ASVAB Math Knowledge Practice Test 739192 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

If side a = 9, side b = 5, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{85} \)
\( \sqrt{106} \)
\( \sqrt{45} \)
\( \sqrt{90} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 92 + 52
c2 = 81 + 25
c2 = 106
c = \( \sqrt{106} \)


2

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

3

5

2

4


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

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

53% Answer Correctly

4π r2

π r2h2

2(π r2) + 2π rh

π r2h


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.


4

A right angle measures:

90% Answer Correctly

360°

180°

90°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

Simplify (y - 4)(y - 4)

63% Answer Correctly
y2 + 8y + 16
y2 - 16
34
y2 - 8y + 16

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 4)(y - 4)
(y x y) + (y x -4) + (-4 x y) + (-4 x -4)
y2 - 4y - 4y + 16
y2 - 8y + 16