ASVAB Math Knowledge Practice Test 461097 Results

Your Results Global Average
Questions 5 5
Correct 0 2.64
Score 0% 53%

Review

1

Which of the following statements about a parallelogram is not true?

49% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

the perimeter of a parallelogram is the sum of the lengths of all sides

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


2

The endpoints of this line segment are at (-2, 4) and (2, -4). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 1\(\frac{1}{2}\)x - 4
y = x + 4
y = 2x + 2
y = -2x + 0

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 0. 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, 4) and (2, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x + 0


3

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

51% Answer Correctly
24
178
450
222

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 2) + (2 x 2 x 2) + (2 x 2 x 2)
sa = (8) + (8) + (8)
sa = 24


4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c2 - a2

c - a

a2 - c2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


5

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

77% Answer Correctly

a = π r2

a = π r

a = π d2

a = π d


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.