question 40

Volume of prisms and cylinders

Accepted Answer

Volume of a rectangular prism = length × width × height. Volume of a cylinder = πr² × height (the area of the circular base times height). Keep units consistent and double-check whether the problem gives a diameter or a radius.

Question 41

Pythagorean theorem

Accepted Answer

In a right triangle, a² + b² = c², where c is the hypotenuse (the side opposite the right angle). Memorize common right-triangle triples (3-4-5, 5-12-13) to solve faster without a calculator.

Question 42

Similar triangles and scale factor

Accepted Answer

Similar triangles have equal corresponding angles and proportional corresponding sides. Set up a proportion between corresponding sides to solve for an unknown length using the scale factor between the two triangles.

Question 43

Angle relationship rules

Accepted Answer

Supplementary angles sum to 180°, complementary angles sum to 90°, and vertical angles (formed by two intersecting lines) are always equal. Angles that together form a straight line always sum to 180°.

Question 44

Coordinate geometry: midpoint, slope, and distance

Accepted Answer

The midpoint formula averages the x-coordinates and averages the y-coordinates of two points. The distance formula applies the Pythagorean theorem to the horizontal and vertical legs between two points. Both are frequently tested together with slope.

Question 45

Mean, median, mode, and range

Accepted Answer

Mean is the sum of values divided by the count; median is the middle value when the data is ordered; mode is the most frequent value; range is the highest value minus the lowest. Some SHSAT problems give the mean and ask you to work backward to find a missing value.

Question 46

Basic probability of a single event

Accepted Answer

Probability = number of favorable outcomes ÷ total possible outcomes, expressed as a fraction, decimal, or percent between 0 and 1 (or 0% and 100%).

Question 47

Compound probability and probability without replacement

Accepted Answer

For independent events, multiply the individual probabilities together. For 'without replacement' problems, the total number of outcomes shrinks after each draw, so recalculate the denominator for the second event before multiplying.

Question 48

Distance-rate-time word problems

Accepted Answer

Use distance = rate × time, and rearrange it to solve for rate or time as needed. Watch for problems involving two objects moving toward or away from each other, which require adding or comparing their rates.

Question 49

Translating word problems into equations

Accepted Answer

Identify the unknown and assign it a variable, then translate key words into operations: 'more than'/'increased by' means addition, 'less than'/'decreased by' means subtraction, 'times'/'of' means multiplication, and 'per'/'split' means division. Write the equation before solving.

Question 50

Grid-in question strategy

Accepted Answer

Grid-in questions have no answer choices, so there is no elimination to fall back on — always recheck your arithmetic before filling in the grid. Since no calculator is allowed on the SHSAT, estimate a reasonable range for the answer first to catch computation errors.

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SHSAT (NYC Specialized High Schools)