HESI A2
HESI A2 Practice Test Math
1. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?
- A. 675 cu cm
- B. 1350 cu cm
- C. 2700 cu cm
- D. 4050 cu cm
Correct answer: C
Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.
2. Convert this military time to regular time: 1310 hours.
- A. 1:10 A.M.
- B. 1:10 P.M.
- C. 1:31 A.M.
- D. 1:31 P.M.
Correct answer: D
Rationale: In military time, 1310 hours is equivalent to 1:10 P.M. However, in regular time, the conversion should have a colon between the hour and minutes, so the correct conversion is 1:31 P.M. Choice A (1:10 A.M.) and Choice C (1:31 A.M.) are incorrect as they both represent A.M. hours, while 1310 hours is in the afternoon (P.M.). Choice B (1:10 P.M.) is incorrect as it represents the hour correctly but lacks the accurate minutes representation.
3. A hospital receives a shipment of vitamin tablets. The hospital ordered 6,000 tablets, but the shipment included 1/5 more tablets than the hospital ordered. How many tablets were in the shipment?
- A. 7,200 tablets
- B. 5,000 tablets
- C. 6,500 tablets
- D. 8,000 tablets
Correct answer: A
Rationale: To find the total tablets in the shipment, first, calculate 1/5 of 6,000: 6,000 * 1/5 = 1,200. Add this to the original order: 6,000 + 1,200 = 7,200 tablets. Therefore, the shipment included 7,200 tablets. Choice B, 5,000 tablets, is incorrect because it does not account for the additional 1/5 of the original order. Choice C, 6,500 tablets, is incorrect as it only considers the original order and not the extra tablets. Choice D, 8,000 tablets, is incorrect as it overestimates the total by not considering the 1/5 more tablets included in the shipment.
4. A seamstress is measuring a model for a new dress. The tape measure is marked in centimeters. The seamstress needs to convert that measurement into inches. If the model's waist measurement is 65.4 centimeters, what is that in inches?
- A. 25.74
- B. 21
- C. 15
- D. 10
Correct answer: A
Rationale: To convert centimeters to inches, divide the measurement in centimeters by 2.54 (since 1 inch = 2.54 cm). Therefore, 65.4 cm ÷ 2.54 = 25.74 inches. This means that the model's waist measurement of 65.4 centimeters is equivalent to 25.74 inches. Choices B, C, and D are incorrect as they do not result from the correct conversion calculation.
5. If you have 4 kilograms, how many grams would you have?
- A. 400 grams
- B. 4000 grams
- C. 40 grams
- D. 100 grams
Correct answer: B
Rationale: In the metric system, there are 1000 grams in 1 kilogram. To convert kilograms to grams, you multiply the number of kilograms by 1000. Therefore, 4 kilograms would equal 4000 grams. Choice A (400 grams) is incorrect because it is the result of multiplying by 100, not 1000. Choice C (40 grams) is incorrect as it is the result of dividing by 1000 instead of multiplying. Choice D (100 grams) is incorrect as it is a random figure and not the correct conversion from kilograms to grams.
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