ASVAB Arithmetic Reasoning Practice Test 366785 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

7 members of a bridal party need transported to a wedding reception but there are only 3 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
3
1
8
5

Solution

There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 7 people needing transportation leaving 7 - 6 = 1 who will have to find other transportation.


2

Simplify \( \sqrt{112} \)

62% Answer Correctly
8\( \sqrt{7} \)
4\( \sqrt{7} \)
6\( \sqrt{14} \)
5\( \sqrt{14} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)


3

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

PEDMAS

distributive

associative

commutative


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.


4

If a rectangle is twice as long as it is wide and has a perimeter of 48 meters, what is the area of the rectangle?

47% Answer Correctly
162 m2
128 m2
32 m2
2 m2

Solution

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 48 meters so the equation becomes: 2w + 2h = 48.

Putting these two equations together and solving for width (w):

2w + 2h = 48
w + h = \( \frac{48}{2} \)
w + h = 24
w = 24 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 24 - 2w
3w = 24
w = \( \frac{24}{3} \)
w = 8

Since h = 2w that makes h = (2 x 8) = 16 and the area = h x w = 8 x 16 = 128 m2


5

What is \( \frac{-9x^7}{9x^2} \)?

60% Answer Correctly
-x-5
-x9
-x3\(\frac{1}{2}\)
-x5

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-9x^7}{9x^2} \)
\( \frac{-9}{9} \) x(7 - 2)
-x5