TEAS Test Math Questions

Correct Answer: D

Rationale: The correct answer is D: (7, 8). To find the fourth vertex of the parallelogram, we can use the property that opposite sides of a parallelogram are parallel and equal in length. By calculating the vector between the points (1, 2) and (3, 4) as (2, 2), we can extend this vector from the point (5, 6) to find the fourth vertex at (5 + 2, 6 + 2) = (7, 8). Option A is incorrect as it does not satisfy the parallelogram property. Option B does not maintain the same distance between points. Option C does not form a parallelogram with the given points.

Correct Answer: C

Rationale: To find the mean, sum all values and divide by the total count. For this data set, sum = 16+18+17+15+19+14+12+11+10+16+18+17 = 183. Total count = 12. Mean = 183/12 = 15.25, which makes choice C, 16, the correct answer. Choice A, 14.25, and B, 15.25, are incorrect as they do not match the calculated mean. Choice D, 17, is incorrect as it is higher than the calculated mean value.

Correct Answer: B

Rationale: To find the sum of 4 + 5 + 12 + 9, we add each number sequentially: 4 + 5 = 9 9 + 12 = 21 21 + 9 = 30 Therefore, the correct answer is B: 30. Option A (20), C (40), and D (50) are incorrect as they do not accurately reflect the sum of the given numbers.

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: B

Rationale: To find the area that needs weeding, we first calculate the area of the entire circle using the formula A = πr^2. Substituting the radius (11.5 feet) into the formula gives A = 3.14 * 11.5^2 ≈ 415.49 sq ft. Since only half needs weeding, we divide this by 2 to get 207.74 sq ft, which rounds to 207.64 sq ft (Option B). Other choices are incorrect because they either don't consider halving the area or use incorrect calculations.