ratio and proportion 0110x400
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HESI A2

HESI A2 Math Practice Test 2022

1. What is the value of x in the ratio and proportion 0.1:10=x:400?

Correct answer: B

Rationale: To solve the proportion 0.1:10=x:400, first, simplify the left side to 1:100. Then, set up the proportion as 1:100=x:400. Cross multiply to get x = 4. Therefore, the correct answer is B. Choice A (5) is incorrect because it does not match the calculated value of x. Choice C (50) is incorrect as it is not the result of solving the proportion provided. Choice D (25) is incorrect as it does not align with the correct calculation of x.

2. How many feet are in 6 meters?

Correct answer: D

Rationale: To convert meters to feet, you can use the conversion factor: 1 meter = 3.28084 feet. Therefore, for 6 meters: 6 × 3.28084 = 19.684 feet. Rounding to two decimal places, the answer is 19.68 feet. Choice D, 19.68 feet, is the correct conversion. Choice A, 1.83 feet, is incorrect as it seems to be a miscalculation. Choice B, 18.48 feet, is incorrect as it doesn't match the correct conversion. Choice C, 18.8 feet, is also incorrect as it is not the accurate conversion from 6 meters to feet.

3. What percent of 36 is 9?

Correct answer: D

Rationale: To find out what percent 9 is of 36, divide 9 by 36 and multiply by 100 to convert it to a percentage. So, (9/36) * 100 = 25%. This indicates that 9 is 25% of 36, not 10%. Choice A, 25%, is the result of calculating what percent 36 is of 9, not the other way around. Choices B and C are incorrect as they do not align with the calculated percentage.

4. How many kilograms are equivalent to 20 pounds?

Correct answer: A

Rationale: To convert pounds to kilograms, you need to multiply the number of pounds by 0.4536. Therefore, to find out how many kilograms are in 20 pounds, you would calculate 20 x 0.4536 = 9.072 kilograms, which is approximately 9 kilograms. Choice A is correct. Choice B (16 kilograms), Choice C (44 kilograms), and Choice D (3 kilograms) are all incorrect conversions of pounds to kilograms.

5. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?

Correct answer: C

Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.

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