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  4. ASVAB Section 6: Mathematics Knowledge

Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps
ASVAB Section Six : Mathematics Knowledge Questions 111–115 (page: 24)

Updated On: 9-Feb-2026
Page 24 of 47
PDF with 227 Questions

What is the value of (0.1)3?

  1. 0.3
  2. 0.003
  3. 0.1
  4. 0.001

Answer(s): D

Explanation:

The exponent in (0.1)3 means you use 0.1 as a multiplier 3 times. (0.1)3 = (0.1) (0.1) (0.1) = 0.001
When multiplying decimals, count off one decimal place in the answer for each decimal place in the numbers you multiply.



What is the area of this shape?

  1. 1/2bh
  2. a2 + b2
  3. abc
  4. bh

Answer(s): A

Explanation:

The area of a triangle is 1/2 × base × height. In this case, the base is b and the height is h.



How many different combinations of shirts and ties are possible if you have 4 shirts and 5 ties?

  1. 120
  2. 9
  3. 30
  4. 20

Answer(s): D

Explanation:

With each of the 4 shirts you can wear one of the 5 ties, so the total number of combinations is 4 × 5 = 20



What is the value of (+2)( −5x + 3)( −3)?

  1. +90
  2. +60
  3. −13
  4. −3

Answer(s): A

Explanation:

To find the product of more than two numbers, work on only two numbers at a time. If both of these numbers have plus signs (+), their product has a plus sign, to both have minus signs (−), their product has a plus (not a minus) sign. Bui if their signs are different, the product has a minus sign.
(+2) (−5) (+3) (−3)
= (−10) (+3) (−3)
= (−30) (−3)
= +90



Solve for x:
x2 = 3x + 10.

  1. x = 3; x = 10
  2. x = −3; x = −10
  3. x = −2; x = 5
  4. x = 2; x = −5

Answer(s): C

Explanation:

To solve the equation x2 = 3x + 10, turn it into an equation equal to 0, find the two factors of the new equation, and then set each factor equal to 0, to solve for x.
Step 1: Move all expressions to one side of the equal sign. Change the signs of terms that are moved.
x2 − 3x - 10 = 0
Step 2: Find the two factors that you would multiply to produce this polynomial. Do this one expression at a time. What gives you x2? The answer is x times x. Therefore, place an x at the beginning of each factor. (x)(x)
Next find the two numbers you would multiply to get 10. The numbers could be 10 and 1, or 5 and 2, but remember that the two numbers also have to produce 3, the middle term in the polynomial. The difference between 5 and 2 is 3. Therefore 5 and 2 are the numbers that complete the factors
(x − 5)(x + 2)
Now decide the signs that belong in each factor. The appearance of −10 in the polynomial means that 5 and 2 have different signs. The -3x in the polynomial indicates that 5 (the larger number) has the minus sign, and that 2 has a plus sign. Thus
(x − 5)(x + 2)
Step 3: Set each factor equal to zero and solve the equations.
x − 5 = 0x + 2 = 0
x = 5
x = −2



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