ASVAB Math Knowledge Practice Test 101001 Results

Your Results Global Average
Questions 5 5
Correct 0 2.60
Score 0% 52%

Review

1

If the base of this triangle is 7 and the height is 6, what is the area?

58% Answer Correctly
39
97\(\frac{1}{2}\)
44
21
Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 6 = \( \frac{42}{2} \) = 21

2

If BD = 7 and AD = 15, AB = ?

75% Answer Correctly
8
1
20
6
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 = 15 - 7
AB = 8

3

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

24% Answer Correctly

c = π d

c = π r2

c = π r

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

Factor y2 + 2y - 35

53% Answer Correctly
(y - 5)(y - 7)
(y - 5)(y + 7)
(y + 5)(y - 7)
(y + 5)(y + 7)
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 -35 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -5 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 2y - 35
y2 + (-5 + 7)y + (-5 x 7)
(y - 5)(y + 7)

5

The dimensions of this cylinder are height (h) = 3 and radius (r) = 7. What is the surface area?

48% Answer Correctly
110π
306π
28π
140π
Solution

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

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 3)
sa = 2π(49) + 2π(21)
sa = (2 x 49)π + (2 x 21)π
sa = 98π + 42π
sa = 140π