HESI A2 Math

Questions 45

HESI A2

HESI A2 Test Bank

HESI A2 Math Questions

Question 1 of 5

If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month?

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.

Question 2 of 5

A baker can bake 4 cakes with 10 cups of sugar. If he has a 30-cup bag that is half full, how many cakes can he bake?

Correct Answer: A

Rationale: To determine the number of cakes he can bake, first, find how many cakes can be baked per cup of sugar (4 cakes/10 cups = 0.4 cakes/cup). Since the bag is half full, he has 15 cups of sugar (30 cups/2). So, he can bake 6 cakes (0.4 cakes/cup * 15 cups = 6 cakes). Therefore, the correct answer is A: 6 cakes. The other choices are incorrect because they do not align with the calculations based on the given information.

Question 3 of 5

A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

Question 4 of 5

Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?

Correct Answer: C

Rationale: To produce 6 eggs, 2 chickens are needed in 24 hours. So, each chicken produces 3 eggs in 24 hours. To produce 24 eggs in 24 hours, you would need 8 chickens (24 eggs / 3 eggs per chicken = 8 chickens). Therefore, choice C (8) is the correct answer. Other choices are incorrect because they do not consider the ratio of chickens to eggs required accurately. Choice A (48) is too high, choice B (18) is based on an incorrect calculation, and choice D (6) is too low based on the given information.

Question 5 of 5

Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

Correct Answer: A

Rationale: To find the new width, we need to use the concept of proportionality. Since the height is increasing from 15 inches to 4 feet (48 inches), we set up the proportion: 15/width = 48/new width. Solving for the new width, we get width = (15 * new width) / 48. Given the new height is 4 feet, we substitute 48 for the new height: width = (15 * new width) / 48 = (15 * new width) / 48 = 4.2 feet. Therefore, the correct answer is A: 2.1 feet. Choices B, C, and D are incorrect as they do not align with the proportionality calculation.

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