ASVAB Math Knowledge Practice Test 517639 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

The dimensions of this trapezoid are a = 6, b = 4, c = 7, d = 9, and h = 4. What is the area?

51% Answer Correctly
14
35
26
10\(\frac{1}{2}\)

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)(4)
a = ½(13)(4)
a = ½(52) = \( \frac{52}{2} \)
a = 26


2

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

54% Answer Correctly

π r2h

2(π r2) + 2π rh

4π r2

π r2h2


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.


3

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

acute, obtuse

supplementary, vertical

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

The dimensions of this cube are height (h) = 6, length (l) = 8, and width (w) = 2. What is the volume?

83% Answer Correctly
392
12
96
112

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 6 x 8 x 2
v = 96


5

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

slope

y-intercept

x-intercept

\({\Delta y \over \Delta x}\)


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.