ASVAB Math Knowledge Polygons Practice Test 412675 Results

Your Results Global Average
Questions 5 5
Correct 0 3.57
Score 0% 71%

Review

1

If a = c = 6, b = d = 5, what is the area of this rectangle?

80% Answer Correctly
9
16
30
28

Solution

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

a = l x w
a = a x b
a = 6 x 5
a = 30


2

If angle a = 70° and angle b = 35° what is the length of angle c?

71% Answer Correctly
98°
110°
75°
65°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 70° - 35° = 75°


3

If side x = 13cm, side y = 5cm, and side z = 15cm what is the perimeter of this triangle?

85% Answer Correctly
28cm
40cm
32cm
33cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 13cm + 5cm + 15cm = 33cm


4

If side a = 2, side b = 4, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{29} \)
\( \sqrt{106} \)
\( \sqrt{20} \)
\( \sqrt{53} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 22 + 42
c2 = 4 + 16
c2 = 20
c = \( \sqrt{20} \)


5

If the base of this triangle is 6 and the height is 6, what is the area?

58% Answer Correctly
75
24
18
36

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 6 = \( \frac{36}{2} \) = 18