ASVAB Math Knowledge Practice Test 880239 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

If the base of this triangle is 5 and the height is 7, what is the area?

58% Answer Correctly
17\(\frac{1}{2}\)
40
20
48

Solution

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

a = ½bh
a = ½ x 5 x 7 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)


2

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

53% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

π r2h2


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

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

vertical, supplementary

acute, obtuse

obtuse, acute

supplementary, vertical


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).


4

Find the value of c:
4c + z = 7
-3c + z = 5

42% Answer Correctly
\(\frac{22}{31}\)
\(\frac{2}{7}\)
-\(\frac{3}{25}\)
-\(\frac{13}{33}\)

Solution

You need to find the value of c so solve the first equation in terms of z:

4c + z = 7
z = 7 - 4c

then substitute the result (7 - 4c) into the second equation:

-3c + 1(7 - 4c) = 5
-3c + (1 x 7) + (1 x -4c) = 5
-3c + 7 - 4c = 5
-3c - 4c = 5 - 7
-7c = -2
c = \( \frac{-2}{-7} \)
c = \(\frac{2}{7}\)


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

h x l x w

lw x wh + lh

h2 x l2 x w2


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.