HESI A2
HESI A2 Math 2024
1. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
- A. 3.6 cups
- B. 4 cups
- C. 4.6 cups
- D. 4.8 cups
Correct answer: B
Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.
2. A train travels at 80 mph for 3 hours. How far did it travel?
- A. 240 miles
- B. 160 miles
- C. 280 miles
- D. 320 miles
Correct answer: A
Rationale: To calculate the distance traveled, you multiply the speed of the train (80 mph) by the time it traveled (3 hours): 80 mph × 3 hours = 240 miles. Therefore, the correct answer is 240 miles. Choice B (160 miles) is incorrect because it results from multiplying the speed by the incorrect time. Choices C (280 miles) and D (320 miles) are incorrect as they represent calculations that do not match the given speed and time.
3. What is 60% of 150?
- A. 80
- B. 90
- C. 120
- D. 80
Correct answer: B
Rationale: To find 60% of 150, you multiply 0.6 by 150, which equals 90. Therefore, the correct answer is 90. Choice A (80) is incorrect because it does not represent 60% of 150. Choice C (120) is incorrect as it exceeds 100% of 150. Choice D (80) is a duplicate of choice A and does not accurately represent 60% of 150.
4. A set of integers can be classified as positive, negative, or zero. Which of the following statements about multiplying positive and negative integers is ALWAYS true?
- A. The product will always be positive.
- B. The product will always be negative.
- C. The product will depend on the specific positive and negative numbers used.
- D. Positive and negative integers cannot be multiplied.
Correct answer: B
Rationale: When multiplying a positive integer by a negative integer, the product will always be negative. This is a fundamental rule of arithmetic. The sign of the product is determined by the rule that states a positive number multiplied by a negative number results in a negative number. Therefore, the statement that the product will always be negative is always true when multiplying positive and negative integers. Choice A is incorrect because the product is not always positive when multiplying positive and negative integers. Choice C is incorrect because the product is not dependent on the specific numbers but on the signs of the integers being multiplied. Choice D is incorrect as positive and negative integers can be multiplied.
5. How many gallons are in 3 fluid ounces?
- A. 0.0234 gallons
- B. 0.5 gallons
- C. 0.38 gallons
- D. 0.12 gallons
Correct answer: A
Rationale: To convert fluid ounces to gallons, you need to divide the number of fluid ounces by 128 because there are 128 fluid ounces in 1 gallon. Therefore, 3 fluid ounces ÷ 128 equals approximately 0.0234 gallons. Choice A is correct. Choice B (0.5 gallons) is incorrect as it is equivalent to 64 fluid ounces, not 3. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect conversions of 3 fluid ounces to gallons.
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