ASVAB Math Knowledge Practice Test 407313 Results

Your Results Global Average
Questions 5 5
Correct 0 2.58
Score 0% 52%

Review

1

The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the surface area?

48% Answer Correctly
180π
110π
90π
270π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 1)
sa = 2π(81) + 2π(9)
sa = (2 x 81)π + (2 x 9)π
sa = 162π + 18π
sa = 180π


2

If a = c = 9, b = d = 3, and the blue angle = 78°, what is the area of this parallelogram?

65% Answer Correctly
24
27
35
20

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 9 x 3
a = 27


3

Solve for y:
-5y - 2 < 5 - 9y

55% Answer Correctly
y < -\(\frac{4}{9}\)
y < 1\(\frac{3}{4}\)
y < -\(\frac{2}{9}\)
y < -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 < sign and the answer on the other.

-5y - 2 < 5 - 9y
-5y < 5 - 9y + 2
-5y + 9y < 5 + 2
4y < 7
y < \( \frac{7}{4} \)
y < 1\(\frac{3}{4}\)


4

Which of the following is not required to define the slope-intercept equation for a line?

41% Answer Correctly

\({\Delta y \over \Delta x}\)

slope

x-intercept

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

Which of the following statements about a parallelogram is not true?

49% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).