ASVAB Math Knowledge Practice Test 381749 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

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

57% Answer Correctly

sum of interior angles = 180°

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles

area = ½bh


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.


2

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

53% Answer Correctly

equilateral and right

isosceles and right

equilateral, isosceles and right

equilateral and isosceles


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.


3

This diagram represents two parallel lines with a transversal. If w° = 20, what is the value of b°?

72% Answer Correctly
12
21
160
167

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° = 20, the value of b° is 160.


4

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

52% Answer Correctly

4π r2

π r2h2

2(π r2) + 2π rh

π r2h


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

Which of the following expressions contains exactly two terms?

81% Answer Correctly

monomial

binomial

quadratic

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.