ATI TEAS 7
TEAS Test Math Prep
1. A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?
- A. 3:20
- B. 4:17
- C. 3:02
- D. 7:40
Correct answer: B
Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17. Therefore, the correct ratio is 4:17. Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.
2. Two boxes are stacked, one measuring 4 inches tall and the other 6 inches tall. What is the total height of the stacked boxes?
- A. 10 inches
- B. 12 inches
- C. 8 inches
- D. 9 inches
Correct answer: A
Rationale: To find the total height of the stacked boxes, you need to add the height of each box together. Therefore, 4 inches (height of the first box) + 6 inches (height of the second box) = 10 inches, which is the total height of the stacked boxes. Choice B (12 inches) is incorrect because it adds the heights incorrectly. Choice C (8 inches) is incorrect as it does not consider both box heights. Choice D (9 inches) is incorrect as it also does not add the heights accurately.
3. The value of 6 x 12 is the same as:
- A. 2 x 4 x 4 x 2
- B. 7 x 4 x 3
- C. 6 x 6 x 3
- D. 3 x 3 x 4 x 2
Correct answer: A
Rationale: To find the value of 6 x 12, we multiply 6 by 12, which equals 72. A: 2 x 4 x 4 x 2 = 32 B: 7 x 4 x 3 = 84 C: 6 x 6 x 3 = 108 D: 3 x 3 x 4 x 2 = 72 Therefore, the correct answer is A, as the product of 2 x 4 x 4 x 2 equals 32, which is the same as 6 x 12.
4. What is 4 + 5 + 12 + 9?
- A. 20
- B. 30
- C. 40
- D. 50
Correct answer: B
Rationale: The correct answer is B: 30. To find the sum, you need to add 4 + 5 + 12 + 9, which equals 30. Choice A (20) is incorrect because it does not account for the correct addition of the numbers provided. Choice C (40) is incorrect as it represents the sum of the numbers incorrectly. Choice D (50) is also incorrect as it is not the sum of the given numbers.
5. What defines a proper fraction versus an improper fraction?
- A. Proper: numerator < denominator; Improper: numerator > denominator
- B. Proper: numerator > denominator; Improper: numerator < denominator
- C. Proper: numerator = denominator; Improper: numerator < denominator
- D. Proper: numerator < denominator; Improper: numerator = denominator
Correct answer: A
Rationale: A proper fraction is characterized by having a numerator smaller than the denominator, while an improper fraction has a numerator larger than the denominator. Therefore, choice A is correct. Choice B is incorrect because it states the opposite relationship between the numerator and denominator for proper and improper fractions. Choice C is incorrect as it describes a fraction where the numerator is equal to the denominator, which is a different concept. Choice D is incorrect as it associates a numerator being smaller than the denominator with an improper fraction, which is inaccurate.
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