ASVAB Math Knowledge Practice Test 577229 Results

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

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 4. What is the surface area?

48% Answer Correctly
60π
66π
88π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 7)
sa = 2π(16) + 2π(28)
sa = (2 x 16)π + (2 x 28)π
sa = 32π + 56π
sa = 88π


2

If a = 2 and z = 4, what is the value of 7a(a - z)?

68% Answer Correctly
-28
-54
160
-308

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.)

7a(a - z)
7(2)(2 - 4)
7(2)(-2)
(14)(-2)
-28


3

What is 8a - 9a?

79% Answer Correctly
-1a
-a2
17
72a

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.

8a - 9a = -1a


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

acute, obtuse

supplementary, vertical

obtuse, acute

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

This diagram represents two parallel lines with a transversal. If c° = 29, what is the value of a°?

73% Answer Correctly
153
30
29
156

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with c° = 29, the value of a° is 29.