TEAS Test Math Questions

Correct Answer: A

Rationale: To find the product of 2/3 and 3/4, multiply the numerators (2 * 3 = 6) to get the new numerator and multiply the denominators (3 * 4 = 12) to get the new denominator. Therefore, the product is 6/12 which simplifies to 1/2. Choice A (1) is correct because 1 is the simplified form of the product. Choices B, C, and D are incorrect as they do not reflect the correct multiplication of fractions.

Correct Answer: A

Rationale: To find how many feet of wood remain, subtract the length cut off from the original length. 7 1/2 - 3 1/4 = 4 1/4. Therefore, the correct answer is A: 4 1/4 feet. Choice B, 4 1/2 feet, is incorrect as it does not match the subtraction result. Choice C, 3 1/2 feet, is incorrect as it does not account for the fraction left after subtracting. Choice D, 3 3/4 feet, is incorrect as it overestimates the amount left after the cut.

Correct Answer: C

Rationale: To determine the smallest decimal, compare the digits from left to right. In choice C (2.002), the first non-zero digit is in the thousandths place, making it smaller than choices A, B, and D. Choice A (2.22) has the first non-zero digit in the tenths place, making it larger than choice C. Choice B (2.02) has a smaller tenths place digit than choice A but a larger hundredths place digit, still making it larger than choice C. Choice D (2.2) has the first non-zero digit in the tenths place, which is larger than choice C. Therefore, the correct answer is C (2.002) as it has the smallest value among the given options.

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.

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.