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Digital SAT practice questions

211 free questions with answers and explanations.

Practice test
  1. 51.A sociologist is studying the impact of remote work on employee well-being. She conducts a survey where 70% of remote workers report feeling less stressed due to the elimination of commuting, and 60% report better work-life balance. However, 40% also report feeling more isolated, and 30% state they struggle with distinguishing work time from personal time. The sociologist hypothesizes that while remote work offers certain advantages, it also introduces unique challenges that can negatively impact well-being. Which of the following statements best synthesizes the central idea regarding remote work's impact on well-being, as presented in the sociologist's findings?Reading and Writing: Information and Ideas
  2. 52.A historian is analyzing a series of political cartoons published in a newspaper during a period of intense public debate about immigration policy. Many of the cartoons depict immigrants as a 'flood' or a 'tide' overwhelming the nation's borders, often showing them with exaggerated features or in tattered clothing. Other cartoons, in the same newspaper, portray established citizens as 'guardians' protecting national heritage. Which of the following best describes the rhetorical strategy employed by these cartoons?Reading and Writing: Information and Ideas
  3. 53.A scientist is modeling the concentration of a drug in a patient's bloodstream over time. The concentration C(t), in milligrams per liter, after t hours, is given by the function C(t) = (5t + 10) / (t + 2). What is the concentration of the drug as t approaches infinity?Math: Advanced Math
  4. 54.A city's population increased from 180,000 to 198,000 in one year. What was the percentage increase in the population?Math: Problem-Solving and Data Analysis
  5. 55.A surveyor needs to determine the height of a flagpole. From a point on the ground 20 meters away from the base of the flagpole, the angle of elevation to the top of the flagpole is measured to be 30°. Approximately what is the height of the flagpole?Math: Geometry and Trigonometry
  6. 56.A recipe for lemonade calls for 4 lemons for every 6 cups of water. If a large batch requires 15 cups of water, how many lemons are needed?Math: Problem-Solving and Data Analysis
  7. 57.A construction worker is installing a new window. The window frame is perfectly rectangular, and its diagonal measures 5 feet. If the height of the window is 3 feet, what is the width of the window?Math: Geometry and Trigonometry
  8. 58.A robotics engineer is designing a robot arm's movement. The arm's position (x, y) at time t (in seconds) is described by the system of equations: y = x^2 - 4x + 5 and y = 2x - 3. At what x-coordinate(s) does the robot arm's path intersect?Math: Advanced Math
  9. 59.A research article discusses the phenomenon of 'cognitive load' in learning. It states that when individuals are presented with too much new information simultaneously, their working memory becomes overloaded, hindering the transfer of information to long-term memory. The article then describes an experiment where two groups learned a complex task: Group A received all instructions at once, while Group B received the same instructions broken down into smaller, sequential steps. Group B significantly outperformed Group A in both immediate recall and long-term retention of the task. Which of the following statements is a logical inference based on the information presented?Reading and Writing: Information and Ideas
  10. 60.A civil engineer is calculating the stress on a bridge support. The stress S (in Pascals) at a certain point is given by the expression (x^2 - 9) / (x^2 - 5x + 6). For what value(s) of x is the expression undefined?Math: Advanced Math
  11. 61.A biologist is studying a population of insects that grows according to the function P(t) = 1500 / (1 + 4e^(-0.2t)), where P(t) is the population after t days. What is the carrying capacity of this environment for the insect population?Math: Advanced Math
  12. 62.A meteorologist is tracking rainfall. The probability of rain on any given day is 0.4. What is the probability that it will rain on exactly 2 out of 3 consecutive days, assuming the days are independent?Math: Problem-Solving and Data Analysis
  13. 63.An architect is designing a spherical dome for a planetarium with a radius of 20 meters. To cover the dome, they need to calculate its surface area. What is the surface area of the dome?Math: Geometry and Trigonometry
  14. 64.A factory produces two types of components, A and B. The cost to produce x units of component A is C_A(x) = 2x^2 + 500, and the cost to produce y units of component B is C_B(y) = 3y^2 + 200. If the factory produces a total of 100 units (x + y = 100) and the total cost is minimized, which equation must be true for the number of units produced?Math: Advanced Math
  15. 65.An urban planner is assessing the effectiveness of a new zoning regulation designed to encourage mixed-use developments (residential and commercial) in city centers. The regulation aims to reduce traffic congestion by allowing residents to live closer to their workplaces and daily amenities. Initial data shows an increase in the number of mixed-use permits issued, but also a slight increase in overall traffic volume in the regulated areas. Which of the following statements offers the most plausible explanation for this seemingly contradictory data?Reading and Writing: Information and Ideas
  16. 66.A financial analyst is modeling the quarterly profit P(x) of a company, in thousands of dollars, as a function of the number of items sold, x, in hundreds. The model is given by P(x) = -2x^2 + 12x - 10. What is the maximum profit the company can achieve?Math: Advanced Math
  17. 67.A team of archaeologists is excavating an ancient settlement. They uncover evidence of sophisticated irrigation systems, large granaries, and specialized tools for weaving and pottery. There are also indications of a hierarchical social structure, with a central, monumental temple and distinct burial practices for different social classes. However, evidence of extensive warfare, such as fortified walls or large caches of weapons, is conspicuously absent. Based on these findings, which of the following is the most reasonable inference about this ancient society?Reading and Writing: Information and Ideas
  18. 68.A literary critic is analyzing a novel where the protagonist, Elara, frequently observes a particular constellation, 'The Wanderer's Veil,' which is only visible during times of personal uncertainty or significant transition. The novel describes Elara feeling a mix of apprehension and hope whenever she sees it. In the final chapter, after making a life-altering decision to leave her familiar village, Elara looks up and sees 'The Wanderer's Veil' shining brightly. Which of the following best describes the symbolic significance of 'The Wanderer's Veil' in the context of Elara's journey?Reading and Writing: Information and Ideas
  19. 69.A health clinic collected data on the number of patients seen per day for a month. The data is summarized in a histogram. If the clinic saw between 10-19 patients on 5 days, 20-29 patients on 12 days, 30-39 patients on 8 days, and 40-49 patients on 5 days, what is the relative frequency of days where the clinic saw 30 or more patients?Math: Problem-Solving and Data Analysis
  20. 70.A population of deer in a national park is modeled by the function P(t) = 1000 / (1 + 9e^(-0.2t)), where P(t) is the population after t years. What is the carrying capacity of the park for the deer population?Math: Advanced Math
  21. 71.A financial analyst is modeling the value of a stock, V(t), in dollars, after t months, using the function V(t) = 2t^2 - 12t + 50. When will the stock value be at its minimum?Math: Advanced Math
  22. 72.A photographer is adjusting the settings on her camera. The relationship between the aperture setting (A) and the depth of field (D) is inversely proportional. If an aperture setting of 8 results in a depth of field of 1.5 meters, which equation represents the relationship between A and D?Math: Advanced Math
  23. 73.A marine biologist is studying coral reef ecosystems. She observes that a particular species of fish, *Chromis viridis*, consistently exhibits schooling behavior in open water but disperses and seeks shelter among coral branches when a predatory shark, *Carcharhinus amblyrhynchos*, is sighted. When a non-predatory herbivorous shark, *Rhincodon typus*, is observed, the *Chromis viridis* maintain their schooling behavior. The biologist hypothesizes that the schooling behavior of *Chromis viridis* serves as a primary defense mechanism against specific threats, rather than a general social behavior. Which of the following observations would most strongly support the biologist's hypothesis?Reading and Writing: Information and Ideas
  24. 74.A scientist is observing the population of a certain species of fish in a lake. The population, P(t), after t years, is modeled by the function P(t) = 1500 / (1 + 9e^(-0.2t)). What is the instantaneous rate of change of the population when the population is 750 fish?Math: Advanced Math
  25. 75.A student is using a protractor to measure an angle in radians. If the angle measures 120°, what is this angle in radians?Math: Geometry and Trigonometry
  26. 76.A school conducted a survey among its 800 students about their preferred after-school activities. The results showed that 35% prefer sports, 25% prefer art, and the remaining students prefer academic clubs. If the ratio of boys to girls in the academic clubs is 3:5, how many girls prefer academic clubs?Math: Problem-Solving and Data Analysis
  27. 77.A robotics engineer is programming a robot arm. The path of the arm's gripper can be described by the function h(t) = -t^2 + 6t - 5, where h(t) is the height in meters and t is the time in seconds. At what times will the gripper be at a height of 0 meters?Math: Advanced Math
  28. 78.A team of researchers is studying the long-term effects of screen time on cognitive development in young children. They conducted a longitudinal study tracking children from birth to age seven. One finding indicates that children with more than two hours of screen time per day at age two scored, on average, 15 points lower on a standardized cognitive assessment at age five compared to children with less than 30 minutes of screen time per day. However, the study also notes that parental education levels and socioeconomic status were significantly higher in the low screen-time group. Based on this information, which of the following is the most reasonable inference regarding the relationship between screen time and cognitive development?Reading and Writing: Information and Ideas
  29. 79.A biologist is studying the growth of a certain plant species. The height of the plant, H(t), in centimeters, after t weeks, can be modeled by the function H(t) = 3 * (1.15)^t. What is the predicted height of the plant after 4 weeks?Math: Advanced Math
  30. 80.A financial analyst is reviewing a company's sales data. In Q1, the company sold 2,400 units. In Q2, sales increased by 20% compared to Q1. In Q3, sales decreased by 10% compared to Q2. What were the company's sales in Q3?Math: Problem-Solving and Data Analysis
  31. 81.A civil engineer is calculating the stress on a bridge support. The stress S (in Pascals) at a certain point is given by the function S(r) = (r^3 - 8) / (r - 2), where r is a variable related to the design parameters. What is the value of S(r) as r approaches 2?Math: Advanced Math
  32. 82.A survey of 500 high school students found that 60% prefer online learning, 25% prefer in-person learning, and the rest have no preference. How many students have no preference?Math: Problem-Solving and Data Analysis
  33. 83.A rocket engineer is calculating the maximum height achieved by a test rocket. The height, h(t), in meters, at time t seconds after launch, is given by the function h(t) = -4.9t^2 + 196t + 10. What is the maximum height the rocket reaches?Math: Advanced Math
  34. 84.A city planner is evaluating the effectiveness of a new public transportation initiative aimed at reducing downtown traffic congestion. The initiative involved increasing bus frequency on existing routes and introducing a new ride-sharing service subsidized by the city. After six months, a report shows that bus ridership increased by 15%, and the ride-sharing service saw 10,000 unique users. However, downtown traffic congestion has only decreased by 2%, and parking garage occupancy has remained unchanged. Which of the following inferences is most strongly supported by the report's findings?Reading and Writing: Information and Ideas
  35. 85.A historian is analyzing a set of government speeches from the early 20th century, all delivered during a period of significant economic downturn. Many of the speeches emphasize themes of national unity, resilience, and the importance of collective sacrifice to overcome adversity. They frequently employ metaphors of a 'ship in a storm' or a 'family facing hardship.' Which of the following is the central idea conveyed by these speeches?Reading and Writing: Information and Ideas
  36. 86.A graphic designer is creating a logo that involves a sector of a circle. The circle has a radius of 10 cm, and the central angle of the sector is 72°. What is the area of this sector?Math: Geometry and Trigonometry
  37. 87.A financial analyst is modeling the value of an investment. The value V(t) of the investment, in thousands of dollars, after t years, is given by V(t) = 10 * (1.05)^t. What is the instantaneous rate of change of the investment's value at t = 2 years?Math: Advanced Math
  38. 88.A city planner is designing a new park. A circular fountain will be placed in the center, and a straight path will run tangent to the fountain. If the fountain has a radius of 5 meters and the point of tangency on the path is 12 meters from the park entrance along the path, what is the straight-line distance from the center of the fountain to the park entrance?Math: Geometry and Trigonometry
  39. 89.A historian is analyzing a collection of personal letters from 19th-century factory workers. Many letters describe harsh working conditions, low wages, and long hours, often expressing a sense of powerlessness against factory owners. Which of the following statements best synthesizes the central idea presented in these letters regarding the workers' economic situation?Reading and Writing: Information and Ideas
  40. 90.A literary scholar is analyzing a 19th-century novel where the protagonist frequently visits an old, decaying library, often finding solace and forgotten knowledge within its dusty shelves. This library is described as being located at the edge of town, rarely frequented by others, and filled with books on esoteric and obscure subjects. Which of the following best describes the symbolic significance of the library in the novel?Reading and Writing: Information and Ideas
  41. 91.A historian is studying the economic impact of a major technological innovation, the steam engine, on 18th-century Great Britain. Official records show a significant increase in coal production and textile manufacturing, along with the rapid growth of industrial cities. However, personal diaries and letters from the period frequently lament the deteriorating air quality in cities, the long working hours in factories, and the displacement of skilled artisans by machinery. Which of the following statements best synthesizes these different perspectives on the steam engine's impact?Reading and Writing: Information and Ideas
  42. 92.A team of neuroscientists is studying the effects of sleep deprivation on cognitive function. Their research involves monitoring brain activity and performance on various tasks after different durations of sleep. One study participant, after 24 hours without sleep, showed significantly reduced activity in the prefrontal cortex and scored 30% lower on a complex problem-solving task compared to their baseline. Another participant, after 12 hours without sleep, exhibited only a 5% decrease in task performance and a minor reduction in prefrontal cortex activity. Based on this information, which of the following can be most reasonably inferred?Reading and Writing: Information and Ideas
  43. 93.A company produces two types of widgets, standard and deluxe. The production cost for a standard widget is $5, and for a deluxe widget is $8. The company produced a total of 500 widgets last week, with a total production cost of $3,250. How many deluxe widgets were produced last week?Math: Problem-Solving and Data Analysis
  44. 94.A team of ecological researchers is studying the population dynamics of a specific species of migratory bird. They observe that in years with unusually cold springs, the birds' breeding success significantly declines due to a lack of insect prey. However, the overall population size of the migratory bird species does not show a corresponding sharp decline in the subsequent year. Which of the following, if true, would best explain the discrepancy between reduced breeding success and stable population size?Reading and Writing: Information and Ideas
  45. 95.A pilot is planning a short flight. The flight path involves flying 60 miles due east and then turning due north for 80 miles. What is the straight-line distance from the starting point to the final destination?Math: Geometry and Trigonometry
  46. 96.A sociologist is analyzing demographic data from several urban neighborhoods. She finds that Neighborhood A has a high percentage of residents who commute by public transportation, a large number of local small businesses, and numerous community parks. Neighborhood B, in contrast, has a high percentage of residents who commute by private vehicle, predominantly large chain stores, and fewer green spaces. Based on this information, which of the following is the most reasonable inference about the quality of life in these neighborhoods?Reading and Writing: Information and Ideas
  47. 97.A historian is examining a collection of medieval manuscripts that describe daily life in a monastic community. One manuscript, a chronicle, details the construction of a new infirmary, mentioning the acquisition of specific herbs and the employment of a skilled 'leech' (physician). Another, a ledger, records regular purchases of expensive imported spices and fine cloth, alongside large quantities of basic foodstuffs. A third manuscript, a book of rules, emphasizes austerity and self-sufficiency. Based on these three documents, which of the following inferences is most strongly supported?Reading and Writing: Information and Ideas
  48. 98.A pharmaceutical company is testing a new drug. The concentration of the drug in a patient's bloodstream, C(t), in mg/L, t hours after administration, is given by C(t) = (5t) / (t^2 + 1). What is the behavior of the drug concentration as time (t) approaches infinity?Math: Advanced Math
  49. 99.A city planner is analyzing traffic flow. On a particular road, 750 cars passed in 30 minutes. If this rate continues, how many cars would be expected to pass in 2 hours and 15 minutes?Math: Problem-Solving and Data Analysis
  50. 100.A pharmaceutical company is testing a new drug. The concentration of the drug in a patient's bloodstream, C(t), in mg/L, after t hours, is given by the function C(t) = (5t) / (t^2 + 1). What is the behavior of the drug concentration as t approaches infinity?Math: Advanced Math