ratio and proportion 0110x400
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Nursing Elites

HESI A2

HESI A2 Math Practice Test 2022

1. What is the value of x in the ratio and proportion 0.1:10=x:400?

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.

2. If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs?

Correct answer: C

Rationale: If two blank CDs cost 36 cents, each blank CD costs 18 cents (36 cents / 2). To find the cost of 10 blank CDs, you multiply the cost of one CD by the total number of CDs: 18 cents x 10 = $1.80. Therefore, it would cost $1.80 to buy 10 blank CDs. Choice A ($0.90) is incorrect because it miscalculates the cost per CD. Choice B ($1.35) is incorrect as it doesn't consider the total number of CDs. Choice D ($3.60) is incorrect as it miscalculates the cost of one CD.

3. What is the result of adding 6 3/4 + 8 1/6?

Correct answer: A

Rationale: To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12. Therefore, the correct answer is A. Choice B is incorrect as it does not simplify to the correct result. Choice C is in fraction form and not in mixed number form, making it incorrect. Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.

4. 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?

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.

5. A medication dosage is listed as 1/4 gram. What is the equivalent dosage in milligrams (1 gram = 1000 milligrams)?

Correct answer: B

Rationale: 1/4 gram is equivalent to 1/4 * 1000 milligrams (since 1 gram = 1000 milligrams). 1/4 * 1000 = 250 milligrams. Therefore, the equivalent dosage in milligrams is 250mg, which corresponds to option B. The other choices are incorrect because they do not correctly convert 1/4 gram to milligrams using the conversion factor of 1 gram = 1000 milligrams.

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