HESI A2
HESI A2 Math Portion
1. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?
- A. 1/4
- B. 1/3
- C. 1/2
- D. 2/3
Correct answer: B
Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.
2. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?
- A. 12.8
- B. 23
- C. 25.6
- D. 57.5
Correct answer: C
Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.
3. Convert 5 3/4 to a decimal. Round it to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 6
- D. 5.8
Correct answer: D
Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Choice A, 5.75, is the exact conversion before rounding, so it is incorrect. Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding. Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation. Therefore, the correct answer is 5.8.
4. A farmer buys 3 bags of feed weighing 50 kilograms each. How much feed does he have in total?
- A. 100 kilograms
- B. 150 kilograms
- C. 200 kilograms
- D. 250 kilograms
Correct answer: B
Rationale: The correct answer is B: 150 kilograms. To find the total amount of feed, you need to multiply the number of bags by the weight of each bag. In this case, 3 bags * 50 kilograms each = 150 kilograms. Therefore, the farmer has a total of 150 kilograms of feed. Choice A (100 kilograms) is incorrect because it doesn't consider the total weight of all 3 bags. Choice C (200 kilograms) and Choice D (250 kilograms) are incorrect as they are miscalculations of the total weight of the feed.
5. How many ounces are in 2.5 gallons?
- A. 240 ounces
- B. 160 ounces
- C. 320 ounces
- D. 240 ounces
Correct answer: C
Rationale: To convert gallons to ounces, we need to know that 1 gallon is equal to 128 ounces. Therefore, 2.5 gallons would be 2.5 x 128 = 320 ounces. This makes choice C, '320 ounces,' the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from gallons to ounces.
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