HESI A2
HESI A2 Math Practice Test
1. If Jolene averages 5 miles for every 30 minutes of biking, how far will she bike in 2 hours?
- A. 10 miles
- B. 15 miles
- C. 20 miles
- D. 30 miles
Correct answer: C
Rationale: If Jolene bikes 5 miles for every 30 minutes, it means she bikes 10 miles in one hour (twice the 30-minute interval). Therefore, in 2 hours, she will cover double the distance she bikes in one hour, which equals 20 miles (10 miles per hour x 2 hours = 20 miles). This makes Choice C, '20 miles,' the correct answer. Choices A, B, and D are incorrect as they do not account for the correct doubling of the hourly distance when calculating the total distance biked in 2 hours.
2. 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.
3. If he left a tip of $36 on a total bill of $200, what percentage of the total bill did he leave as a tip?
- A. 16%
- B. 18%
- C. 20%
- D. 22%
Correct answer: B
Rationale: To determine the tip percentage left, divide the tip amount ($36) by the total bill amount ($200), then multiply the result by 100 to express it as a percentage: (36/200) x 100 = 18%. Therefore, he left an 18% tip on the total bill amount. Choice A (16%) is incorrect because the correct calculation results in 18%. Choice C (20%) and Choice D (22%) are incorrect as they do not match the calculated percentage based on the provided numbers.
4. Convert 1/5 to a decimal.
- A. 0.5
- B. 0.2
- C. 1.5
- D. 0.15
Correct answer: B
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 1 ÷ 5 = 0.2. Therefore, the correct answer is B. Choice A (0.5) is incorrect because the decimal form of 1/5 is not 0.5. Choice C (1.5) is incorrect as it is the sum of 1 and 0.5, not the decimal form of 1/5. Choice D (0.15) is incorrect as it is the decimal form of 15/100, not 1/5.
5. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 3 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 3.0 liters
- B. 2.8 liters
- C. 2.5 liters
- D. 3.5 liters
Correct answer: B
Rationale: 3 quarts is approximately 2.8 liters. To convert quarts to liters, multiply the number of quarts by 0.946353. Therefore, the correct answer is 2.8 liters. Choice A (3.0 liters) is incorrect as it does not accurately convert 3 quarts to liters. Choice C (2.5 liters) is incorrect as it is less than the correct conversion. Choice D (3.5 liters) is incorrect as it is more than the correct conversion.
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