ASVAB Math Knowledge Practice Test 640705 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

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

36% Answer Correctly

all acute angles equal each other

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

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior 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 dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?

48% Answer Correctly
144π
54π
110π
140π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π


3

If AD = 21 and BD = 11, AB = ?

76% Answer Correctly
9
10
6
11

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 21 - 11
AB = 10


4

If the base of this triangle is 3 and the height is 6, what is the area?

59% Answer Correctly
45
9
56
35

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 6 = \( \frac{18}{2} \) = 9


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

supplementary, vertical

acute, obtuse

vertical, supplementary

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).