a bottle of hand sanitizer contains 70 alcohol if 5ml of sanitizer are used how much pure alcohol is present

HESI A2

HESI A2 Math Practice Test

1. A bottle of hand sanitizer contains 70% alcohol. If 5ml of sanitizer are used, how much pure alcohol is present?

A. 1.4ml
B. 2.1ml
C. 2.8ml
D. 3.5ml

Correct answer: B

Rationale: Rationale: - If the hand sanitizer contains 70% alcohol, it means that 70% of the 5ml used is pure alcohol. - To find the amount of pure alcohol present, we calculate 70% of 5ml: 0.7 * 5ml = 3.5ml. - Therefore, when 5ml of sanitizer are used, there are 3.5ml of pure alcohol present.

2. What is 20% of 2?

A. 0.4
B. 0.2
C. 0.3
D. 0.1

Correct answer: A

Rationale: To find 20% of a number, you multiply the number by 0.20. In this case, 0.20 * 2 = 0.4. Therefore, 0.4 is 20% of 2. Choice A (0.4) is correct. Choice B (0.2) is incorrect because it represents 10% of 2, not 20%. Choice C (0.3) is incorrect as it is not the result of calculating 20% of 2. Choice D (0.1) is incorrect as it represents 5% of 2, not 20%.

3. Percent (%) is a way to express a fraction with a denominator of 100. 125% can be expressed as a fraction in lowest terms. Which of the following represents 125% as a fraction?

A. 5/4
B. 1/8
C. 5/2
D. 25/2

Correct answer: A

Rationale: Percent (%) represents a value out of 100. To convert 125% to a fraction, it is 125/100. Simplifying 125/100 by dividing both the numerator and denominator by 25 gives us 5/4. Therefore, the correct answer is A. Choice B (1/8), Choice C (5/2), and Choice D (25/2) do not represent 125% as a fraction in lowest terms.

4. Teresa began collecting baseball cards exactly 8 months ago, and in that time, she has collected 144 cards. On average, how many baseball cards has she collected per month?

A. 12
B. 16
C. 18
D. 22

Correct answer: C

Rationale: Teresa collected 144 baseball cards in 8 months. To find the average number of cards collected per month, we divide the total number of cards by the total months: 144 cards ÷ 8 months = 18 cards per month. Therefore, on average, Teresa has collected 18 baseball cards per month. Choice A (12), Choice B (16), and Choice D (22) are incorrect as they do not match the correct calculation based on the information provided in the question.