Digital SAT (DSAT) — Questions and Answers
Question 1: In the sentence 'The results of the experiment, which were surprising, challenged the hypothesis,' what does the clause 'which were surprising' do grammatically?
- It adds nonessential information about the results. (Correct answer)
- It serves as the subject of the sentence.
- It forms the main verb of the sentence.
- It identifies which results are being discussed.
Correct answer: It adds nonessential information about the results.
A 'which' clause set off by commas is a nonrestrictive (nonessential) relative clause that adds extra, non-defining information.
Question 2: A test-taker wants to monitor their score improvement over time. Which Bluebook feature supports this?
- Automatic enrollment in SAT prep courses
- Real-time leaderboard against other test-takers
- Score reports with section scores after each practice test (Correct answer)
- AI tutoring chatbot built into Bluebook
Correct answer: Score reports with section scores after each practice test
After each Bluebook practice test, students receive detailed score reports showing section totals and domain-level performance data.
Question 3: A scatterplot shows hours studied vs. test scores for 20 students. The line of best fit is y = 5.2x + 48. What does the slope 5.2 represent?
- The minimum score a student can earn
- The predicted score increase for each additional hour studied (Correct answer)
- The y-intercept of the regression line
- The average number of hours all students studied
Correct answer: The predicted score increase for each additional hour studied
The slope represents the predicted change in y for each one-unit increase in x.
Question 4: The word 'tenuous' in 'The connection between the two events is tenuous at best' most nearly means:
- Weak and insubstantial (Correct answer)
- Strong and well-documented
- Widely accepted
- Surprising and counterintuitive
Correct answer: Weak and insubstantial
Tenuous means very weak or slight, lacking a firm basis.
Question 5: A writer uses the phrase "in addition" to connect two sentences. What relationship does this transition establish between the two ideas?
- The second idea provides a cause for the first.
- The second idea contradicts the first.
- The second idea concludes the argument from the first.
- The second idea supplements or adds to the first. (Correct answer)
Correct answer: The second idea supplements or adds to the first.
"In addition" is an additive transition that signals supplementary information supporting or expanding on the previous idea.
Question 6: Solve for y: 2y/3 - 4 = 8
- y = 6
- y = 18 (Correct answer)
- y = 12
- y = 9
Correct answer: y = 18
Adding 4 gives 2y/3 = 12, then multiplying both sides by 3/2 gives y = 18.
Question 7: What is the primary advantage of using Bluebook for practice over paper-based Digital SAT prep materials?
- Bluebook graders provide written feedback
- Bluebook questions are harder than test-day questions
- Bluebook replicates the adaptive module delivery and on-screen tools exactly (Correct answer)
- Bluebook allows unlimited retakes of the same test
Correct answer: Bluebook replicates the adaptive module delivery and on-screen tools exactly
Bluebook mirrors the real test's adaptive format, built-in calculator, annotation tools, and timer, making practice conditions authentic.
Question 8: What is a unique feature of the Digital SAT's adaptive format?
- The test adapts based on the time spent on each question.
- All questions are randomized without a set order.
- The difficulty of questions adjusts based on performance in the first module. (Correct answer)
- The test automatically ends when a certain score is achieved.
Correct answer: The difficulty of questions adjusts based on performance in the first module.
A unique and defining feature of the Digital SAT is its adaptive format within each section. After a test-taker completes the first module of either the Reading and Writing or Math section, the difficulty of the questions in the second module for that same section adjusts based on their performance in the first module. This adaptive design allows for a more precise measurement of ability with fewer questions.
Question 9: If f(x) = x² + bx + c and the zeros are x = 1 and x = -5, what is the value of c?
- 4
- 5
- -5 (Correct answer)
- -4
Correct answer: -5
c = product of zeros = (1)(-5) = -5 by Vieta's formulas.
Question 10: Which meaning of 'address' is used in 'The CEO will address the shareholders' concerns at the annual meeting'?
- A physical location
- A title of respect
- To speak to or deal with (Correct answer)
- Formal written correspondence
Correct answer: To speak to or deal with
In this context, 'address' means to speak to a group or to deal with a particular issue.
Question 11: What is the difference between 'their,' 'there,' and 'they're'?
- They all mean the same thing
- 'They're' is past tense of 'they'
- 'There' is possessive, 'their' is location
- 'Their' is possessive, 'there' is location, 'they're' is 'they are' (Correct answer)
Correct answer: 'Their' is possessive, 'there' is location, 'they're' is 'they are'
'Their' shows possession (their book), 'there' indicates location (over there), and 'they're' is a contraction of 'they are.'
Question 12: A student writes: 'The ancient ruins were very old and dated back to antiquity.' Which revision most effectively eliminates the redundancy in this sentence?
- The ruins dated back to antiquity. (Correct answer)
- The ancient ruins, which were old, dated back to antiquity.
- The very old ruins were ancient and dated back to old times.
- The ancient ruins dated back to antiquity and were very old.
Correct answer: The ruins dated back to antiquity.
"Ancient," "very old," and "antiquity" all convey the same meaning, so the most concise revision retains only one of these ideas.
Question 13: A sample of 10 test scores has a mean of 75 and a standard deviation of 8. A student scores 91. Approximately how many standard deviations above the mean is this score?
- 2 (Correct answer)
- 1.5
- 1
- 2.5
Correct answer: 2
(91 − 75) / 8 = 16 / 8 = 2 standard deviations above the mean.
Question 14: What is a good strategy for answering questions in the Reading and Writing section?
- Rereading every sentence multiple times.
- Reading the passage first and understanding the context. (Correct answer)
- Answering questions randomly to save time.
- Skimming the passage without reading carefully.
Correct answer: Reading the passage first and understanding the context.
For the Reading and Writing section, it is crucial to read the entire passage carefully to grasp its main idea, purpose, and overall context before attempting to answer questions. Understanding the passage holistically allows you to answer questions more accurately and efficiently, as many questions rely on comprehending the broader meaning rather than just isolated sentences. This approach prevents misinterpretations and improves comprehension.
Question 15: In a right triangle, the two legs measure 9 and 12. What is the length of the hypotenuse?
- 15 (Correct answer)
- 18
- 13
- 21
Correct answer: 15
Using the Pythagorean theorem: 9² + 12² = 81 + 144 = 225, and √225 = 15.
Question 16: What does 'making an inference' mean?
- Copying text directly
- Summarizing the first paragraph
- Identifying the title
- Drawing a conclusion from evidence not explicitly stated (Correct answer)
Correct answer: Drawing a conclusion from evidence not explicitly stated
Inferring means using clues and prior knowledge to reach a conclusion that isn't directly stated in the text.
Question 17: Which inequality is represented by a dashed line with slope -1 and y-intercept 4, shaded below the line?
- y > -x + 4
- y ≤ -x + 4
- y < -x + 4 (Correct answer)
- y ≥ -x + 4
Correct answer: y < -x + 4
A dashed line means strict inequality, and shading below means y is less than the line, giving y < -x + 4.
Question 18: The sum of three consecutive integers is 48. What is the largest integer?
- 18
- 16
- 17 (Correct answer)
- 15
Correct answer: 17
Let the integers be n, n+1, n+2; then 3n + 3 = 48, so n = 15 and the largest is 17.
Question 19: What is the main purpose of identifying an author's purpose?
- To identify the publication date
- To memorize vocabulary
- To understand why the text was written and how to interpret it (Correct answer)
- To find grammar errors
Correct answer: To understand why the text was written and how to interpret it
Understanding the author's purpose (inform, persuade, entertain) helps readers interpret the text correctly.
Question 20: A dot plot shows 15 data points clustered between 20 and 30, with one point at 85. Which statement is true?
- The mean is higher than the median (Correct answer)
- The mode is 85
- The mean and median are equal
- The mean is lower than the median
Correct answer: The mean is higher than the median
The outlier at 85 pulls the mean upward, making the mean greater than the median.
Question 21: How is the Math section of the Digital SAT structured?
- It requires written explanations for problem-solving.
- It focuses only on algebra.
- It is entirely calculator-free.
- It includes a mix of multiple-choice and grid-in questions, with calculator use allowed throughout. (Correct answer)
Correct answer: It includes a mix of multiple-choice and grid-in questions, with calculator use allowed throughout.
The Math section of the Digital SAT is structured to include a mix of multiple-choice questions and student-produced response questions (grid-ins). A significant change from the previous format is that calculator use is allowed throughout both Math modules. This allows students to focus on problem-solving strategies and conceptual understanding rather than complex manual calculations.
Question 22: A set of 6 data values has a mean of 12. One value of 6 is removed. What is the new mean of the remaining 5 values?
- 13.2 (Correct answer)
- 14
- 11.5
- 12
Correct answer: 13.2
Original sum = 12 × 6 = 72; removing 6 leaves 66; new mean = 66 / 5 = 13.2.
Question 23: The function g(x) = x² - 6x + 8 has zeros at x = 2 and x = 4. What is the vertex of g(x)?
- (2, 0)
- (3, -1) (Correct answer)
- (4, 0)
- (3, 1)
Correct answer: (3, -1)
The vertex x-coordinate is the midpoint of the zeros: (2+4)/2 = 3, and g(3) = 9 - 18 + 8 = -1.
Question 24: What is a thesis statement?
- The bibliography
- The first sentence of any paragraph
- The main argument or claim of an essay (Correct answer)
- A quotation from a source
Correct answer: The main argument or claim of an essay
A thesis statement presents the central argument that the entire essay supports and develops.
Question 25: Which of the following is NOT a feature available in the Desmos graphing calculator embedded in the Digital SAT?
- Storing custom notes and formulas (Correct answer)
- Solving systems of equations visually
- Graphing functions
- Evaluating trigonometric functions
Correct answer: Storing custom notes and formulas
The embedded Desmos calculator does not allow students to store personal notes or formula sheets; it is a graphing and computation tool only.
Question 26: The word 'equivocal' in 'The manager's equivocal response left employees uncertain about their job security' most nearly means:
- Clearly reassuring
- Open to more than one interpretation (Correct answer)
- Statistically significant
- Legally binding
Correct answer: Open to more than one interpretation
Equivocal means open to more than one interpretation, often intentionally ambiguous.
Question 27: Which sentence contains a misplaced modifier?
- He bought a car from a dealer with leather seats. (Correct answer)
- I saw a dog walking down the street in a raincoat.
- Wearing a raincoat, she walked through the storm.
- She found a cat hiding under the porch.
Correct answer: He bought a car from a dealer with leather seats.
In option C, 'with leather seats' is misplaced and seems to modify 'dealer' rather than 'car'; it should read 'a car with leather seats from a dealer.'
Question 28: What is the difference between a main idea and a supporting detail?
- Details are more important
- Main ideas are always in the title
- They are the same thing
- Main idea is the central message; details provide evidence for it (Correct answer)
Correct answer: Main idea is the central message; details provide evidence for it
The main idea is the overarching point the author makes, while supporting details are specific facts, examples, or evidence that back it up.
Question 29: What is required to ensure the test day goes smoothly for a Digital SAT?
- Arriving late to avoid technical issues.
- Bringing a backup paper test.
- Using any device without prior preparation.
- Downloading and testing the secure testing app beforehand. (Correct answer)
Correct answer: Downloading and testing the secure testing app beforehand.
To prevent technical issues on test day, it is crucial for students to download and thoroughly test the secure testing application well in advance. This allows them to confirm their device meets all technical requirements and to become familiar with the app's interface. Early preparation helps identify and resolve any potential problems, ensuring a smooth and stress-free testing experience.
Question 30: What is the value of x in 3x + 7 = 22?
- 4
- 7
- 5 (Correct answer)
- 6
Correct answer: 5
Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.
Question 31: If p(x) = x³ - 2x² - x + 2, which of the following is a factor?
- x - 2 (Correct answer)
- x - 3
- x + 2
- x + 1
Correct answer: x - 2
p(2) = 8 - 8 - 2 + 2 = 0, so (x-2) is a factor by the Factor Theorem.
Question 32: What is the product of the complex numbers (3 + 2i) and (1 - i)?
- 1 + 5i
- 3 - 2i²
- 5 - i (Correct answer)
- 5 - i
Correct answer: 5 - i
(3+2i)(1-i) = 3 - 3i + 2i - 2i² = 3 - i + 2 = 5 - i (since i² = -1).
Question 33: A city's population was 50,000 in 2000 and 80,000 in 2020. What was the percent increase over this period?
- 60% (Correct answer)
- 62.5%
- 37.5%
- 30%
Correct answer: 60%
Percent increase = (80,000 − 50,000)/50,000 × 100 = 30,000/50,000 × 100 = 60%.
Question 34: In 'The pundit offered a trenchant critique of the administration's policies,' 'trenchant' most nearly means:
- Vague and generalized
- Mild and diplomatic
- Vigorous and incisive (Correct answer)
- Repetitive and predictable
Correct answer: Vigorous and incisive
Trenchant means vigorous or incisive in expression or style, cutting straight to the point.
Question 35: Which expression represents the product (2x - 3)(x + 5)?
- 2x² + 10x - 15
- 2x² + 7x + 15
- 2x² - 7x - 15
- 2x² + 7x - 15 (Correct answer)
Correct answer: 2x² + 7x - 15
Using FOIL: 2x·x + 2x·5 + (-3)·x + (-3)·5 = 2x² + 10x - 3x - 15 = 2x² + 7x - 15.
Question 36: The graph of y = a(x - h)² + k passes through (0, 5) with vertex at (2, 1). What is the value of a?
- 1/2
- 4/3
- 1 (Correct answer)
- 2
Correct answer: 1
Substituting (0,5): 5 = a(0-2)² + 1 = 4a + 1, so 4a = 4 and a = 1.
Question 37: Which expression is equivalent to (x² + 2x - 8) / (x + 4)?
- x - 4
- x + 2
- x - 2 (Correct answer)
- x + 4
Correct answer: x - 2
Factor numerator as (x+4)(x-2), then cancel (x+4) to get x-2.
Question 38: Which strategy is most effective for improving performance on Digital SAT 'Words in Context' questions?
- Memorizing the top 1,000 SAT vocabulary words
- Practicing using surrounding sentence context to determine a word's precise meaning (Correct answer)
- Skipping these questions since they are opinion-based
- Defaulting to the most advanced-sounding answer choice
Correct answer: Practicing using surrounding sentence context to determine a word's precise meaning
Words in Context questions test whether students can use textual evidence to identify a word's specific meaning in context, not raw vocabulary memorization.
Question 39: The word 'pragmatic' in 'The pragmatic engineer chose the simplest solution that worked' most nearly means:
- Practical and results-oriented (Correct answer)
- Innovative and creative
- Theoretical
- Overly cautious
Correct answer: Practical and results-oriented
Pragmatic refers to dealing with things sensibly and practically rather than theoretically.
Question 40: What kind of skills are assessed in the Reading and Writing section?
- Creative writing and poetry analysis.
- Advanced vocabulary memorization.
- Comprehension, analysis, and grammar skills. (Correct answer)
- Memorization of historical texts.
Correct answer: Comprehension, analysis, and grammar skills.
The Reading and Writing section of the Digital SAT assesses a range of critical verbal skills essential for academic success. It evaluates a student's ability to comprehend and analyze texts, understand rhetorical strategies, and apply correct grammar, punctuation, and standard English conventions. This section focuses on practical language proficiency rather than rote memorization.
Question 41: If 3x - 7 = 2x + 5, what is the value of x?
- 6
- 2
- -2
- 12 (Correct answer)
Correct answer: 12
Subtracting 2x from both sides gives x - 7 = 5, so x = 12.
Question 42: A survey oversamples wealthy households because they are easier to contact by phone. Which type of error does this introduce?
- Sampling bias (Correct answer)
- Standard deviation error
- Placebo effect
- Confounding error
Correct answer: Sampling bias
Systematically overrepresenting a subgroup creates sampling bias, making results unrepresentative of the full population.
Question 43: What is the purpose of the 'Mark for Review' flag in the Bluebook test interface?
- To signal the proctor you need assistance
- To report a question as flawed to College Board
- To bookmark questions you want to revisit before submitting the module (Correct answer)
- To automatically skip a question and move on
Correct answer: To bookmark questions you want to revisit before submitting the module
The Mark for Review flag lets students bookmark uncertain answers and return to them before the module timer expires.
Question 44: Which of the following is equivalent to (x + 3)² - 4?
- x² + 6x + 13
- x² + 3x + 5
- x² + 6x + 5 (Correct answer)
- x² + 9x + 5
Correct answer: x² + 6x + 5
Expand (x+3)² - 4 = x² + 6x + 9 - 4 = x² + 6x + 5.
Question 45: Which definition of 'novel' applies in 'The researchers proposed a novel approach to treating the disease'?
- New and original (Correct answer)
- Controversial and risky
- A long fictional book
- Previously tested
Correct answer: New and original
As an adjective, 'novel' means new and not resembling something formerly known or used.
Question 46: What is the primary purpose of professional certification in Problem Solving Strategies?
- To replace practical experience
- To validate competency and knowledge in the field (Correct answer)
- To increase salary automatically
- To meet legal requirements only
Correct answer: To validate competency and knowledge in the field
Certification validates that a professional has met established standards of knowledge and competency in Problem Solving Strategies.
Question 47: Of 80 students who play sports, 60 get good grades. Of 120 who don't play sports, 40 get good grades. What fraction of all 200 students get good grades?
- 3/5
- 2/5
- 3/10
- 1/2 (Correct answer)
Correct answer: 1/2
Total with good grades = 60 + 40 = 100 out of 200 students = 100/200 = 1/2.
Question 48: What is the College Board's 'Score Choice' policy, and how does it affect preparation strategy?
- Students must report all SAT scores to colleges
- Students can choose which individual section scores to send from different test dates
- Students can choose which test date scores to send, reducing pressure on any single sitting (Correct answer)
- Score Choice allows students to retake only one section of the SAT
Correct answer: Students can choose which test date scores to send, reducing pressure on any single sitting
Score Choice lets students select which test date's full score report to send, so students can take the SAT multiple times and send only their best sitting.
Question 49: Annual sales (in millions) over four years: $4M, $6M, $5M, $8M. What is the mean annual sales?
- $5M
- $6.5M
- $5.75M (Correct answer)
- $6M
Correct answer: $5.75M
Mean = (4 + 6 + 5 + 8) / 4 = 23 / 4 = $5.75M.
Question 50: A passage argues that standardized testing measures academic potential accurately. Which statement, if true, would most weaken this argument?
- Some schools have eliminated standardized testing requirements in recent years.
- Studies show test scores correlate more strongly with family income than academic ability. (Correct answer)
- Students who prepare extensively for the SAT often see score improvements.
- Many colleges use standardized tests as one of several admissions criteria.
Correct answer: Studies show test scores correlate more strongly with family income than academic ability.
If scores reflect income rather than ability, this directly undermines the claim that tests measure academic potential accurately.
Question 51: Why is continuing education important in Problem Solving Strategies?
- It is not important after certification
- To network only
- Only for re-certification requirements
- To stay current with evolving standards and practices (Correct answer)
Correct answer: To stay current with evolving standards and practices
Continuing education keeps professionals updated with the latest developments, standards, and best practices in their field.
Question 52: In 'The governor's laconic speech disappointed reporters hoping for details,' 'laconic' most nearly means:
- Rambling and unfocused
- Rehearsed and formal
- Emotional and passionate
- Brief and concise (Correct answer)
Correct answer: Brief and concise
Laconic means using very few words, often to the point of seeming rude or mysterious.
Question 53: A student is writing a paragraph about the decline of bee populations. The student wants to add a sentence that introduces a specific cause of this decline. Which of the following best fulfills this purpose?
- Researchers have identified pesticide exposure as a primary factor contributing to colony collapse disorder. (Correct answer)
- Many farmers rely on bee pollination to produce fruits and vegetables.
- Bees are important pollinators that support agricultural systems worldwide.
- Bee populations have been declining for several decades across multiple continents.
Correct answer: Researchers have identified pesticide exposure as a primary factor contributing to colony collapse disorder.
Option B directly introduces a specific cause (pesticide exposure and colony collapse disorder), which is exactly what the student needs.
Question 54: Which of the following study habits is supported by cognitive science research for Digital SAT preparation?
- Interleaved practice (mixing Math and R&W question types in each session) (Correct answer)
- Highlighting textbook content without solving problems
- Passive re-reading of prep book chapters
- Blocked practice (all Math one day, all R&W another)
Correct answer: Interleaved practice (mixing Math and R&W question types in each session)
Interleaved practice forces the brain to identify which strategy to apply, improving long-term retention and flexible problem-solving on test day.
Question 55: If sin(θ) = 3/5 in a right triangle, what is cos(θ)?
- 4/5 (Correct answer)
- 5/3
- 5/4
- 3/4
Correct answer: 4/5
Using a 3-4-5 right triangle where sin(θ) = 3/5, the adjacent side is 4, so cos(θ) = 4/5.
Question 56: What type of device is required to take the Digital SAT?
- A desktop computer only
- A traditional paper-and-pencil setup
- Any smartphone
- A laptop, tablet, or device that meets specific technical requirements (Correct answer)
Correct answer: A laptop, tablet, or device that meets specific technical requirements
The Digital SAT is administered through a secure testing application, which requires a compatible device. Students must use a laptop, tablet, or other device that meets specific technical specifications regarding operating system, screen size, and internet connectivity. This ensures the secure application runs smoothly and provides a consistent testing experience for all students.
Question 57: For what value(s) of x is the expression (x² - 16)/(x - 4) undefined?
- x = 4 only (Correct answer)
- x = 0
- x = 4 or x = -4
- x = -4 only
Correct answer: x = 4 only
The expression is undefined when the denominator equals zero: x - 4 = 0, so x = 4.
Question 58: A student scores 620 in Math and 580 in Reading & Writing on a practice test. How should they allocate study time over the next 4 weeks?
- More time on Reading & Writing since it is the weaker section (Correct answer)
- All time on Math to push the stronger section higher
- No change — 620+580 is already a good score
- Equal time on both sections
Correct answer: More time on Reading & Writing since it is the weaker section
Prioritizing the weaker section typically yields the greatest composite score gains in a limited study window.
Question 59: For the function f(x) = (x² - 1) / (x² - x - 2), which x-value is a hole (removable discontinuity)?
- x = 2
- x = 1 (Correct answer)
- x = -2
- x = -1
Correct answer: x = 1
Factor: numerator = (x-1)(x+1), denominator = (x-1)(x+2); (x-1) cancels, creating a hole at x=1.
Question 60: What is a 'mock test' in the context of Digital SAT preparation, and why is it valuable?
- A full-length timed test taken under simulated real conditions to build stamina (Correct answer)
- A practice test taken without timing to reduce anxiety
- A test of only the most difficult questions to maximize challenge
- A short 10-question quiz to warm up before studying
Correct answer: A full-length timed test taken under simulated real conditions to build stamina
A mock test replicates real test conditions — strict timing, no interruptions, same tools — building the mental stamina and time management needed on test day.
Question 61: A car travels at a constant speed. After 2 hours it has gone 90 miles, and after 5 hours it has gone 225 miles. Which linear equation models the distance d in miles after t hours?
- d = 90t
- d = 45t (Correct answer)
- d = 45t + 90
- d = 45t - 90
Correct answer: d = 45t
The speed is 90/2 = 45 mph and with d = 0 when t = 0, the equation is d = 45t.
Question 62: What is correlation?
- Proof of cause and effect
- An average value
- A statistical relationship between two variables (Correct answer)
- A type of graph
Correct answer: A statistical relationship between two variables
Correlation measures the strength and direction of a relationship between two variables, without implying that one causes the other.
Question 63: Which of the following is equivalent to (x² - 9) / (x - 3) for x ≠ 3?
- x - 3
- x + 3 (Correct answer)
- x - 9
- x² + 3
Correct answer: x + 3
Factor the numerator as (x-3)(x+3), then cancel (x-3) to get x+3.
Question 64: A student consistently misses Reading & Writing questions involving 'Text Structure and Purpose.' What is the most targeted remediation strategy?
- Skip that question type on test day
- Read a novel for pleasure each week
- Take a full-length timed test immediately
- Review College Board's skill-specific practice drills for that domain (Correct answer)
Correct answer: Review College Board's skill-specific practice drills for that domain
College Board's Khan Academy and Bluebook both offer skill-specific practice targeted to individual question categories like Text Structure and Purpose.
Question 65: How many full-length practice tests does College Board officially provide for the Digital SAT?
- 4
- 6 (Correct answer)
- 8
- 2
Correct answer: 6
College Board has released 6 official full-length Digital SAT practice tests available through Bluebook.
Question 66: A dataset of 7 scores is: 55, 70, 72, 74, 76, 78, 99. What is the IQR?
- 8 (Correct answer)
- 44
- 7
- 6
Correct answer: 8
Q1 = 70, Q3 = 78, so IQR = 78 − 70 = 8.
Question 67: Two similar triangles have corresponding sides in a ratio of 3:5. If the area of the smaller triangle is 27, what is the area of the larger triangle?
- 75 (Correct answer)
- 225
- 45
- 135
Correct answer: 75
The ratio of areas of similar figures equals the square of the ratio of corresponding sides: (3/5)² = 9/25, so area = 27 × (25/9) = 75.
Question 68: As used in the passage 'The committee sought to ameliorate the harsh conditions in the facility,' the word 'ameliorate' most nearly means:
- Publicize
- Improve (Correct answer)
- Investigate
- Worsen
Correct answer: Improve
To ameliorate means to make something bad or unsatisfactory better.
Question 69: A triangle has angles measuring 45°, 90°, and 45°. If the hypotenuse is 10, what is the length of each leg?
- 5√2 (Correct answer)
- 10√2
- 5√3
- 5
Correct answer: 5√2
In a 45-45-90 triangle, each leg = hypotenuse ÷ √2 = 10 ÷ √2 = 5√2.
Question 70: What is the recommended minimum number of official practice tests a student should complete before test day?
- 2
- 3 (Correct answer)
- 1
- 6
Correct answer: 3
Most prep experts recommend at least 3 full-length timed practice tests to build stamina and familiarity with the adaptive format.
Question 71: In the coordinate plane, what is the distance between points (1, 2) and (5, 5)?
- 5 (Correct answer)
- 7
- 4
- 3
Correct answer: 5
Distance = √[(5−1)² + (5−2)²] = √[16 + 9] = √25 = 5.
Question 72: If 2^(x+1) = 32, what is the value of x?
- 5
- 3
- 6
- 4 (Correct answer)
Correct answer: 4
32 = 2⁵, so 2^(x+1) = 2⁵ means x+1 = 5, giving x = 4.
Question 73: Which sentence is a run-on?
- After going to the store, I bought milk.
- I went to the store I bought milk. (Correct answer)
- I went to the store.
- I went to the store, and I bought milk.
Correct answer: I went to the store I bought milk.
A run-on sentence joins two independent clauses without proper punctuation or conjunction.
Question 74: A cone has a radius of 3 and a height of 4. What is the volume of the cone?
- 36π
- 48π
- 16π
- 12π (Correct answer)
Correct answer: 12π
Volume of a cone = (1/3)πr²h = (1/3) × π × 9 × 4 = 12π.
Question 75: Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of the co-interior (same-side interior) angle?
- 115° (Correct answer)
- 90°
- 65°
- 25°
Correct answer: 115°
Co-interior angles (same-side interior) are supplementary, so they add up to 180°; 180° − 65° = 115°.
Question 76: Khan Academy's Official SAT Practice is most useful for which preparation activity?
- Targeted skill practice linked to your PSAT or SAT score report (Correct answer)
- Accessing the official Digital SAT test day app
- Full-length adaptive Digital SAT simulations
- Practice with the Bluebook interface and tools
Correct answer: Targeted skill practice linked to your PSAT or SAT score report
Khan Academy syncs with College Board score reports to assign personalized practice exercises in your specific weak skill areas.
Question 77: What is the solution to the inequality 2x - 4 > 6?
- x > 3
- x > 5 (Correct answer)
- x > 1
- x < 5
Correct answer: x > 5
Add 4: 2x > 10. Divide by 2: x > 5.
Question 78: Which approach best prepares a student for the Digital SAT's 'active reading' requirement in the Reading & Writing section?
- Practicing identifying the main claim and evidence structure in short passages (Correct answer)
- Memorizing vocabulary lists of SAT words
- Skimming passages and going straight to questions
- Reading only fiction to improve comprehension
Correct answer: Practicing identifying the main claim and evidence structure in short passages
Digital SAT R&W questions test rhetorical analysis, text purpose, and evidence use within short passages, so active reading for structure is key.
Question 79: Which free official resource provides full-length adaptive Digital SAT practice tests?
- Khan Academy
- Princeton Review online
- Bluebook app (Correct answer)
- CollegeBoard PDF downloads
Correct answer: Bluebook app
Bluebook is College Board's official app that delivers adaptive Digital SAT practice tests in the same format as the real exam.
Question 80: When should you use a semicolon?
- To join two closely related independent clauses (Correct answer)
- To end a question
- To introduce a list
- Before every conjunction
Correct answer: To join two closely related independent clauses
Semicolons connect two independent clauses that are closely related in meaning, without using a conjunction.
Question 81: What is the process of elimination in multiple-choice testing?
- Skipping every other question
- Ruling out obviously incorrect answers to improve odds (Correct answer)
- Removing your first answer
- Eliminating questions you don't know
Correct answer: Ruling out obviously incorrect answers to improve odds
Process of elimination involves identifying and removing clearly wrong answers, increasing the probability of selecting the correct answer from remaining options.
Question 82: Which word correctly fills the blank? 'The researcher's ______ approach to data collection ensured that no variable was overlooked.'
- meticulous (Correct answer)
- haphazard
- impulsive
- superficial
Correct answer: meticulous
'Meticulous' means extremely careful and precise, which is consistent with ensuring no variable is overlooked.
Question 83: Which correlation coefficient best describes a strong negative linear relationship?
- r = -0.88 (Correct answer)
- r = 0.92
- r = 0.15
- r = -0.04
Correct answer: r = -0.88
A value of r = -0.88 indicates a strong negative linear relationship because it is close to -1.
Question 84: What should students do if they do not have access to a personal device for the Digital SAT?
- Request a loaner device from the testing organization or school. (Correct answer)
- Take the paper version instead.
- Borrow a device from a friend.
- Skip the test.
Correct answer: Request a loaner device from the testing organization or school.
The College Board and many schools understand that not all students have access to a personal device for the Digital SAT. To ensure equitable access, students who lack a suitable device can request a loaner device from their school or the testing organization. This provision helps ensure every student has the opportunity to take the exam.
Question 85: Which of the following is equivalent to x^(3/2)?
- x³/2
- x√x
- √(x³)
- Both A and C (Correct answer)
Correct answer: Both A and C
x^(3/2) = x^1 · x^(1/2) = x√x, and also x^(3/2) = (x³)^(1/2) = √(x³); both A and C are correct.
Question 86: A passage uses formal academic language throughout, but one sentence reads: 'The policy was a total disaster and nobody liked it.' A student wants to revise this sentence to match the passage's tone. Which revision is best?
- The policy was considered by many to be not very good at all.
- The policy proved deeply unpopular and was widely considered a failure. (Correct answer)
- The policy did not go well and people were upset about it.
- The policy failed big-time, generating significant public backlash.
Correct answer: The policy proved deeply unpopular and was widely considered a failure.
Option A uses formal, precise language consistent with academic writing, replacing informal phrases with appropriate diction.
Question 87: A random sample of 500 voters shows 55% support a ballot measure, but the true population support is 52%. What best explains the 3-point difference?
- The population proportion must be incorrect
- The survey was intentionally biased
- 55% is always more accurate than 52%
- The difference is due to sampling variability (Correct answer)
Correct answer: The difference is due to sampling variability
Random samples naturally vary from the true population value; this difference is expected sampling variability.
Question 88: Which reference sheet is provided to all students during the Digital SAT Math section?
- A statistics and probability formula sheet
- No reference sheet is provided — all formulas must be memorized
- A full algebra formula list
- A geometry and trigonometry formula reference sheet (Correct answer)
Correct answer: A geometry and trigonometry formula reference sheet
The Digital SAT provides a built-in reference sheet with geometry formulas (areas, volumes, Pythagorean theorem, special triangles) and basic trig ratios.
Question 89: How many sections does the Digital SAT consist of?
- One
- Two (Correct answer)
- Four
- Three
Correct answer: Two
The Digital SAT consists of two main sections: Reading and Writing, and Math. Each of these sections is further divided into two modules, but the overall structure is two distinct subject areas. This streamlined format is a key change from the previous paper-based SAT, making the test more efficient.
Question 90: A student is using a third-party prep book alongside official College Board materials. What is the most important thing to verify about the third-party content?
- That the book has positive Amazon reviews
- That the book includes at least 10 full-length practice tests
- That the book's author attended an Ivy League university
- That the book was published after 2023 and covers the Digital SAT adaptive format (Correct answer)
Correct answer: That the book was published after 2023 and covers the Digital SAT adaptive format
Third-party books written for the old paper SAT are misaligned with the Digital SAT's adaptive structure, shorter passages, and new question distribution.
Question 91: A dataset has values: 12, 15, 15, 18, 20, 22, 95. Which measure of center best represents the typical value?
- Mode
- Mean
- Median (Correct answer)
- Range
Correct answer: Median
The median is resistant to the outlier 95, making it the best measure of center for skewed data.
Question 92: What is parallel structure in writing?
- Writing sentences of equal length
- Using the same words repeatedly
- Using the same grammatical form for similar ideas in a series (Correct answer)
- Starting every paragraph the same way
Correct answer: Using the same grammatical form for similar ideas in a series
Parallel structure means expressing similar ideas using consistent grammatical patterns for clarity and rhythm.
Question 93: Which of the following transition words most effectively introduces a contrasting idea?
- Nevertheless (Correct answer)
- Furthermore
- As a result
- Similarly
Correct answer: Nevertheless
"Nevertheless" signals that the following idea qualifies or contradicts what was previously stated, making it the correct contrast transition.
Question 94: The word 'proliferate' in 'Misinformation tends to proliferate on unmoderated platforms' most nearly means:
- Decrease gradually
- Become more dangerous
- Increase rapidly in number (Correct answer)
- Be corrected automatically
Correct answer: Increase rapidly in number
To proliferate means to increase rapidly in number or spread widely.
Question 95: Ice cream sales and drowning rates both rise in summer. A reporter claims ice cream causes drowning. What is the flaw in this reasoning?
- The reporter confused mean and median
- Drowning rates never correlate with any sales data
- Hot weather is a confounding variable causing both to rise (Correct answer)
- The data is fabricated
Correct answer: Hot weather is a confounding variable causing both to rise
Hot weather drives both ice cream consumption and swimming activity, making temperature the confounding variable.
Question 96: Which is the most effective way to prepare for the Digital SAT?
- Focusing only on the Math section.
- Skipping practice and focusing solely on schoolwork.
- Taking practice tests on a computer or tablet. (Correct answer)
- Memorizing all vocabulary words and formulas.
Correct answer: Taking practice tests on a computer or tablet.
Since the Digital SAT is administered entirely on a computer or tablet, the most effective way to prepare is by taking practice tests in a similar digital environment. This helps students become familiar with the online interface, built-in tools like the calculator, and the adaptive nature of the test. Practicing digitally also builds stamina for screen-based testing and helps manage time effectively.
Question 97: A researcher randomly assigns participants to receive a vitamin supplement or a placebo. After 3 months, the supplement group shows significantly better energy levels. What type of study is this?
- Observational study
- Case study
- Randomized controlled experiment (Correct answer)
- Retrospective study
Correct answer: Randomized controlled experiment
Random assignment to treatment and control groups defines a randomized controlled experiment.
Question 98: A passage states that a new medication reduced symptoms in 85% of clinical trial participants. The author concludes that the medication is effective. Which assumption is this conclusion based on?
- The medication has no side effects worth reporting.
- The remaining 15% of participants did not actually have the condition.
- The clinical trial was representative and conducted without significant flaws. (Correct answer)
- All participants in the trial had identical health profiles.
Correct answer: The clinical trial was representative and conducted without significant flaws.
The conclusion that the medication is effective assumes the trial was valid and representative — without this, the 85% figure could be misleading.
Digital SAT (DSAT)
The Digital SAT is College Board's computer-adaptive college admissions test measuring critical reading, writing, and mathematics skills. It uses a two-module adaptive format across two sections — Reading and Writing, and Math — and is scored on a 400–1600 scale.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds
These practice questions were written with AI tools. They are not real exam questions. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy
- satsuite.collegeboard.org — Test delivery, fees, registration, test dates, exam information · verified Nov 2026