HESI A2
HESI A2 Math Portion
1. How many kilograms are there in 11 pounds?
- A. 5 kilograms
- B. 5.5 kilograms
- C. 22.2 kilograms
- D. 24.2 kilograms
Correct answer: B
Rationale: To convert pounds to kilograms, you can use the conversion factor: 1 pound is approximately equal to 0.453592 kilograms. Therefore, 11 pounds is equal to 11 * 0.453592 = 4.989512, which is approximately 5.5 kilograms. The correct answer is 5.5 kilograms. Choice A is incorrect as it rounds down and doesn't account for the decimals in the conversion. Choices C and D are significantly higher than the correct answer and are clearly incorrect conversions.
2. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?
- A. 125 cu cm
- B. 200 cu cm
- C. 275 cu cm
- D. 350 cu cm
Correct answer: C
Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.
3. Express 0.75 as a fraction.
- A. 4/5
- B. 3/4
- C. 1/2
- D. 1/4
Correct answer: B
Rationale: To express 0.75 as a fraction, we write it as 75/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives us 3/4. Therefore, 0.75 is equivalent to 3/4. Choice A (4/5), Choice C (1/2), and Choice D (1/4) are incorrect fractions and do not represent 0.75.
4. A person is laying stones for a garden. They have 1,200 stones. Each stone covers an area of 0.75 square feet. What is the total area that the stones will cover?
- A. 800 sq ft
- B. 750 sq ft
- C. 900 sq ft
- D. 950 sq ft
Correct answer: A
Rationale: To find the total area covered by the stones, multiply the number of stones by the area each stone covers: 1,200 stones * 0.75 sq ft = 900 sq ft. Therefore, the stones will cover 900 sq ft, which is closest to 800 sq ft among the answer choices A, B, C, and D. The correct answer is A, 800 sq ft. Choices B, C, and D are incorrect as they do not result from the correct calculation of multiplying the number of stones by the area each stone covers.
5. How many liters are in 2500 milliliters?
- A. 2.5 liters
- B. 1.5 liters
- C. 3.5 liters
- D. 0.25 liters
Correct answer: A
Rationale: The correct answer is A: 2.5 liters. There are 1,000 milliliters in a liter. To convert 2,500 milliliters to liters, you need to divide by 1,000: 2,500 / 1,000 = 2.5 liters. Choice B (1.5 liters) is incorrect because it miscalculates the conversion. Choice C (3.5 liters) is incorrect as it overestimates the conversion. Choice D (0.25 liters) is incorrect as it underestimates the conversion. Therefore, the correct conversion is 2.5 liters.
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