HESI A2
HESI A2 Math Practice Test 2022
1. A medication dosage is listed as 1/4 gram. What is the equivalent dosage in milligrams (1 gram = 1000 milligrams)?
- A. 125mg
- B. 250mg
- C. 375mg
- D. 500mg
Correct answer: B
Rationale: 1/4 gram is equivalent to 1/4 * 1000 milligrams (since 1 gram = 1000 milligrams). 1/4 * 1000 = 250 milligrams. Therefore, the equivalent dosage in milligrams is 250mg, which corresponds to option B. The other choices are incorrect because they do not correctly convert 1/4 gram to milligrams using the conversion factor of 1 gram = 1000 milligrams.
2. Add and simplify: 4⅔ + 6½ =
- A. 11â…™
- B. 10â…“
- C. 9â…™
- D. 9
Correct answer: C
Rationale: To add 4⅔ and 6½, we first need to convert the fractions to have the same denominator. Converting 4⅔ to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9⅙. Therefore, the correct answer is 9⅙. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.
3. What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?
- A. 60 cu cm
- B. 120 cu cm
- C. 150 cu cm
- D. 180 cu cm
Correct answer: C
Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.
4. Change the following percentage to a decimal: 0.03%
- A. 0.03
- B. 0.0003
- C. 0.3
- D. 0.003
Correct answer: B
Rationale: To convert a percentage to a decimal, divide by 100. Therefore, 0.03% ÷ 100 = 0.0003. The correct answer is B. Choice A (0.03) is incorrect because it does not account for the conversion of percentage to decimal. Choice C (0.3) is incorrect as it represents 0.03 as 30% rather than 0.03%. Choice D (0.003) is also incorrect as it does not accurately convert 0.03% to a decimal.
5. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?
- A. -3
- B. 0
- C. 33
- D. 15
Correct answer: C
Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.
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