HESI A2
HESI A2 Math Practice
1. What is the probability of rolling a 4 on a six-sided die?
- A. 1/2
- B. 1/6
- C. 1/3
- D. 1/2
Correct answer: B
Rationale: The correct answer is B: 1/6. When rolling a six-sided die, there is only one outcome that results in a '4' out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 4 is 1/6. Choice A (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a '4.' Choice C (1/3) and Choice D (1/2) do not accurately reflect the probability of rolling a '4' on a six-sided die.
2. A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?
- A. 2 units
- B. 3 units
- C. 4 units
- D. 5 units
Correct answer: B
Rationale: Rationale: 1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL. 2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units. 3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units. Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.
3. How many milliliters are in 5 liters?
- A. 5000 milliliters
- B. 50 milliliters
- C. 500 milliliters
- D. 0.5 milliliters
Correct answer: A
Rationale: To convert liters to milliliters, remember there are 1,000 milliliters in a liter. So, to find how many milliliters are in 5 liters, you multiply 5 (liters) by 1,000 (milliliters per liter), which equals 5,000 milliliters. Choice A is correct as it converts 5 liters to milliliters accurately. Choice B, 50 milliliters, is incorrect as it mistakenly converts liters to milliliters by a factor of 100 instead of 1,000. Choice C, 500 milliliters, is incorrect as it also wrongly converts liters to milliliters by a factor of 10 instead of 1,000. Choice D, 0.5 milliliters, is incorrect as it inaccurately converts 5 liters to 0.5 milliliters, which is not correct.
4. Convert 2/5 to a decimal.
- A. 0.5
- B. 0.25
- C. 0.4
- D. 0.5
Correct answer: C
Rationale: To convert 2/5 to a decimal, you divide the numerator (2) by the denominator (5): 2 รท 5 = 0.4. Therefore, the correct decimal representation of 2/5 is 0.4. Choice A (0.5) is incorrect because it represents 1/2, not 2/5. Choice B (0.25) is incorrect as it represents 1/4, not 2/5. Choice D (0.5) is incorrect as it also represents 1/2, not 2/5.
5. Solve for y if y = 3: 4y + 21 / y.
- A. 7.7
- B. 19
- C. 23/3
- D. 11
Correct answer: B
Rationale: To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.
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