HESI A2
HESI A2 Math Questions
Question 1 of 5
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?
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.
Question 2 of 5
Two buildings in downtown Chicago stand across the river. The first building is 1,700 feet tall and casts a shadow of 525 feet. If the second building is 1,450 feet tall, how long will its shadow be?
Correct Answer: C
Rationale:
To find the shadow of the second building, we use the ratio of heights to shadows: 1,700/525 = 1,450/x. Solving for x gives x = (525 1,450)/1,700 = 448.5.
Therefore, the shadow of the second building will be approximately 448.5 feet long.
Choice A (478 feet) is incorrect because it is not the result of the correct calculation.
Choice B (455 feet) is incorrect as it does not match the accurate answer obtained through the calculation.
Choice D (450 feet) is incorrect as it does not reflect the correct length of the shadow of the second building.
Question 3 of 5
If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?
Correct Answer: A
Rationale: If 2 workers can complete building one play set in 18 hours, it means one worker would take 36 hours to complete the same task. When the number of workers is doubled to 4, the time is halved, so 4 workers would take 18 hours to build one play set.
To build 3 play sets, the total time needed would be 3 times the time for one play set, which equals 54 hours.
Therefore, 4 workers can build 3 play sets in 27 hours, making choice A the correct answer.
Choices B, C, and D are incorrect because they do not account for the correct relationship between the number of workers and the time required to complete the task.
Question 4 of 5
Square: A garden bed has a side length of 8 meters. What is its perimeter?
Correct Answer: C
Rationale: The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal in length, the perimeter is calculated by multiplying the side length by 4. In this case, the side length of the square garden bed is 8 meters.
Therefore, the perimeter is 8m x 4 = 32m.
Choice A (16m) is incorrect as it represents only half of the perimeter.
Choice B (24m) is incorrect because it is the perimeter of a square with a side length of 6 meters, not 8 meters.
Choice D (64m) is incorrect as it represents the area of the square, not the perimeter.
Question 5 of 5
Convert 5 3/4 to a decimal. Round it to the nearest tenth.
Correct Answer: D
Rationale:
To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8.
Choice A, 5.75, is the exact conversion before rounding, so it is incorrect.
Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding.
Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation.
Therefore, the correct answer is 5.8.