ASVAB Math Knowledge Practice Test 786562 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the volume?

62% Answer Correctly
28π
32π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 2)
v = 2π


2

The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 3. What is the surface area?

51% Answer Correctly
52
136
14
114

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 3) + (2 x 3 x 4) + (2 x 2 x 4)
sa = (12) + (24) + (16)
sa = 52


3

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

vertical, supplementary

supplementary, vertical

acute, obtuse

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).


4

If a = 8, b = 8, c = 6, and d = 5, what is the perimeter of this quadrilateral?

88% Answer Correctly
24
16
17
27

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 8 + 6 + 5
p = 27


5

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

all of these statements are correct

you can multiply monomials that have different variables and different exponents

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


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.