ASVAB Math Knowledge Practice Test 283877 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

This diagram represents two parallel lines with a transversal. If z° = 17, what is the value of c°?

73% Answer Correctly
17
143
145
155

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with z° = 17, the value of c° is 17.


2

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

4

5

2

3


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


3

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

24% Answer Correctly

c = π d2

c = π r

c = π r2

c = π d


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

The dimensions of this cylinder are height (h) = 4 and radius (r) = 9. What is the surface area?

48% Answer Correctly
234π
40π
224π
36π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 4)
sa = 2π(81) + 2π(36)
sa = (2 x 81)π + (2 x 36)π
sa = 162π + 72π
sa = 234π


5

What is the circumference of a circle with a diameter of 11?

71% Answer Correctly
16π
11π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 11π