ASVAB Math Knowledge Practice Test 464412 Results

Your Results Global Average
Questions 5 5
Correct 0 2.55
Score 0% 51%

Review

1

The endpoints of this line segment are at (-2, -7) and (2, 1). What is the slope of this line?

46% Answer Correctly
\(\frac{1}{2}\)
2\(\frac{1}{2}\)
3
2

Solution

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, -7) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


2

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

57% Answer Correctly

perimeter = sum of side lengths

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

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

53% Answer Correctly

2(π r2) + 2π rh

π r2h2

π r2h

4π r2


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

On this circle, line segment CD is the:

46% Answer Correctly

radius

diameter

chord

circumference


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).


5

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and isosceles

isosceles and right

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.