a physician wants to prescribe 5 mg of a medication to a patient the medication comes in a 2 mg dose per 1 ml vial how many milliliters of the medicat

HESI A2

HESI A2 Math Practice Test 2022

1. A physician wants to prescribe 5 mg of a medication to a patient. The medication comes in a 2-mg dose per 1-mL vial. How many milliliters of the medication should the patient receive?

A. 2.5 mL
B. 2 mL
C. 3 mL
D. 1 mL

Correct answer: A

Rationale: To determine the amount of medication the patient should receive, divide the prescribed dose by the dose per mL in the vial. In this case, 5 mg ÷ 2 mg/mL = 2.5 mL. Therefore, the patient should receive 2.5 mL of the medication. Choice B (2 mL) is incorrect because it does not reflect the correct calculation. Choice C (3 mL) is incorrect as it is higher than the actual amount calculated. Choice D (1 mL) is incorrect as it is lower than the actual amount calculated.

2. Ratio and proportion 1.2:x=14:42.

A. 2
B. 0
C. 1
D. 3

Correct answer: D

Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 =3.6

3. How many ounces are in 4 quarts?

A. 64 ounces
B. 128 ounces
C. 32 ounces
D. 16 ounces

Correct answer: B

Rationale: The correct answer is B: 128 ounces. There are 32 ounces in a quart, so when you have 4 quarts, you multiply 4 by 32 to get the total number of ounces, which equals 128. Choices A, C, and D are incorrect because they do not reflect the correct conversion from quarts to ounces.

4. Multiply 12 by 15 and express the result as a decimal:

A. 0.0018
B. 0.018
C. 0.18
D. 1.8

Correct answer: D

Rationale: To find the product of 12 and 15, you simply multiply them together. 12 multiplied by 15 equals 180. To express 180 as a decimal, you divide by 100. Therefore, the correct answer is 1.8. Choices A, B, and C are incorrect as they represent values that are not the correct result of multiplying 12 by 15 and converting it to a decimal.

5. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

A. 125 cu cm
B. 200 cu cm
C. 275 cu cm
D. 350 cu cm

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.