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  4. ASVAB Section 6: Mathematics Knowledge

Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps
ASVAB Section Six : Mathematics Knowledge Questions 101–105 (page: 22)

Updated On: 9-Feb-2026
Page 22 of 47
PDF with 227 Questions

What is the product of (z + 2) (2z − 3)?

  1. 3z − 6
  2. z + 4z − 3
  3. z2 + 4z − 6
  4. 2z2 + z − 6

Answer(s): D

Explanation:

An easy way to perform the multiplication is to do four separate multiplications. Then the procedure looks like ordinary multiplication in arithmetic.
Multiply (2z − 3) by 2 Multiply (2z − 3) by z
Add the partial products as you do in arithmetic.



The suburb of Hewitt has a private subdivision that has a pool in the shape of a quadrilateral.
If the subdivision wants to put a lifeguard on each side of the pool, how many lifeguards will be needed?

  1. eight
  2. six
  3. four
  4. three

Answer(s): C

Explanation:

Since a quadrilateral is a four-sided figure, the subdivision will need four lifeguards. A quadrilateral, by definition, has four sides.
Whether the sides are parallel – a parallelogram – or if all four sides are equal and all four angles are right angles – a square – there are still four sides, and, therefore, four lifeguards.



If you cut the largest possible circular tabletop from a square whose sides measure two feet each, how much wood is wasted? Use 3.14 for π.

  1. 1 square foot
  2. 1.86 square feet
  3. 5.86 square feet
  4. 0.86 square feet

Answer(s): D

Explanation:

Step 1: Find the area of the square. 2 feet × 2 feet = 4 square feet
Step 2: Find the area of the circle, using the formula A = πr2. (The radius equals half the diameter; the diameter of this circle is 2 feet – the same length as one side of the square.) 3.14 × r2 = 3.14 × 12 = 3.14 square feet Step 3: Subtract 3.14 square feet from 4 square feet to find the wood that is wasted, 0.86 square feet.



Solve for x:
3x + 2 = −13

  1. x = 13
  2. x = −41/3
  3. x = 8
  4. x = −5

Answer(s): D

Explanation:

Step 1: Subtract 2 from each side of the equation in order to eliminate -2 from the left side. (You are undoing the addition.)
3x + 2 − 2 = −13 − 2
3x = −15
Step 2: Now divide each side by 3 to find x. (You are undoing the multiplication.) 3x/3 = −15/3
x = −5



An artist sold 4 of his paintings. These represented 0.05 of all the artwork he had done. How many paintings had he made at that point?

  1. 100
  2. 80
  3. 50
  4. 20

Answer(s): B

Explanation:

Let p stand for the total number of paintings the artist has made. The 4 paintings he sold are equal to 0.05 of all his paintings. This can be expressed as an equation:
0.05p = 4
To solve for p, divide both sides by 0.05. This undoes the multiplication of 0.05 and p and gives you the value of p so that you know the total number of paintings the artist has painted.



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