ATI TEAS 7
TEAS Math Questions
1. Veronica is making a holiday schedule. 35% of staff members will be on vacation, and 20% of the remainder are certified to work. What percentage of the staff is certified and available?
- A. 0.07
- B. 0.13
- C. 0.65
- D. 0.8
Correct answer: A
Rationale: To find the percentage of staff certified and available, we first calculate the percentage of staff members not on vacation, which is 100% - 35% = 65%. Then, 20% of this group is certified to work, which is 20% of 65% = 0.20 * 65% = 13%. Therefore, Veronica has 13% of the staff certified and available to work. The correct answer is 0.13 (or 13%). Choice C (0.65) is incorrect because it represents the percentage of staff members not on vacation, not the percentage that is certified and available. Choice D (0.8) is incorrect as it is not the correct percentage of staff members certified and available. Choice B (0.13) is the correct answer, not choice A (0.07), as 0.07 represents 7%, not 13%.
2. How many cubic inches of water could the aquarium hold if it were filled completely? (Dimensions: 30 in × 10 in × 12 in)
- A. 3600 cubic inches
- B. 52 cubic inches
- C. 312 cubic inches
- D. 1144 cubic inches
Correct answer: A
Rationale: To find the volume of the aquarium, we multiply its length, width, and height. The formula for the volume of a rectangular solid is V = l × w × h. Substituting the given dimensions, we get V = 30 × 10 × 12 = 3600 cubic inches. Therefore, the aquarium can hold 3600 cubic inches of water. Choice B (52 cubic inches), Choice C (312 cubic inches), and Choice D (1144 cubic inches) are incorrect as they do not correctly calculate the volume of the aquarium based on its dimensions.
3. As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?
- A. Amount of tuition
- B. Number of credit hours
- C. Amount of access fees
- D. Number of student loans
Correct answer: B
Rationale: The correct answer is the number of credit hours. In this scenario, the number of credit hours is the independent variable because it is the factor that is intentionally changed or manipulated. The amount of tuition, access fees, and student loans are dependent variables as they are influenced by the number of credit hours a student takes. The number of credit hours drives the changes in the other factors, making it the independent variable.
4. Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for π.
- A. 207.64
- B. 415.27
- C. 519.08
- D. 726.73
Correct answer: B
Rationale: The area of a circle is given by the formula A = π × r², where r is the radius. Since only half of the garden needs weeding, we calculate half the area. Using the given value of π (3.14) and a radius of 11.5 feet: A = 0.5 × 3.14 × (11.5)² A = 0.5 × 3.14 × 132.25 A = 0.5 × 415.27 A = 207.64 square feet. Thus, the area that needs weeding is approximately 207.64 square feet, making option B the correct answer. Choice A (207.64) is incorrect as it represents the total area of the circular garden, not just half of it. Choice C (519.08) and Choice D (726.73) are also incorrect as they do not reflect the correct calculation for finding the area of half the circular garden.
5. A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi?
- A. 11.25 πin²
- B. 29.57 πin²
- C. 18.35 πin²
- D. 20.25 πin²
Correct answer: D
Rationale: To find the area of a circle, we use the formula A = πr², where r is the radius of the circle. In this case, the diameter is 9 inches, so the radius is half of the diameter, which is 4.5 inches. Substituting the radius into the formula, we get A = π(4.5)² = 20.25 πin². Therefore, the correct answer is 20.25 πin². Choices A, B, and C are incorrect because they do not correctly calculate the area using the radius of the circle.
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