ASVAB Math Knowledge Practice Test 855564 Results

Your Results Global Average
Questions 5 5
Correct 0 2.17
Score 0% 43%

Review

1

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).


2

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

24% Answer Correctly

c = π d2

c = π r2

c = π r

c = 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.


3

Simplify (4a)(9ab) - (5a2)(2b).

59% Answer Correctly
91a2b
46a2b
26a2b
91ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(9ab) - (5a2)(2b)
(4 x 9)(a x a x b) - (5 x 2)(a2 x b)
(36)(a1+1 x b) - (10)(a2b)
36a2b - 10a2b
26a2b


4

On this circle, line segment CD is the:

46% Answer Correctly

chord

diameter

radius

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

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

52% 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.