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Digital SAT practice questions

211 free questions with answers and explanations.

Practice test
  1. 151.A projectile is launched vertically upward from the ground. Its height h, in meters, after t seconds, is given by the function h(t) = -5t² + 40t. At what time does the projectile reach its maximum height?Math: Algebra
  2. 152.A farmer is fencing a rectangular plot of land. The length of the plot is 5 feet more than twice its width. If the perimeter of the plot is 100 feet, what is the width of the plot?Math: Algebra
  3. 153.A baker is using a recipe that calls for 2.5 cups of flour for every 1 cup of sugar. If the baker uses 6.25 cups of flour, how many cups of sugar are needed?Math: Algebra
  4. 154.A meteorologist is tracking the temperature change during a cold front. At 8:00 AM, the temperature was 12°C. Every hour, the temperature dropped by 1.5°C. Which of the following equations represents the temperature, T, in degrees Celsius, h hours after 8:00 AM?Math: Algebra
  5. 155.A biologist is studying a bacterial culture where the population doubles every 3 hours. If the initial population is 200 bacteria, which equation models the population P after t hours?Math: Algebra
  6. 156.A financial analyst is modeling the growth of an investment. The value of the investment, V, in dollars, after t years is given by the function V(t) = P(1 + r)^t, where P is the principal and r is the annual interest rate. If P = $1000, r = 0.05, and the investment grows to $1215.51, approximately how many years, t, has the investment been held?Math: Algebra
  7. 157.A scientist is observing the decay of a radioactive substance. The amount of the substance, A, in grams, remaining after t days is given by the equation A = 250(0.8)^t. What is the approximate half-life of this substance, in days?Math: Algebra
  8. 158.A car's fuel efficiency, E, in miles per gallon (mpg), varies inversely with its speed, S, in miles per hour (mph), when driving above a certain speed limit. If the car gets 30 mpg at 60 mph, what is its fuel efficiency at 75 mph?Math: Algebra
  9. 159.A chemist is preparing a solution by mixing two different concentrations of acid. Solution A is 15% acid, and Solution B is 40% acid. The chemist wants to produce 500 mL of a 25% acid solution. Let 'a' be the volume of Solution A in mL and 'b' be the volume of Solution B in mL. Which system of equations can be used to find the volumes of Solution A and Solution B needed?Math: Algebra
  10. 160.A chemist is mixing two solutions. Solution A is 10% acid, and Solution B is 40% acid. How many liters of Solution B must be mixed with 5 liters of Solution A to obtain a mixture that is 25% acid?Math: Algebra
  11. 161.A technician is calibrating a sensor that measures temperature. The sensor output, S, in millivolts, is related to the temperature, T, in degrees Celsius, by the equation S = 0.5T + 20. If the technician measures an output of 35 millivolts, what is the temperature in degrees Celsius?Math: Algebra
  12. 162.A small business sells artisanal candles. The cost to produce x candles is given by C(x) = 2.5x + 50. The revenue from selling x candles is R(x) = 7.5x. How many candles must the business sell to break even?Math: Algebra
  13. 163.A robotics engineer is programming a robot's movement. The robot's position, P(t), in meters, at time t seconds, is described by the radical equation P(t) = 5 + √(2t + 1). At what time 't' will the robot be at a position of 8 meters?Math: Algebra
  14. 164.A financial analyst is comparing two investment options. Option A's value, V_A(t), is modeled by V_A(t) = 1000(1.05)^t, and Option B's value, V_B(t), is modeled by V_B(t) = 1500(1.03)^t, where t is the number of years. Approximately how many years will it take for the value of Option A to exceed the value of Option B?Math: Algebra
  15. 165.A scientist is conducting an experiment where the temperature, T, in degrees Celsius, inside a chamber is controlled by the equation T = |5t - 30| + 15, where t is the time in minutes. What is the minimum temperature reached in the chamber?Math: Algebra
  16. 166.A scientist is tracking the population of a certain type of insect. The population, P(t), after t months, is modeled by the function P(t) = 500 / (1 + 4 * e^(-0.2t)). What is the carrying capacity of this insect population?Math: Algebra
  17. 167.A biologist observes a population of deer. The population, P(t), after t years can be modeled by the polynomial function P(t) = -t^3 + 12t^2 - 36t + 200. What is the population at t = 0 years?Math: Algebra
  18. 168.A scientist is studying the relationship between the temperature (T) in Celsius and the resistance (R) of a certain material. The relationship is given by the equation R = 0.5T + 20. If the resistance is measured to be 32.5 ohms, what is the temperature in Celsius?Math: Algebra
  19. 169.A civil engineer is designing a parabolic arch for a bridge. The height of the arch, h(x), in meters, at a horizontal distance x meters from the left support, is given by h(x) = -0.05x(x - 60). What is the maximum height of the arch?Math: Algebra
  20. 170.A student is writing an essay about the impact of artificial intelligence on creative industries. She wants to introduce a paragraph discussing how AI tools can assist artists without replacing human creativity. Which choice best introduces the paragraph to achieve this goal?Reading and Writing: Expression of Ideas
  21. 171.A researcher is drafting a report on the decline of bee populations. She has just discussed the role of pesticide use and now wants to transition to the impact of habitat loss. She writes: "Pesticides undeniably contribute to the vulnerability of bee colonies. _______. The destruction of natural foraging grounds and nesting sites further exacerbates the challenges faced by these vital pollinators." Which transitional word or phrase best connects these two sentences?Reading and Writing: Expression of Ideas
  22. 172.A historian is writing about the economic impact of the Silk Road. She wants to emphasize the widespread and diverse nature of goods exchanged along the route. She writes: "The Silk Road was not merely a conduit for luxurious textiles; it facilitated a truly ______ exchange of commodities, ranging from precious metals and spices to exotic animals and innovative technologies." Which word best completes the sentence to achieve the historian's goal?Reading and Writing: Expression of Ideas
  23. 173.A chef's meticulous preparation of ingredients, along with his innovative use of spices, ______ his signature dishes a distinctive and memorable flavor.Reading and Writing: Standard English Conventions
  24. 174.A team of archaeologists, after years of painstaking excavation, discovered a series of ancient tunnels, the entrance to which ______ hidden beneath layers of volcanic ash.Reading and Writing: Standard English Conventions
  25. 175.A team of researchers exploring the deep sea encountered several previously unknown species, each of which ______ unique bioluminescent properties.Reading and Writing: Standard English Conventions
  26. 176.A philosopher's seminal work, a collection of essays that challenged conventional thought, ______ widely considered a foundational text in postmodernism.Reading and Writing: Standard English Conventions
  27. 177.A historian studying ancient civilizations recently unearthed a collection of artifacts, the significance of which ______ yet to be fully understood.Reading and Writing: Standard English Conventions
  28. 178.A chef, renowned for his innovative fusion cuisine, meticulously prepared the ingredients, each ______________ carefully weighed and measured for optimal flavor balance.Reading and Writing: Standard English Conventions
  29. 179.A historian, meticulously analyzing ancient texts, uncovered evidence that the widespread belief in a flat Earth, despite compelling counter-evidence from early navigators, ______________ surprisingly persistent among some populations.Reading and Writing: Standard English Conventions
  30. 180.A historian argues that the widespread belief in a flat Earth, despite compelling evidence to the contrary, ______ a symptom of intellectual inertia rather than a lack of observational data.Reading and Writing: Standard English Conventions
  31. 181.A meteorologist observed that the atmospheric conditions, particularly the rapidly shifting wind patterns, ______ indicative of an approaching severe storm.Reading and Writing: Standard English Conventions
  32. 182.A historian presenting new findings emphasized that neither the archeological evidence nor the ancient texts ______ definitively explain the sudden decline of the civilization.Reading and Writing: Standard English Conventions
  33. 183.A novelist, known for her intricate plots and vivid characterizations, frequently revises her manuscripts, a practice that ______ her works with a distinctive polish.Reading and Writing: Standard English Conventions
  34. 184.An architect's preliminary sketches, often characterized by their fluid lines and exploratory forms, ______ a crucial stage in the design process, allowing for the rapid generation and evaluation of diverse spatial ideas.Reading and Writing: Standard English Conventions
  35. 185.A political scientist noted that the dynamics of global power, specifically the rise of new economic blocs, ______ profoundly reshaping traditional alliances.Reading and Writing: Standard English Conventions
  36. 186.A team of marine biologists, studying the effects of ocean acidification on coral reefs, observed that the structural integrity of the coral skeletons ______________ significantly compromised.Reading and Writing: Standard English Conventions
  37. 187.A historian is analyzing a set of colonial-era letters and wants to describe the pervasive influence of religious beliefs on daily life, emphasizing how deeply ingrained these beliefs were. Which choice best conveys this emphasis?Reading and Writing: Expression of Ideas
  38. 188.A student is writing an essay arguing for the importance of funding public libraries. She has just presented data showing a decline in library usage over the past decade. She now wants to introduce a point that challenges this decline by highlighting a different, positive trend in library services. Which choice best accomplishes this goal?Reading and Writing: Expression of Ideas
  39. 189.A scientist is drafting a report on the effectiveness of a new drought-resistant crop. She has just detailed the crop's superior yield in arid conditions. She now wants to introduce a discussion about the challenges associated with its widespread adoption, such as seed cost and intellectual property rights. Which transitional phrase best introduces this shift?Reading and Writing: Expression of Ideas
  40. 190.A chef is mixing a special sauce. She needs to combine two ingredients, A and B. Ingredient A costs $3 per ounce, and Ingredient B costs $5 per ounce. If she wants to make 20 ounces of sauce that costs exactly $4.20 per ounce, how many ounces of Ingredient A should she use?Math: Algebra
  41. 191.A student is writing an argumentative essay about the benefits of renewable energy sources. She has just completed a paragraph detailing the environmental advantages of solar power. She now wants to introduce a discussion about its economic viability and job creation potential. Which transition best introduces this new idea?Reading and Writing: Expression of Ideas
  42. 192.A scientist is tracking the trajectory of a launched probe. The height of the probe, h(t), in meters above the ground, after t seconds, is given by the equation h(t) = -4.9t^2 + 98t + 10. At what time does the probe reach its maximum height?Math: Algebra
  43. 193.A biologist is studying a bacterial culture. The number of bacteria, N(t), after t hours, is given by the function N(t) = 500 * (1.15)^t. What is the approximate number of bacteria after 4 hours?Math: Algebra
  44. 194.A scientist is tracking the population of a certain type of algae in a pond. The population, P(t), in thousands, after t weeks, can be modeled by the function P(t) = 150 / (1 + 4e^(-0.5t)). What is the carrying capacity of the pond for this algae?Math: Algebra
  45. 195.A civil engineer is designing a suspension bridge. The height, h(x), in meters, of the main cable above the bridge deck can be modeled by the function h(x) = 0.005x^2 - 0.6x + 20, where x is the horizontal distance in meters from the left support. What is the minimum height of the cable above the deck?Math: Algebra
  46. 196.A biologist is studying the growth of a particular type of fungus. The mass of the fungus, M(t), in grams, after t days, is modeled by the equation M(t) = 50 * (1.2)^t. What is the approximate daily percentage growth rate of the fungus?Math: Algebra
  47. 197.A student is composing a literary analysis of Shakespeare's *Hamlet*. She is discussing Hamlet's indecisiveness and has provided several examples of his procrastination. She now wants to introduce a counter-argument: that Hamlet's delay is not indecisiveness but a calculated strategy. Which transition best introduces this opposing viewpoint?Reading and Writing: Expression of Ideas
  48. 198.A scientist is drafting a research paper on the migratory patterns of monarch butterflies. She has just discussed how deforestation in Mexico negatively impacts their overwintering sites. She now wants to pivot to discussing the effects of climate change on their breeding grounds in North America. Which transition best introduces this shift in focus?Reading and Writing: Expression of Ideas
  49. 199.A historian is analyzing primary sources from the American Civil Rights Movement. She wants to highlight the profound emotional impact of a particular speech, emphasizing its ability to inspire hope and galvanize action among activists. Which phrase best conveys this strong emotional and motivational effect?Reading and Writing: Expression of Ideas
  50. 200.A student is writing an essay arguing that stricter regulations are needed for cryptocurrency markets. She has presented data illustrating the volatility of these markets and the risks to individual investors. She now wants to introduce the argument that unregulated cryptocurrencies also pose a threat to national financial stability. Which option provides the most effective introduction to this new argument, maintaining a formal tone?Reading and Writing: Expression of Ideas