ASVAB Math Knowledge Practice Test 521935 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.74
Score	0%	55%

Review

The dimensions of this trapezoid are a = 5, b = 4, c = 7, d = 9, and h = 3. What is the area?

51% Answer Correctly

	24
	19\(\frac{1}{2}\)
	18
	6

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 9)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)

If the base of this triangle is 3 and the height is 8, what is the area?

59% Answer Correctly

	42
	84\(\frac{1}{2}\)
	12
	90

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 8 = \( \frac{24}{2} \) = 12

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

78% Answer Correctly

	a = π d²
	a = π d
	a = π r
	a = π r²

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.

The endpoints of this line segment are at (-2, -9) and (2, 1). What is the slope-intercept equation for this line?

41% Answer Correctly

	y = 1\(\frac{1}{2}\)x - 2
	y = 2\(\frac{1}{2}\)x - 4
	y = -2\(\frac{1}{2}\)x - 1
	y = -x - 4

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -9) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-9.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 2\(\frac{1}{2}\)x - 4

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

	midpoints
	intersects
	bisects
	trisects

Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.