ATI TEAS 7
TEAS Math Questions
1. If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?
- A. 1,050 people
- B. 1,200 people
- C. 1,100 people
- D. 1,300 people
Correct answer: A
Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.
2. Arrange the following fractions from least to greatest: 2/3, 1/2, 5/8, 7/9.
- A. 7/9, 5/8, 2/3, 1/2
- B. 1/2, 2/3, 5/8, 7/9
- C. 1/2, 5/8, 2/3, 7/9
- D. 7/9, 2/3, 5/8, 1/2
Correct answer: C
Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.
3. Which percentage is greatest?
- A. The percentage of Asian Americans among the staff at Hospital X
- B. The percentage of staff members who have been on staff for 10-15 years at Hospital X
- C. The percentage of Doctors among the staff at Hospital X and Hospital Y
- D. The percentage of staff with 1-4 complaints among the staff at Hospital Y
Correct answer: C
Rationale: To determine the highest percentage, we need to calculate each option. The percentage in answer A is: 50 / 250 x 100 = 20%. The percentage in answer B is: 57 / 250 x 100 = 22.8%. The percentage in answer C is: (74 + 55) / 433 x 100 = 29.8%. The percentage in answer D is: 21 / 183 x 100 = 11.5%. Therefore, the correct answer is C, as it has the highest percentage of doctors among the staff at both hospitals. Choices A, B, and D are incorrect as they have lower percentages compared to choice C.
4. Order the groups from largest to smallest, according to the number of doctors in each group.
- A. Group X, Group Y, Group Z
- B. Group Z, Group Y, Group X
- C. Group Z, Group X, Group Y
- D. Group Y, Group X, Group Z
Correct answer: B
Rationale: The correct order from largest to smallest number of doctors in each group is Group Z (20 doctors), Group Y (15 doctors), and Group X (10 doctors). Therefore, the correct order is Group Z, Group Y, and Group X, which matches option B. Option B is correct because it correctly reflects the descending order of the number of doctors in each group. Options A, C, and D are incorrect as they do not follow the correct order of the number of doctors in each group.
5. Which of the following statements demonstrates a negative correlation between two variables?
- A. People who play baseball more tend to have more hits
- B. Shorter people tend to weigh less than taller people
- C. Tennis balls that are older tend to have less bounce
- D. Cars that are older tend to have higher mileage
Correct answer: C
Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.
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