ASVAB Math Knowledge Practice Test 3113 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

If angle a = 38° and angle b = 56° what is the length of angle c?

71% Answer Correctly
103°
86°
68°
96°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 56° = 86°


2

Solve for z:
-z - 8 = 9 + 4z

59% Answer Correctly
-3\(\frac{2}{5}\)
-1\(\frac{1}{6}\)
\(\frac{4}{5}\)
\(\frac{1}{3}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-z - 8 = 9 + 4z
-z = 9 + 4z + 8
-z - 4z = 9 + 8
-5z = 17
z = \( \frac{17}{-5} \)
z = -3\(\frac{2}{5}\)


3

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

quadratic

binomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r2

c = π r

c = π d

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides

the area is length x width

the lengths of all sides are equal


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).