ASVAB Math Knowledge Practice Test 136891 Results

Your Results Global Average
Questions 5 5
Correct 0 2.64
Score 0% 53%

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 3. What is the surface area?

48% Answer Correctly
192π
30π
60π
168π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 7)
sa = 2π(9) + 2π(21)
sa = (2 x 9)π + (2 x 21)π
sa = 18π + 42π
sa = 60π


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

quadratic

binomial

monomial

polynomial


Solution

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


3

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

24% Answer Correctly

c = π r

c = π r2

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.


4

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other

all acute angles equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


5

If angle a = 66° and angle b = 32° what is the length of angle c?

71% Answer Correctly
82°
110°
89°
83°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 66° - 32° = 82°