GED Mathematical reasoning

Question 1

If a class has 10 men and 14 women, what is the ratio of men to the class?

Accepted Answer

10:24</label></li>

Answer

10:14</label></li>

Answer

14:10</label></li>

Answer

14:24</label></li>

Question 2

If rope costs $3.20 per yard, or $0.15 per inch, which is the better deal?

NOTE: 1 yard equals 3 feet equals 36 inches

Accepted Answer

$3.20 per yard

Answer

15 cents per inch

Answer

Both are the same.

Answer

Information provided is not enough to determine an answer.

Question 3

Which of the following ratio pairs forms a proportion?

Accepted Answer

¹⁷/₂₀=⁵¹/₆₀

Answer

³/₅=¹⁵/₂₆

Answer

³/₈=⁶⁵/₁₆₀

Answer

⁴/₇=¹²/₂₈

Question 4

The line connecting points (3,-6) and (-9,2) has slope:

Accepted Answer

-2/3</label></li>

Answer

2/3</label></li>

Answer

-⁸/₁₀

Answer

8/12</label></li>

Question 5

>A line with the coordinates (7,y) and (-2,-4) has slope ³/₄. What is the value of y?

Accepted Answer

2.75</label></li>

Answer

6</label></li>

Answer

-6</label></li>

Answer

-2.75</label></li>

Question 6

Solve for b:

a = 14
b = ?
c = 50

Accepted Answer

b=48</label></li>

Answer

b=44</label></li>

Answer

b=50</label></li>

Answer

b=-48</label></li>

Question 7

Two supplementary angles have measures of 9x degrees and 3x degrees. What is the measure of the longer angle?

Accepted Answer

135 degrees

Answer

180 degrees

Answer

45 degrees</label></li>

Answer

15 degrees</label></li>

Question 8

Determine the coordinates for the midpoint of a segment with the following endpoints: (12,-8) and (8,-4).

Accepted Answer

(10,-6)</label></li>

Answer

(-10,6)</label></li>

Answer

(6,-10)</label></li>

Answer

(-6,-10)</label></li>

Question 9

A triangle has an area of 110 square inches and a base of 15 inches. Which answer best pinpoints the height?

Accepted Answer

14.66 inches

Answer

14 inches</label></li>

Answer

18 inches</label></li>

Answer

18.66 inches

Question 10

Scott must provide pricing quotes to prospective clients for his house cleaning business. By starting with a $25 base fee and adding $8 for each bathroom and $4 for each additional room, he calculates his price.

Which of the following best describes his price quotation formula if he uses P for the price, B for the bathroom, and R for the other rooms?

Accepted Answer

P = 25 + 8B + 4R

Answer

P = 25 + 12(BR)

Answer

P = (4)(8)(R + B) + 25

Answer

P = 25(4R + 8B)