ASVAB Math Knowledge Practice Test 121438 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, obtuse, acute

right, acute, obtuse

acute, obtuse, right

acute, right, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


2

If side x = 11cm, side y = 13cm, and side z = 14cm what is the perimeter of this triangle?

84% Answer Correctly
23cm
28cm
38cm
30cm

Solution

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

p = x + y + z
p = 11cm + 13cm + 14cm = 38cm


3

Simplify (5a)(2ab) - (9a2)(3b).

62% Answer Correctly
37a2b
17ab2
84ab2
-17a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(2ab) - (9a2)(3b)
(5 x 2)(a x a x b) - (9 x 3)(a2 x b)
(10)(a1+1 x b) - (27)(a2b)
10a2b - 27a2b
-17a2b


4

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π r2

a = π d

a = π d2

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

Factor y2 - 4y - 5

54% Answer Correctly
(y + 5)(y - 1)
(y - 5)(y + 1)
(y - 5)(y - 1)
(y + 5)(y + 1)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -5 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -5 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 5
y2 + (-5 + 1)y + (-5 x 1)
(y - 5)(y + 1)