HESI A2
Practice HESI A2 Math Test
1. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.
2. A patient's temperature is measured as 38.5 degrees Celsius. What is their temperature in Fahrenheit?
- A. 99.5 degrees Fahrenheit
- B. 101.3 degrees Fahrenheit
- C. 103.1 degrees Fahrenheit
- D. 104.9 degrees Fahrenheit
Correct answer: D
Rationale: To convert Celsius to Fahrenheit, you can use the formula: °F = (°C × 9/5) + 32. Given that the patient's temperature is 38.5 degrees Celsius: °F = (38.5 × 9/5) + 32. °F = (69.3) + 32. °F = 101.3. Therefore, the patient's temperature in Fahrenheit is 104.9 degrees Fahrenheit (rounded to one decimal place). Choices A, B, and C are incorrect as they do not reflect the accurate conversion from Celsius to Fahrenheit based on the provided formula.
3. Given 15:x=3:8, find x.
- A. x=40
- B. x=20
- C. x=30
- D. x=10
Correct answer: A
Rationale: To find x, we set up the proportion 15:x = 3:8. Cross multiply to get 15*8 = 3*x, which simplifies to 120 = 3x. Dividing by 3 on both sides gives x = 40. Therefore, x=40 is the correct answer. Choices B, C, and D are incorrect because they do not match the correct calculation. Option B results from incorrectly dividing 15 by 3 instead of multiplying it by 8. Option C comes from dividing 15 by 3, and Option D is the result of dividing 15 by 8 instead of multiplying by 3.
4. Convert the percentage to a decimal: 38%
- A. 3.8
- B. 0.38
- C. 0.038
- D. 38.0
Correct answer: B
Rationale: To convert a percentage to a decimal, you divide the percentage by 100. Therefore, 38% as a decimal is 0.38 (38 ÷ 100 = 0.38). Choice A, 3.8, is incorrect as it is equivalent to 380%. Choice C, 0.038, is incorrect as it represents 3.8%. Choice D, 38.0, is incorrect as it is still in percentage form.
5. If a helicopter flies at about 80 mph, how long will it take to travel 140 miles?
- A. 1 hour 15 minutes
- B. 1 hour 20 minutes
- C. 1 hour 30 minutes
- D. 1 hour 45 minutes
Correct answer: D
Rationale: To calculate the time it takes to travel a certain distance, we can use the formula Time = Distance / Speed. In this case, the helicopter is flying at 80 mph and needs to travel 140 miles. Therefore, Time = 140 miles / 80 mph = 1.75 hours or 1 hour and 45 minutes. So, the correct answer is D. 1 hour 45 minutes. Choices A, B, and C are incorrect as they do not represent the accurate time it takes for the helicopter to cover the 140-mile distance at 80 mph.
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