divide 3 4

HESI A2

HESI A2 Math Practice Test

1. What is the result of dividing 3 by 4?

A. 5.75
B. 5.875
C. 6.25
D. 0.75

Correct answer: D

Rationale: To divide 3 by 4, we perform the division operation: 3 ÷ 4 = 0.75. The correct answer is 0.75 (D). Choices A, B, and C are incorrect because they do not result from dividing 3 by 4. Choice A (5.75) is the result of dividing 23 by 4, choice B (5.875) is the result of dividing 7 by 1.2, and choice C (6.25) is the result of multiplying 5 by 1.25.

2. What is 28% of 100?

A. 28
B. 20
C. 25
D. 30

Correct answer: A

Rationale: The correct answer is A: 28. To find 28% of 100, you multiply 0.28 (the decimal equivalent of 28%) by 100. This calculation results in 28. Therefore, 28% of 100 is 28. Choice B, 20, is incorrect as it represents 20% of 100. Choice C, 25, is incorrect as it represents 25% of 100. Choice D, 30, is incorrect as it represents 30% of 100.

3. Divide and simplify: 4⅛ ÷ 1½ =

A. 4½
B. 4¼
C. 2¾
D. 2¼

Correct answer: C

Rationale: To divide mixed numbers, we first convert them to improper fractions. Converting 4⅛ to an improper fraction gives us 33/8, and converting 1½ gives us 3/2. Dividing 33/8 by 3/2, we multiply the first fraction by the reciprocal of the second. This gives us (33/8) / (3/2) = (33/8) * (2/3) = 66/24 = 11/4, which simplifies to 2¾. Therefore, the correct answer is 2¾. Choices A, B, and D are incorrect as they do not represent the correct result of dividing 4⅛ by 1½.

4. 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.

5. A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?

A. 2 units
B. 3 units
C. 4 units
D. 5 units

Correct answer: B

Rationale: Rationale: 1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL. 2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units. 3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units. Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.