ASVAB Math Knowledge Practice Test 749001 Results

Your Results Global Average
Questions 5 5
Correct 0 2.71
Score 0% 54%

Review

1

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

48% Answer Correctly
32π
144π
44π
80π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 6)
sa = 2π(36) + 2π(36)
sa = (2 x 36)π + (2 x 36)π
sa = 72π + 72π
sa = 144π


2

If angle a = 56° and angle b = 27° what is the length of angle d?

56% Answer Correctly
112°
125°
115°
124°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 56° - 27° = 97°

So, d° = 27° + 97° = 124°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 56° = 124°


3

What is the area of a circle with a diameter of 8?

70% Answer Correctly
49π
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


4

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

50% Answer Correctly

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

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal


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).


5

On this circle, line segment CD is the:

46% Answer Correctly

chord

radius

circumference

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).