TEAS Test Math Questions

Correct Answer: C

Rationale: The correct answer is C because in multiplication and division, the product of the quotient and the divisor is indeed the dividend. To understand this, consider a division problem like 12 ÷ 3 = 4. Here, 4 (quotient) multiplied by 3 (divisor) equals 12 (dividend). Therefore, the product of the quotient and the divisor equals the dividend. Choice A is incorrect as it doesn't align with the relationship between quotient, dividend, and divisor in division. Choice B is incorrect as it reverses the relationship between dividend and divisor in multiplication. Choice D is incorrect as there is a correct statement among the choices.

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.

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: 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: D

Rationale: To find the area of a square, you square the length of one side. In this case, the side length is 75 cm. Therefore, the area is 75 cm x 75 cm = 5,625 square cm. Option D is correct. Option A (150) is too small as it represents the perimeter of the square. Option B (300) is incorrect as it is half the correct area. Option C (5,325) is incorrect as it is much larger than the correct area.