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HSPT Course: Free Sample Lessons

Sample chapters from the full HSPT course, grouped by section. Each one teaches a question type and ends with a practice question.

Updated October 2, 2026

Verbal Skills

synonyms · antonyms · analogies · classification · logical reasoning

Analogies: build a bridge sentence

Learn the bridge-sentence method for HSPT analogies, the links the test uses most, and the two traps that catch most students.

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Synonyms: define the word before you look

Learn to pin down a word's meaning in your own words, use word parts and a quick sentence when it's hazy, and skip the four kinds of near-miss wrong answer.

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Antonyms: define the word, then flip it

Learn to build an exact opposite from a word's meaning, use prefixes and charge to find it, and avoid the synonym trap that catches students on antonym questions.

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Function analogies: what the thing is for

Learn the main function links (tool and action, instrument and what it measures, protector and what it guards against) and how to reject choices about material, place or user.

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Part-to-whole analogies: which piece of what

Learn the four kinds of part-to-whole links, how to tell them apart, and how to reject reversed pairs, two-parts pairs and location pairs.

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Degree analogies: same idea, stronger form

Learn to spot pairs where the second word is a stronger or larger form of the first, and to reject opposites, equal-strength synonyms and reversed pairs.

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Cause-and-result analogies: what leads to what

Learn to spot pairs where the first word can bring about the second, keep the order straight, and reject pairs that prevent, reverse or merely go together.

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Classifications: name the narrowest group

Find the word that doesn't belong by naming the specific group three of the words share, even when all four come from the same topic.

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Classifications: sort by meaning or by word type

Spot the odd word out when three words share a meaning or a part of speech and the fourth breaks the pattern.

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Logic: what all, no and some guarantee

Decide which conclusion must follow from statements that use all, no or some, and avoid reversed and overreaching choices.

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Logic: line up comparisons in one direction

Solve order questions by turning every comparison the same way, placing the items on one line, and choosing only what the line proves.

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Logic: what an if-then rule guarantees

Use an if-then rule and one fact to find what must be true, and reject choices that run the rule backward or add a reason.

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Quantitative Skills

patterns · comparison · number reasoning

Number series: find the constant difference

Learn to spot a series that rises or falls by the same amount each step, and to continue it or fill a gap in it.

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Number series: find the multiplier

Learn to recognize a series that multiplies or divides by the same number each step, and continue it.

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Number series: split an alternating pattern

Learn to recognize two patterns sharing one series, solve each one, and continue the right one.

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Number series: when the gaps grow

Learn to continue a series whose gaps change by a steady amount, by finding the next gap first.

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Number series: add the previous two terms

Learn to continue a series where each term is the sum of the two before it, and to fill a gap by working backward.

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Number puzzles: work backward from the result

Learn to find a starting number by undoing each step of a number story in reverse order.

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Missing numbers: solve from the outside in

Learn to find a missing number inside parentheses by first finding what the whole group must equal.

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Made-up symbols: follow the rule exactly

Learn to evaluate a defined operation by putting each number into the right letter of the rule.

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Comparisons: decide which fraction is greater

Learn to compare two fractions quickly and accurately by cross-multiplying or using a common denominator.

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Comparisons: negatives and exponents

Learn to evaluate expressions that mix negative signs and exponents, and to order negative numbers correctly.

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Comparisons: area of rectangles and squares

Learn to compare the area of a rectangle with the area of a square by computing both, not by eyeballing side lengths.

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Comparisons: perimeter of rectangles and squares

Learn to compare the perimeters of a rectangle and a square without mixing perimeter up with area.

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Comparisons: test the whole range

Learn to compare a variable with a number when you only know its range, by testing the allowed values at both ends.

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Reading

main idea · inference · vocabulary in context · vocabulary (word meaning)

Inference: read what an action reveals

Learn to treat a character's action as a clue, explain it in your own words, and pick the choice that a detail in the scene actually supports.

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Character development: compare the before and after

Learn to track how a character's goal or attitude shifts from the start of a story to the end, and to choose the answer that names both ends of that change.

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Explicit detail: find the line that answers

Learn to turn a detail question into a search key, find the exact sentence that answers it, and match that sentence to a choice without falling for passage words used in the wrong place.

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Inference: connect clues and stop where they stop

Learn to combine two or more details to find a reason, apply a rule to a new case, or spot a conclusion that claims more than the passage supports.

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Theme: from what happens to what it means

Learn to turn the conflict and ending of a story or poem into one general sentence about life, and to cross off themes that are too absolute or rest on a single detail.

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Vocabulary in context: let the sentence define the word

Learn to work out what a word means in one particular sentence by using nearby clues, and to avoid the common meaning that doesn't fit.

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Main idea: the sentence that covers the whole passage

Learn to find the central point of a passage by checking that a choice covers every paragraph, without shrinking to one detail or stretching past what the writer says.

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Evidence: match the claim to the detail that tests it

Learn to read a claim exactly, then find the detail that supports it, the detail that challenges it, or the information that would help test it.

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Author's purpose: name the job and the target

Learn to identify why a writer wrote a whole passage or included one detail, by choosing an action word that matches the writing's tone and a target that matches its content.

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Argument: claim, reasons and the other side

Learn to break an argument into its claim, its reasons, its response to objections and its limits, so you can answer questions about what a writer recommends and how the writer handles disagreement.

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Sequence: find the anchor and read the order

Learn to answer questions about what happens first, next or before by finding the anchor event, reading the signal words around it, and keeping time order separate from the order of the sentences.

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Prediction: extend what the passage sets up

Learn to predict what a character will most likely do by following a stated plan, a pattern of behavior and the latest change in the character's attitude.

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Text structure: name what each part does

Learn to describe the job a paragraph, example or comparison does in a passage, such as giving an example, answering an objection or showing a limit, and to tell that job apart from what the part is about.

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Summary: keep the turn and the outcome

Learn to choose the summary that keeps a passage's most important parts in the right order: the situation, the key change and the outcome for a story, or the essential steps for a set of directions.

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Figurative language: what the comparison shows

Learn to work out what a simile, metaphor or other figure of speech emphasizes, and why an author might discuss a figurative phrase so readers don't take it literally.

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Viewpoint: keep the voices straight

Learn to tell the writer's own view from the views the writer reports, read the attitude words that show how the writer treats each side, and find where two speakers agree or disagree.

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Reading vocabulary: define the word before you look

Learn a quick method for HSPT Reading vocabulary questions: define the word yourself, then pick the choice with the same meaning, using word parts when you only half know it.

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Mathematics

arithmetic · number properties · algebra · measurement · geometry · statistics

Ratios: name the whole before you divide

Learn to tell a fraction of a group from a part-to-part ratio, so you always choose the right bottom number.

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Fractions: add with a common denominator

Learn to add fractions with different denominators by rewriting them over a common denominator, and to spot the wrong answers that skip that step.

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Fractions: divide by multiplying by the reciprocal

Learn to divide fractions with keep, change, flip, and to check your answer with a quick size test.

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Decimals: multiply and place the point

Learn to multiply decimals by working with whole numbers first and then placing the decimal point by counting.

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Percents: find a price after a discount

Learn to find a sale price quickly by building percents from 10% and 5%, and to avoid stopping at the discount amount.

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Percents: find the whole from a part

Learn to find a whole amount when you know a part of it and what percent that part is.

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Ratios: split a total into parts

Learn to share a total by a ratio using equal parts, and to answer for the group the question asks about.

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Rates: find the cost of one

Learn to solve same-price and same-rate questions by finding the unit rate first, then scaling up.

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Equations: solve in two steps

Learn to solve equations like ax + b = c by undoing each step on both sides, and to check your answer by substituting it back.

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Expressions: distribute and combine

Learn to evaluate and simplify expressions with parentheses, by substituting or by distributing and combining like terms.

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Geometry: find a missing triangle angle

Learn to find a missing angle in any triangle, including right and isosceles triangles, using the 180° total.

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Area: subtract the part that is cut out

Learn to find the area left over when one rectangle sits inside another, including frames and paths.

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Volume: from cubic centimeters to liters

Learn to find the volume of a box-shaped container and convert it from cubic centimeters to liters.

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Averages: find a missing value

Learn to find a missing value from a mean by working with totals, and to find the score needed to reach a new average.

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Data: find the median of an unordered list

Learn to find the median of a data set by ordering it first, for both odd and even numbers of values.

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Probability: when the event does not happen

Learn to find the probability that an event does not happen, by counting directly or using the complement.

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Time: add minutes to a clock time

Learn to find an end time or a length of time on a 12-hour clock, carrying 60 minutes into an hour and keeping a.m. and p.m. straight.

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Language

grammar and usage · punctuation · capitalization · spelling · composition

Subject-verb agreement: find the true subject

Learn to find the real subject of a sentence, even when a phrase, a there-is opening or an either/or pair hides it, and match the verb to it.

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Pronoun case: cover up the other name

Learn when to use subject pronouns like he and she and object pronouns like him and her, especially in pairs, after prepositions and in phrases that rename a noun.

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Verb forms: match the time and the form

Learn to choose verb forms that fit the time of a sentence: had for the earlier of two past actions, correct irregular forms, matching verbs in a series, and will in if-then results.

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Modifiers: put the description next to its target

Learn to spot dangling and misplaced modifiers, including opening -ing phrases, with-phrases, which-clauses and the word only, and pick the sentence that says what it means.

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Parallel structure: make every item match

Learn to keep the items in a list or a paired construction in the same grammatical form: -ing words, to-verbs, plain verbs or adjectives.

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Sentence boundaries: count the complete thoughts, then check the joint

Learn to tell a complete sentence from a fragment or a run-on, and to pick the punctuation that correctly joins two complete thoughts.

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Possessives: spell the owner first, then add the apostrophe

Learn to write possessives for one owner, for several owners and for irregular plurals, and to keep its and it’s straight.

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Commas: give every comma a job

Learn the comma jobs HSPT Language questions test, and how to spot a comma that has no job and doesn't belong.

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Capitalization: capitals mark specific names

Learn which words take capital letters, including the tricky cases: school subjects, titles, compass directions and place names.

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Spelling: use the patterns, then check the hard spots

Learn the spelling patterns behind many commonly missed words, and a quick way to check the letters that usually go wrong.

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Word usage: let the sentence choose the word

Learn to pick the right word from look-alike and sound-alike choices by checking the job the blank does, then the meaning the sentence needs.

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Transitions: name the link between two sentences

Learn to read two sentences, name how they connect, and choose the transition that signals that exact connection.

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Supporting details: keep the paragraph on its job

Learn to name a paragraph's purpose and pick the detail that serves it, or spot the sentence that doesn't belong.

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Combining sentences: keep every fact, add nothing

Learn to choose the combined sentence that keeps every fact, keeps the link between them and says it without extra words.

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