ASVAB Math Knowledge Practice Test 296306 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

If BD = 27 and AD = 28, AB = ?

75% Answer Correctly
10
1
12
5

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 = 28 - 27
AB = 1


2

If angle a = 60° and angle b = 36° what is the length of angle d?

56% Answer Correctly
118°
115°
133°
120°

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° - 60° - 36° = 84°

So, d° = 36° + 84° = 120°

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° - 60° = 120°


3

What is 8a + 7a?

80% Answer Correctly
15a
a2
56a
15

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 + 7a = 15a


4

The dimensions of this cylinder are height (h) = 2 and radius (r) = 9. What is the volume?

62% Answer Correctly
8π
162π
150π
75π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 2)
v = 162π


5

Solve for b:
b - 1 = \( \frac{b}{-6} \)

46% Answer Correctly
1\(\frac{5}{11}\)
1\(\frac{9}{26}\)
-\(\frac{35}{36}\)
\(\frac{6}{7}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

b - 1 = \( \frac{b}{-6} \)
-6 x (b - 1) = b
(-6 x b) + (-6 x -1) = b
-6b + 6 = b
-6b + 6 - b = 0
-6b - b = -6
-7b = -6
b = \( \frac{-6}{-7} \)
b = \(\frac{6}{7}\)