ATI TEAS 7
Practice Math TEAS TEST
1. 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.
2. Based on the information in the table showing healthcare spending per capita in a group of African nations, which country experienced the largest increase in dollars spent per capita from 2013 to 2015?
- A. Eritrea
- B. Sudan
- C. Tanzania
- D. Kenya
Correct answer: A
Rationale: Eritrea had the largest increase in healthcare spending per capita from 2013 to 2015. By comparing the data in the table, it is evident that Eritrea had the greatest change in dollars spent per capita during the specified period. Sudan, Tanzania, and Kenya did not experience as significant an increase in healthcare spending per capita as Eritrea did, making them incorrect choices.
3. Bernard can make $80 per day. If he needs to make $300 and only works full days, how many days will this take?
- A. 2
- B. 3
- C. 4
- D. 5
Correct answer: C
Rationale: To find out how many days Bernard needs to work to make $300, we divide the total amount he needs by how much he makes per day: $300 / $80 = 3.75 days. Since Bernard can only work full days, he would need to work for 4 days to make $300. Therefore, the correct answer is 4 days. Choice A (2 days) is incorrect because it does not match the calculation based on his daily earnings. Choice B (3 days) is incorrect as the calculated result is not a whole number, so Bernard needs to work for more than 3 days. Choice D (5 days) is incorrect as it exceeds the calculated number of days needed to make $300.
4. Which of the following is the correct simplification of the expression below? 12 ÷ 3 × 4 - 1 + 23
- A. 6
- B. 21
- C. 38
- D. 23
Correct answer: C
Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 ÷ 3) × 4 - 1 + 23 = 4 × 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.
5. A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hours by herself and person B is able to mow the lawn in 3 hours by himself, what is the amount of time it would take for both person A and B to mow the lawn together?
- A. 5 hours
- B. 2.5 hours
- C. 1.2 hours
- D. 1 hour
Correct answer: C
Rationale: To find the combined work rate, you add the individual work rates: 1/2 + 1/3 = 5/6. This means that together, they can mow 5/6 of the lawn per hour. To determine how long it would take for both A and B to mow the entire lawn, you take the reciprocal of 5/6, which gives you 6/5 or 1.2 hours. Therefore, it would take 1.2 hours for person A and person B to mow the lawn together. Choice A (5 hours) is incorrect because it does not consider the combined efficiency of both workers. Choice B (2.5 hours) is incorrect as it does not reflect the correct calculation based on the combined work rates of the two individuals. Choice D (1 hour) is incorrect as it doesn't consider the fact that the combined rate is less than the individual rate of person A alone, thus taking longer than 1 hour.
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