HESI A2
HESI A2 Math Practice Test 2023
1. How many inches are in 1.5 yards?
- A. 54 inches
- B. 60 inches
- C. 72 inches
- D. 84 inches
Correct answer: A
Rationale: To convert yards to inches, multiply the number of yards by 36 (since there are 36 inches in a yard). 1.5 yards × 36 inches/yard = 54 inches. Therefore, the correct answer is 54 inches. Choice B, 60 inches, is incorrect as it incorrectly assumes that there are 40 inches in a yard. Choice C, 72 inches, is incorrect as it multiplies 1.5 by 48, which is not the correct conversion factor. Choice D, 84 inches, is incorrect as it multiplies 1.5 by 56, which is not the correct conversion factor.
2. How many liters are there in 2,500 milliliters?
- A. 2.5 liters
- B. 25 liters
- C. 250 liters
- D. 25,000 liters
Correct answer: A
Rationale: There are 1,000 milliliters in a liter. To convert 2,500 milliliters to liters, you divide by 1,000: 2,500 milliliters / 1,000 = 2.5 liters. Therefore, choice A, '2.5 liters,' is the correct answer. Choice B, '25 liters,' is incorrect as it would be the result if you mistakenly multiplied instead of dividing. Choice C, '250 liters,' is incorrect as it is 100 times the correct answer. Choice D, '25,000 liters,' is significantly higher and not a conversion error but an order of magnitude error.
3. An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?
- A. 30 feet
- B. 15 feet
- C. 25 feet
- D. 45 feet
Correct answer: B
Rationale: The formula for the area of a rectangle is: Area = Length × Width. To find the length, divide the area by the width: 225 ÷ 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.
4. Multiply: 25 × 4 = and express the result in decimal form.
- A. 0.01
- B. 0.1
- C. 1
- D. 10
Correct answer: C
Rationale: To multiply 25 by 4, you get 100. To express the result in decimal form, you divide by 100. Therefore, the result is 1. Choice A (0.01) is incorrect as it represents 1/100, not the result of 25 × 4. Choice B (0.1) is incorrect as it represents 1/10. Choice D (10) is incorrect as it is the result before converting it to decimal form.
5. 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.
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