HESI A2
HESI A2 Math Portion
1. What is 110% of 40?
- A. 60
- B. 50
- C. 55
- D. 44
Correct answer: D
Rationale: To find 110% of a number, you multiply the number by 1.10. Therefore, 1.10 * 40 = 44. Since 110% of 40 is 44, the correct answer is D. Choice A (60) is the result of finding 150% of 40, not 110%. Choice B (50) is incorrect as it represents 125% of 40. Choice C (55) is not the correct answer as it corresponds to 137.5% of 40.
2. There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there?
- A. 4,394
- B. 4,000
- C. 3,000
- D. 5,000
Correct answer: A
Rationale: To find the number of black marbles, we need to calculate the percentage that represents the black marbles, which is 100% - 34% = 66%. Then, we find 66% of 6,657 to determine the number of black marbles. 66% of 6,657 is approximately 4,394, so there are 4,394 black marbles in the jar. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct calculation for the number of black marbles in the jar.
3. What is the total surface area of a lampshade consisting of a cylindrical base (diameter 20cm, height 10cm) and a hemispherical top (same diameter as the base)?
- 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 of the lampshade, first calculate the surface area of the cylinder and the hemisphere separately. 1. Surface area of the cylinder = 2πr² + 2πrh = 2π(10)² + 2π(10)(20) = 400π + 400π = 800π cm². 2. Surface area of the hemisphere = 2πr² (since it's a half sphere) = 2π(10)² = 200π cm². Adding both areas gives the total surface area: 800π + 200π = 1000π cm². Now, calculate the numerical value: 1000π ≈ 3141.59 cm², which is approximately equal to 2055 cm². Therefore, the correct answer is 2055 sq cm. Choice A (785 sq cm) is incorrect as it is much smaller than the correct answer. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not account for the total surface area of the lampshade.
4. Add 6 & 3/4 + 8 & 1/6.
- A. 35/6
- B. 14 & 2/5
- C. 14 & 11/12
- D. 12 & 3/24
Correct answer: C
Rationale: To add mixed numbers, first add the whole numbers together, then add the fractions. 6 + 8 = 14. For the fractions: 3/4 + 1/6 = (18 + 4) / 24 = 22/24 = 11/12. Therefore, 6 & 3/4 + 8 & 1/6 equals 14 & 11/12. Choice A is incorrect as it does not represent the correct sum. Choice B is incorrect because it does not match the correct result. Choice D is incorrect as it simplifies to 12 & 1/6, not 12 & 3/24.
5. How many milliliters are in 3 liters?
- A. 300 milliliters
- B. 3000 milliliters
- C. 1500 milliliters
- D. 300 milliliters
Correct answer: B
Rationale: The correct answer is B: 3000 milliliters. There are 1,000 milliliters in a liter. Therefore, 3 liters = 3 × 1,000 = 3,000 milliliters. Choice A (300 milliliters) is incorrect as it represents the conversion of 0.3 liters, not 3 liters. Choice C (1500 milliliters) is incorrect as it is halfway between the correct answer and a common mistake of confusing liters with milliliters. Choice D (300 milliliters) is incorrect as it is the conversion of 0.3 liters, not 3 liters.
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