HESI A2
HESI A2 Math Practice Exam
1. How many feet are in 2 miles?
- A. 5280 feet
- B. 15840 feet
- C. 10560 feet
- D. 10200 feet
Correct answer: C
Rationale: To convert miles to feet, multiply the number of miles by the conversion factor of feet per mile. Since there are 5280 feet in 1 mile, to find the number of feet in 2 miles, you multiply 2 by 5280, resulting in 10560 feet. Choice A, 5280 feet, is the conversion factor for 1 mile, not for 2 miles. Choices B and D are incorrect calculations that do not follow the conversion factor correctly.
2. Jan canned 5 gallons of homemade tomatoes. She needs to purchase quart jars to finish the process. How many quart jars will she need to buy for her tomatoes?
- A. 10
- B. 15
- C. 20
- D. 25
Correct answer: C
Rationale: To determine the number of quart jars needed, we first need to convert the gallons to quarts. Since 1 gallon equals 4 quarts, 5 gallons will be equal to 5 * 4 = 20 quarts. Therefore, Jan will need to buy 20 quart jars to store her canned tomatoes. Choices A, B, and D are incorrect as they do not correctly convert the gallons to quarts, leading to an incorrect quantity of jars required.
3. A train travels at a constant speed of 60 mph for 2 hours. How many miles did the train travel?
- A. 120 miles
- B. 180 miles
- C. 100 miles
- D. 240 miles
Correct answer: A
Rationale: To determine the distance traveled by the train, you multiply the speed by the time: 60 mph × 2 hours = 120 miles. Therefore, the correct answer is 120 miles. Choice B, 180 miles, is incorrect as it results from multiplying the speed by 3 hours instead of 2. Choice C, 100 miles, is incorrect as it results from multiplying the speed by 1.5 hours. Choice D, 240 miles, is incorrect as it results from multiplying the speed by 4 hours instead of 2.
4. In the time required to serve 43 customers, a server breaks 2 glasses and slips 5 times. The next day, the same server breaks 10 glasses. How many customers did she serve?
- A. 25
- B. 43
- C. 86
- D. 215
Correct answer: C
Rationale: In the first scenario, for 43 customers served, the server broke 2 glasses and slipped 5 times. This means for each customer served, the server broke 2/43 glasses and slipped 5/43 times. The information about breaking 10 glasses the next day is irrelevant to the number of customers served. Therefore, to find out the total number of customers served, we calculate 43 customers * (2 glasses/customer + 5 slips/customer) = 86. Choice A, 25, is incorrect as it does not consider the total number of glasses broken or slips. Choice B, 43, is incorrect because it only considers the initial number of customers. Choice D, 215, is incorrect as it miscalculates the relationship between customers, glasses broken, and slips.
5. Solve for x: 7:42 :: 4:x
- A. 16
- B. 24
- C. 48
- D. 12
Correct answer: B
Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.
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