HESI A2
Math HESI A2 Practice Test
1. 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.
2. What is the result of 32 divided by 8/9?
- A. 4 & 1/9
- B. 4
- C. 36
- D. 28 & 4/9
Correct answer: C
Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.
3. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
- A. 625 cu cm
- B. 1250 cu cm
- C. 1875 cu cm
- D. 2500 cu cm
Correct answer: C
Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.
4. Sarah had 1 quart of milk. How many ounces of milk is that?
- A. 16 ounces
- B. 24 ounces
- C. 32 ounces
- D. 48 ounces
Correct answer: C
Rationale: The correct answer is 32 ounces. One quart is equivalent to 32 ounces. To convert quarts to ounces, you need to know that 1 quart equals 32 ounces. Therefore, 1 quart of milk is equal to 32 ounces. Choices A, B, and D are incorrect as they do not accurately convert 1 quart to ounces.
5. What is the value of x in the ratio and proportion 0.1:10=x:400?
- A. 5
- B. 4
- C. 50
- D. 25
Correct answer: B
Rationale: To solve the proportion 0.1:10=x:400, first, simplify the left side to 1:100. Then, set up the proportion as 1:100=x:400. Cross multiply to get x = 4. Therefore, the correct answer is B. Choice A (5) is incorrect because it does not match the calculated value of x. Choice C (50) is incorrect as it is not the result of solving the proportion provided. Choice D (25) is incorrect as it does not align with the correct calculation of x.
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