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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.
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Ratio and Proportion 15:1000::x:100 = ?
- A. 1.5
- B. 2
- C. 1
- D. 1.2
Correct Answer: C
Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.
Subtract: 9/10 - 2/5
- A. 1/2
- B. 3/10
- C. 4/10
- D. 1/4
Correct Answer: A
Rationale: To subtract fractions, you need a common denominator. In this case, convert 2/5 to an equivalent fraction with a denominator of 10, giving you 4/10. Now subtract: 9/10 - 4/10 = 5/10. Simplifying 5/10 to its lowest terms, you get 1/2. Therefore, the correct answer is 1/2, which represents the result of subtracting 2/5 from 9/10.
Multiply and reduce to lowest term: (2 x 5/8)
- A. 3\4
- B. 10\8
- C. 5\8
- D. 1 1/4
Correct Answer: D
Rationale: To multiply (2 x 5/8), first multiply the whole number 2 by the numerator 5 to get 10. Then, multiply the result by the denominator 8 to get 10/8. Simplify 10/8 to 1 1/4 by dividing the numerator by the denominator, resulting in 1 whole and 1/4 left over. Therefore, the correct answer is D.
Choice A (3/4) is incorrect because the multiplication result is not 3/4. Choice B (10/8) is incorrect as it represents the result before reducing to lowest terms. Choice C (5/8) is incorrect as it only represents the initial fraction being multiplied, not the final result after multiplication and simplification.
In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?
- A. 1
- B. 9
- C. 12
- D. 20
Correct Answer: B
Rationale: If two-thirds of the students are boys, then one-third must be girls. To find the number of girls, we calculate one-third of the total number of students. Since the total number of students is 27, one-third of 27 is 9. Therefore, there are 9 girls in Mr. Garcia's class.
Round to the nearest whole number. Change the fraction to a percent: 9/13.
- A. 33%
- B. 69%
- C. 72%
- D. 78%
Correct Answer: B
Rationale: To convert a fraction to a percentage, you divide the numerator by the denominator, then multiply by 100. For the fraction 9/13, (9/13) * 100 = 69%. When rounded to the nearest whole number, 69% remains as 69%. Therefore, the correct answer is 69% (Choice B).