ASVAB Math Knowledge Practice Test 243477 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.45
Score	0%	69%

Review

If side a = 8, side b = 1, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly

	\( \sqrt{17} \)
	\( \sqrt{65} \)
	\( \sqrt{18} \)
	10

Solution

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

c² = a² + b²
c² = 8² + 1²
c² = 64 + 1
c² = 65
c = \( \sqrt{65} \)

If the base of this triangle is 8 and the height is 3, what is the area?

59% Answer Correctly

	12
	97\(\frac{1}{2}\)
	42
	67\(\frac{1}{2}\)

Solution

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

a = ½bh
a = ½ x 8 x 3 = \( \frac{24}{2} \) = 12

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

	addition
	exponents
	pairs
	division

Solution

When solving an equation with two variables, 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.)

If AD = 23 and BD = 13, AB = ?

76% Answer Correctly

	5
	20
	15
	10

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 23 - 13
AB = 10

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

54% Answer Correctly

	isosceles and right
	equilateral and isosceles
	equilateral 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.