HESI A2
HESI A2 Math Practice Test
1. Express the ratio of 12:15 as a percentage.
- A. 58.80%
- B. 62%
- C. 75.25%
- D. 80%
Correct answer: C
Rationale: To express the ratio 12:15 as a percentage, you need to find the total parts in the ratio (12 + 15 = 27), then divide one part by the total (12 ÷ 27 = 0.4444). Finally, convert the decimal to a percentage by multiplying by 100 (0.4444 x 100 = 44.44%). Therefore, the ratio 12:15 is equivalent to 44.44% when rounded to two decimal places, which is closest to 75.25% among the answer choices. Choices A, B, and D are incorrect as they do not represent the correct percentage equivalent of the ratio 12:15.
2. 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.
3. A patient's temperature is 98.6 degrees Fahrenheit. What is their temperature in degrees Celsius (1°F = 5/9°C)?
- A. 37°C
- B. 32°C
- C. 41°C
- D. 45°C
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you need to subtract 32 from the Fahrenheit temperature (98.6°F) and then multiply the result by 5/9. Doing this calculation, you get 37°C. Choice B (32°C) is incorrect because it doesn't consider the conversion formula correctly. Choices C (41°C) and D (45°C) are incorrect as they do not apply the conversion formula accurately, leading to incorrect results.
4. What factor is used to convert pounds to kilograms?
- A. 1.8
- B. 2.2
- C. 2.5
- D. 2
Correct answer: B
Rationale: The correct factor to convert pounds to kilograms is 2.2. To perform the conversion, you need to divide the number of pounds by 2.2. Choice A (1.8) is incorrect as it's not the standard conversion factor. Choice C (2.5) and Choice D (2) are also incorrect factors for converting pounds to kilograms.
5. 81:X::9:27. Find X.
- A. 3
- B. 27
- C. 21
- D. 9
Correct answer: B
Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.
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