ASVAB Math Knowledge Practice Test 615199 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can add monomials that have the same variable and the same exponent

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

all of these statements are correct


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


2

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

right, obtuse, acute

acute, right, obtuse

acute, obtuse, right

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

diameter

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).


4

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

53% Answer Correctly

π r2h2

π r2h

4π r2

2(π r2) + 2π rh


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.


5

This diagram represents two parallel lines with a transversal. If w° = 40, what is the value of b°?

73% Answer Correctly
141
140
142
169

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with w° = 40, the value of b° is 140.