a farmers production statistics show it takes 2 chickens to produce 6 eggs in 24 hours how many chickens are needed to produce 24 eggs in 24 hours
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HESI A2

Math HESI A2 Practice Test

1. How many chickens are needed to produce 24 eggs in 24 hours if it takes 2 chickens to produce 6 eggs in 24 hours?

Correct answer: A

Rationale: To produce 24 eggs in 24 hours, 4 times the number of chickens needed to produce 6 eggs is required. Since it takes 2 chickens to produce 6 eggs, 8 chickens are needed to produce 24 eggs in the same time frame. Choice B, 12 chickens, is incorrect because it doesn't consider the proportionality between chickens and eggs. Choice C, 18 chickens, is incorrect as it overestimates the number of chickens needed. Choice D, 6 chickens, is incorrect as it doesn't account for the increased number of eggs required.

2. Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres?

Correct answer: A

Rationale: To find the number of plots, divide 56 acres by 0.25 acres per plot: 56 ÷ 0.25 = 224 plots. Therefore, Stewart will have 224 plots of land after dividing the 56 acres. The correct answer is A because dividing 56 acres by 0.25 acres per plot gives 224 plots, not 220, 210, or 230 plots.

3. 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.

4. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

5. Multiply: 22 × 75 = and express the answer in decimal form.

Correct answer: D

Rationale: The correct answer is D: 16.5. To find the product of 22 and 75, you multiply the two numbers together. Therefore, 22 × 75 = 1650, which is correctly represented as 16.5 in decimal form. Choices A, B, and C are incorrect as they do not reflect the correct decimal form of the product of 22 and 75. Choice A, 0.00165, is incorrect as it is a very small value that does not match the result of multiplying 22 and 75. Choice B, 0.0165, is also incorrect as it is one tenth of the correct answer. Choice C, 0.165, is incorrect as it is one hundredth of the correct answer. Therefore, the only correct representation in decimal form for the product of 22 and 75 is 16.5.

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