HESI A2 Math

Correct Answer: B

Rationale: To find how many vacuum cleaners Randy sells per month, we first calculate the total annual sales for Janice: 690 vacuum cleaners per year. Since Randy sells 8 times as many, he sells 690 * 8 = 5,520 vacuum cleaners per year. To find monthly sales for Randy, we divide this by 12 (months in a year): 5,520 / 12 = 460 vacuum cleaners per month. Therefore, the correct answer is B: 5,520. Choice A (4,600) is incorrect because it does not account for Randy selling 8 times as many as Janice. Choice C (6,400) and choice D (8,320) are incorrect as they are not the result of the correct calculation based on the information provided in the question.

Correct Answer: A

Rationale: To make half of the recipe, you need to divide the original amount of sugar by 2. 2 cups of sugar divided by 2 equals 1 cup. Therefore, the correct answer is A: 1 cup. Choice B (1.5 cups) is incorrect because it is not half of 2 cups. Choice C (2 cups) is the original amount and not for making half the recipe. Choice D (0.5 cups) is also incorrect as it is not the correct amount for half of the original recipe.

Correct Answer: C

Rationale: To find the GCF of 12 and 18, list the factors of each: 12: 1, 2, 3, 4, 6, 12; 18: 1, 2, 3, 6, 9, 18. The common factors are 1, 2, 3, and 6. The greatest common factor is the largest number that both 12 and 18 can be divided by without remainder, which is 6. Choice A (2) and B (3) are factors, but not the greatest common factor. Choice D (9) is a factor of 18 but not 12, so it cannot be the GCF.

Correct Answer: C

Rationale: To find the perimeter of a square, we add up all four sides. Since the garden bed has a side length of 8 meters, each side is 8m. Therefore, the perimeter = 8m + 8m + 8m + 8m = 32m (Choice C). Choices A, B, and D are incorrect because they do not correctly calculate the total length of all four sides of the square.

Correct Answer: D

Rationale: To divide mixed numbers, convert them to improper fractions, then multiply by the reciprocal of the divisor. 4 7/8 = 39/8 1 1/6 = 7/6 (39/8) ÷ (7/6) = (39/8) * (6/7) = 234/56 = 4 5/28 Therefore, the correct answer is D: 4 & 5/28. Choice A is incorrect as it doesn't represent the correct division result. Choices B and C are also incorrect because they do not match the calculated result of 4 5/28.