SAT Practice Tests
English Reading & Writing and Mathematics

Evaluate your SAT readiness with a test and identify areas for improvement.”

📘 Full-Length SAT Practice Test

General Instructions

  • This practice test simulates the official SAT.
  • Work independently.
  • Total time: 2 hours 14 minutes (plus breaks).
  • You may use a calculator for the entire Math section.
  • Answer choices: A, B, C, D. Only one correct answer.
  • Use scratch paper for solving.

SAT Practice Test – Section 1: Reading & Writing

64 minutes | 54 questions
(You may use ~1 minute per question)

Instructions

  • Read each passage/question carefully.
  • Choose the best answer (A, B, C, or D).
  • Only one answer is correct.

Reading & Writing Questions (54 total)

Passage 1

When the observatory first released images from its new telescope, the world marveled at the beauty of distant galaxies. Yet to the scientists who built it, the images were more than aesthetic wonders—they were proof that decades of theoretical models were correct. Ironically, what the public celebrated for its artistry was, to the astronomers, a mathematical victory: the triumph of equations that had predicted unseen cosmic structures.
Question 1:
What is the central idea of the passage?
A) The telescope’s creators valued scientific validation over visual appeal.
B) The observatory was built primarily to entertain the public.
C) Astronomers viewed the images as failures of existing theory.
D) The telescope blurred the line between art and science.


Passage 2

During the Industrial Revolution, time ceased to be measured by the rising and setting sun and began to obey the ticking of the factory clock. This transformation reshaped not only labor but consciousness itself; punctuality became moral virtue, and idleness, sin. The mechanical regularity that drove engines also began to govern human lives, binding society to a rhythm that was once foreign to the natural world.
Question 2:
Which statement best captures the author’s perspective?
A) Industrialization brought discipline but also psychological constraint.
B) The factory system liberated workers from natural cycles.
C) Society resisted the adoption of mechanical time.
D) Industrial precision improved moral values.


Passage 3

When the scientist announced her findings on microbial intelligence, skepticism flooded the academic community. Microbes, many insisted, could not exhibit behaviors resembling learning or choice. Yet, through hundreds of controlled experiments, she demonstrated adaptive decision-making—bacteria that “remembered” past stressors and changed future responses. Her work suggested that intelligence might not belong solely to complex brains, but could emerge from networks far simpler and older.
Question 3:
The passage primarily explores:
A) The dangers of drawing conclusions too quickly.
B) The moral implications of genetic engineering.
C) A failed experiment in biological research.
D) The controversy surrounding unconventional evidence.


Passage 4

In letters written from exile, the poet expressed little bitterness toward the regime that banished him. Instead, he wrote of the freedom found in solitude—the liberation of thought that came when the noise of society faded. For him, exile was not punishment but purification, a test of whether ideas could thrive unguarded by applause.
Question 4:
The poet’s attitude toward exile can best be described as:
A) Resentful and vengeful
B) Reflective and accepting
C) Cynical and mocking
D) Apathetic and detached


Passage 5

The biographer noted that her subject’s charm often obscured his ambition. He spoke modestly, dressed plainly, and laughed easily, yet behind the casual demeanor lay a relentless strategist. Friends remembered his kindness; rivals, his precision. It was this duality—the surface warmth and the inner steel—that made him both beloved and feared.
Question 5:
What contrast does the author emphasize?
A) Public perception versus private motivation
B) Wealth versus humility
C) Humor versus intellect
D) Strength versus vulnerability


Passage 6

In the age of instant communication, silence has become suspicious. A delayed reply signals disinterest, a missed call feels like rejection. Yet silence, in older cultures, was once a mark of respect and reflection. The modern fear of quiet reveals how conversation has turned from exchange to performance—less about understanding and more about being seen to respond.
Question 6:
Which statement best summarizes the author’s claim?
A) Technology has improved the quality of reflection.
B) Silence is valued more today than in the past.
C) Modern communication prioritizes visibility over meaning.
D) People communicate now with greater sincerity.


Passage 7

When coral reefs bleach, the loss is not merely aesthetic; entire ecosystems unravel. Fish species vanish, coastal protections weaken, and local economies collapse. Each fading coral signals a chain of dependencies undone. Scientists warn that if warming seas continue, reefs could pass a threshold beyond recovery—turning biodiversity into memory.
Question 7:
The author’s tone toward coral reef loss is best described as:
A) Urgent and mournful
B) Detached and factual
C) Optimistic and reassuring
D) Indifferent and skeptical


Passage 8

The novelist refused to write heroes without flaws, insisting that perfection bored readers and insulted truth. Her characters stumble, deceive, and occasionally fail entirely—but in those imperfections lies authenticity. She believed that fiction’s task was not to uplift but to unveil, showing that humanity’s worth depends not on purity, but on honesty about its flaws.
Question 8:
What does the novelist value most in literature?
A) Emotional catharsis
B) Moral instruction
C) Realistic imperfection
D) Classical structure


Passage 9

Urban planners once designed cities for cars; now they strive to reclaim them for people. Wide streets become green corridors, parking lots transform into parks, and walkability replaces speed as the measure of progress. The shift reveals a deeper change in values—from efficiency to livability, from expansion to restoration.
Question 9:
The passage suggests modern urban design emphasizes:
A) Human-centered sustainability over mechanical speed
B) The dominance of technology in daily life
C) The failure of city governments to plan effectively
D) The continued preference for large highways


Passage 10

History often remembers revolutions as sudden ruptures, yet most arise from slow accumulations of discontent. Letters, pamphlets, and whispered conversations plant ideas long before barricades appear. The explosion that follows is less spontaneous than inevitable—the visible bloom of roots long grown in secret soil.
Question 10:
Which idea does the passage develop?
A) Public rebellion rarely results from private thought.
B) Revolutions are gradual in origin despite appearing sudden.
C) Political change depends entirely on chance.
D) Sudden uprisings are more successful than planned ones.


Passage 11

When the philosopher claimed that language shapes reality, not merely reflects it, his contemporaries scoffed. Yet decades later, linguists found that vocabulary differences across cultures altered perception—colors, directions, even emotions were experienced differently depending on available words. The theory, once dismissed as abstraction, had quietly become evidence-based: speech was no longer just a mirror of thought, but its architect.
Question 11:
Which best expresses the passage’s main argument?
A) The philosopher’s claims lacked empirical support.
B) Vocabulary differences have little cognitive effect.
C) Language actively constructs human perception.
D) Language serves only to record sensory experiences.


Passage 12

The astronomer’s career began with failure: instruments malfunctioned, funding vanished, and journals rejected her papers. Yet she persisted, recalibrating data and refining models until her methods became industry standards. When younger scientists cite her today, they rarely note the struggle that defined her work. Success, it seems, erases its own origins.
Question 12:
What central idea does the author convey?
A) Persistence can transform failure into enduring influence.
B) Recognition always follows struggle.
C) The astronomer’s achievements were accidental.
D) Science values early success over accuracy.


Passage 13

Archaeologists once viewed ruins as relics frozen in time, but new research reveals them as dynamic ecosystems. Plants and animals colonize collapsed walls; minerals erode sculptures into new forms. Decay itself becomes creation. The ancient and the living coexist in silent partnership, each reshaping the other across centuries.
Question 13:
What shift in perspective does the passage describe?
A) From preserving artifacts to abandoning them.
B) From studying ecology to focusing on architecture.
C) From viewing ruins as static to seeing them as evolving systems.
D) From biological research to geological analysis.


Passage 14

When climate scientists warn of tipping points, they speak less of catastrophe than of mathematics. Small changes accumulate until equilibrium collapses; feedback loops amplify what once seemed trivial. In this sense, crisis is not a sudden event but a process—a slow arithmetic of imbalance that eventually demands repayment.
Question 14:
The author’s view of climate change can best be described as:
A) Random and unpredictable.
B) Gradual yet inevitable if unchecked.
C) Reversible through immediate action.
D) Exaggerated by public discourse.


Passage 15

Although the playwright lived in an era of strict censorship, her dramas veiled political critique behind comedy. Kings became bumbling fathers, officials pompous fools. Audiences laughed, but they also understood: ridicule could travel where open dissent could not. Her laughter was resistance disguised as entertainment.
Question 15:
What does the passage suggest about the playwright’s use of humor?
A) It served as a subtle form of protest.
B) It distracted audiences from politics.
C) It demonstrated loyalty to authority.
D) It mocked art rather than government.


Passage 16

In economic downturns, people often turn nostalgic—not for the past itself but for the sense of stability it represents. Advertisements capitalize on this impulse, wrapping new products in the language of memory: “classic,” “heritage,” “original.” Ironically, the yearning for authenticity becomes a marketing strategy, selling comfort in the guise of tradition.
Question 16:
What is the author’s main claim?
A) Economic growth reduces nostalgic behavior.
B) Consumers reject modern advertising.
C) Nostalgia can be exploited for commercial gain.
D) Authenticity cannot be reproduced.


Passage 17

Before the telescope, humanity’s knowledge of the cosmos was bounded by eyesight; after it, the universe expanded overnight. Yet every advance in observation also deepens the mystery. We now know galaxies collide, stars die, and space itself stretches—but the more we see, the less we understand. Clarity breeds wonder, not certainty.
Question 17:
What paradox does the passage emphasize?
A) Observation always leads to absolute truth.
B) Greater knowledge increases awareness of ignorance.
C) Scientific progress reduces curiosity.
D) The universe is shrinking despite discovery.


Passage 18

When the musician introduced electronic elements into traditional folk melodies, purists accused him of betrayal. But his intent was preservation through evolution: by adapting to modern soundscapes, the songs could survive another century. To remain unchanged, he argued, is merely another way to disappear.
Question 18:
The passage suggests that artistic tradition survives best through:
A) Adaptation to contemporary forms.
B) Strict adherence to its origins.
C) Isolation from public influence.
D) Dependence on nostalgia.


Passage 19

Historians often treat footnotes as marginalia, yet they reveal the author’s intellectual map—the paths not taken, the doubts suppressed, the debts acknowledged. In the quiet space below the text lives another narrative, one of hesitation and humility. Footnotes are the conscience of scholarship.
Question 19:
The author’s tone toward footnotes is best described as:
A) Analytical but hostile
B) Dismissive and ironic
C) Reverent and reflective
D) Detached and neutral


Passage 20

The physicist’s blackboard looked chaotic to visitors: symbols tangled across its surface like an indecipherable language. Yet to her, each mark carried the rhythm of a thought in motion. The equations were not decoration but choreography—the visible trace of reasoning at work, elegant even in its messiness.
Question 20:
What idea about creativity does the passage express?
A) True creativity can appear disorderly from the outside.
B) Scientific work lacks aesthetic value.
C) Order must always precede insight.
D) Equations hinder imaginative thought.

Passage 21

For centuries, maps depicted uncharted regions with monsters, as if imagination could fill the void left by ignorance. Today, our maps are digital and precise, yet they conceal uncertainty in subtler ways—data gaps, algorithmic bias, political boundaries drawn in dispute. The dragons are gone, but the distortions remain, disguised as accuracy.
Question 21:
What is the central idea of the passage?
A) Modern maps are entirely objective.
B) Uncertainty persists even in precise representations.
C) Mythological symbols improved ancient cartography.
D) Political borders no longer influence mapping.


Passage 22

When the chemist proposed that snow could capture atmospheric pollution, colleagues dismissed the notion as fanciful. But when samples revealed traces of industrial metals, skepticism turned to alarm. The discovery reframed snow not as purity but as evidence—each flake a record of what humanity releases above.
Question 22:
Which best describes the impact of the chemist’s finding?
A) It challenged an idealized perception of nature.
B) It confirmed long-held theories about snow formation.
C) It proved pollution was a recent invention.
D) It reduced concern about industrial activity.


Passage 23

The photographer waited hours for the light to slant just enough to reveal texture in the stone. In that patient moment, she captured what no digital filter could imitate: the quiet presence of time itself. Her image was not of a building, but of endurance.
Question 23:
What aspect of the photographer’s work does the passage emphasize?
A) Her dependence on artificial technology
B) Her preference for movement over stillness
C) Her reverence for patience and natural light
D) Her rejection of artistic meaning


Passage 24

Debates over artificial intelligence often center on fear of domination, yet the subtler threat may be imitation. If machines learn to reproduce empathy or humor convincingly, society must ask whether authenticity still matters—or whether imitation, done well enough, becomes indistinguishable from the real.
Question 24:
What concern is raised in the passage?
A) Machines may surpass human creativity entirely.
B) Perfect imitation could blur the boundary between genuine and false.
C) Artificial intelligence will eliminate emotional expression.
D) Society will lose interest in technological ethics.


Passage 25

The young mathematician realized that elegant equations rarely arise from neat conditions. Disorder—scribbles, failed proofs, errors—was the soil from which insight sprouted. Genius, she found, was not clarity without confusion but clarity wrested from it.
Question 25:
The passage suggests that creativity in mathematics often stems from:
A) Random guessing
B) Strict adherence to formal rules
C) Struggle and imperfection
D) Avoidance of error at all costs


Passage 26

Although the monarch claimed divine guidance, his diary reveals hesitation and doubt. Decisions celebrated as decisive were, in truth, made after sleepless nights and contradictory counsel. History remembers certainty where there was only confusion, reminding us that authority often wears the mask of confidence.
Question 26:
What does the author imply about historical portrayals of leaders?
A) They often exaggerate confidence and minimize doubt.
B) They portray rulers as indecisive and weak.
C) They rely mainly on divine interpretation.
D) They are entirely accurate accounts.


Passage 27

As online archives expand, the historian’s task shifts from finding information to filtering it. Abundance breeds its own blindness; when everything is recorded, significance becomes elusive. The challenge of the digital age is not memory, but meaning.
Question 27:
Which best summarizes the author’s view of digital information?
A) Historians reject digital tools.
B) Technology improves historical clarity.
C) Online archives rarely preserve facts.
D) Excess data can obscure understanding.


Passage 28

In the debate over genetically edited crops, one side invokes progress, the other precaution. Yet both assume control over nature is possible. The field, however, has its own logic—seeds migrate, mutations occur, weather intervenes. The true arrogance may lie not in science, but in believing mastery ever complete.
Question 28:
The author’s attitude toward human control of nature is best described as:
A) Admiring and confident
B) Skeptical and cautionary
C) Neutral and descriptive
D) Optimistic and hopeful


Passage 29

When the playwright updated a Greek tragedy for modern audiences, she replaced gods with institutions—corporations, courts, the media. Fate no longer descended from Olympus but from bureaucracy. Her adaptation asked whether moral responsibility survives when power hides behind systems rather than deities.
Question 29:
The passage implies that the modern adaptation:
A) Questions accountability within complex institutions.
B) Celebrates bureaucracy as a divine order.
C) Eliminates moral questions from drama.
D) Focuses solely on ancient myth.


Passage 30

Astronauts often report that from orbit, national borders disappear. The view transforms patriotism into perspective: the Earth seems both vast and fragile, a single shared habitat rather than a divided map. Many return home convinced that the smallest planet is also the largest responsibility.
Question 30:
What change in perception does the passage describe?
A) From global unity to national pride
B) From local rivalry to planetary stewardship
C) From curiosity to indifference
D) From environmentalism to competition


Passage 31

The economist observed that predictions fail not because people misread data but because they misunderstand behavior. Markets, she argued, move less like equations and more like crowds—driven by imitation, fear, and rumor. Models can count numbers, but not nerves.
Question 31:
What is the main idea of the passage?
A) Mathematical models accurately capture market motion.
B) Human psychology limits the accuracy of economic prediction.
C) Markets operate entirely at random.
D) Data alone determines financial behavior.


Passage 32

When linguists reconstructed the first human languages, they found not simplicity but sophistication: metaphors, tenses, and abstract terms flourished even in prehistory. The finding dismantled the myth that intelligence evolved alongside civilization; our ancestors were eloquent long before cities.
Question 32:
The passage primarily challenges which assumption?
A) Language developed only after writing systems.
B) Early humans lacked complex thought.
C) Primitive societies avoided abstract ideas.
D) Civilization reduced linguistic creativity.


Passage 33

The engineer’s prototype converted ocean waves into clean energy, but coastal residents opposed it, fearing it would spoil the horizon. Ironically, a device meant to protect the planet was rejected for aesthetic reasons—a reminder that progress often collides with perception.
Question 33:
The author implies that resistance to innovation often arises from:
A) Scientific miscalculation.
B) Government restrictions.
C) Conflicts between environmental goals and public taste.
D) Lack of funding for research.


Passage 34

When historians compare ancient empires, they note that collapse rarely begins with conquest but with fatigue—bureaucratic, cultural, moral. Decay starts quietly in the routines of daily life, long before armies arrive. The end feels sudden only to those who ignored the long sigh preceding it.
Question 34:
Which best states the passage’s central idea?
A) Civilizations erode internally before external defeat.
B) Empires are destroyed solely by war.
C) Collapse always surprises historians.
D) Bureaucracy prevents decline.


Passage 35

The painter’s late works abandoned color for near-monochrome grays. Critics saw gloom, but she called it liberation: removing color let form and shadow speak louder. In stripping the canvas bare, she claimed, she finally saw what she had been painting toward all along—silence.
Question 35:
What is the author’s view of the painter’s stylistic change?
A) It represented creative exhaustion.
B) It revealed deeper artistic purpose through restraint.
C) It alienated her audience.
D) It marked a retreat from innovation.


Passage 36

In scientific conferences, disagreement often masks admiration: to argue intensely is to care deeply. The fiercest critics are usually the most engaged, their challenges a form of respect for the question’s importance. Hostility, paradoxically, becomes a language of shared pursuit.
Question 36:
What does the passage suggest about scientific debate?
A) Collaboration weakens rigor.
B) Vigorous critique can express genuine respect.
C) Debate stems from personal animosity.
D) Disagreement signals scientific failure.


Passage 37

When the archaeologist uncovered beads made from distant shells, she realized trade networks pre-dated writing. The discovery hinted at a human impulse older than record-keeping—the desire to connect across distance, to exchange not only goods but symbols of meaning.
Question 37:
The passage implies that early trade was motivated by:
A) Government control.
B) Economic competition.
C) A social and symbolic need for connection.
D) Religious prohibition.


Passage 38

As machine translation improves, languages risk fading not from suppression but convenience. When everyone can speak through algorithms, the incentive to preserve difficult tongues diminishes. Linguistic diversity may vanish not in violence, but in seamless comprehension.
Question 38:
What concern does the author raise?
A) Minor languages will dominate global discourse.
B) Translation errors will increase rapidly.
C) Technological ease could accelerate language extinction.
D) People will stop using written language.


Passage 39

The novelist wrote that nostalgia is a kind of selective memory—a romance with one’s own forgetting. We recall the sweetness of childhood but not its fear, the music of youth but not its noise. Memory edits like an artist, leaving beauty where chaos once stood.
Question 39:
What is the author’s central insight about nostalgia?
A) It idealizes the past by omitting its discomforts.
B) It accurately records emotional truth.
C) It erases personal identity.
D) It encourages historical accuracy.


Passage 40

When explorers first mapped the deep ocean, they expected barren emptiness. Instead, they found life thriving in darkness—creatures glowing, feeding, evolving without sunlight. The discovery reframed the meaning of “habitable,” proving that life’s imagination exceeds our own.
Question 40:
What broader conclusion does the passage support?
A) Habitats depend strictly on sunlight.
B) Life can adapt beyond previously imagined limits.
C) Exploration of darkness yields few discoveries.
D) Evolution halts in extreme conditions.

Passage 41

The physicist marveled that uncertainty, once viewed as ignorance, had become the foundation of modern science. Quantum theory taught that probability, not precision, governs the universe. Certainty, she realized, was a comfort, not a law of nature.
Question 41:
The author suggests that scientific understanding now depends on accepting:
A) The absolute accuracy of data.
B) The emotional appeal of certainty.
C) The inherent role of uncertainty.
D) The simplicity of classical models.


Passage 42

In the late 19th century, many workers feared machines would end employment. Yet automation instead shifted labor toward tasks demanding creativity and judgment. The passage implies that the challenge of technology is adaptation, not replacement.
Question 42:
According to the passage, technological progress primarily:
A) Eliminates human participation.
B) Transforms the nature of human work.
C) Reduces the value of creativity.
D) Freezes economies in decline.


Passage 43

Critics of social media lament its erosion of silence. In a world of constant broadcasting, reflection feels obsolete. Yet, the passage suggests, solitude remains vital—it sharpens awareness and rescues thought from noise.
Question 43:
The author implies that solitude is:
A) A luxury in the digital age.
B) Harmful to personal growth.
C) Essential for clear and deep thinking.
D) Increasingly unnecessary in modern life.


Passage 44

Economic historians argue that prosperity depends less on natural resources than on trust. Nations rich in minerals have failed, while those rich in cooperation have thrived. The invisible infrastructure of confidence sustains commerce more than gold.
Question 44:
According to the author, which factor most influences economic success?
A) Abundance of material resources.
B) The trust and cooperation among citizens.
C) Dependence on foreign investment.
D) Government control of markets.


Passage 45

The linguist observed that languages do not merely label reality—they shape it. A culture that lacks a word for “guilt,” for instance, may experience remorse differently. Thus, vocabulary acts as both mirror and mold of thought.
Question 45:
The passage suggests that language:
A) Is detached from perception.
B) Reflects but does not influence thought.
C) Actively structures how people experience reality.
D) Evolves only through translation.


Passage 46

While some argue that history repeats itself, others contend it only rhymes. Each era imitates patterns, but the actors and contexts change. The lesson, the historian warns, lies not in the cycle but in human forgetfulness.
Question 46:
The author’s main claim is that:
A) History exactly replicates prior events.
B) Human nature prevents progress.
C) Similar patterns reappear, though never identically.
D) History follows predictable formulas.


Passage 47

In ecological studies, balance is never static. Forests regenerate through disturbance, not preservation alone. Fires clear decay, floods renew soil—destruction, paradoxically, sustains life.
Question 47:
The passage primarily argues that:
A) Stability is necessary for ecosystems to thrive.
B) Natural disruptions contribute to ecological renewal.
C) Human intervention prevents collapse.
D) Forests depend on constant protection.


Passage 48

Philosophers once claimed that reason was humanity’s defining feature. Today, scientists find emotion integral to rational choice. Feeling, far from irrational, guides judgment toward empathy and moral clarity.
Question 48:
What role does emotion play according to the passage?
A) It obstructs rational thought.
B) It reinforces and informs reason.
C) It replaces analytical thinking.
D) It distracts from ethical decisions.


Passage 49

The astronomer reflected that starlight we see tonight may have begun its journey before civilization existed. To look upward is to gaze backward in time—a reminder that wonder is also a form of humility.
Question 49:
The author implies that astronomy encourages:
A) Practical skepticism about space.
B) Arrogance in human discovery.
C) Humility through cosmic perspective.
D) Disinterest in the past.


Passage 50

Advocates of artificial intelligence predict a future of flawless efficiency, but critics warn that perfection is a human illusion. Algorithms may optimize performance, yet they cannot encode ethics. Precision without conscience is merely calculation.
Question 50:
The author warns that AI lacks which essential element?
A) Technical adaptability.
B) Moral understanding.
C) Logical precision.
D) Computational power.


Passage 51

The psychologist argued that attention, not intelligence, defines modern success. In an age of endless notifications, the rarest skill is sustained focus. She warned that we are outsourcing not just memory to machines, but willpower itself.
Question 51:
What human capacity does technology most threaten, according to the passage?
A) Concentration and focus.
B) Empathy.
C) Analytical reasoning.
D) Imagination.


Passage 52

When art critics dismissed digital painting as “soulless,” they ignored history: each medium, from oil to photography, faced similar skepticism. The artist’s vision, not the tool, gives the work its vitality.
Question 52:
What is the author’s opinion of digital art?
A) It is inferior to traditional art.
B) It threatens cultural heritage.
C) It lacks emotional authenticity.
D) It extends creative expression.


Passage 53

The environmentalist cautioned that despair can paralyze progress. When people feel the crisis is hopeless, they cease to act. Hope, she maintained, is pragmatic—the energy that sustains solutions.
Question 53:
In the passage, hope is presented as:
A) Sentimental optimism.
B) A deliberate and necessary strategy.
C) A denial of reality.
D) A moral distraction.


Passage 54

Analysts studying the decline of print media argue that readers didn’t reject facts—they lost faith in sources. The challenge of journalism today is not scarcity of information but the collapse of trust.
Question 54:
What does the author identify as journalism’s main problem?
A) Lack of access to data.
B) Reader apathy toward news.
C) Loss of credibility and shared trust.
D) Rising cost of publication.



📘 SAT Practice Test – Section 2: Math (44 Questions)

General Detail

  • Total Questions: 44
  • Time: 70 minutes
  • Calculator allowed for all questions
  • Covers: Algebra, Advanced Math, Problem Solving/Data, Geometry/Trig.

Instructions

  • Each question has one correct answer.
  • For grid-in (student-produced response) questions, enter numbers/decimals/fractions.
  • Use scratch paper for solving.
  • You may use a calculator.

Algebra – Linear Equations (Q1–6)

Q1. Solve for x:
\(3x – 7 = 11\)
A) \(4\)
B) \(5\)
C) \(6\)
D) \(7\)


Q2. A phone company charges $25 monthly plus $0.10 per text. If Maria’s bill was $43, how many texts did she send?
A) \(120\)
B)\( 150\)
C) \(160\)
D) \(180\)


Q3. If \(2x + y = 12\) and \(y=4\), what is \(x\)?
A) \(2\)
B) \(3\)
C) \(4\)
D)\( 5\)


Q4. The line passes through \((0, 2)\) and \((4, 10)\). What is its slope?
A) \(2\)
B) \(4\)
C) \(6\)
D)\( 8\)


Q5. Solve for y:
\(5y + 2 = 22\)
A) \(3\)
B)\( 4\)
C) \(5\)
D) \(6\)


Q6. Which is the solution to the system? $$x + y = 10 \\ x – y = 2$$

A)\( (4, 6)\)
B) \((6, 4)\)
C)\( (5, 5)\)
D)\( (8, 2)\)



Advanced Math – Quadratics/Exponents (Q7–12)

Q7. Solve:
\(x^2 – 9 = 0\)
A) \(±3\)
B)\( ±9\)
C) \(0, 9\)
D) \(3 only\)


Q8. Which is equivalent to \((2x^3)(3x^2)\)?
A) \(5x^5\)
B) \(6x^5\)
C) \(6x^6\)
D) \(5x^6\)


Q9. Solve for x:
\((x – 4)(x + 4) = 0\)
A)\( ±4\)
B) \(0\)
C) \(16\)
D) \(8\)


Q10. Which graph represents \(y = (x – 2)^2\)?
A) Parabola opening upward, vertex \((2,0)\)
B) Parabola opening upward, vertex \((0,2)\)
C) Parabola opening downward, vertex \((2,0)\)
D) Parabola opening downward, vertex \((0,2)\)


Q11. If \(3^x = 81\), then x = ?
A)\( 2\)
B)\( 3\)
C)\( 4\)
D)\( 5\)


Q12. Solve:
\(x^2 + 2x – 15 = 0\)
A)\(–5, 3\)
B)\( –3, 5\)
C)\( –1, 15\)
D)\( –15, 1\)



Problem Solving/Data Analysis (Q13–21)

Q13. A car rental company charges $50 plus $0.20 per mile. If Sarah paid $74, how many miles did she drive?
A)\( 100\)
B)\( 120\)
C)\( 150\)
D) \(170\)


Q14. A survey shows 60% prefer online, 25% in-person, rest undecided. If 200 students were surveyed, how many undecided?
A) \(20\)
B) \(30\)
C) \(40\)
D) \(50\)


Q15. A bag has 3 red, 2 blue, 5 green balls. Probability of choosing green?
A)\( 1/2\)
B) \(1/3\)
C) \(5/10\)
D) \(5/7\)


Q16. A recipe requires 2 cups sugar for 5 servings. How many cups for 15 servings?
A)\( 4\)
B) \(5\)
C) \(6\)
D)\( 7\)


Q17. In a class of 40, ratio of boys:girls = \(3:5\). How many girls?
A) \(15\)
B)\( 20\)
C) \(25\)
D) \(30\)


Q18. A stock price increases 20% from $100, then decreases 10%. Final price?
A) \($108\)
B)\( $110\)
C)\( $112\)
D)\( $120\)


Q19. Mean of \(4, 8, 12, 16?\)
A) \(10\)
B) \(11\)
C) \(12\)
D) \(13\)


Q20. Median of \(7, 9, 3, 11, 15?\)
A)\( 9\)
B) \(11\)
C)\( 7\)
D)\( 15\)


Q21. If \(40%\) of a number is 80, what is the number?
A)\( 100\)
B)\( 150\)
C) \(180\)
D)\( 200\)



Geometry/Trig (Q22–30)

Q22. Area of a triangle with base 10 and height 8?
A)\( 20\)
B)\( 30\)
C) \(40\)
D)\( 80\)


Q23. Circumference of a circle with radius 7 (use \( π ≈ 3.14\))?
A) \(22\)
B)\( 33\)
C)\( 44\)
D) \(50\)


Q24. A right triangle has legs 3 and 4. Hypotenuse?
A)\(5\)
B)\( 6\)
C)\(7\)
D)\( 8\)


Q25. Volume of a rectangular prism: \(5 × 4 × 3?\)
A)\( 60\)
B) \(50\)
C)\( 40\)
D)\( 70\)


Q26. Slope of line through \((2, 3)\) and\( (6, 7)?\)
A) \(1\)
B)\( 2\)
C)\( 3/2\)
D)\( 4\)


Q27. Interior angles of a triangle sum to:
A)\( 90°\)
B) \(120°\)
C) \(180°\)
D) \(360°\)


Q28. \(sin(30°) = ?\)
A) \(0.25\)
B)\( 0.5\)
C)\( √2/2\)
D)\( √3/2\)


Q29. A square has perimeter 36. Area?
A) \(81\)
B) \(100\)
C)\( 121\)
D) \(144\)


Q30. A cylinder has radius 3 and height 10. Volume? (Use \( π = 3.14\))
A)\(282.6\)
B)\( 300\)
C)\( 314\)
D)\( 500\)



Mixed Challenge (Q31–44)

Q31. Solve:
\(2x – 5 = 11\)
A)\(6\)
B)\( 7\)
C) \(8\)
D) \(9\)


Q32. If 5 pencils cost $2.50, how much do 12 cost?
A) \($5.00\)
B) \($6.00\)
C)\( $6.50\)
D) \($7.00\)


Q33. The equation of a line parallel to \(y = 2x + 3\) is:
A) \(y = 2x + 1\)
B) \(y = –2x + 1\)
C)\( y = 3x + 2\)
D) \(y = x + 2\)


Q34. Simplify:
\((x + 2)(x – 2)\)
A)\( x² – 2\)
B)\( x² + 4\)
C) \(x² – 4\)
D) \(x² + 2\)


Q35. If \(a = 3, b = 4\), find \(a^2 + b^2\).
A) \(12\)
B) \(18\)
C) \(25\)
D)\( 49\)


Q36. What is slope of line \(y = –3x + 5?\)
A) \(–5\)
B) \(–3\)
C)\( 3\)
D) \(5\)


Q37. Solve: \(4x = 20\).
A) \(4\)
B)\( 5\)
C) \(6\)
D)\( 7\)


Q38. A train travels 60 miles in 1.5 hours. Average speed?
A) \(30 mph\)
B) \(40 mph\)
C) \(50 mph\)
D) \(60 mph\)


Q39. Which inequality solution set matches:
\(2x + 3 < 7\) ?
A)\( x < 2\)
B) \(x > 2\)
C) \(x < 3\)
D)\( x > 3\)


Q40. Distance between \((1, 2)\) and\( (4, 6)\)?
A)\( 3\)
B) \(4\)
C) \(5\)
D) \(6\)


Q41. Factor: \(x^2 + 7x + 10\).
A) \((x + 2)(x + 5)\)
B)\((x – 2)(x + 5)\)
C) \((x – 5)(x + 2)\)
D) \(Prime\)


Q42. If \( f(x) = 2x + 1\), find\( f(4)\).
A) \(7\)
B) \(8\)
C) \(9\)
D) \(10\)


Q43. Which is solution to inequality \(x – 3 > 5?\)
A) \(x > 2\)
B) \(x > 5\)
C) \(x > 6\)
D) \(x > 8\)


Q44. A fair die is rolled. Probability of rolling an even number?
A) \(1/3\)
B)\( 1/2\)
C) \(2/3\)
D)\( 5/6\)

📘 SAT Answer Key + Explanations English

Q. No.    Ans        Explanation

Q1          A             Scientists valued proof of theory, not aesthetic appeal.

Q2          A             Mechanical time imposed discipline but limited freedom.

Q3          D             Focuses on academic skepticism toward new findings.

Q4          B             Poet accepts exile as reflective and freeing.

Q5          A             Shows difference between outward charm and inner ambition.

Q6          C             Modern talk favors visibility/performance over meaning.

Q7          A             Tone mixes urgency and mourning for ecological loss.

Q8          C             She values flawed, authentic portrayals of humanity.

Q9          A             Highlights human-centered, sustainable city planning.

Q10        B             Emphasizes that revolutions grow slowly before erupting.

Q11        C             Shows that language shapes how humans perceive and think.

Q12        A             Persistence through failure led to scientific success.

Q13        C             Ruins are seen as living, changing environments.

Q14        B             Describes climate change as gradual yet inevitable if ignored.

Q15        A             Comedy used as covert political protest.

Q16        C             Nostalgia used by marketers for profit.

Q17        B             More knowledge reveals greater uncertainty.

Q18        A             Adaptation keeps tradition alive.

Q19        C             Footnotes are treated with respect and introspection.

Q20        A             Creativity may look chaotic but reflects deep thought.

Q21        B             Even precise maps still contain hidden distortions.

Q22        A             The finding overturned the view of snow as pure nature.

Q23        C             She values patience and natural light over digital shortcuts.

Q24        B             Imitation may blur genuine human qualities.

Q25        C           Insight arises through grappling with imperfection.

Q26        A             History often portrays doubtful leaders as certain.

Q27        D             Information overload can obscure true meaning.

Q28        B             Author warns against overconfidence in controlling nature.

Q29        A             Play questions moral accountability within systems.

Q30        B             Astronauts shift from national to planetary perspective.

Q31        B             Economic models fail because human emotion skews prediction.

Q32        B             Shows early humans possessed sophisticated language.

Q33        C             Public taste conflicted with environmental innovation.

Q34        A             Empires decline internally before outside conquest.

Q35        B             Her restraint revealed artistic depth, not despair.

Q36        B             Debate signals respect for scientific inquiry.

Q37        C             Trade reflected symbolic, social connection.

Q38        C             Ease of translation endangers linguistic diversity.

Q39        A             Nostalgia beautifies the past by selective memory.

Q40        B             Life adapts even in extreme, unexpected conditions.

Q41        C – Science now embraces uncertainty as fundamental, not accidental.

Q42        B – Technology changes what humans do rather than removing them entirely.

Q43        C – Solitude enables self-reflection and deeper awareness.

Q44        B – The passage stresses that trust underpins economic strength.

Q45        C – Language both reflects and shapes the way people think.

Q46        C – Events echo the past, but with new circumstances and choices.

Q47        B – Ecological health relies on periodic disturbance and renewal.

Q48        B – Emotion enhances decision-making and supports reason.

Q49        C – Observing the stars reminds us of our small place in vast time.

Q50        B – AI lacks conscience and ethical reasoning.

51           A – Technology weakens our ability to focus and sustain attention..

52           B – The artist’s creativity, not the medium, determines artistic value.

53           D – Hope is essential for motivating action, not naïve optimism.

54           C – The fall of journalism results from eroded credibility, not missing facts.


Summary Section 1: Reading & Writing

  • Total Questions: 54
  • If you got 42+ correct (≈78%), that’s around 650–680 score level.
  • If you got 47+ correct (≈87%), that’s around 700–740.
  • If you got 50+ correct (≈92%), you’re pushing 750–780.

📘 SAT Math Answer Key + Explanations (Q1–54)

Q1. C — 6

Work: \(3x-7=11 \Rightarrow 3x=11+7=18 \) \(\Rightarrow x=18/3=6.\)

Q2. D — 180 texts

Work: \(25 + 0.10t = 43 \Rightarrow 0.10t = 43-25 = 18 \)

\( \Rightarrow t = 18/0.10 = 180.\)
Q3. C — 4

\(2x + y = 12,\; y=4 \Rightarrow 2x = 12-4 = 8 \) \(\Rightarrow x=8/2=4.\)

Q4. A — 2

Slope = \((10-2)/(4-0) = 8/4 = 2.\)

Q5. B — 4

Work: \(5y + 2 = 22 \Rightarrow 5y = 20 \Rightarrow y = 20/5 = 4.\)

Q6. B — (6, 4)

Work: Add the two equations: \((x+y) + (x-y) = 10+2 \Rightarrow 2x=12 \) \(\Rightarrow x=6. \)

Then \(y = 10 – x = 4\)

Q7. A — ±3

Work: \(x^2 – 9 = 0 \Rightarrow x^2 = 9 \Rightarrow x = \pm 3.\)

Q8. B — \(6x^5\)

Work: Multiply coefficients and add exponents: \((2x^3)(3x^2)=2\cdot3 \cdot x^{3+2}=6x^5.\)

Q9. A — ±4

Work: Zero-product property: \(x-4=0 \Rightarrow x=4;\; x+4=0\) \( \Rightarrow x=-4\)

Q10. A — Parabola opening upward, vertex\( (2,0)\)

Reason: \(y=(x-2)^2\) is a standard upward parabola with vertex at

\(x=2,y=0\).

Q11. C \(— 4\)

Work: \(3^x = 81\). Since \(81 = 3^4\), \(x=4\).

Q12. A — \( –5 \)and \(3\)

Work: Factor:\(x^2+2x-15=(x+5)(x-3)\) \(\Rightarrow x=-5,\;3.\)

Q13. A — 120 miles

Work: \(50 + 0.20m = 74 \Rightarrow 0.20m = 24 \) \(\Rightarrow m = 24/0.20 = 120.\)

Q14. B — 30 students

Work: Undecided% = \(100 – (60+25) = 15\%\). \(15\% \) of \( 200 = 0.15 \times 200 = 30\).

Q15. A — 1/2

Work: Total balls = \(3+2+5=10\). Green = \(5 → probability =5/10=1/2.\)

Q16. C — 6 cups

Work: Sugar per serving =\( 2/5=0.4\) cups. For 15 servings: \(0.4 \times 15 = 6.\)

Q17. C — 25 girls

Work: Ratio parts = \(3+5=8\). Girls \(= 5/8\) of 40\( = (5/8)\times40 = 5\times5 = 25.\)

Q18. A — $108

Work: Increase 20%: \(100\times1.20 = 120\). Then decrease 10%: \(120\times0.90 = 108\).

Q19. A — 10

Work: Mean = sum/count =\( (4+8+12+16)/4=40/4=10.\)

Q20. A — 9

Work: Sort: \(3,7,9,11,15\). Median = middle value = 9.

Q21. D — 200

Work: \(0.40 \times N = 80 \Rightarrow N = 80/0.40 = 200\).

Q22. C — 40

Work: Area =\( 1/2​×base×height\) = \(0.5\times10\times8 = 40.\)

Q23. C — 44 (approx)

Work: Circumference =\( 2\pi r = 2\times 3.14 \times 7 = 6.28\times7 = 43.96 \approx 44.\)

Q24. A — 5

Work: Classic \( 3\mbox{-}4\mbox{-}5 \) right triangle: hypotenuse =5.

Q25. A — 60

Work: Volume = \(5\times4\times3 = 60 \).

Q26. A — 1

Work: Slope = \((7-3)/(6-2)=4/4=1. \)

Q27. C — \(180^\circ. \)

Triangle interior angles sum = \(180^\circ. \)

Q28. B — 0.5

Recall: \(sin 30^\circ = \frac{1}{2} = 0.5.\)

Q29. A — 81

Work: Side =\( 36/4 = 9\). Area \(=9^2=81.\)

Q30. A — 282.6

Work: Volume =\(\pi r^2 h = 3.14\times 3^2 \times 10 = 3.14\times9\times10 \) \(= 3.14\times90 = 282.6.\)

Q31. C — 8

Work: \(2x-5=11 \Rightarrow 2x=16 \Rightarrow x=8.\)

Q32. B — $6.00

Work: Unit price \(=2.50/5=0.50\). For 12 pencils: \(12\times0.50 = 6.00.\)

Q33. A —\( y=2x+1\)

Reason: Parallel lines share slope 2; only choice with slope 2 is \(y=2x+1.\)

Q34. C — \( x^2 – 4 \)

Work: \((x+2)(x-2) = x^2 – 4.\)

Q35. C — 25

Work: \(a^2 + b^2 = 3^2 + 4^2 = 9 + 16 = 25.\)

Q36. B — –3

From \(y=−3x+5\), slope = coefficient of \(x = −3.\)

Q37. B — 5

Work: \(4x = 20 \Rightarrow x = 20/4 = 5.\)

Q38. B — 40 mph

Work: Speed = distance/time = \(60 \div 1.5\). Compute: \(1.5\times40 = 60\), so speed \(= 40 mph.\)

Q39. A — x < 2

Work: \(2x+3 < 7 \Rightarrow 2x < 4 \Rightarrow x < 2.\)

Q40. C — 5

Work: Distance =\(=\sqrt{(4-1)^2 + (6-2)^2} = \sqrt{3^2 + 4^2} = \sqrt{9+16} \) \(= \sqrt{25}=5.\)

Q41. A — (x + 2)(x + 5)

Check: \((x+2)(x+5) = x^2 +7x +10.\)

Q42. C — 9

Work: \(f(4)=2(4)+1=8+1=9.\)

Q43. D — x > 8

Work: \(x-3>5 \Rightarrow x>5+3 = 8.\)

Q44. B — 1/2

Work: Even faces on a die are {2,4,6} → 3 outcomes out of \( 6 → 3/6=1/2\)

Important — read this before using the table

  • The digital SAT is still scored 400–1600 (two section scores 200–800 each).
  • Raw score = number of questions you answered correctly in a section (no question penalty). Count only operational/scored items. (The College Board sometimes includes unscored “pretest” items; official practice PDFs show how to count scored items.)
  • Official raw→scaled conversion varies by test form (College Board uses form-specific conversion tables). The only perfectly accurate conversion is the table released with the exact form — this means your actual scaled score can differ from these estimates. The College Board posts conversion tables in its scoring guides / practice-test PDFs.

What I’m giving you here is a simple, transparent linear estimate you can use to get a quick, consistent score approximation. It assumes a linear mapping from raw→section-score:

  • Section score ≈ 200 + (raw / max_raw) × 600
    • Reading & Writing max_raw = 54 (section score range 200–800)
    • Math max_raw = 44 (section score range 200–800)

Use the table below to convert raw → estimated section score, then add the two section scores to get the estimated total (400–1600).

1) Reading & Writing (54 questions) — approximate conversion (raw → estimated section score)

Raw correctEst. section score
0200
1211
2222
3233
4244
5256
6267
7278
8289
9300
10311
11322
12333
13344
14356
15367
16378
17389
18400
19411
20422
21433
22444
23456
24467
25478
26489
27500
28511
29522
30533
31544
32556
33567
34578
35589
36600
37611
38622
39633
40644
41656
42667
43678
44689
45700
46711
47722
48733
49744
50756
51767
52778
53789
54800

(Values rounded to nearest whole number; calculated with 200 + 600(raw/54).)*


2) Math (44 questions) — approximate conversion (raw → estimated section score)

Raw correctEst. section score
0200
1214
2227
3241
4255
5268
6282
7295
8309
9323
10336
11350
12364
13377
14391
15405
16418
17432
18446
19459
20473
21486
22500
23514
24527
25541
26555
27568
28582
29595
30609
31623
32636
33650
34664
35677
36691
37705
38718
39732
40746
41759
42773
43786
44800

(Values rounded; calculated with 200 + 600(raw/44).)*Z