1.
Correct Answer
A. 1/4
Explanation
The given image shows a fraction line with three fractions written below it. The first fraction is 1/4, the second fraction is 2/8, and the third fraction is 1/8. The correct answer is 1/4 because it is the only fraction that is equivalent to 1/4. The second fraction, 2/8, can be simplified to 1/4 by dividing both the numerator and denominator by 2. The third fraction, 1/8, is not equivalent to 1/4 as it has a smaller denominator. Therefore, the correct answer is 1/4.
2.
What is the equivalent of 36 inches in feet?
Correct Answer
B. 3 feet
Explanation
To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in 1 foot. For example, when you divide 36 inches by 12, you get 3 feet. This method allows you to easily convert measurements between inches and feet, facilitating accurate calculations in various contexts.
3.
If a rectangle measures 24 inches in length and 18 inches in width, what is its perimeter in inches?
Correct Answer
C. 84 inches
Explanation
In a rectangle, the perimeter is found by adding the lengths of all its sides. For a rectangle with two sides measuring 24 inches and two sides measuring 18 inches, the perimeter equals 2 times 24 plus 2 times 18, resulting in a perimeter of 84 inches. This calculation helps determine the boundary length for fencing or framing purposes.
4.
_{Image Created By: Pete Twork}
Correct Answer
B. 5/8
Explanation
The image shows three fractions: 9/16, 5/8, and 1/2. The correct answer is 5/8. By comparing the three fractions, it can be observed that 5/8 is the largest fraction among the three. Therefore, the correct answer is 5/8.
5.
_{Image Created By: Pete Twork}
Correct Answer
C. 1-1/8
Explanation
The given expression is a subtraction of two fractions. To subtract fractions, we need a common denominator. In this case, the common denominator is 8. So, we convert 2/8 to 1/4 and 1/16 to 1/8 by multiplying the numerator and denominator by 2 and 4 respectively. Now, we can subtract the fractions by subtracting the numerators while keeping the denominator the same. The result is 1-1/8.
6.
_{Image Created By: Pete Twork}
Correct Answer
A. 1-7/8
Explanation
The given fractions are 1-7/8, 1-6/8, and 1-15/16. The correct answer is 1-7/8. This means that the whole number part is 1 and the fractional part is 7/8. The other fractions are not equal to 1-7/8.
7.
_{Image Created By: Pete Twork}
Correct Answer
B. 2-7/8
Explanation
The given answer, 2-7/8, is the correct representation of the mixed number that is closest to the given decimal, 2-15/16. It is obtained by rounding down the decimal part, 15/16, to the nearest fraction with a denominator of 8, which is 7/8. The whole number part, 2, remains the same. Therefore, the correct answer is 2-7/8.
8.
A person's height is 72 inches. What is their height in feet and inches?
Correct Answer
A. 6 feet 0 inches
Explanation
To convert inches to feet, divide the number of inches by 12, as 1 foot equals 12 inches. Thus, dividing 72 inches by 12 yields a quotient of 6 feet, with no remainder. Consequently, the length is expressed as 6 feet, and there are no remaining inches.
9.
What is 5 feet 6 inches in inches?
Correct Answer
C. 66 inches
Explanation
To convert feet and inches to inches, multiply the number of feet by 12 to get the inches equivalent, then add the remaining inches. Thus, for 5 feet and 6 inches, it's 5 feet x 12 inches/foot + 6 inches, resulting in 60 inches + 6 inches, totaling 66 inches.
10.
A rope measures 9 feet 8 inches. What is its length in inches?
Correct Answer
B. 116 inches
Explanation
To convert feet to inches, multiply the number of feet by 12 to get the inches equivalent, then add the remaining inches. Thus, for 9 feet and 8 inches, it's 9 feet x 12 inches/foot + 8 inches, resulting in 108 inches + 8 inches, totaling 116 inches.