HESI A2
HESI A2 Math 2024
1. Convert this military time to regular time: 1310 hours.
- A. 1:10 A.M.
- B. 1:10 P.M.
- C. 1:31 A.M.
- D. 1:31 P.M.
Correct answer: D
Rationale: In military time, 1310 hours is equivalent to 1:10 P.M. However, in regular time, the conversion should have a colon between the hour and minutes, so the correct conversion is 1:31 P.M. Choice A (1:10 A.M.) and Choice C (1:31 A.M.) are incorrect as they both represent A.M. hours, while 1310 hours is in the afternoon (P.M.). Choice B (1:10 P.M.) is incorrect as it represents the hour correctly but lacks the accurate minutes representation.
2. A marathon runner completes 21.6 miles and burns 2,274 calories. What is the rate of calories burned per mile?
- A. 105.28
- B. 105.37
- C. 105.45
- D. 105.55
Correct answer: A
Rationale: To find the rate of calories burned per mile, you divide the total calories burned by the total miles run: 2274 calories / 21.6 miles = 105.28 calories per mile. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not match the calculated value. The rate of calories burned per mile is a precise calculation based on the given values, and only choice A aligns with the correct calculation.
3. If Kevin can wash 30 cars in 15 minutes, how many minutes will it take him to wash 100 cars?
- A. 50 minutes
- B. 55 minutes
- C. 30 minutes
- D. 45 minutes
Correct answer: A
Rationale: To find out how many minutes Kevin will take to wash 100 cars, set up a proportion: 30 cars is to 15 minutes as 100 cars is to x minutes. Cross multiplying gives 30x = 1500. Solving for x, x = 1500 / 30 = 50. Therefore, it will take Kevin 50 minutes to wash 100 cars. Choice A is correct. Choice B, C, and D are incorrect as they do not correctly calculate the time needed based on the given information.
4. A farmer wants to plant trees at the outside boundaries of his rectangular field with dimensions 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How much free area will be left?
- A. 478,800 m²
- B. 492,800 m²
- C. 507,625 m²
- D. 518,256 m²
Correct answer: A
Rationale: To calculate the area taken by the trees, we need to account for the space each tree requires. Each tree needs 5 meters of free space all around it, totaling 10 meters added to each dimension. Therefore, the new dimensions of the field are (650-10) meters by (780-10) meters. Calculating the area of the new field: (640m × 770m = 492,800m²). To find the free area remaining, subtract the new field's area from the original field's area: 507,000m² - 492,800m² = 14,200m². Therefore, the free area left after planting the trees is 14,200m². Choice A is the correct answer as it represents the free area left after planting the trees.
5. What is the probability of rolling a 3 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct answer: A
Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.
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