TEAS Test Math Questions

Correct Answer: B

Rationale: To find the area that needs weeding, we first need to calculate the total area of the circular garden using the formula A = πr^2. Given the radius is 11.5 feet, the total area is A = 3.14 x (11.5)^2 = 415.27 square feet. Since only half needs weeding, we divide this total area by 2 to get the area that needs weeding: 415.27 / 2 = 207.64 square feet. Therefore, the correct answer is B: 415.27, as it represents the total area of the garden, and the other choices are incorrect as they do not correctly calculate the area that needs weeding.

Correct Answer: A

Rationale: The perimeter of a square is calculated by adding up all four sides. Since all sides of a square are equal, the perimeter is 4 times the length of one side. In this case, the side length is 6 cm, so the perimeter would be 4*6 = 24 cm. Therefore, choice A (24 cm) is correct. Choices B, C, and D are incorrect because they do not correctly calculate the perimeter of a square with a side length of 6 cm. Choice B (12 cm) is half the correct answer, choice C (18 cm) is three-quarters of the correct answer, and choice D (36 cm) is double the correct answer.

Correct Answer: B

Rationale: To solve the system of equations, we can use either substitution or elimination method. By substituting y = -2x into the second equation, we get x - 2(-2x) = 8, which simplifies to 5x = 8, leading to x = 8/5. Substituting x back into the first equation, we find y = -16/5. Therefore, the correct solution is (1.6, -3.2). Option B (1.8, -3.6) and (-1.8, 3.6) is incorrect as it does not match the calculated solution. Options A, C, and D are also incorrect as they do not correspond to the solutions obtained through the correct calculations.

Correct Answer: D

Rationale: To find the rate of change in height per month, we multiply the daily growth rate by the number of days in a month. 4.2 inches/day * 30 days = 126 inches/month. Therefore, the correct answer is D. Choice A is incorrect as it is the daily growth rate, not the monthly rate. Choice B is incorrect as it is the same as the daily growth rate, not the monthly rate. Choice C is incorrect as it is not the result of the correct calculation.

Correct Answer: C

Rationale: The mode is the value that appears most frequently in a data set. In this case, the number 4 appears three times, which is more frequent than any other number in the set. Therefore, the mode of the data set is 4 (Choice C). The other choices (A: 2, B: 3, D: 5) are incorrect because they do not appear as frequently as 4 in the given data set.