ASVAB Math Knowledge Practice Test 351617 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

Which types of triangles will always have at least two sides of equal length?

55% Answer Correctly

equilateral and isosceles

equilateral and right

isosceles and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


2

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h2

π r2h


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


3

Solve for z:
z2 - 4z + 4 = 0

59% Answer Correctly
8 or 1
3 or -8
4 or 3
2

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 - 4z + 4 = 0
(z - 2)(z - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (z - 2) must equal zero:

If (z - 2) = 0, z must equal 2

So the solution is that z = 2


4

If a = c = 1, b = d = 2, what is the area of this rectangle?

80% Answer Correctly
27
42
2
56

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 1 x 2
a = 2


5

If side a = 6, side b = 5, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{50} \)
\( \sqrt{61} \)
\( \sqrt{145} \)
\( \sqrt{80} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 62 + 52
c2 = 36 + 25
c2 = 61
c = \( \sqrt{61} \)