a plan for a shed is drawn on a 110 scale if the roof of the real shed measures 4 feet by 5 feet what were the measurements on the plan
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Nursing Elites

HESI A2

HESI A2 Math Portion

1. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?

Correct answer: B

Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.

2. A syringe holds 3ml of liquid. How many syringes are needed to measure 15ml of liquid?

Correct answer: B

Rationale: Since each syringe holds 3ml of liquid, to measure 15ml of liquid, you would need to divide 15ml by 3ml/syringe. This calculation gives you 5 syringes needed to measure 15ml of liquid. Choice A (3 syringes) is incorrect because 3 syringes would only hold 9ml of liquid, not 15ml. Choice C (7 syringes) and Choice D (9 syringes) are incorrect as they would result in an excess amount of liquid, which is not needed.

3. A patient's temperature is measured as 38.5 degrees Celsius. What is their temperature in Fahrenheit?

Correct answer: D

Rationale: To convert Celsius to Fahrenheit, you can use the formula: °F = (°C × 9/5) + 32. Given that the patient's temperature is 38.5 degrees Celsius: °F = (38.5 × 9/5) + 32. °F = (69.3) + 32. °F = 101.3. Therefore, the patient's temperature in Fahrenheit is 104.9 degrees Fahrenheit (rounded to one decimal place). Choices A, B, and C are incorrect as they do not reflect the accurate conversion from Celsius to Fahrenheit based on the provided formula.

4. Divide: 11 ÷ 5 =

Correct answer: C

Rationale: To divide 11 by 5, you need to perform the division operation. 11 divided by 5 equals 2.2. Therefore, the correct answer is C. Choice A (1.424) and Choice B (1.622) are incorrect as they do not result from the division of 11 by 5. Choice D (2) is close but not accurate, as the exact result of 11 divided by 5 is 2.2.

5. A car travels at 60 mph for 5 hours. How far did it travel?

Correct answer: C

Rationale: To find the distance traveled, multiply the speed by the time: 60 mph × 5 hours = 300 miles. Choice A (360 miles) and Choice D (360 miles) are incorrect as they do not accurately calculate the distance based on the given speed and time. Choice B (240 miles) is also incorrect as it underestimates the distance traveled.

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