ATI TEAS 7
TEAS Test Practice Math
1. Which of the following statements is true?
- A. The mean is less than the median
- B. The mode is greater than the median
- C. The mode is less than the mean, median, and range
- D. The mode is equal to the range
Correct answer: A
Rationale: The mean is the average of a set of numbers, while the median is the middle value when the numbers are arranged in order. If a set of numbers is skewed to one side with some outliers, the mean can be influenced by these extreme values, causing it to be greater or less than the median. In cases of skewed distribution, the mean typically shifts towards the direction of the outliers, making it less than the median. Choice B is incorrect because the mode, which is the most frequent number in a dataset, may or may not be greater than the median. Choice C is incorrect because the mode can be greater than the mean or median, depending on the data. Choice D is incorrect because the mode, representing the most frequent value, has no direct relationship with the range, which is the difference between the highest and lowest values in a dataset.
2. Which of the following correctly describes a strong acid?
- A. A strong acid completely ionizes in water.
- B. A strong acid donates more than one proton.
- C. A strong acid contains at least one metal atom.
- D. A strong acid will not decompose.
Correct answer: A
Rationale: The correct answer is A. A strong acid is defined as an acid that completely ionizes in water, meaning it dissociates fully into its constituent ions in solution. This characteristic differentiates strong acids from weak acids, which do not fully dissociate in water. Choice B is incorrect because the number of protons donated does not solely define the strength of an acid. Choice C is incorrect as strong acids are not defined by the presence of metal atoms, and Choice D is incorrect because all acids can decompose, but the strength of the acid is based on its ability to ionize in water.
3. Robert secures three new clients every eight months. After how many months has he secured 24 new clients?
- A. 64
- B. 58
- C. 52
- D. 66
Correct answer: C
Rationale: To determine the number of months it takes for Robert to secure 24 new clients, we set up a proportion: 3 clients / 8 months = 24 clients / x months. Cross multiplying gives 3x = 8 * 24. Solving for x results in x = 64 / 3 = 52. Therefore, after 52 months, Robert has secured 24 new clients. Choice A (64) is incorrect as it miscalculates the solution. Choices B (58) and D (66) are also incorrect as they do not reflect the accurate calculation based on the given information.
4. Which of the following is a unit of power?
- A. Newton-meter (N·m)
- B. Joule (J)
- C. Watt (W)
- D. Kilogram (kg)
Correct answer: C
Rationale: The correct answer is C: Watt (W). Power is the rate at which work is done or energy is transferred. The unit of power is the watt (W), named after James Watt, the inventor of the steam engine. A Newton-meter (N·m) is a unit of torque, Joule (J) is a unit of energy, and Kilogram (kg) is a unit of mass, not power. Therefore, choices A, B, and D are incorrect as they represent units of torque, energy, and mass, respectively, and not power.
5. What is the maximum volume of air that can be expelled from the lungs after maximum inhalation?
- A. Tidal volume
- B. Total lung capacity
- C. Ventilation rate
- D. Vital capacity
Correct answer: D
Rationale: The correct answer is D, Vital capacity. Vital capacity represents the maximum volume of air that can be expelled from the lungs after a maximum inhalation. Tidal volume (Choice A) is the volume of air inspired or expired during normal breathing at rest and is not the maximum capacity. Total lung capacity (Choice B) refers to the maximum volume of air the lungs can accommodate including the residual volume, not just the expelled air. Ventilation rate (Choice C) is the rate at which air is moved in and out of the lungs, not the maximum volume of air that can be expelled.
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