HESI A2
HESI A2 Math Practice Test 2022
1. Change the following percentage to a decimal: 76.3%
- A. 0.0763
- B. 7
- C. 0.763
- D. 7.63
Correct answer: C
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to convert 76.3% to a decimal, you move the decimal point two places to the left, resulting in 0.763. Therefore, the correct answer is C. Choice A (0.0763) is incorrect as it represents 7.63% as a decimal. Choice B (7) and Choice D (7.63) are not correct conversions of the given percentage to a decimal.
2. A label states 1 mil contains 500 mg. How many mils are there if there are 1.5 grams?
- A. 9
- B. 2
- C. 3
- D. 5
Correct answer: C
Rationale: To calculate the number of mils, first, convert 1.5 grams to milligrams (1.5 grams = 1500 mg). Then, since 1 mil contains 500 mg, divide 1500 mg by 500 mg/mil, resulting in 3 mils required to contain 1.5 grams of substance. Choice A, 9, is incorrect because it miscalculates the conversion. Choice B, 2, is incorrect as it does not consider the correct conversion factor. Choice D, 5, is incorrect as it also miscalculates the conversion.
3. Convert 0.25 to a fraction.
- A. 1/4
- B. 1/3
- C. 1/2
- D. 3/4
Correct answer: A
Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.
4. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
- A. 625 cu cm
- B. 1250 cu cm
- C. 1875 cu cm
- D. 2500 cu cm
Correct answer: C
Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.
5. How many pounds are in 80 ounces?
- A. 5 pounds
- B. 6 pounds
- C. 4 pounds
- D. 3 pounds
Correct answer: A
Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find how many pounds are in 80 ounces, you divide 80 by 16, which equals 5 pounds. Thus, the correct answer is 5 pounds. Choice B, 6 pounds, is incorrect because it doesn't accurately reflect the conversion from ounces to pounds. Choice C, 4 pounds, and Choice D, 3 pounds, are also incorrect as they do not align with the correct conversion factor of 16 ounces to 1 pound.
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