To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
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Question 2
A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
To determine the total time taken to complete the 24-mile course, we sum the time taken for each set of 6 miles. The time taken for the first 6 miles is 1 hour, the second set of 6 miles took 1.2 hours, the third set took 1.5 hours, and the fourth set took 1.6 hours. Adding these times together: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to finish the 24-mile course.
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Question 3
Change 0.004 to a ratio.
Your Answer: Option(s)
Correct Answer: Option(s) C
Rationale
To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
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Question 4
A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
To convert the baby's weight from grams to pounds and ounces, divide the weight in grams by the number of grams in a pound (453.59). 3,459 grams · 453.59 grams per pound = 7.62 pounds. Since there are 16 ounces in a pound, multiply the decimal part (0.62) by 16 to get the additional ounces. 0.62 x 16 = 9.92, which rounds up to 10 ounces. Therefore, the infant's weight is 7 pounds and 10 ounces (7lbs 10oz).
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Question 5
How many meters are in 2 kilometers?
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
To convert kilometers to meters, you need to multiply by 1000 because there are 1000 meters in 1 kilometer. Therefore, 2 kilometers is equal to 2 x 1000 = 2000 meters. The correct answer is 2000 meters. This conversion is a fundamental mathematical operation used across different fields, such as science, engineering, and day-to-day measurements, to accurately convert between larger and smaller units of length.
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