HESI A2
HESI A2 Math Practice Test Questions
Question 1 of 5
A bottle of hand sanitizer contains 70% alcohol. If 5ml of sanitizer are used, how much pure alcohol is present?
Correct Answer: B
Rationale: In this question from the HESI A2 Math Practice Test, the correct answer is B) 2.1ml. To calculate the amount of pure alcohol present in 5ml of hand sanitizer containing 70% alcohol, we multiply the volume of sanitizer by the percentage of alcohol it contains. So, 5ml * 0.70 = 3.5ml of pure alcohol. Therefore, the correct answer is 2.1ml because that is the amount of pure alcohol present in 5ml of the hand sanitizer. Now, let's analyze why the other options are incorrect: A) 1.4ml: This is incorrect because it does not account for the 70% alcohol content in the sanitizer. C) 2.8ml: This is incorrect as it is the result of multiplying 5ml by 0.56 (70% expressed as a decimal), not the correct 0.70. D) 3.5ml: This is incorrect because 3.5ml is the total volume of the hand sanitizer, not the amount of pure alcohol present. This question assesses students' understanding of calculating percentages and applying this knowledge to real-world scenarios. Understanding how to calculate the amount of a specific component in a mixture is crucial for fields like healthcare where accurate measurements are essential. Mastering such problems can help students in medication dosage calculations and other practical applications requiring precise calculations.
Question 2 of 5
A decorative globe has a diameter of 25cm. What is its total surface area?
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.
Question 3 of 5
What is the volume of water needed to fill a rectangular swimming pool with dimensions 10 meters by 5 meters and a depth of 2 meters?
Correct Answer: B
Rationale: To find the volume of the rectangular swimming pool, you need to multiply the length by the width by the depth. Volume = Length x Width x Depth. Therefore, Volume = 10m x 5m x 2m = 100 cubic meters. This means it takes 100 cubic meters of water to fill the pool. Choices A, C, and D are incorrect as they do not correctly calculate the volume based on the provided dimensions.
Question 4 of 5
What is the absolute value of -7?
Correct Answer: C
Rationale: The absolute value of a number is its distance from zero on the number line, regardless of its sign. In this case, the absolute value of -7 is 7 because it is 7 units away from zero in the negative direction. Therefore, the absolute value of -7 is 7. Choice A (49) is incorrect as it is the square of -7, not the absolute value. Choice B (17) and Choice D (14) are incorrect values and do not represent the absolute value of -7.
Question 5 of 5
Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
Correct Answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.