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In a scale drawing for a toy rocket, 1 inch = 6 inches. If the rocket is 6 inches tall on the drawing, how tall will it be in reality?
- A. 1 foot
- B. 6 feet
- C. 1 yard
- D. 2 yards
Correct Answer: B
Rationale: In the scale drawing, 1 inch represents 6 inches in reality. If the rocket is 6 inches tall on the drawing, the actual height of the rocket would be 6 inches x 6 = 36 inches, which is equal to 3 feet or 1 yard. Therefore, the correct answer is 6 feet. Choice A is incorrect because the actual height is more than 1 foot. Choice C is incorrect as 36 inches is equivalent to 1 yard. Choice D is incorrect because 36 inches is not equal to 2 yards.
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Divide: 5,117 · 31 =
- A. 109 r3
- B. 115 r14
- C. 133 r5
- D. 165 r2
Correct Answer: D
Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.
A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?
- A. 12 m by 10 m
- B. 6 m by 5 m
- C. 5 m by 2 m
- D. 4 m by 3 m
Correct Answer: B
Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.
What is 70% of 110?
- A. 77
- B. 79
- C. 81
- D. 83
Correct Answer: C
Rationale: To find 70% of 110, you need to multiply 110 by 0.7. Therefore, 110 * 0.7 = 77. The correct answer is 81, not 77. Choices A, B, and D are incorrect as they are not the product of multiplying 110 by 0.7, which is the correct method for finding 70% of 110.
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?
- A. 12
- B. 16
- C. 18
- D. 22
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.
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?
- A. 45 feet
- B. 25 feet
- C. 15 feet
- D. 12 feet
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.