farmer juan finds that it takes 2 chickens to produce 6 eggs in 24 hours how many chickens are needed to produce 24 eggs in 24 hours

HESI A2

HESI A2 Math

1. Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?

A. 48
B. 18
C. 8
D. 6

Correct answer: C

Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.

2. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

A. 125 cu cm
B. 200 cu cm
C. 275 cu cm
D. 350 cu cm

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.

3. In a bowling team consisting of 34 members, with 18 being male, if 4 females leave the team, what percent of the remaining members are male?

A. 50%
B. 60%
C. 70%
D. 55%

Correct answer: B

Rationale: After 4 females leave the team, there are 30 members remaining. Out of these, 18 are male. To find the percentage of male members, divide the number of male members (18) by the total number of remaining members (30) and multiply by 100. Percentage of male members = (18/30) * 100 = 60%. Therefore, 60% of the remaining members are male. Choices A, C, and D are incorrect as they do not reflect the accurate calculation based on the information provided in the question.

4. Convert the decimal to a percent: 0.64

A. 0.64%
B. 6.4%
C. 64%
D. 0.064%

Correct answer: C

Rationale: To convert a decimal to a percent, you multiply by 100 or move the decimal point two places to the right. In this case, 0.64 becomes 64%. Therefore, the correct answer is 64%. Choice A, 0.64%, is incorrect because it does not convert the decimal to a percent. Choice B, 6.4%, is incorrect as it mistakenly moves the decimal point only one place. Choice D, 0.064%, is incorrect as it moves the decimal point three places instead of two.

5. How many pounds are in 80 ounces?

A. 5 pounds
B. 6 pounds
C. 4 pounds
D. 3 pounds

Correct answer: A

Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find how many pounds are in 80 ounces, you divide 80 by 16, which equals 5 pounds. Thus, the correct answer is 5 pounds. Choice B, 6 pounds, is incorrect because it doesn't accurately reflect the conversion from ounces to pounds. Choice C, 4 pounds, and Choice D, 3 pounds, are also incorrect as they do not align with the correct conversion factor of 16 ounces to 1 pound.