HESI A2
HESI A2 Math Practice
1. A worker in a warehouse ships 9 boxes each day. If every box must contain 3 shipping labels, how many shipping labels does the worker need each day?
- A. 24 labels
- B. 27 labels
- C. 20 labels
- D. 30 labels
Correct answer: B
Rationale: To find the total number of shipping labels needed, multiply the number of boxes by the labels per box: 9 boxes * 3 labels per box = 27 labels. Therefore, the worker needs 27 shipping labels each day. Choice A, 24 labels, is incorrect because it results from multiplying 9 boxes by 3 labels without calculating the correct total. Choice C, 20 labels, is incorrect as it underestimates the total number of labels needed. Choice D, 30 labels, is incorrect as it overestimates the total by multiplying incorrectly.
2. If a rat can finish a maze in about 3 minutes, how much longer will it take the rat to finish the maze if a small backpack is put on it, reducing its speed by 50%?
- A. 3 minutes
- B. 4 minutes
- C. 6 minutes
- D. 1.5 minutes
Correct answer: C
Rationale: Reducing the rat's speed by 50% means it will take twice as long to finish the maze. Since the original time is 3 minutes, doubling that gives 6 minutes. Therefore, the total time will be 6 minutes, making the correct answer C. Choice A (3 minutes) is the original time it takes the rat to finish the maze, not the time with the backpack. Choice B (4 minutes) is not correct as reducing the speed by 50% would double the original time. Choice D (1.5 minutes) is incorrect as halving the time is not the effect of reducing the speed by 50%.
3. Which number is the highest among 0.077, 0.777, 0.08, and 0.87?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct answer: D
Rationale: To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.
4. How many pints are in 56 ounces?
- A. 3.5 pints
- B. 4 pints
- C. 3 pints
- D. 4.5 pints
Correct answer: A
Rationale: To convert ounces to pints, you need to know that 1 pint is equivalent to 16 ounces. Therefore, to find how many pints are in 56 ounces, you divide 56 by 16, which equals 3.5 pints. Hence, the correct answer is 3.5 pints. Choice B, 4 pints, is incorrect because it doesn't account for the conversion factor of 16 ounces per pint. Choice C, 3 pints, is incorrect as it is less than the actual conversion result. Choice D, 4.5 pints, is incorrect as it overestimates the number of pints in 56 ounces.
5. A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?
- A. 3142 sq cm
- B. 4712 sq cm
- C. 5486 sq cm
- D. 7957 sq cm
Correct answer: C
Rationale: To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately. For the sphere: - Radius = Diameter / 2 = 50 / 2 = 25 cm - Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm² For the cylinder: - Radius = Diameter / 2 = 30 / 2 = 15 cm - Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm² Total surface area = Surface area of sphere + Surface area of cylinder = 500π + 690π = 1190π cm² ≈ 5486 sq cm. Therefore, the correct answer is C. Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.
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