Step2Study

GED Mathematical Reasoning Test practice questions

200 free questions with answers and explanations.

Practice test
  1. 151.A gardener uses 2/3 of a bag of fertilizer for every 15 square feet of garden. If the gardener has a garden that is 60 square feet, how many bags of fertilizer will be needed?Quantitative Problem Solving with Rational Numbers
  2. 152.A financial analyst is modeling the profit (P) of a new product based on its selling price (s) in dollars. The profit is given by the equation P = -2s² + 60s - 350. At what selling price(s) will the company break even (i.e., profit is zero)?Algebraic Problem Solving with Expressions and Equations
  3. 153.A technician is setting up a new server. The total power consumption (P) in watts is modeled by the equation P = 150 + 25n, where 'n' is the number of hard drives installed. If the technician wants the total power consumption to be exactly 400 watts, how many hard drives can be installed?Algebraic Problem Solving with Expressions and Equations
  4. 154.A nutritionist is creating a meal plan. They want the total calories (C) from two types of food, Food A and Food B, to be exactly 1500. Food A has 250 calories per serving (x) and Food B has 150 calories per serving (y). Which equation represents this scenario?Algebraic Problem Solving with Expressions and Equations
  5. 155.A civil engineer is calculating the stress on a beam. The stress (S) in Pascals is given by the expression 3(x + 2)^2 - 5(x + 2) + 7, where x is a variable representing a load factor. Simplify this expression.Algebraic Problem Solving with Expressions and Equations
  6. 156.A financial analyst is modeling a company's monthly profit, P, based on the number of units, x, sold. The profit function is given by P(x) = -2x^2 + 80x - 300. What is the maximum profit the company can achieve?Algebraic Problem Solving with Expressions and Equations
  7. 157.A project manager is overseeing a construction site. The total number of hours, H, worked by a crew can be represented by the equation H = 8t + 12, where t is the number of days the crew has been working. If the crew has worked a total of 60 hours, how many days have they been working?Algebraic Problem Solving with Expressions and Equations
  8. 158.A technician is installing a new network. The total length of cable, L, in meters, required for the installation is given by the expression 3(x + 5) - 2x, where x represents the number of workstations. Which of the following expressions is equivalent to L?Algebraic Problem Solving with Expressions and Equations
  9. 159.A chemist is observing a chemical reaction where the concentration of a certain substance, C, in moles per liter, changes over time, t, in minutes, according to the function C(t) = 0.5e^(-0.1t). What is the concentration of the substance after 10 minutes?Algebraic Problem Solving with Expressions and Equations
  10. 160.A small business sells custom-made phone cases. The cost (C) to produce 'x' cases is given by C(x) = 15x + 300, and the revenue (R) from selling 'x' cases is given by R(x) = 35x. How many cases must the business sell to break even?Algebraic Problem Solving with Expressions and Equations
  11. 161.A civil engineer is calculating the sag in a suspension cable. The sag (S) in meters at a distance 'x' meters from the left support is approximated by the function S(x) = 0.005x^2 - 0.2x + 5. What is the minimum sag of the cable?Algebraic Problem Solving with Expressions and Equations
  12. 162.A scientist is studying a chemical reaction where the concentration of a reactant, C, in moles per liter, decreases over time 't' in minutes according to the function C(t) = 0.5e^(-0.1t). How long will it take for the concentration to reach 0.1 moles per liter?Algebraic Problem Solving with Expressions and Equations
  13. 163.A technician is monitoring the temperature of a chemical reaction. The temperature, T (in degrees Celsius), over time, t (in minutes), is given by the function T(t) = -t^2 + 10t + 20. At what time does the reaction reach its maximum temperature?Algebraic Problem Solving with Graphs and Functions
  14. 164.A botanist is tracking the growth of a special type of vine. The length of the vine, L, in centimeters, after 'd' days is modeled by the function L(d) = 2d^2 + 5d + 10. What is the length of the vine after 3 days?Algebraic Problem Solving with Expressions and Equations
  15. 165.A scientist is studying the relationship between the dosage of a new fertilizer (d, in grams) and the growth of a plant (G, in centimeters). The growth is modeled by the function G(d) = -0.1d^2 + 2d + 5. What is the optimal dosage (in grams) to achieve maximum growth?Algebraic Problem Solving with Expressions and Equations
  16. 166.A nutritionist is creating a diet plan that involves two types of protein bars. Bar A contains 15 grams of protein and Bar B contains 20 grams of protein. If a client wants to consume exactly 100 grams of protein by eating a total of 6 bars, how many of Bar A should they eat?Algebraic Problem Solving with Expressions and Equations
  17. 167.A production manager is scheduling tasks for two teams. Team A can complete a task in 4 hours, and Team B can complete the same task in 6 hours. If 'x' represents the fraction of the task Team A completes in one hour and 'y' represents the fraction of the task Team B completes in one hour, which system of equations can be used to determine their individual work rates?Algebraic Problem Solving with Expressions and Equations
  18. 168.A biologist is studying the population of a certain species of fish in a lake. The population can be modeled by the function P(t) = -2t^2 + 80t + 1200, where P(t) is the population after 't' years. What is the maximum population the lake can sustain according to this model?Algebraic Problem Solving with Expressions and Equations
  19. 169.A civil engineer is designing a ventilation system for a building. The airflow rate (R) in cubic feet per minute (cfm) through a duct is given by the expression 5(3x - 2) + 2(x + 7), where 'x' is a design parameter. Which of the following expressions is equivalent to the airflow rate R?Algebraic Problem Solving with Expressions and Equations
  20. 170.A meteorologist is tracking a weather balloon. The balloon's altitude, h(t), in meters, after t minutes, is given by the function h(t) = -t² + 10t + 20. What is the maximum altitude the weather balloon reaches?Algebraic Problem Solving with Graphs and Functions
  21. 171.A chemist is preparing a solution. She needs 3/5 of a liter of a chemical. She only has a measuring beaker that measures in milliliters. How many milliliters of the chemical does she need?Quantitative Problem Solving with Rational Numbers
  22. 172.A financial analyst is comparing two investment options. Investment A grows according to the function A(t) = 500(1.04)^t, and Investment B grows according to B(t) = 450(1.05)^t, where 't' is the number of years. Approximately how many years will it take for Investment B to be worth more than Investment A?Algebraic Problem Solving with Expressions and Equations
  23. 173.A scientist is tracking the growth of a plant. The height of the plant, h(t), in centimeters, after t weeks is modeled by the function h(t) = 0.5t^2 + 2t + 10. What is the height of the plant after 4 weeks?Algebraic Problem Solving with Graphs and Functions
  24. 174.A nutritionist is creating a meal plan. They want the total calories (C) from two types of food, Food A and Food B, to be exactly 1500. Food A has 200 calories per serving and Food B has 150 calories per serving. If 'a' represents the number of servings of Food A and 'b' represents the number of servings of Food B, which equation represents this situation?Algebraic Problem Solving with Expressions and Equations
  25. 175.A chemist is preparing a solution. They need to mix solution A, which is 15% acid, with solution B, which is 40% acid, to create 100 ml of a 25% acid solution. How many milliliters of solution A should the chemist use?Algebraic Problem Solving with Expressions and Equations
  26. 176.A recipe for muffins calls for 1 1/2 cups of flour. If a baker wants to make 2/3 of the recipe, how much flour should they use?Quantitative Problem Solving with Rational Numbers
  27. 177.A chemist is observing a reaction where the amount of reactant, R, in grams, remaining after 't' minutes is modeled by the equation R(t) = 100 * (0.8)^t. How many minutes will it take for the amount of reactant to be 64 grams?Algebraic Problem Solving with Expressions and Equations
  28. 178.A small business sells handmade jewelry. The cost C (in dollars) to produce 'x' pieces of jewelry is given by the function C(x) = 10x + 50. The revenue R (in dollars) from selling 'x' pieces of jewelry is given by R(x) = 25x. How many pieces of jewelry must the business sell to break even?Algebraic Problem Solving with Expressions and Equations
  29. 179.A scientist is observing the growth of a bacterial colony. The population, P, in thousands, can be modeled by the function P(t) = 50 * (1.1)^t, where t is the number of hours since the observation began. What does the value '1.1' represent in this function?Algebraic Problem Solving with Graphs and Functions
  30. 180.A production manager is scheduling tasks. Machine A can complete a batch of products in 'h' hours. Machine B takes 3 hours longer than Machine A to complete the same batch. If Machine A completes 2 batches and Machine B completes 1 batch, the total time taken is 17 hours. How long does it take Machine A to complete one batch?Algebraic Problem Solving with Expressions and Equations
  31. 181.A drone pilot is planning a flight path. The altitude, A, in meters, of the drone over time, t, in seconds, is modeled by the function A(t) = -t^2 + 10t + 20. The pilot needs to know when the drone will be at an altitude of 36 meters. Which equation should the pilot solve?Algebraic Problem Solving with Expressions and Equations
  32. 182.A scientist is observing the decay of a radioactive isotope. The amount of the isotope remaining, A(t), in grams, after t hours, is given by the function A(t) = 500(0.8)^t. What does the number 0.8 represent in this context?Algebraic Problem Solving with Graphs and Functions
  33. 183.A chemist is mixing two solutions. Solution A is 20% acid, and Solution B is 50% acid. The chemist wants to produce 15 liters of a mixture that is 30% acid. How many liters of Solution A are needed?Algebraic Problem Solving with Expressions and Equations
  34. 184.A technician is monitoring the voltage (V) across a circuit component, which can be modeled by the function V(t) = 3t^2 - 12t + 15, where 't' is time in seconds. What is the minimum voltage recorded by the technician?Algebraic Problem Solving with Expressions and Equations
  35. 185.A financial analyst is modeling the profit (P) of a company, which is described by the equation P = -2x^2 + 24x - 50, where 'x' is the number of units sold (in thousands). What is the maximum profit the company can achieve?Algebraic Problem Solving with Expressions and Equations
  36. 186.A biologist is studying a bacterial population that doubles every 3 hours. If the initial population is 100 bacteria, what is the population after 12 hours?Algebraic Problem Solving with Expressions and Equations
  37. 187.A meteorologist is tracking the temperature in a desert region. The temperature, T, in degrees Celsius, at different times of the day, t (in hours from midnight), is recorded as a set of points. Which of the following sets of points represents a function?Algebraic Problem Solving with Graphs and Functions
  38. 188.A carpenter is building a rectangular frame. The length of the frame is 5 feet more than its width. If the area of the frame is 84 square feet, which equation can be used to find the width (w) of the frame?Algebraic Problem Solving with Expressions and Equations
  39. 189.A drone pilot is planning a flight path. The altitude, A, in meters, of the drone over time 't', in minutes, is given by the function A(t) = -t^2 + 10t + 20. When will the drone reach an altitude of 45 meters?Algebraic Problem Solving with Expressions and Equations
  40. 190.A scientist is tracking the population of a certain type of bacteria in a petri dish. The population, P, after 't' hours, is given by the equation P = 200 * (1.5)^t. If the population reaches 675 bacteria, how many hours have passed?Algebraic Problem Solving with Expressions and Equations
  41. 191.A meteorologist is tracking the temperature in a city. The temperature (T) in degrees Celsius over a 24-hour period can be modeled by the function T(h) = -0.5h^2 + 12h - 50, where 'h' is the hour of the day (0 ≤ h ≤ 24). At what hour of the day does the maximum temperature occur?Algebraic Problem Solving with Expressions and Equations
  42. 192.A scientist is observing the growth of a bacterial colony. The number of bacteria (N) after 't' hours can be modeled by N(t) = 50 * 2^(t/3). How many hours will it take for the number of bacteria to reach 800?Algebraic Problem Solving with Expressions and Equations
  43. 193.A biologist is studying the growth of a plant. She records the plant's height in centimeters (h) over time in weeks (t). The relationship is modeled by the equation h(t) = 3t + 5. What does the number 3 represent in this equation?Algebraic Problem Solving with Graphs and Functions
  44. 194.A client is managing their financial portfolio. The value of their investment, V(t), in thousands of dollars, after t years, is given by the function V(t) = 20(1.05)^t. What does the number 1.05 represent in this context?Algebraic Problem Solving with Graphs and Functions
  45. 195.A meteorologist is tracking the temperature (T) in degrees Celsius over a 24-hour period, modeled by the function T(h) = -0.05h^2 + 1.2h + 5, where 'h' is the hour of the day (0 ≤ h ≤ 24). At what hour of the day does the maximum temperature occur?Algebraic Problem Solving with Expressions and Equations
  46. 196.A production manager is analyzing the relationship between the number of units produced, x, and the total production cost, C(x). The manager models this relationship with the linear equation C(x) = 15x + 500. What does the number 15 represent in this equation?Algebraic Problem Solving with Graphs and Functions
  47. 197.A biologist is studying the growth of a plant. She records the plant's height in centimeters over several weeks. At week 2, the plant was 10 cm tall. At week 6, the plant was 22 cm tall. Assuming the growth is linear, what was the average rate of growth of the plant in centimeters per week?Algebraic Problem Solving with Graphs and Functions
  48. 198.A scientist is observing the growth of a bacterial colony. The number of bacteria (N) after 't' hours is given by the function N(t) = 500 * (1.08)^t. How many bacteria will there be after 5 hours?Algebraic Problem Solving with Expressions and Equations
  49. 199.A civil engineer is designing a parabolic arch for a pedestrian bridge. The height of the arch, h, in meters, above the ground at a horizontal distance, x, in meters, from the center of the arch is given by the equation h(x) = -0.1x^2 + 10. For what range of x-values is the height of the arch at least 5 meters?Algebraic Problem Solving with Expressions and Equations
  50. 200.A production manager is analyzing the cost of manufacturing a new product. The cost, C, in dollars, is a function of the number of units produced, x, and is given by the equation C(x) = 5x + 150. What is the practical domain of this function if the company can produce a minimum of 0 units and a maximum of 100 units?Algebraic Problem Solving with Graphs and Functions