ASVAB Math Knowledge Practice Test 68036 Results

Your Results Global Average
Questions 5 5
Correct 0 2.71
Score 0% 54%

Review

1

If side x = 8cm, side y = 8cm, and side z = 13cm what is the perimeter of this triangle?

84% Answer Correctly
26cm
30cm
27cm
29cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 8cm + 8cm + 13cm = 29cm


2

On this circle, line segment CD is the:

46% Answer Correctly

chord

radius

circumference

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

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

51% Answer Correctly

quadrilateral

trapezoid

rhombus

triangle


Solution

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


4

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

36% Answer Correctly

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

all acute angles equal each other

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

same-side interior angles are complementary and 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

Factor y2 + 3y + 2

54% Answer Correctly
(y - 1)(y - 2)
(y - 1)(y + 2)
(y + 1)(y + 2)
(y + 1)(y - 2)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 2 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are 1 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 3y + 2
y2 + (1 + 2)y + (1 x 2)
(y + 1)(y + 2)