ASVAB Math Knowledge Practice Test 223177 Results

Your Results Global Average
Questions 5 5
Correct 0 2.79
Score 0% 56%

Review

1

If AD = 11 and BD = 3, AB = ?

75% Answer Correctly
6
18
5
8

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 = 11 - 3
AB = 8


2

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

77% Answer Correctly

a = π d

a = π d2

a = π r

a = π r2


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.


3

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

24% Answer Correctly

c = π d

c = π r

c = π r2

c = π d2


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.


4

Solve for a:
4a + 5 < \( \frac{a}{-3} \)

44% Answer Correctly
a < -10
a < -1\(\frac{2}{13}\)
a < \(\frac{2}{3}\)
a < 1\(\frac{11}{37}\)

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 < sign and the answer on the other.

4a + 5 < \( \frac{a}{-3} \)
-3 x (4a + 5) < a
(-3 x 4a) + (-3 x 5) < a
-12a - 15 < a
-12a - 15 - a < 0
-12a - a < 15
-13a < 15
a < \( \frac{15}{-13} \)
a < -1\(\frac{2}{13}\)


5

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

supplementary, vertical

vertical, supplementary

obtuse, acute

acute, obtuse


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).