ASVAB Math Knowledge Practice Test 603542 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

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

60% Answer Correctly

obtuse, acute

vertical, supplementary

supplementary, vertical

acute, obtuse


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).


2

Solve for a:
3a - 6 = \( \frac{a}{-8} \)

46% Answer Correctly
\(\frac{18}{37}\)
\(\frac{6}{11}\)
1\(\frac{23}{25}\)
1\(\frac{1}{2}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

3a - 6 = \( \frac{a}{-8} \)
-8 x (3a - 6) = a
(-8 x 3a) + (-8 x -6) = a
-24a + 48 = a
-24a + 48 - a = 0
-24a - a = -48
-25a = -48
a = \( \frac{-48}{-25} \)
a = 1\(\frac{23}{25}\)


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

equal length

equal angle

right angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the surface area?

48% Answer Correctly
324π
54π
216π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 6)
sa = 2π(9) + 2π(18)
sa = (2 x 9)π + (2 x 18)π
sa = 18π + 36π
sa = 54π


5

If a = 3, b = 4, c = 5, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
18
11
23
10

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 4 + 5 + 6
p = 18