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HESI A2

Practice HESI A2 Math Test

1. What is the result of multiplying 7.2 by 0.34?

Correct answer: D

Rationale: To find the result of multiplying 7.2 by 0.34, multiply these two numbers: 7.2 x 0.34 = 2.448. The correct answer is 2.448. Choice A, 14.12, is incorrect as it seems to be the sum of the two numbers. Choice B, 0.234, is incorrect as it is much smaller than the expected result. Choice C, 7.64, is incorrect as it is the result of adding the two numbers rather than multiplying them.

2. A circular bandage has a diameter of 6cm. What is the area covered by the bandage (area of a circle = πr^2)?

Correct answer: C

Rationale: Rationale: - The formula for the area of a circle is A = πr^2, where r is the radius of the circle. - The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm. - Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2. - Therefore, the area covered by the bandage is 9π cm^2.

3. The physician ordered 16 mg of Ibuprofen per kg of body weight; on hand are 80 mg tablets. The child weighs 15 kg. How many tablets will you give?

Correct answer: B

Rationale: To calculate the total dose required for the child, multiply the child's weight (15 kg) by the prescribed dose per kg (16 mg/kg): 15 kg * 16 mg/kg = 240 mg. Next, determine how many tablets are needed to reach this total dose: 240 mg / 80 mg per tablet = 3 tablets. However, since you cannot give a fraction of a tablet, the correct answer is 2 tablets. Choice A is incorrect because it miscalculates the number of tablets needed. Choice C is incorrect because only 1 tablet is not sufficient to reach the required dose. Choice D is incorrect because you cannot give a partial tablet, so it has to be rounded down to the nearest whole tablet.

4. A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?

Correct answer: C

Rationale: To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately. For the sphere: - Radius = Diameter / 2 = 50 / 2 = 25 cm - Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm² For the cylinder: - Radius = Diameter / 2 = 30 / 2 = 15 cm - Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm² Total surface area = Surface area of sphere + Surface area of cylinder = 500π + 690π = 1190π cm² ≈ 5486 sq cm. Therefore, the correct answer is C. Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.

5. A child's toy block is a cube with side lengths of 5cm. What is its total surface area?

Correct answer: D

Rationale: The surface area of a cube is calculated using the formula: 6 * (side length)^2. Substituting the side length of 5cm into the formula, we get: 6 * (5cm)^2 = 6 * 25cm^2 = 150 sq cm. Therefore, the total surface area of the toy block is 150 sq cm. Choices A (25 sq cm), B (50 sq cm), and C (125 sq cm) are incorrect as they do not correctly calculate the total surface area of the cube.

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