HESI A2
HESI A2 Practice Test Math
1. A female ran a 24-mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?
- A. 5 hours
- B. 5.3 hours
- C. 4 hours
- D. 6 hours
Correct answer: B
Rationale: To find the total time, add the times for each set of 6 miles: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to complete the 24-mile course. Choice A, 5 hours, is incorrect because the total time is slightly more than that. Choice C, 4 hours, is incorrect as it doesn't account for the total time taken. Choice D, 6 hours, is incorrect as it's an overestimation of the actual time taken.
2. A woman received a bottle of perfume as a present. The bottle contains 1/2 oz of perfume. How many milliliters is this?
- A. 15 mL
- B. 20 mL
- C. 10 mL
- D. 50 mL
Correct answer: A
Rationale: 1/2 oz of perfume is equal to approximately 15 mL. To convert ounces to milliliters, we need to know that 1 oz is approximately 30 mL. Therefore, half an ounce, which is 1/2 oz, would be half of 30 mL, which equals 15 mL. Choice B, 20 mL, is incorrect as it does not correspond to the conversion factor of 1 oz to 30 mL. Choice C, 10 mL, is incorrect as it is half of the actual value. Choice D, 50 mL, is incorrect as it is the value of 1 oz rather than half an ounce.
3. How many ounces are in 8 & 1/4 pints?
- A. 136 oz
- B. 128 oz
- C. 132 oz
- D. 130 oz
Correct answer: C
Rationale: To convert 8 1/4 pints to ounces, first convert the mixed number to an improper fraction: 8 1/4 = 33/4. There are 16 ounces in 1 pint. Now, multiply 33/4 by 16 ounces per pint: 33/4 x 16 = 132 ounces. Therefore, the correct answer is 132 oz. Choice A (136 oz) is incorrect because it does not result from the correct conversion. Choice B (128 oz) is incorrect as it is a miscalculation. Choice D (130 oz) is incorrect as well, not derived from the accurate conversion process.
4. How many grams of carbohydrates are in a product if it contains 4 servings, and each serving has 8 grams of carbohydrates?
- A. 32 grams
- B. 28 grams
- C. 24 grams
- D. 20 grams
Correct answer: A
Rationale: To calculate the total grams of carbohydrates in the product, you multiply the number of servings by the grams of carbohydrates per serving. Given that each serving has 8 grams of carbohydrates and there are 4 servings, the total would be 4 servings * 8 grams = 32 grams. Therefore, the correct answer is A: 32 grams. Choices B, C, and D are incorrect as they do not correctly calculate the total grams of carbohydrates based on the information provided.
5. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?
- A. 785 sq cm
- B. 1130 sq cm
- C. 1570 sq cm
- D. 2055 sq cm
Correct answer: D
Rationale: To find the total surface area, we need to calculate the surface area of the cylindrical body and both hemispherical ends separately. The surface area of the cylinder is the sum of the lateral surface area (2πrh) and the area of the two circular bases (2πr^2). For the hemispheres, the surface area of one hemisphere is (2πr^2), so for two hemispheres, it would be (4πr^2). Given that the diameter of the cylinder and hemispherical ends is 10cm, the radius (r) is 5cm. Calculating the individual surface areas: Cylinder = 2π(5)(20) + 2π(5)^2 = 200π + 50π = 250π. Hemispheres = 4π(5)^2 = 100π. Adding these together gives a total surface area of 250π + 100π = 350π cm^2, which is approximately equal to 2055 sq cm. Therefore, the correct answer is D. Choice A (785 sq cm) is incorrect as it is significantly lower than the correct calculation. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not reflect the accurate surface area calculation for the given dimensions.
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