ASVAB Math Knowledge Practice Test 447702 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

The dimensions of this cylinder are height (h) = 8 and radius (r) = 9. What is the surface area?

48% Answer Correctly
40π
16π
306π
224π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 8)
sa = 2π(81) + 2π(72)
sa = (2 x 81)π + (2 x 72)π
sa = 162π + 144π
sa = 306π


2

If a = c = 9, b = d = 1, what is the area of this rectangle?

79% Answer Correctly
9
6
16
64

Solution

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

a = l x w
a = a x b
a = 9 x 1
a = 9


3

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

57% Answer Correctly

area = ½bh

sum of interior angles = 180°

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


4

If angle a = 36° and angle b = 53° what is the length of angle d?

56% Answer Correctly
144°
125°
152°
148°

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° - 36° - 53° = 91°

So, d° = 53° + 91° = 144°

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° - 36° = 144°


5

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

equilateral and right

equilateral and isosceles

isosceles and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.