ATI TEAS 7
TEAS Test Math Prep
1. Calculate the sum of the numbers from 1 to 6:
- A. 30
- B. 21
- C. 15
- D. 13
Correct answer: B
Rationale: To find the sum of numbers from 1 to 6, we add them together: 1 + 2 + 3 + 4 + 5 + 6 = 21. Therefore, the correct answer is 21. Choice A (30) is incorrect because it is not the sum of the numbers 1 to 6. Choice C (15) is incorrect as it is the sum of numbers 1 to 5. Choice D (13) is incorrect as it is the sum of numbers 1 to 4, not 1 to 6.
2. In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?
- A. Independent
- B. Control
- C. Dependent
- D. Constant
Correct answer: C
Rationale: The baby's measured weight is the dependent variable as it depends on the time intervals.
3. A triangle has dimensions of 9 cm, 4 cm, and 7 cm. The triangle is reduced by a scale factor of x. Which of the following represents the dimensions of the dilated triangle?
- A. 8.25 cm, 3.25 cm, 6.25 cm
- B. 4.5 cm, 2 cm, 3.5 cm
- C. 6.75 cm, 3 cm, 5.25 cm
- D. 4.95 cm, 2.2 cm, 3.85 cm
Correct answer: C
Rationale: When reducing a figure by a scale factor, each dimension is multiplied by the same scale factor. In this case, the scale factor is not provided in the question. To find the scale factor, you would divide the new lengths of the sides by the original lengths. The scaled-down triangle's dimensions are the original dimensions multiplied by the scale factor. By performing the calculations, the dimensions of the dilated triangle are 6.75 cm, 3 cm, and 5.25 cm, which matches choice C. Choices A, B, and D have incorrect dimensions as they do not result from the correct application of the scale factor to the original triangle's dimensions.
4. Five of six numbers have a sum of 25. The average of all six numbers is 6. What is the sixth number?
- A. 8
- B. 10
- C. 11
- D. 12
Correct answer: C
Rationale: To find the sum of all six numbers, we multiply the average (6) by the total numbers (6), which equals 36. Since the sum of five numbers is 25, the sixth number can be found by subtracting the sum of five numbers from the total sum: 36 - 25 = 11. Therefore, the sixth number is 11. Choice A, 8, is incorrect because adding 8 to the sum of five numbers (25) would result in a total greater than the correct sum of all six numbers (36). Choice B, 10, is incorrect because adding 10 to the sum of five numbers (25) would also result in a total greater than the correct sum of all six numbers (36). Choice D, 12, is incorrect because adding 12 to the sum of five numbers (25) would exceed the correct sum of all six numbers (36).
5. Simplify the following expression: (2/7) ÷ (5/6)
- A. 2/5
- B. 35/15
- C. 5/21
- D. 12/35
Correct answer: D
Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, (2/7) ÷ (5/6) becomes (2/7) × (6/5) = 12/35. Therefore, the correct answer is 12/35. Choice A (2/5), choice B (35/15), and choice C (5/21) are incorrect because they do not correctly simplify the given expression.
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