HESI A2
HESI A2 Math 2024
1. A triangular scarf has sides measuring 10cm, 12cm, and 15cm. What is its perimeter?
- A. 27cm
- B. 32cm
- C. 37cm
- D. 45cm
Correct answer: B
Rationale: Rationale: The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the sides of the triangular scarf measure 10cm, 12cm, and 15cm. Therefore, the perimeter is calculated as: Perimeter = 10cm + 12cm + 15cm Perimeter = 37cm Therefore, the correct answer is B) 32cm.
2. How many gallons are in 3 fluid ounces?
- A. 0.0234 gallons
- B. 0.5 gallons
- C. 0.38 gallons
- D. 0.12 gallons
Correct answer: A
Rationale: To convert fluid ounces to gallons, you need to divide the number of fluid ounces by 128 because there are 128 fluid ounces in 1 gallon. Therefore, 3 fluid ounces ÷ 128 equals approximately 0.0234 gallons. Choice A is correct. Choice B (0.5 gallons) is incorrect as it is equivalent to 64 fluid ounces, not 3. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect conversions of 3 fluid ounces to gallons.
3. If there are 128 ounces in 1 gallon, how many ounces are in 2.5 gallons?
- A. 256 ounces
- B. 320 ounces
- C. 400 ounces
- D. 250 ounces
Correct answer: B
Rationale: To find the total number of ounces in 2.5 gallons, multiply the number of gallons by the number of ounces per gallon: 2.5 gallons × 128 ounces/gallon = 320 ounces. The correct answer is 320 ounces. Choice C (400 ounces) is incorrect because multiplying 2.5 by 128 gives 320, not 400. Choice D (250 ounces) is also incorrect as it seems to be a miscalculation.
4. How many ounces are in 3 5/8 quarts?
- A. 184 oz
- B. 132 oz
- C. 128 oz
- D. 320 oz
Correct answer: A
Rationale: To convert quarts to ounces, we need to know that 1 quart is equal to 32 ounces. To find out how many ounces are in 3 5/8 quarts, we multiply 3 quarts by 32 (96) and add the equivalent of 5/8 of a quart, which is 16 ounces (32 * 5/8 = 16). Adding these together gives us a total of 112 ounces. Therefore, the correct answer is 184 ounces. Choice B (132 oz) is incorrect as it does not account for the additional 16 ounces from the 5/8 of a quart. Choice C (128 oz) is incorrect as it miscalculates the total number of ounces. Choice D (320 oz) is incorrect as it incorrectly multiplies 3.625 by 32, which is not the correct way to convert quarts to ounces.
5. A decorative globe has a diameter of 25cm. What is its total surface area?
- A. 1570 sq cm
- B. 1963 sq cm
- C. 2513 sq cm
- D. 3142 sq cm
Correct answer: B
Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.
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