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ACT (Enhanced) practice questions

216 free questions with answers and explanations.

Practice test
  1. 151.A farmer is planning a new rectangular pasture. He has 400 meters of fencing available. If he wants to maximize the area of the pasture, what should be the dimensions of the rectangle?Mathematics
  2. 152.A meteorologist is tracking a weather balloon. The balloon's altitude (h) in meters above ground is given by the function h(t) = -2t² + 40t + 50, where 't' is the time in minutes since launch. What is the maximum altitude the balloon reaches?Mathematics
  3. 153.A financial planner is evaluating a client's investment portfolio. One investment follows a continuous compounding model. If an initial investment of $10,000 grows to $12,214 after 2 years at an annual interest rate, compounded continuously, which of the following expressions represents the annual interest rate (r)?Mathematics
  4. 154.A civil engineer is calculating the maximum load a bridge can withstand. The stress (S) on a critical component is given by the formula S = k * (L/A), where k is a constant, L is the applied load, and A is the cross-sectional area. If the applied load L is increased by 20% and the cross-sectional area A is decreased by 10%, what is the new stress as a percentage of the original stress?Mathematics
  5. 155.A scientist is studying the relationship between the number of hours a plant is exposed to light (h) and its growth in centimeters (g). The relationship is modeled by the function g(h) = -0.1h^2 + 2h + 5. What is the average rate of change of the plant's growth between 5 hours and 10 hours of light exposure?Mathematics
  6. 156.A paleontologist is dating a fossil using carbon-14. The amount of carbon-14 remaining in a sample, A(t), after t years, is given by the formula A(t) = A0 * (0.5)^(t/5730), where A0 is the initial amount. If a fossil contains 12.5% of its original carbon-14, approximately how old is the fossil?Mathematics
  7. 157.A data scientist is analyzing a dataset of customer ages. The ages are normally distributed with a mean of 35 years and a standard deviation of 5 years. Approximately what percentage of customers are between 30 and 40 years old?Mathematics
  8. 158.A botanist is tracking the growth of a rare plant species. The height of the plant, h(t), in centimeters, after t weeks, can be modeled by the function h(t) = 3 * (1.2)^t. What is the initial height of the plant when t = 0?Mathematics
  9. 159.A biologist is observing a population of bacteria that grows according to the logistic model P(t) = 1000 / (1 + 9e^(-0.5t)), where P(t) is the population at time t in hours. What is the carrying capacity of this bacterial population?Mathematics
  10. 160.A financial analyst is modeling the value of a stock. The value V(t) in dollars after t months is given by the function V(t) = 50 * e^(0.02t). What is the instantaneous rate of change of the stock value at t = 10 months?Mathematics
  11. 161.A civil engineer is calculating the volume of concrete needed for a cylindrical support column. The column has a radius of 0.5 meters and a height of 8 meters. If concrete costs $75 per cubic meter, what is the total cost of the concrete for one column? (Use π ≈ 3.14)Mathematics
  12. 162.A civil engineer is designing a new bridge. The maximum stress (S) a beam can withstand is inversely proportional to the square of its length (L). If a beam of length 10 meters can withstand a stress of 500 kPa, what stress can a beam of length 20 meters withstand?Mathematics
  13. 163.A production manager is reviewing the efficiency of an assembly line. The number of defective units produced per hour follows a normal distribution with a mean of 15 units and a standard deviation of 3 units. What is the probability that in a given hour, the assembly line produces between 12 and 18 defective units?Mathematics
  14. 164.A landscape architect is designing a rectangular garden plot. The length of the plot is 12 feet and the width is 8 feet. If a fence is to be built around the entire perimeter of the garden, how many feet of fencing will be needed?Mathematics
  15. 165.A botanist is tracking the growth of a plant. The plant's height (h) in centimeters after 'd' days is given by the equation h = 2d + 5. What is the predicted height of the plant after 10 days?Mathematics
  16. 166.A financial analyst is modeling the growth of an investment. The value of the investment, V, in dollars, after t years, is given by V(t) = 5000(1.06)^t. What is the annual percentage growth rate of this investment?Mathematics
  17. 167.A quality control manager is inspecting a batch of 500 items. The number of defective items (d) found in the batch is modeled by the equation d = 0.02n + 5, where n is the number of items inspected. If the manager inspects all 500 items, what percentage of the inspected items are defective?Mathematics
  18. 168.A chemist is preparing a solution. She needs to dilute a 20% acid solution to a 5% acid solution. If she starts with 500 mL of the 20% solution, how much water (in mL) must she add to achieve the 5% solution?Mathematics
  19. 169.A satellite is orbiting Earth. Its orbital path can be modeled by a circle centered at the origin (0,0) on a coordinate plane. If the satellite passes through the point (3, -4), what is the equation of its orbital path?Mathematics
  20. 170.A baker is preparing a large batch of cookies. The recipe calls for 2.5 cups of flour for every 1.5 cups of sugar. If the baker uses 7.5 cups of flour, how many cups of sugar are needed?Mathematics
  21. 171.A civil engineer is calculating the volume of concrete needed for a cylindrical support column. The column has a radius of 0.5 meters and a height of 6 meters. What is the volume of the concrete needed, in cubic meters?Mathematics
  22. 172.A robotics engineer is programming a robot arm to move in a straight line. The arm starts at point A (2, 3) and moves to point B (6, 6). What is the length of the path the robot arm travels?Mathematics
  23. 173.A construction crew is pouring a concrete slab for a patio. The slab is rectangular, with a length of 12 feet and a width of 8 feet. If the concrete is poured to a uniform depth of 0.5 feet, what is the volume of concrete needed?Mathematics
  24. 174.A civil engineer is designing a new bridge. The maximum allowable stress (S) on a support cable is inversely proportional to the square of its length (L). If a 10-meter cable can withstand a stress of 200 MPa, what stress can a 20-meter cable withstand?Mathematics
  25. 175.A scientist is studying a chemical reaction where the concentration of a product, C(t), in moles per liter, after t minutes, is given by C(t) = 5 - 4e^(-0.1t). As time (t) approaches infinity, what value does the concentration C(t) approach?Mathematics
  26. 176.A scientist is tracking the population of a certain species of fish in a lake. The population, P(t), after t years, follows a logistic growth model given by P(t) = 1000 / (1 + 9e^(-0.2t)). What is the carrying capacity of the lake for this fish species?Mathematics
  27. 177.A scientist is conducting an experiment where the temperature (T) in degrees Celsius at a certain depth (d) in meters is given by the linear equation T = 15 - 0.2d. At what depth, in meters, will the temperature be 5 degrees Celsius?Mathematics
  28. 178.A chemist is analyzing a reaction where the concentration of a reactant, C, in moles per liter, changes over time t, in seconds, according to the equation C(t) = 0.8e^(-0.15t). What is the initial concentration of the reactant?Mathematics
  29. 179.A biologist is tracking the population of a certain species of fish in a lake. The population (P) after t years can be modeled by the logistic growth function P(t) = 1200 / (1 + 3e^(-0.5t)). What is the carrying capacity of the lake for this fish species?Mathematics
  30. 180.A quality control inspector is examining a batch of manufactured components. The weights of the components are normally distributed with a mean of 50 grams and a standard deviation of 2 grams. What percentage of components are expected to have a weight between 48 grams and 52 grams?Mathematics
  31. 181.A technician is calibrating a sensor that measures temperature. The sensor's reading (R) in ohms is linearly related to the actual temperature (T) in degrees Celsius. If the sensor reads 500 ohms at 0°C and 700 ohms at 100°C, what is the sensor reading at 25°C?Mathematics
  32. 182.A statistician is analyzing the relationship between two variables, x and y. She finds that the correlation coefficient (r) between x and y is -0.92. Which of the following statements best describes the relationship between x and y?Mathematics
  33. 183.A project manager is analyzing the budget for a new initiative. The cost (C) of the project, in thousands of dollars, is given by the function C(t) = 50 + 10t + 0.5t², where t is the time in months from the project's start. What is the average rate of change of the project cost during the first 4 months?Mathematics
  34. 184.A machine operator is setting up a new production line. The total cost, C(x), in dollars, to produce x units of a product is given by the function C(x) = 0.5x² + 20x + 500. If the machine produces 100 units, what is the total cost?Mathematics
  35. 185.A satellite is orbiting Earth. Its orbital path can be modeled by a circle centered at the origin (0,0). If the satellite passes through the point (3, 4), what is the equation of its orbital path?Mathematics
  36. 186.A quality control manager is inspecting a batch of 200 items. She finds that 15% of the items are defective. How many items in the batch are NOT defective?Mathematics
  37. 187.A meteorologist is tracking a weather balloon. The balloon's altitude (h) in meters above the ground, t minutes after launch, is given by the function h(t) = -t^2 + 16t + 20. What is the maximum altitude the weather balloon reaches?Mathematics
  38. 188.A student is outlining an argumentative essay and wants to introduce a counterargument before ultimately refuting it. Which transitional phrase would most effectively signal the introduction of this opposing viewpoint?English
  39. 189.A student is drafting an essay about the causes of the American Civil War. They want to ensure that all verbs consistently reflect past actions. They have written the following sentences: 'Tensions *grew* between the North and South. Economic differences *divide* the nation. Eventually, the conflict *erupts*.' Which revision corrects the verb tense inconsistency?English
  40. 190.A historian is analyzing a series of ancient texts and encounters a passage that discusses the 'divine right of kings.' The historian wants to introduce this concept into their essay while maintaining an academic and objective tone. Which of the following introductory phrases is most appropriate?English
  41. 191.A student is writing a persuasive essay arguing for stricter regulations on plastic waste. They want to use a rhetorical appeal that evokes strong emotions of concern and responsibility in the audience. Which rhetorical appeal are they primarily attempting to employ?English
  42. 192.A student is writing an email to their professor to request an extension on a research paper. They want to maintain a respectful and formal tone. Which of the following salutations is most appropriate for this email?English
  43. 193.A student is writing a research paper on renewable energy sources. They want to ensure their sentences vary in structure to keep the reader engaged. Which of the following sentence structures would best introduce a complex idea while adding variety to their writing?English
  44. 194.A student is editing a complex sentence to ensure it maintains parallel structure. The original sentence reads: 'The company's goals include increasing profits, to expand into new markets, and developing innovative products.' Which revision correctly applies parallel structure?English
  45. 195.A student is drafting an essay about the impact of social media on mental health. They want to introduce a point that adds to the previous statement. Which of the following transitional words or phrases would best achieve this?English
  46. 196.A statistician is analyzing the relationship between two variables, x and y. She finds that as x increases, y generally decreases, but the points are widely scattered around a downward-sloping line. Which of the following is the most likely value for the correlation coefficient (r) between x and y?Mathematics
  47. 197.A student is writing an argumentative essay about the benefits of community gardening. They want to introduce a piece of evidence from a scientific study to support their claim that gardening improves mental health. Where in the following sentence would be the most effective place to insert the evidence: 'Community gardening offers numerous benefits, _______________, fostering both social connection and personal well-being.'English
  48. 198.A quality control manager is inspecting a batch of 500 items. The number of defective items (d) found is modeled by the linear equation d = 0.08n + 5, where n is the number of items inspected. What percentage of the first 100 items inspected are expected to be defective?Mathematics
  49. 199.A research paper argues that 'the widespread adoption of remote work during the pandemic has irrevocably altered the traditional office paradigm.' To strengthen this argument, which of the following pieces of evidence would be most effective?Reading
  50. 200.A student is writing an essay about the challenges of space travel and wants to use a transition that acknowledges a contrasting viewpoint before presenting their own argument. They have written about the excitement of space travel, and now want to discuss its dangers. Which of the following transitional phrases is most effective for this purpose?English