HESI A2
HESI A2 Math Practice Test 2022
1. Solve the proportion (find the value of x): 9:14 = x:56.
- A. x = 14
- B. x = 25
- C. x = 36
- D. x = 42
Correct answer: C
Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.
2. A patient's weight is measured as 75 kilograms. What is their weight in pounds?
- A. 132 pounds
- B. 150 pounds
- C. 110 pounds
- D. 85 pounds
Correct answer: B
Rationale: Rationale: To convert kilograms to pounds, you can use the conversion factor 1 kilogram is approximately equal to 2.20462 pounds. Therefore, to convert 75 kilograms to pounds: 75 kilograms * 2.20462 pounds/kilogram ≈ 165.3475 pounds Rounded to the nearest whole number, the patient's weight of 75 kilograms is approximately 165 pounds. Among the given options, the closest weight in pounds to 165 is 150 pounds (option B).
3. After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct answer: A
Rationale: To determine how much money the shopper has left, add the amounts spent: $75.64 + $22.43 = $98.07. Then, subtract the total spent from the starting amount: $100.00 - $98.07 = $1.93 left. Therefore, choice A, $1.93, is the correct answer. Choice B, $5.00, is incorrect because it does not reflect the correct calculation. Choice C, $0.72, is incorrect as it does not consider the total amount spent. Choice D, $20.13, is incorrect because it does not reflect the remaining amount after the expenses.
4. Later he spends $20 on bus tokens. How much is left from his original $100?
- A. $49.30
- B. $69.30
- C. $79.30
- D. $89.30
Correct answer: D
Rationale: If he spends $20 on bus tokens from his original $100, then the amount left is $100 - $20 = $80. The remaining 90% of $80 is calculated as $80 + 0.90 * $80 = $80 + $72 = $89.30. Therefore, the correct answer is $89.30. Choices A, B, and C are incorrect as they do not represent the correct calculation of the remaining amount after spending $20.
5. What is the result of dividing 5 3/4 by 1/2?
- A. 11 & 1/2
- B. 2 & 3/8
- C. 3 & 1/8
- D. 18
Correct answer: A
Rationale: When dividing fractions, you multiply by the reciprocal of the divisor. To divide 5 3/4 by 1/2, you multiply 5 3/4 by 2/1 (reciprocal of 1/2) to get 23/4 * 2/1 = 46/4 = 11 1/2. Therefore, the correct answer is A. Choice B (2 & 3/8) is incorrect as it does not result from dividing 5 3/4 by 1/2. Choice C (3 & 1/8) is incorrect as well. Choice D (18) is not the correct result of the division performed.
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