ASVAB Math Knowledge Practice Test 400197 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 8. What is the surface area?

51% Answer Correctly
46
264
322
94

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 8) + (2 x 8 x 7) + (2 x 7 x 7)
sa = (112) + (112) + (98)
sa = 322


2

If angle a = 40° and angle b = 47° what is the length of angle d?

56% Answer Correctly
149°
140°
116°
139°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 40° - 47° = 93°

So, d° = 47° + 93° = 140°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 40° = 140°


3

Simplify (2a)(7ab) + (3a2)(9b).

65% Answer Correctly
13ab2
41a2b
108ab2
108a2b

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.

(2a)(7ab) + (3a2)(9b)
(2 x 7)(a x a x b) + (3 x 9)(a2 x b)
(14)(a1+1 x b) + (27)(a2b)
14a2b + 27a2b
41a2b


4

What is 3a - 7a?

79% Answer Correctly
-4
-4a
21a2
21a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a - 7a = -4a


5

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

74% Answer Correctly

acute, right, obtuse

acute, obtuse, right

right, acute, obtuse

right, obtuse, acute


Solution

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