ASVAB Arithmetic Reasoning Practice Test 266449 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

How many hours does it take a car to travel 275 miles at an average speed of 55 miles per hour?

86% Answer Correctly
4 hours
7 hours
5 hours
9 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 = \( \frac{275mi}{55mph} \)
5 hours

2

Christine scored 74% on her final exam. If each question was worth 4 points and there were 200 possible points on the exam, how many questions did Christine answer correctly?

57% Answer Correctly
29
52
48
37
Solution

Christine scored 74% on the test meaning she earned 74% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.74 = 148 points. Each question is worth 4 points so she got \( \frac{148}{4} \) = 37 questions right.

3

In a class of 26 students, 14 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 9 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
25
6
19
14
Solution

The number of students taking German or Spanish is 14 + 15 = 29. Of that group of 29, 9 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 29 - 9 = 20 who are taking at least one language. 26 - 20 = 6 students who are not taking either language.

4

What is (a4)3?

80% Answer Correctly
a
a-1
3a4
a12
Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(a4)3
a(4 * 3)
a12

5

What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?

69% Answer Correctly
52
59
64
61
Solution

The equation for this sequence is:

an = an-1 + 4(n - 1)

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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61