ASVAB Math Knowledge Practice Test 351001 Results

Your Results Global Average
Questions 5 5
Correct 0 2.54
Score 0% 51%

Review

1

The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 2. What is the surface area?

51% Answer Correctly
136
58
10
286

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 1 x 2) + (2 x 2 x 9) + (2 x 1 x 9)
sa = (4) + (36) + (18)
sa = 58


2

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

24% Answer Correctly

c = π d2

c = π d

c = π r

c = π r2


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

Factor y2 - 13y + 40

54% Answer Correctly
(y + 8)(y - 5)
(y + 8)(y + 5)
(y - 8)(y + 5)
(y - 8)(y - 5)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 40 as well and sum (Inside, Outside) to equal -13. For this problem, those two numbers are -8 and -5. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 13y + 40
y2 + (-8 - 5)y + (-8 x -5)
(y - 8)(y - 5)


4

Solve for y:
-4y - 4 > \( \frac{y}{3} \)

44% Answer Correctly
y > -\(\frac{12}{13}\)
y > 1\(\frac{1}{15}\)
y > -1\(\frac{1}{15}\)
y > -\(\frac{6}{7}\)

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 > sign and the answer on the other.

-4y - 4 > \( \frac{y}{3} \)
3 x (-4y - 4) > y
(3 x -4y) + (3 x -4) > y
-12y - 12 > y
-12y - 12 - y > 0
-12y - y > 12
-13y > 12
y > \( \frac{12}{-13} \)
y > -\(\frac{12}{13}\)


5

The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 7. What is the volume?

83% Answer Correctly
126
252
20
210

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 6 x 7
v = 210