SAT Exam Past Paper MCQ Questions and Answers with Explanations

The SAT Past Paper is a valuable resource for students preparing for the SAT exam. This article provides a detailed breakdown of the multiple-choice questions (MCQs) from the Reading and Writing and Math sections of the SAT Past Paper, along with their correct answers and explanations. Optimized for the keyword Previous Year Exam Paper, this guide is perfect for students seeking to understand question patterns and improve their performance.

Reading and Writing: Module 1 (33 Questions)

Question 1: Ochoa’s Prediction

Question: Which word best completes the sentence about Ellen Ochoa’s prediction that humans will need to live in environments other than Earth?
Options: A) Demands, B) Speculates, C) Doubts, D) Establishes
Answer: B) Speculates
Explanation: The text describes Ochoa’s prediction as a conjecture without firm evidence, indicating she “speculates” (puts forward an idea). Choices A, C, and D are incorrect as they imply insistence, disbelief, or proof, which don’t align with the text’s context.

Question 2: Annie Dodge Wauneka’s Work

Question: Which word best describes Annie Dodge Wauneka’s continuous effort to promote public health as a Navajo Nation legislator?
Options: A) Impartial, B) Offhand, C) Persistent, D) Mandatory
Answer: C) Persistent
Explanation: Wauneka’s extensive travels and medical dictionary authorship show continuous effort, making “persistent” the best fit. Choices A, B, and D (impartial, casual, or required) don’t match the described dedication.

Question 3: Crow Tribe and Montana State University Collaboration

Question: Which word best describes how the Crow Tribe-Montana State University collaboration relates to community-based participatory research?
Options: A) Circumvents, B) Eclipses, C) Fabricates, D) Exemplifies
Answer: D) Exemplifies
Explanation: The collaboration serves as an example of community-based participatory research, making “exemplifies” correct. Choices A, B, and C (avoids, overshadows, or creates) don’t fit the context of illustrating a model.

Question 4: Dodder Plant and Host Plant Relationship

Question: What term best describes the dodder plant and its host plant flowering in unison due to the dodder using a host’s protein?
Options: A) Synchronization, B) Hibernation, C) Prediction, D) Moderation
Answer: A) Synchronization
Explanation: The plants flowering together is described as “synchronization” (happening at the same time). Choices B, C, and D (dormancy, forecasting, or reducing intensity) don’t align with the text’s focus on simultaneous flowering.

Question 5: Planets in Binary Star Systems

Question: Which phrase best completes the statement about the lack of a simple explanation for planets in binary star systems?
Options: A) Discernible, B) Straightforward, C) Inconclusive, D) Unbiased
Answer: B) Straightforward
Explanation: The text notes the complexity of explaining planets in binary systems, suggesting no “straightforward” (simple) explanation exists. Choices A, C, and D (perceivable, unresolved, or impartial) don’t fit the context of complexity.

Question 6: Sterlin Harjo’s Approach to Native Characters

Question: Which word best describes Sterlin Harjo’s rejection of the typical depiction of Native characters on television?
Options: A) Repudiates, B) Proclaims, C) Foretells, D) Recants
Answer: A) Repudiates
Explanation: Harjo’s focus on modern Native teenagers rejects (repudiates) the tendency to depict them in the past. Choices B, C, and D (declares, predicts, or withdraws) don’t reflect this rejection.

Question 7: Purpose of Text about Luis von Ahn

Question: What is the main purpose of the text about Luis von Ahn?
Options: A) Discuss his digitization work leading to reCAPTCHA, B) Explain digital scanner functionality, C) Describe his book-digitizing project, D) Assess reCAPTCHA’s popularity
Answer: A) Discuss his digitization work leading to reCAPTCHA
Explanation: The text focuses on how von Ahn’s digitization work led to reCAPTCHA’s invention. Choices B, C, and D are incorrect as they address unrelated or minor details.

Question 8: Function of Underlined Sentence about Lily

Question: How does the underlined sentence about Lily’s perception of the landscape function in the text?
Options: A) Adds specific details, B) Suggests internal conflict, C) Expands on an assertion, D) Illustrates a previous idea
Answer: D) Illustrates a previous idea
Explanation: The underlined sentence shows Lily’s awareness of the landscape reflecting her mood, illustrating the prior sentence’s claim. Choices A, B, and C don’t match the sentence’s role.

Question 9: Function of Underlined Sentence about Veeraraghavan’s Study

Question: How does the underlined sentence about Veeraraghavan’s team’s methodology function in the text?
Options: A) Summarizes findings, B) Provides examples, C) Explains methodology, D) Describes challenges
Answer: C) Explains methodology
Explanation: The underlined sentence details how the team analyzed data, explaining their methodology. Choices A, B, and D are incorrect as they don’t describe the sentence’s function.

Question 10: Mother’s Activities

Question: Which statement is true about Mother based on the text?
Options: A) Hopes for visitors, B) Prefers birthdays, C) Writes stories and poetry, D) Prefers reading to children
Answer: C) Writes stories and poetry
Explanation: The text confirms Mother writes stories and poetry for her children. Choices A, B, and D are unsupported by the text.

Question 11: Purpose of Text about Paul Laurence Dunbar

Question: What is the main purpose of the text about Paul Laurence Dunbar?
Options: A) Praise his perceptiveness, B) Discuss his reading, C) Describe his writing process, D) Recall an afternoon
Answer: A) Praise his perceptiveness
Explanation: The text praises Dunbar’s understanding of people and nature. Choices B, C, and D don’t reflect the text’s focus.

Question 12: Whitman’s Poem and Reader Understanding

Question: Which quotation best supports the claim that Whitman’s poem suggests readers haven’t fully understood themselves?
Options: A) “Immense…interminable”, B) “You have not known what you are”, C) “Regret over not celebrating sooner”, D) “Hymns about readers”
Answer: B) “You have not known what you are”
Explanation: This quotation directly states readers’ lack of self-understanding. Choices A, C, and D don’t address this claim.

Question 13: Chambl’s Photographs

Question: Which finding supports the claim that Chambl’s photographs have ethnographic value?
Options: A) Photographed diverse communities, B) Technical skill, C) Publication locations, D) Popularity among photographers
Answer: A) Photographed diverse communities
Explanation: Photographing diverse Peruvian communities supports the ethnographic value claim. Choices B, C, and D are irrelevant to the claim.

Question 14: Film Outputs as Bare Minimums

Question: Which finding supports the idea that film outputs of individuals are bare minimums?
Options: A) Dark Cloud’s fewer roles, B) Carewe’s roles after 1934, C) St. Cyr and Carewe’s credits, D) Young Deer’s fewer films
Answer: C) St. Cyr and Carewe’s credits
Explanation: St. Cyr’s 66 and Carewe’s 58 credits suggest higher outputs due to lost records. Choices A, B, and D don’t support the minimum output idea.

Question 15: Plants’ Advantage in Patches

Question: Which finding supports the claim that plants gain an advantage growing near others?
Options: A) Less than 75% in patches, B) Greatest number in patches, C) Lower percentage in patches, D) Over 50% in patches
Answer: D) Over 50% in patches
Explanation: Over 50% of juvenile plants in patches (vs. 15% expected) supports the advantage claim. Choices A, B, and C are incorrect or weaken the claim.

Question 16: Plants’ Dependence on Dissolving Rock

Question: Which finding supports the hypothesis that plants depend on dissolving rock?
Options: A) Soil-inhabiting plants, B) Acid proportion differences, C) Dissolving rock despite spaces, D) Thriving on phosphate-free rocks
Answer: C) Dissolving rock despite spaces
Explanation: Dissolving rock despite existing spaces suggests a benefit (e.g., phosphorous access), supporting the hypothesis. Choices A, B, and D don’t support it.

Question 17: Sauropod Body Size and Carbon Dioxide

Question: What conclusion follows from the text about sauropod body size and atmospheric carbon dioxide?
Options: A) Different effects on lineages, B) No dependence on carbon dioxide, C) Higher when largest lived, D) Affected by higher levels
Answer: B) No dependence on carbon dioxide
Explanation: No carbon dioxide increase during size evolution suggests no dependence. Choices A, C, and D are unsupported.

Question 18: Anita Allen’s Argument

Question: Which statement completes the discussion of Anita Allen’s argument about judges citing philosophers?
Options: A) Avoid philosophical works, B) Strengthen opinions with contrary views, C) Make opinions easier to understand, D) Align with popular views
Answer: B) Strengthen opinions with contrary views
Explanation: Allen suggests citing opposing philosophers strengthens opinions. Choices A, C, and D don’t align with her argument.

Question 19: Pronoun-Antecedent Agreement

Question: Which pronoun agrees with “customers”?
Options: A) It, B) They, C) You, D) One
Answer: B) They
Explanation: The plural pronoun “they” agrees with the plural “customers.” Choices A, C, and D are singular or inappropriate.

Question 20: Punctuation with Participial Phrase

Question: Which punctuation is correct between the main clause and participial phrase about Epicurus?
Options: A) Comma, B) Colon, C) Semicolon, D) No punctuation
Answer: A) Comma
Explanation: A comma correctly separates the main clause from the participial phrase. Choices B, C, and D create incorrect structures.

Question 21: Possessive Determiner

Question: Which possessive determiner agrees with “Watson and Crick”?
Options: A) They’re, B) It’s, C) Their, D) Its
Answer: C) Their
Explanation: The plural “their” agrees with the plural “Watson and Crick.” Choices A, B, and D are contractions or singular.

Question 22: Punctuation with Titles and Quotations

Question: Which punctuation is correct for “Stina Chyn” and the integrated quotation?
Options: A) Commas around name, B) Commas around name and quotation, C) No punctuation, D) Comma before quotation
Answer: C) No punctuation
Explanation: No punctuation is needed for the essential name or integrated quotation. Choices A, B, and D add unnecessary punctuation.

Question 23: Verb Form in Main Clause

Question: Which verb form is correct for the main clause about historians?
Options: A) Claiming, B) Claim, C) Having claimed, D) To claim
Answer: B) Claim
Explanation: The finite verb “claim” suits the main clause. Choices A, C, and D are nonfinite and incorrect.

Question 24: Colon Use

Question: Which punctuation correctly introduces the explanation about roundworms?
Options: A) Comma, B) Comma with “while,” C) No punctuation, D) Colon
Answer: D) Colon
Explanation: A colon introduces the explanation of roundworm movement. Choices A, B, and C create incorrect sentence structures.

Question 25: Pronoun-Antecedent Agreement

Question: Which pronoun agrees with “turtle barnacles”?
Options: A) It, B) Themselves, C) Them, D) Itself
Answer: B) Themselves
Explanation: The plural reflexive “themselves” agrees with “turtle barnacles.” Choices A, C, and D are singular or unclear.

Question 26: Subject-Verb Agreement

Question: Which verb agrees with “landing”?
Options: A) Allows, B) Are allowing, C) Have allowed, D) Allow
Answer: A) Allows
Explanation: The singular verb “allows” agrees with “landing.” Choices B, C, and D are plural.

Question 27: Punctuation with Supplements

Question: Which punctuation is correct for the clause about Hopper’s career?
Options: A) Comma and colon, B) Comma, C) Period, D) No punctuation
Answer: A) Comma and colon
Explanation: A comma and colon correctly separate the clauses and introduce the explanation. Choices B, C, and D create incorrect structures.

Question 28: Subject-Modifier Placement

Question: Which placement is correct for the modifier about Henry’s recovery?
Options: A) Before “Henry,” B) Before “the reign,” C) Before “Henry’s reign,” D) Before “it”
Answer: A) Before “Henry”
Explanation: The modifier correctly modifies “Henry.” Choices B, C, and D create dangling modifiers.

Question 29: Logical Transition

Question: Which transition signals that The Emperor’s Babe exemplifies hybrid works?
Options: A) By contrast, B) Consequently, C) Secondly, D) For example
Answer: D) For example
Explanation: “For example” shows the novel as an example of hybrid works. Choices A, B, and C are illogical.

Question 30: Logical Transition

Question: Which transition signals the contrast between dogs and wolves?
Options: A) In other words, B) For instance, C) By contrast, D) Accordingly
Answer: C) By contrast
Explanation: “By contrast” highlights the difference between dogs and wolves. Choices A, B, and D are illogical.

Question 31: Logical Transition

Question: Which transition signals the rise in mathematicians’ collaboration?
Options: A) Similarly, B) For this reason, C) Furthermore, D) Increasingly
Answer: D) Increasingly
Explanation: “Increasingly” indicates a shift to collaboration. Choices A, B, and C don’t reflect the change.

Question 32: Study and Findings

Question: Which sentence presents the study and its findings about jawbones?
Options: A) Initial assessment, B) Study focus, C) Complete study and findings, D) Methodology and pterosaurs
Answer: C) Complete study and findings
Explanation: The sentence includes the study’s date, researcher, and findings. Choices A, B, and D are incomplete.

Question 33: Comparison of Contributions

Question: Which sentence compares Hedgeman and Bates’s contributions to the march?
Options: A) Both contributed, B) Civil rights focus, C) Hedgeman’s planning vs. Bates’s speech, D) Both fought for rights
Answer: C) Hedgeman’s planning vs. Bates’s speech
Explanation: The sentence compares their specific roles. Choices A, B, and D don’t compare contributions.

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Reading and Writing: Module 2 (33 Questions)

Question 1: Jacob Lawrence’s Artistic Process

Question: Which word best describes Jacob Lawrence’s attention to his neighborhood in his artwork?
Options: A) Skeptical, B) Observant, C) Critical, D) Confident
Answer: B) Observant
Explanation: Lawrence’s close attention to details reflects being “observant.” Choices A, C, and D (doubtful, fault-finding, or self-assured) don’t fit.

Question 2: Stingray Venom Research

Question: Which phrase describes the effect of stingray age and sex on venom toxicity?
Options: A) Disconcerting, B) Acceptable, C) Imperceptible, D) Substantial
Answer: D) Substantial
Explanation: The research seeks “considerable variations,” indicating a “substantial” effect. Choices A, B, and C (unsettling, satisfactory, or unnoticeable) are incorrect.

Question 3: Diaphragm Contractions and Hiccups

Question: Which word describes the uncontrollable nature of diaphragm contractions causing hiccups?
Options: A) Involuntarily, B) Beneficially, C) Strenuously, D) Smoothly
Answer: A) Involuntarily
Explanation: The text describes contractions as “uncontrollable,” meaning “involuntarily.” Choices B, C, and D don’t match.

Question 4: Fine Art and Fashion

Question: Which word describes the critics’ view of the rare overlap between fine art and fashion?
Options: A) Prevail, B) Succumb, C) Diverge, D) Intersect
Answer: D) Intersect
Explanation: Critics believe fine art and fashion rarely “intersect” (overlap). Choices A, B, and C (triumph, surrender, or disagree) don’t fit.

Question 25: Verb Form with Modal

Question: Which verb form correctly follows “would” in describing the lock’s action?
Options: A) Creates, B) Create, C) Creating, D) Created
Answer: B) Create
Explanation: The nonfinite “create” follows the modal “would.” Choices A, C, and D are incorrect verb forms.

Question 26: Subject-Modifier Placement

Question: Which placement is correct for the modifier about commercial plastics?
Options: A) Before “there,” B) Before “two problems,” C) Before “problems,” D) Before “commercial plastics”
Answer: D) Before “commercial plastics”
Explanation: The modifier correctly describes “commercial plastics.” Choices A, B, and C create dangling modifiers.

Question 27: Punctuation with Titles

Question: Which punctuation is correct for “Yuree Lee” and “plant cell biologist”?
Options: A) Comma before, B) Commas around, C) No punctuation, D) Commas after
Answer: C) No punctuation
Explanation: No punctuation is needed for the essential name. Choices A, B, and D are incorrect.

Question 28: Logical Transition

Question: Which transition signals that spiders’ climbing ability results from spatulae bonding?
Options: A) For instance, B) However, C) Similarly, D) As a result
Answer: D) As a result
Explanation: “As a result” shows the climbing ability stems from bonding. Choices A, B, and C are illogical.

Question 29: Logical Transition

Question: Which transition signals Sher-Gil’s longing to leave Paris contrasts with expectations?
Options: A) Stir, B) Therefore, C) Indeed, D) Furthermore
Answer: A) Stir
Explanation: “Stir” indicates contrast with prior expectations. Choices B, C, and D are illogical.

Question 30: Logical Transition

Question: Which transition signals similarity between tea-selling activities for suffrage?
Options: A) For example, B) To conclude, C) Similarly, D) In other words
Answer: C) Similarly
Explanation: “Similarly” shows the activities are alike. Choices A, B, and D are incorrect.

Question 31: Comparison of Tunnel Lengths

Question: Which sentence compares the lengths of the Channel and Seikan Tunnels?
Options: A) Generalization, B) Channel vs. Seikan, C) Single tunnel, D) Mentions both
Answer: B) Channel vs. Seikan
Explanation: The sentence compares the tunnels’ lengths. Choices A, C, and D don’t compare.

Question 32: Explanation of “Flauna”

Question: Which sentence explains and exemplifies “flauna”?
Options: A) Partial explanation, B) Full explanation with example, C) Explanation with title, D) Explanation with two titles
Answer: B) Full explanation with example
Explanation: The sentence defines “flauna” and gives an example (parrot with leaves). Choices A, C, and D are incomplete.

Question 33: Taylor’s Memoir

Question: Which sentence emphasizes the uniqueness of Taylor’s Civil War memoir?
Options: A) Describes accomplishments, B) Lists accomplishments, C) Mentions book, D) Highlights uniqueness
Answer: D) Highlights uniqueness
Explanation: The sentence notes the memoir’s unique status. Choices A, B, and C don’t emphasize uniqueness.

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Math: Module 1 (27 Questions)

Question 1: Percentage Calculation

Question: What is 10% of 470?
Options: A) 37, B) 47, C) 423, D) 460
Answer: B) 47
Explanation: 10% of 470 is (10/100) × 470 = 47. Choices A, C, and D miscalculate.

Question 2: Equivalent Equation

Question: Which equation is equivalent to 4x + 6 = 18?
Options: A) Incorrect, B) Incorrect, C) 4x = 12, D) Incorrect
Answer: C) 4x = 12
Explanation: Subtracting 6 from both sides of 4x + 6 = 18 gives 4x = 12. Choices A, B, and D are incorrect.

Question 3: Inequality for Surfboard Rental

Question: Which inequality represents a surfboard rental costing $25 plus $10 per hour, with a maximum of $75?
Options: A) Rental fee ≤ 75, B) Incorrect, C) Incorrect, D) 25 + 10t ≤ 75
Answer: D) 25 + 10t ≤ 75
Explanation: Total cost (25 + 10t) must be ≤ 75. Choice A ignores the service fee, and B, C are incorrect.

Question 4: Solving for x in Quadratic

Question: If g(x) = x² + 9 and g(x) = 25, what is x?
Options: A) 4, B) Incorrect, C) Incorrect, D) Incorrect
Answer: A) 4
Explanation: Solving 25 = x² + 9 gives x² = 16, so x = ±4. Only 4 is listed.

Question 5: Probability of Rolling a 2

Question: What is the probability of rolling a 2 on a 14-sided die?
Options: A) 1/14, B) 2/14, C) 12/14, D) 13/14
Answer: A) 1/14
Explanation: Probability is 1 (favorable outcome) ÷ 14 (total outcomes). Choices B, C, and D miscalculate.

Question 8: Points for Assignment

Question: Which equation represents an assignment with x 1-point and y 3-point questions worth 70 points?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) x + 3y = 70
Answer: D) x + 3y = 70
Explanation: Total points are x + 3y = 70. Choices A, B, and C are incorrect.

Question 9: Angle in Similar Triangles

Question: If angle M is 53° in triangle LMN, similar to PQR, what is angle Q?
Options: A) 37°, B) 53°, C) 127°, D) Incorrect
Answer: B) 53°
Explanation: Corresponding angles in similar triangles are congruent, so angle Q = 53°. Choices A, C, and D are incorrect.

Question 10: Solving System of Equations

Question: What is x in the system y = -3x, 4x + y = 15?
Options: A) Incorrect, B) Incorrect, C) 15, D) Incorrect
Answer: C) 15
Explanation: Substituting y = -3x into 4x + y = 15 gives x = 15. Choices A, B, and D are incorrect.

Question 11: Linear Model Slope and Intercept

Question: Which linear model fits a scatterplot with decreasing y-values and positive y-intercept?
Options: A) Negative intercept, B) y = -1.9x + 10.1, C) Positive slope, D) Positive slope
Answer: B) y = -1.9x + 10.1
Explanation: Negative slope (-1.9) and positive intercept (10.1) fit the scatterplot. Choices A, C, and D don’t match.

Question 12: Zeros of Function

Question: How many values of x satisfy f(x) = 0 if the graph touches the x-axis at 3 points?
Options: A) 1, B) 2, C) 3, D) 4
Answer: C) 3
Explanation: Three x-axis touches mean three zeros. Choices A, B, and D are incorrect.

Question 15: Exponential Growth of Cells

Question: If 300,000 cells double every 3 hours, how many are there after 15 hours?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) 9,600,000
Answer: D) 9,600,000
Explanation: Using y = 300,000(2)^(x/3), for x = 15, y = 9,600,000. Choices A, B, and C are incorrect.

Question 16: Factoring Expression

Question: Which expression is equivalent to 6x⁸y² + 12x²y²?
Options: A) 12x²y², B) 6x⁶y², C) 6x²y²(x⁶ + 2), D) 6x⁶y² + 12x²y²
Answer: C) 6x²y²(x⁶ + 2)
Explanation: Factoring gives 6x²y²(x⁶ + 2). Choices A, B, and D are incorrect.

Question 17: Trees per Hectare

Question: In 2x + 35y = 3,934, what does x represent?
Options: A) Trees per hectare in park, B) Incorrect, C) Incorrect, D) Incorrect
Answer: A) Trees per hectare in park
Explanation: 2x represents park trees, so x is trees per hectare. Choices B, C, and D are incorrect.

Question 18: Linear Relationship

Question: Which equation represents the line through (0,40) and (60,0)?
Options: A) Incorrect, B) 8x + 12y = 480, C) Incorrect, D) Incorrect
Answer: B) 8x + 12y = 480
Explanation: The equation satisfies both points. Choices A, C, and D don’t.

Question 19: Circle Area Ratio

Question: If circle A’s radius is 3n and circle B’s is 129n, how many times larger is B’s area?
Options: A) 43, B) Incorrect, C) 129, D) 1849
Answer: D) 1849
Explanation: Area ratio is (129n)²/(3n)² = 1849. Choices A, B, and C are incorrect.

Question 22: Angle in Radians

Question: If angle R is 2π/3 radians and angle T is 5π/12 radians greater, what is T in degrees?
Options: A) 75°, B) 120°, C) 195°, D) Incorrect
Answer: C) 195°
Explanation: T = 2π/3 + 5π/12 = 13π/12 radians = 195°. Choices A, B, and D are incorrect.

Question 23: Area Conversion

Question: If a town is 4.36 square miles, how many square yards is it?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) 13,505,536
Answer: D) 13,505,536
Explanation: 4.36 × (1,760)² = 13,505,536 square yards. Choices A, B, and C are incorrect.

Question 24: X-Intercept of Translated Line

Question: What is the x-intercept of line k, translated down 5 units from line h through (18,130), (23,160), (26,178)?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) (-17/6, 0)
Answer: D) (-17/6, 0)
Explanation: Line h’s equation is y = 6x + 22; line k is y = 6x + 17. X-intercept is -17/6. Choices A, B, and C are incorrect.

Question 25: Quadratic Vertex

Question: What is c if y = c intersects y = -x² + 9x – 100 at one point?
Options: A) Incorrect, B) Incorrect, C) -319/4, D) Incorrect
Answer: C) -319/4
Explanation: The parabola’s vertex y-coordinate is -319/4, ensuring one intersection. Choices A, B, and D are incorrect.

Question 26: Point on System of Equations

Question: Which point lies on both 2x + 3y = 7 and 10x + 15y = 35?
Options: A) Incorrect, B) (-3r/2 + 7/2, r), C) Incorrect, D) Incorrect
Answer: B) (-3r/2 + 7/2, r)
Explanation: The point satisfies the first equation, and the equations are equivalent. Choices A, C, and D are incorrect.

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Math: Module 2 (27 Questions)

Question 1: Earnings Proportion

Question: If Tilly earns p dollars for w hours, how much for 39w hours?
Options: A) p/w, B) p + 39, C) p – 39, D) 39p
Answer: D) 39p
Explanation: Proportion p/w = x/(39w) gives x = 39p. Choices A, B, and C are incorrect.

Question 2: Function for Bike Ride Time

Question: Which function models Juan’s bike ride time at 5.7 minutes per mile?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) m(x) = 5.7x
Answer: D) m(x) = 5.7x
Explanation: Time is 5.7x minutes for x miles. Choices A, B, and C are incorrect.

Question 3: Solving System of Equations

Question: What is y in the system 3x + y = 12, -3x + y = -6?
Options: A) Incorrect, B) 6, C) Incorrect, D) Incorrect
Answer: B) 6
Explanation: Adding equations gives y = 6. Choices A, C, and D are incorrect.

Question 4: Car Speed

Question: If s = 40 + 3t, what is the car’s speed after 5 seconds?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) 55
Answer: D) 55
Explanation: Substituting t = 5 gives s = 55 mph. Choices A, B, and C are incorrect.

Question 5: Pythagorean Theorem

Question: In a right triangle with legs 4 and 5, what is the hypotenuse?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) √(4² + 5²)
Answer: D) √(4² + 5²)
Explanation: Pythagorean theorem gives c = √(16 + 25). Choices A, B, and C are incorrect.

Question 8: Y-Intercept of Function

Question: What is the y-intercept of y = (1/10)x – 2?
Options: A) Incorrect, B) (0, -2), C) Incorrect, D) Incorrect
Answer: B) (0, -2)
Explanation: Substituting x = 0 gives y = -2. Choices A, C, and D are incorrect.

Question 9: Function Transformation

Question: If g(x) is f(x) = 7x³ shifted down 2 units, what is g(x)?
Options: A) Incorrect, B) Incorrect, C) Incorrect, D) 7x³ – 2
Answer: D) 7x³ – 2
Explanation: Shifting down subtracts 2 from f(x). Choices A, B, and C are incorrect.

Question 10: System of Equations

Question: What is the solution to x + 7 = 10, x² = y?
Options: A) (3, 100), B) Incorrect, C) Incorrect, D) Incorrect
Answer: A) (3, 100)
Explanation: Solving gives x = 3, y = 100. Choices B, C, and D are incorrect.

Question 11: Simplifying Expression

Question: What is 7x³ + 7x – 6x³ + 3x simplified?
Options: A) x³ + 10x, B) Incorrect, C) Incorrect, D) Incorrect
Answer: A) x³ + 10x
Explanation: Combining like terms gives x³ + 10x. Choices B, C, and D are incorrect.

Question 12: Solving for n

Question: If p(n) = 7n³ = 56, what is n?
Options: A) 2, B) Incorrect, C) Incorrect, D) Incorrect
Answer: A) 2
Explanation: Solving 7n³ = 56 gives n = 2. Choices B, C, and D are incorrect.

Question 15: Exponential Function Interpretation

Question: In E(t) = 5(1.8)^t, what does 5 represent?
Options: A) Initial employees, B) Incorrect, C) Incorrect, D) Incorrect
Answer: A) Initial employees
Explanation: 5 is the initial value when t = 0. Choices B, C, and D are incorrect.

Question 16: Minimum Value of Quadratic

Question: What is the minimum value of g(x) = (x – 0)² + 55?
Options: A) 0, B) 55, C) Incorrect, D) Incorrect
Answer: B) 55
Explanation: The vertex form gives a minimum of 55. Choices A, C, and D are incorrect.

Question 17: Type of Function

Question: What type of function models an investment increasing by 0.49% yearly?
Options: A) Incorrect, B) Incorrect, C) Increasing exponential, D) Incorrect
Answer: C) Increasing exponential
Explanation: A fixed percentage increase is exponential. Choices A, B, and D are incorrect.

Question 18: Population Growth

Question: If a population increases by 7% from 2015 to 2016, what is k in kx?
Options: A) 0.07, B) Incorrect, C) Incorrect, D) 1.7
Answer: C) 1.07
Explanation: A 7% increase means k = 1.07. Choices A, B, and D are incorrect.

Question 19: Exponent Simplification

Question: What is a^(132/144) simplified?
Options: A) Incorrect, B) ¹²√(a¹³²), C) Incorrect, D) Incorrect
Answer: B) ¹²√(a¹³²)
Explanation: a^(132/144) = (a^(1/12))¹³² = ¹²√(a¹³²). Choices A, C, and D are incorrect.

Question 23: Circle Diameter

Question: What is the diameter of (x – 5)² + (y – 3)² = 16?
Options: A) 4, B) 8, C) 16, D) Incorrect
Answer: B) 8
Explanation: Radius is √16 = 4, so diameter is 8. Choices A, C, and D are incorrect.

Question 24: Exponential Function Coefficient

Question: If f(1) = 128 in f(x) = k(1.6)^(x-1), what is k?
Options: A) Incorrect, B) Incorrect, C) 128, D) Incorrect
Answer: C) 128
Explanation: f(1) = k(1.6)⁰ = k = 128. Choices A, B, and D are incorrect.

Question 25: Exponential Model for Squirrels

Question: Which model represents a squirrel population increasing 150% yearly, with 180 squirrels at the end of 2016?
Options: A) Incorrect, B) n = 72(2.5)^t, C) Incorrect, D) Incorrect
Answer: B) n = 72(2.5)^t
Explanation: 150% increase means 2.5x; 180 = a(2.5)¹ gives a = 72. Choices A, C, and D are incorrect.

Question 26: Perpendicular Lines

Question: Which pair of equations represents perpendicular lines?
Options: A) Incorrect, B) 5x + 7y = 1, ax + by = 1 (a/b = -7/5), C) Incorrect, D) Incorrect
Answer: B) 5x + 7y = 1, ax + by = 1 (a/b = -7/5)
Explanation: Slopes -5/7 and 7/5 are negative reciprocals. Choices A, C, and D are incorrect.

Conclusion

The SAT Past Paper MCQs cover critical reading, writing, and math skills, making it an essential Previous Year Exam Paper for preparation. By studying these questions and explanations, students can master key concepts and excel in future SAT exams