HESI A2
HESI A2 Math Practice
1. If a dice is rolled, what is the probability of getting an even number?
- A. 16%
- B. 33%
- C. 66%
- D. 50%
Correct answer: D
Rationale: When rolling a standard six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an even number can be calculated as the number of favorable outcomes (3) divided by the total number of outcomes (6), which equals 3/6 = 50%. Therefore, the correct answer is D. Choice A (16%) is incorrect because it does not represent the probability of rolling an even number. Choice B (33%) is incorrect as it does not reflect the correct probability. Choice C (66%) is incorrect as well since it overestimates the probability.
2. 30 1/2 - 13 3/4 = ?
- A. 16 3/4
- B. 17
- C. 15 1/4
- D. 15
Correct answer: A
Rationale: To solve the expression 30 1/2 - 13 3/4, first convert the mixed numbers to improper fractions. 30 1/2 is equivalent to 61/2 and 13 3/4 is equivalent to 55/4. Subtracting 55/4 from 61/2 gives 16 3/4, which is the correct answer. Choice B (17) is incorrect as the correct answer is a mixed number, not a whole number. Choice C (15 1/4) is incorrect as it doesn't result from subtracting the given fractions. Choice D (15) is incorrect; the correct answer is greater than 15.
3. 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.
4. 4 7/8 divided by 1 1/6 equals what?
- A. 4 & 6/8
- B. 4 & 7/8
- C. 5 & 8/14
- D. 4 & 5/28
Correct answer: D
Rationale: To divide 4,7/8 by 1,1/6: Convert to improper fractions: 4,7/8 = 39/8 1,1/6 = 7/6 Divide by multiplying by the reciprocal: 39/8 × 6/7 = 234/56 Simplify: 234/56 = 117/28 or 4,5/28
5. A train travels at 65 mph for 1.5 hours. How far did it travel?
- A. 97.5 miles
- B. 95 miles
- C. 100 miles
- D. 100.5 miles
Correct answer: A
Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph × 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.
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