ASVAB Math Knowledge Practice Test 856786 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

rhombus

trapezoid

quadrilateral

triangle
Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

2

If AD = 29 and BD = 23, AB = ?

75% Answer Correctly
10
6
12
19
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 = 29 - 23
AB = 6

3

If side x = 15cm, side y = 11cm, and side z = 11cm what is the perimeter of this triangle?

84% Answer Correctly
30cm
37cm
31cm
21cm
Solution

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

p = x + y + z
p = 15cm + 11cm + 11cm = 37cm

4

Simplify (y - 4)(y + 2)

62% Answer Correctly
y2 + 2y - 8
y2 + 6y + 8
y2 - 2y - 8
y2 - 6y + 8
Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 4)(y + 2)
(y x y) + (y x 2) + (-4 x y) + (-4 x 2)
y2 + 2y - 4y - 8
y2 - 2y - 8

5

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c2 - a2

a2 - c2

c - a
Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)