ASVAB Arithmetic Reasoning Practice Test 836361 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

How many hours does it take a car to travel 225 miles at an average speed of 25 miles per hour?

85% Answer Correctly
9 hours
2 hours
8 hours
4 hours

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{225mi}{25mph} \)
9 hours


2

What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?

92% Answer Correctly
37
36
45
39

Solution

The equation for this sequence is:

an = an-1 + 7

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 7
a6 = 29 + 7
a6 = 36


3

What is 3\( \sqrt{9} \) x 4\( \sqrt{8} \)?

41% Answer Correctly
7\( \sqrt{72} \)
72\( \sqrt{2} \)
7\( \sqrt{8} \)
7\( \sqrt{9} \)

Solution

To multiply terms with radicals, multiply the coefficients and radicands separately:

3\( \sqrt{9} \) x 4\( \sqrt{8} \)
(3 x 4)\( \sqrt{9 \times 8} \)
12\( \sqrt{72} \)

Now we need to simplify the radical:

12\( \sqrt{72} \)
12\( \sqrt{2 \times 36} \)
12\( \sqrt{2 \times 6^2} \)
(12)(6)\( \sqrt{2} \)
72\( \sqrt{2} \)


4

Convert 0.0000227 to scientific notation.

62% Answer Correctly
2.27 x 10-4
0.227 x 10-4
2.27 x 106
2.27 x 10-5

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0000227 in scientific notation is 2.27 x 10-5


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common factor

greatest common multiple

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.