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Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, about how far can he drive on a full tank?
- A. 400 miles
- B. 100 miles
- C. 320 miles
- D. 41 miles
Correct Answer: A
Rationale: To determine the distance Roger can drive on a full tank, you need to multiply the miles per gallon by the tank capacity. Since his car gets 25 miles per gallon and the tank holds 16 gallons, the calculation would be: 25 miles/gallon * 16 gallons = 400 miles. Therefore, Roger can drive approximately 400 miles on a full tank of gas.
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Convert the percentage to a decimal: 126% =
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 126% = 1.26 as a decimal. When you see 126%, it signifies having 126 parts out of 100, which is equivalent to 1.26 as a decimal. Remember that percentages represent parts out of 100, so converting to a decimal entails dividing by 100, resulting in the shift of the decimal point two places to the left.
Convert the decimal to a percent: 0.64 =
- A. 0.64%
- B. 64%
- C. 6.40%
- D. 0.06%
Correct Answer: B
Rationale: To convert a decimal to a percent, you multiply by 100. In this case, 0.64 * 100 = 64%. Therefore, the correct answer is 64%. Remember that when converting a decimal to a percent, the decimal point moves two places to the right, and you add the percentage symbol (%) at the end. It's important to understand this concept as it is frequently used in various mathematical calculations and real-world applications.
Subtract 12 - 7 4/5.
- A. 5 & 1/5
- B. 4 & 4/5
- C. 5 & 4/5
- D. 4 & 1/5
Correct Answer: D
Rationale: To subtract mixed numbers, align the whole numbers and fractions. First, subtract the whole numbers: 12 - 7 = 5. Then, subtract the fractions: 0/5 - 4/5 = -4/5. Combine the results: 5 - 4/5 = 4 & 1/5. Therefore, the correct answer is 4 & 1/5 (Choice D).
Express 0.608 as a percent.
- A. 6.08%
- B. 0.61%
- C. 608%
- D. 60.80%
Correct Answer: D
Rationale: To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
Seven girls each have seven cats. How many legs are there in the group?
- A. 210
- B. 63
- C. 186
- D. 49
Correct Answer: A
Rationale: To find the total number of legs, we multiply the number of girls by the number of legs each girl and cat has. 7 girls x (2 legs per girl + 4 legs per cat) x 7 cats = 7 x (2+4) x 7 = 7 x 6 x 7 = 210 legs.
Choice A is correct because it correctly calculates the total number of legs.
Choice B is incorrect as it only considers the girls' legs.
Choice C is incorrect as it does not account for the cats' legs.
Choice D is incorrect as it only considers the number of cats.