GED Mathematical reasoning 3

Question 1

A great circle of a sphere lies on its surface and contains its center. What is the circumference of a great circle of a sphere that has a surface area that measures 1,476 square centimeters?

NOTE:

Π (or Pi) equals 3.14.

(math4)

Accepted Answer

Approximately 68.1

Answer

First, we use the given surface area of the sphere (1476 cm²) and the formula for the surface area of a sphere (SA = 4πr²) to solve for the radius (r). Once the radius is found (approximately 10.84 cm), we use it in the formula for the circumference of a circle (C = 2πr). Plugging in the values and using π ≈ 3.14, we calculate the circumference to be approximately 68.1 cm.

Question 2

What is the mean of this data set?

8, 47, 13, 17, 26, 32

Accepted Answer

23.83</span></label></li>

Answer

The mean of a data set is calculated by summing all the values in the set and then dividing by the total number of values. For the given data set (8, 47, 13, 17, 26, 32), the sum is 143. Since there are 6 values, dividing 143 by 6 gives a mean of approximately 23.83.

Question 3

What is the median of this data set?

17, 42, 53, 97, 102, 82

Accepted Answer

67.5</span></label></li>

Answer

To find the median, first arrange the data set in ascending order: 17, 42, 53, 82, 97, 102. Since there is an even number of values (6), the median is the average of the two middle numbers. The two middle numbers are 53 and 82, and their average is (53 + 82) / 2 = 67.5.

Question 4

There are three books sold in different quantities. A $10 book sells six copies. A $5 book sells five copies. A $2 book sells three copies. What is the median price of all the books sold?

Accepted Answer

$5.00</span></label></li>

Answer

To find the median price, we first list all the individual prices of the books sold in ascending order. There are 3 books at $2, 5 books at $5, and 6 books at $10, totaling 14 books. Since there's an even number of books, the median is the average of the 7th and 8th values in the ordered list. Both the 7th and 8th values are $5, making the median price $5.00.

Question 5

Identify mode for the following data:

2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 11, 13, 12, 9, 9, 9, 2, 7, 7, 7

Accepted Answer

7</span></label></li>

Answer

The mode of a data set is the value that appears most frequently. By counting the occurrences of each number in the given data set, we find that the number 7 appears 9 times, which is more than any other number. Therefore, 7 is the mode.

GED Practice Test

GED Practice Test

GED Mathematical reasoning 3