ASVAB Math Knowledge Practice Test 705555 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

π r2h2

4π r2

2(π r2) + 2π rh


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


2

If angle a = 21° and angle b = 31° what is the length of angle c?

71% Answer Correctly
102°
128°
114°
103°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 31° = 128°


3

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

rhombus

quadrilateral

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


4

If BD = 15 and AD = 18, AB = ?

76% Answer Correctly
7
15
3
17

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 18 - 15
AB = 3


5

If the area of this square is 25, what is the length of one of the diagonals?

68% Answer Correctly
6\( \sqrt{2} \)
7\( \sqrt{2} \)
5\( \sqrt{2} \)
\( \sqrt{2} \)

Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{25} \) = 5

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 52 + 52
c2 = 50
c = \( \sqrt{50} \) = \( \sqrt{25 x 2} \) = \( \sqrt{25} \) \( \sqrt{2} \)
c = 5\( \sqrt{2} \)