A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 5 inches, what is the actual length of the built living room?

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HESI A2

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Question 1 of 5

A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 5 inches, what is the actual length of the built living room?

Correct Answer: C

Rationale: Since the scale of the plan is 1:40, this means that 1 inch on the plan represents 40 inches in reality. Therefore, the actual length of the living room can be calculated as 5 inches on the plan multiplied by the scale factor of 40, which equals 200 inches. Converting 200 inches to feet gives us 15 feet as the actual length of the built living room. Choice A (45 feet) is incorrect because it miscalculates the conversion from inches to feet. Choice B (25 feet) is incorrect as it does not consider the scale factor provided. Choice D (12 feet) is incorrect as it does not apply the correct scale factor to convert the plan's measurements to reality.

Question 2 of 5

Add and simplify: 4â…” + 6½ =

Correct Answer: C

Rationale: To add 4â…” and 6½, we first need to convert the fractions to have the same denominator. Converting 4â…” to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9â…™. Therefore, the correct answer is 9â…™. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.

Question 3 of 5

Tamison bought 20 stamps for 29¢ each and 40 stamps for 42¢ each. If she gave the postal worker $25, how much change did she receive?

Correct Answer: A

Rationale: First, calculate the total cost of the 20 stamps bought at 29¢ each: 20 stamps * 29¢ = $5.80. Next, calculate the total cost of the 40 stamps bought at 42¢ each: 40 stamps * 42¢ = $16.80. The total cost of all stamps is $5.80 + $16.80 = $22.60. If Tamison gave $25 to the postal worker, her change is $25 - $22.60 = $2.40. Therefore, the correct answer is A. Option B, C, and D are incorrect as they do not reflect the correct change Tamison received after buying the stamps.

Question 4 of 5

Convert this military time to regular time: 0705 hours.

Correct Answer: A

Rationale: In military time, 0705 hours translates to 7:05 A.M. Military time follows a 24-hour clock format, so there is no change from A.M. to P.M. like in regular time. Choice B (7:05 P.M.) is incorrect as 0705 hours is in the morning. Choices C (5:07 A.M.) and D (5:07 P.M.) are incorrect due to the incorrect order of hours and minutes.

Question 5 of 5

Teresa began collecting baseball cards exactly 8 months ago, and in that time, she has collected 144 cards. On average, how many baseball cards has she collected per month?

Correct Answer: C

Rationale: Teresa collected 144 baseball cards in 8 months. To find the average number of cards collected per month, we divide the total number of cards by the total months: 144 cards · 8 months = 18 cards per month. Therefore, on average, Teresa has collected 18 baseball cards per month. Choice A (12), Choice B (16), and Choice D (22) are incorrect as they do not match the correct calculation based on the information provided in the question.

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