ASVAB Math Knowledge Practice Test 679833 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.30
Score	0%	66%

Review

If a = 4, b = 7, c = 9, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly

	15
	29
	28
	12

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 7 + 9 + 8
p = 28

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

53% Answer Correctly

	equilateral, isosceles and right
	isosceles and right
	equilateral and right
	equilateral and isosceles

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.

If b = -2 and z = -3, what is the value of -7b(b - z)?

68% Answer Correctly

	14
	44
	70
	0

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-7b(b - z)
-7(-2)(-2 + 3)
-7(-2)(1)
(14)(1)
14

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

63% Answer Correctly

	\( \sqrt{2} \)
	\( \sqrt{117} \)
	\( \sqrt{82} \)
	\( \sqrt{20} \)

Solution

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

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

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

57% Answer Correctly

	sum of interior angles = 180°
	perimeter = sum of side lengths
	area = ½bh
	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.