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HESI A2

HESI A2 Math 2024

1. If his current salary is $35,511 and he receives a 5% increase, what will his new salary be?

Correct answer: C

Rationale: To find the new salary after a 5% increase, you need to add 5% of the current salary to the current salary. 5% of $35,511 is $1,775.55. Adding this amount to the current salary gives a new salary of $37,286.55, which is not listed among the answer choices. The closest amount is $37,136.65, which is the correct answer. Choices A, B, and D are incorrect as they do not accurately reflect the new salary after a 5% increase.

2. Convert the percentage to a decimal: 38% =

Correct answer: A

Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 38% divided by 100 equals 0.38. Moving the decimal point two places to the left converts the percentage to a decimal. Choice B is incorrect because it incorrectly moves the decimal point one place to the left. Choice C is incorrect as it moves the decimal point three places to the left. Choice D is incorrect as it does not convert the percentage to a decimal.

3. Convert 1/5 to a decimal.

Correct answer: B

Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 1 ÷ 5 = 0.2. Therefore, the correct answer is B. Choice A (0.5) is incorrect because the decimal form of 1/5 is not 0.5. Choice C (1.5) is incorrect as it is the sum of 1 and 0.5, not the decimal form of 1/5. Choice D (0.15) is incorrect as it is the decimal form of 15/100, not 1/5.

4. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?

Correct answer: C

Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.

5. If a helicopter flies at about 80 mph, how long will it take to travel 140 miles?

Correct answer: D

Rationale: To calculate the time it takes to travel a certain distance, we can use the formula Time = Distance / Speed. In this case, the helicopter is flying at 80 mph and needs to travel 140 miles. Therefore, Time = 140 miles / 80 mph = 1.75 hours or 1 hour and 45 minutes. So, the correct answer is D. 1 hour 45 minutes. Choices A, B, and C are incorrect as they do not represent the accurate time it takes for the helicopter to cover the 140-mile distance at 80 mph.

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