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  4. ASVAB Section 6: Mathematics Knowledge

Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps
ASVAB Section Six : Mathematics Knowledge Questions 106–110 (page: 23)

Updated On: 9-Feb-2026
Page 23 of 47
PDF with 227 Questions

One of the equal angles of an isosceles triangle is 40 degrees. What is the angle opposite the unequal side?

  1. 40 degrees
  2. 90 degrees
  3. 100 degrees
  4. 140 degrees

Answer(s): C

Explanation:

In an isosceles triangle, two of the sides are equal. This means that the angles opposite them are equal, too. If one is 40 degrees, then so is the other. To find the angle opposite the unequal side, begin by adding the equal angles.
40 + 40 = 80 degrees
To find the third angle, subtract this amount from 180 (the number of degrees in any triangle) 180 − 80 = 100 degrees (third angle).



If you divide 24x3 + 16x2 − 8x by 8x, how many x's will be there in the quotient?

  1. 0
  2. 5
  3. 2
  4. −1

Answer(s): C

Explanation:

An easy way to do this example is to break it into three examples, dividing each by 8x. Divide the numbers first and then the letters. However, to divide the exponents of x, just find the difference between them. (Thus, x3 ÷ x
= x(3-1) = x2) 24x3/8x + 16x2/8x − 8x/8x = 3x2 + 2x − 1
Since the question asks only how many x's there are in the quotient (not how many x2's), the answer is 2.



A room is 19 feet long, 10 feet wide, and 8 feet high.
If you want to paint the walls and ceiling, how many square feet of surface will you have to cover with paint?

  1. 232 square feet
  2. 422 square feet
  3. 464 square feet
  4. 654 square feet

Answer(s): D

Explanation:

First, find the area (surface) of the ceiling. Since it is opposite the floor, it has the same length and width A = lw). 19 feet x 10 feet = 190 square feet (ceiling).
Next find the combined area of two matching (opposite) walls. Start with the walls formed by the length and height of the room. (Clear the decimal in the divisor.) 19 feet × 8 feet = 152 square feet (first wall). 152 feet × 2 = 304 square feet (matching walls).
Then find the area of the walls formed by the width and height of the room. 10 feet × 8 feet = 80 square feet (second wall). 80 feet × 2 = 160 square feet (matching walls).
Finally, combine all surfaces to be painted. 190 + 304 + 160 = 654 square feet



If a car traveled 200 miles at an average rate of speed of r miles per hour, the time it took for the trip could be written as ______.

  1. 200/r
  2. r/200
  3. 200r
  4. r/60

Answer(s): A

Explanation:

The basic formula for travel is "distance equals rate multiplied by time," or D = rt. The car traveled 200 miles (D); therefore 200 =rt.
To solve for time, divide both sides of the equation by r. (You are undoing the multiplication.) 200/r = rt/rr200/r = t (time it took for trip)



An equilateral triangle has the same perimeter as a square whose side is 12 inches. What is the length of a side of the triangle?

  1. 9 inches
  2. 12 inches
  3. 18 inches
  4. 16 inches

Answer(s): D

Explanation:

The perimeter of a square is 4 times a side.
Therefore, the perimeter of this square is 4 × 12 inches or 48 inches. The equilateral triangle has the same perimeter as the square.
Since the 3 sides of an equilateral triangle are equal, divide by 3 to find the length of one side. (48 inches) ÷ 3 = 16 inches (length of one side).



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