HESI A2
HESI A2 Quizlet Math
1. How many feet are in 3 yards?
- A. 18 feet
- B. 9 feet
- C. 12 feet
- D. 27 feet
Correct answer: B
Rationale: To convert yards to feet, you multiply by 3, as 1 yard is equal to 3 feet. Therefore, 3 yards equals 3 x 3 = 9 feet. Choice A (18 feet) is incorrect because it multiplies by 2 instead of 3. Choice C (12 feet) is incorrect as it multiplies by 4 instead of 3. Choice D (27 feet) is incorrect as it multiplies by 9 instead of 3.
2. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?
- A. 12000 cubic meters
- B. 6000 cubic meters
- C. 18000 cubic meters
- D. 24000 cubic meters
Correct answer: A
Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.
3. The formula for calculating ideal body weight (IBW) for men is IBW (kg) = 50 + 2.3 * (height in cm - 150). If a man is 180cm tall, what is his ideal body weight?
- A. 68kg
- B. 71kg
- C. 74kg
- D. 77kg
Correct answer: B
Rationale: Rationale: 1. Substitute the given height into the formula for calculating ideal body weight (IBW) for men: IBW (kg) = 50 + 2.3 * (180 - 150) IBW (kg) = 50 + 2.3 * 30 IBW (kg) = 50 + 69 IBW (kg) = 119 2. Therefore, the ideal body weight for a man who is 180cm tall is 119kg. 3. Among the given options, the closest value to 119kg is 71kg (option B). 4. Hence, the correct answer is B) 71kg.
4. Solve the proportion (find the value of x): 9:14 = x:56.
- A. x = 14
- B. x = 25
- C. x = 36
- D. x = 42
Correct answer: C
Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.
5. A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?
- A. 572
- B. 568
- C. 286
- D. 282
Correct answer: C
Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters × 770 meters. Each tree occupies 10 meters × 10 meters. Dividing the effective area by the space for each tree gives: (640 × 770) ÷ (10 × 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.
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