how many meters are in 3000 millimeters
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HESI A2

HESI A2 Math Practice Test 2023

1. How many meters are in 3000 millimeters?

Correct answer: A

Rationale: 1 meter is equal to 1000 millimeters. Therefore, to convert 3000 millimeters to meters, we divide by 1000. 3000 millimeters / 1000 = 3 meters. Choice A, '3 meters,' is the correct answer. Choice B, '30 meters,' is incorrect because it represents a miscalculation of multiplying instead of dividing. Choice C, '0.3 meters,' is incorrect as it is the result of a decimal error. Choice D, '300 meters,' is incorrect as it is a result of not converting millimeters to meters correctly.

2. Subtract 20.7 - 13.4.

Correct answer: C

Rationale: The correct answer is 7.3. To subtract 13.4 from 20.7, you align the decimal points and subtract each place value: 0.7 - 0.4 = 0.3, and 2 - 1 = 1. Therefore, 20.7 - 13.4 = 7.3. Choices A, B, and D are incorrect because they do not provide the accurate result of this subtraction.

3. Convert 5/8 to a decimal.

Correct answer: A

Rationale: To convert 5/8 to a decimal, divide 5 by 8: 5 ÷ 8 = 0.625. The correct answer is A (0.625). Choice B (0.5) is incorrect because it represents 1/2. Choice C (0.4) is incorrect because it represents 2/5. Choice D (0.75) is incorrect because it represents 3/4.

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 decorative globe has a diameter of 25cm. What is its total surface area?

Correct answer: B

Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.

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