If a die is rolled, what is the probability of getting an odd number?
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
When a fair six-sided die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 3/6 or 1/2, equivalent to 50%. Therefore, the correct answer is 50%. This means that when rolling a fair six-sided die, there is a 50% chance of getting an odd number.
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Question 2
What is 5 & 3/4 divided by 1/2 when reduced?
Your Answer: Option(s)
Correct Answer: Option(s) C
Rationale
To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.
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Question 3
What is the result of adding 5 1/3 + 3 1/2?
Your Answer: Option(s)
Correct Answer: Option(s) C
Rationale
To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.
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Question 4
Which of the following decimals is the largest?
Your Answer: Option(s)
Correct Answer: Option(s) D
Rationale
To determine the largest decimal among the options, you need to compare them by looking at the digits after the decimal point. When comparing 0.6, 0.667, 0.0688, and 0.68, consider that 0.6 is equivalent to 0.600, 0.667 remains 0.667, 0.0688 is already in its most precise form, and 0.68 is the same as 0.680. By comparing them, you can see that 0.68 is the largest decimal among the options provided. Remember, when comparing decimals, it's important to line up the decimal points to make accurate comparisons.
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Question 5
Convert 5 3/4 to a decimal. Round to the nearest tenth.
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
To convert the mixed number 5 3/4 to a decimal, divide the numerator by the denominator. In this case, 3 divided by 4 equals 0.75. Therefore, 5 3/4 can be written as 5.75 in decimal form. Rounding 5.75 to the nearest tenth yields 5.8, not 5.7 or 6. Hence, the correct answer is 5.75 since it represents 5 3/4 as a decimal rounded to the nearest tenth.
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