ASVAB Math Knowledge Practice Test 432914 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

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

49% Answer Correctly

opposite sides and adjacent angles are equal

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

a parallelogram is a quadrilateral

the area of a parallelogram is base x height


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).


2

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

57% Answer Correctly

area = ½bh

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths


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.


3

What is the circumference of a circle with a radius of 17?

71% Answer Correctly
16π
34π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 17)
c = 34π


4

Find the value of b:
9b + x = 9
9b - 4x = 4

42% Answer Correctly
\(\frac{8}{9}\)
-1\(\frac{15}{64}\)
1\(\frac{11}{14}\)
-\(\frac{7}{18}\)

Solution

You need to find the value of b so solve the first equation in terms of x:

9b + x = 9
x = 9 - 9b

then substitute the result (9 - 9b) into the second equation:

9b - 4(9 - 9b) = 4
9b + (-4 x 9) + (-4 x -9b) = 4
9b - 36 + 36b = 4
9b + 36b = 4 + 36
45b = 40
b = \( \frac{40}{45} \)
b = \(\frac{8}{9}\)


5

If angle a = 33° and angle b = 41° what is the length of angle c?

71% Answer Correctly
94°
78°
92°
106°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 33° - 41° = 106°