ASVAB Math Practice Test 3 CATASVAB Arithmetic Reasoning 16 questions Total time for this section: 39 Minutes Calculators are not allowed for this test.

1 
If a rectangle is \(20\) feet by \(35\) feet, what is its area? 
(A) 
\(750\) 
(B) 
\(250\) 
(C) 
\(700\) 
(D) 
\(1240\) 
2 
Each year, a cyber café charges its customers a base rate of \($\ 25\), with an additional \($\ 0.30\) per visit for the first \(30\) visits, and \($\ 0.15\) for every visit after that. How much does the cyber café charge a customer for a year in which \(50\) visits are made? 
(A) 
\($\ 37\) 
(B) 
\($\ 35\) 
(C) 
\($\ 27\) 
(D) 
\($\ 25\) 
3 
Amy was hired to teach three identical math courses, which entailed being present in the classroom \(45\) hours altogether. At \($\ 20\) per class hour, how much did Aria earn for teaching one course? 
(A) 
\($\ 450\) 
(B) 
\($\ 500\) 
(C) 
\($\ 300\) 
(D) 
\($\ 1500\) 
4 
Alex gives \(6\) pieces of candy to each of his friends. If Alex gives all his candy away, which amount of candy could have been the amount he distributed? 
(A) 
\(138\) 
(B) 
\(218\) 
(C) 
\(442\) 
(D) 
\(213\) 
5 
If a vehicle is driven \(36\) miles on Monday, \(30\) miles on Tuesday, and \(24\) miles on Wednesday, what is the average number of miles driven each day? 
(A) 
\(32\) miles 
(B) 
\(28\) miles 
(C) 
\(21\) miles 
(D) 
\(30\) miles 
6 
Ashly is \(14\) years older than her sister Jennifer, and Jennifer is \(6\) years younger than her brother John. If the sum of their ages is \(71\), how old is Jennifer? 
(A) 
\(25\) 
(B) 
\(17\) 
(C) 
\(32\) 
(D) 
\(24\) 
7 
You are asked to chart the temperature during an \(6\) hour period to give the average. These are your results: \(5\) am:\( 3\) degrees \(6\) am:\(8\) degrees \(7\) am:\(15\) degrees \(8\) am:\(22\) degrees \(9\) am:\(24\) degrees \(9\) am:\(30\) degrees What is the average temperature? 
(A) 
\(25\) 
(B) 
\(35\) 
(C) 
\(42\) 
(D) 
\(17\) 
8 
Mike is driving to visit his grandfather, who lives \(420\) miles away. How long will the drive be, round−trip, if Mike drives at an average speed of \(70\) mph? 
(A) 
\(720\) minutes 
(B) 
\(542\) minutes 
(C) 
\(265\) minutes 
(D) 
\(360\) minutes 
9 
Four co−workers contributed \($\ 12.25\) , \($\ 14.25\), \($\ 17.35\), and \($\ 19.45\) respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift? 
(A) 
\($\ 25.36\) 
(B) 
\($\ 37.42\) 
(C) 
\($\ 63.3\) 
(D) 
\($\ 40.5\) 
10 
What is the prime factorization of \(280\)? 
(A) 
\(2 \ × \ 2 \ × \ 2 \ × \ 5\ × \ 7 \) 
(B) 
\(2 \ × \ 2 \ × \ 2 \ × \ 2 \ × \ 5 \ × \ 7 \) 
(C) 
\(2 \ × \ 2 \ × \ 2 \ × \ 2 \ × \ 5\) 
(D) 
\(2 \ × \ 2 \ × \ 7\) 
11 
While at work, David checks his email once every \(45\) minutes. In \(6−\)hour, how many times does she check his email? 
(A) 
\(25\) Times 
(B) 
\(3\) Times 
(C) 
\(8\) Times 
(D) 
\(18\) Times 
12 
In the deck of cards, there are \(4\) spades, \(6\) hearts, \(7\) clubs, and \(11\) diamonds. What is the probability that John will pick out a spade? 
(A) 
\(\frac{1}{7}\) 
(B) 
\(\frac{1}{5}\) 
(C) 
\(\frac{1}{4}\) 
(D) 
\(\frac{1}{9}\) 
13 
A man goes to a casino with \($\ 200\). He loses \($\ 50\) on blackjack, then loses another \($\ 60\) on roulette. How much money does he have left? 
(A) 
\($\ 50\) 
(B) 
\($\ 95\) 
(C) 
\($\ 60\) 
(D) 
\($\ 90\) 
14 
A family owns \(12\) dozen of magazines. After donating \(64\) magazines to the public library, how many magazines are still with the family? 
(A) 
\(80\) 
(B) 
\(25\) 
(C) 
\(72\) 
(D) 
\(45\) 
15 
A woman owns a dog walking business. If \(4\) workers can walk \(12\) dogs, how many dogs can \(6\) workers walk? 
(A) 
\(18\) 
(B) 
\(8\) 
(C) 
\(4\) 
(D) 
\(5\) 
16 
Bob is driving a truck that can hold \(4\) tons maximum. He has a shipment of food weighing \(24,000\) pounds. How many trips will he need to make to deliver all of the food? 
(A) 
\(5\) Trips 
(B) 
\(3\) Trips 
(C) 
\(7\) Trips 
(D) 
\(9\) Trips 
ASVAB Math Practice Test 3 CATASVAB Mathematics Knowledge Total time for this section: 18 Minutes 16 questions Calculators are not allowed for this test

17 
If \(a = 6\) , what is the value of b in this equation? \(b =\frac{a^2}{6} \ + \ 6\) 
(A) 
\(15\) 
(B) 
\(20\) 
(C) 
\(8\) 
(D) 
\(12\) 
18 
A circle has a radius of \(3\) inches. What is its approximate area? \((π = 3.14)\) 
(A) 
\(22.5\) square inches 
(B) 
\(16.26\) square inches 
(C) 
\(28.26\) square inches 
(D) 
\(32\) square inches 
19 
In the following diagram, what is the value of \(x\)?

(A) 
\(65^\circ\) 
(B) 
\(70^\circ\) 
(C) 
\(35^\circ\) 
(D) 
\(45^\circ\) 
20 
The eighth root of \(256\) is: 
(A) 
\(2\) 
(B) 
\(5\) 
(C) 
\(4\) 
(D) 
\(6\) 
$44.99 $24.99
44% Off*
The Ultimate Step by Step Guide to Preparing for the ASVAB Math Test

21 
If \( \ 9 \ a = 81\), then a = ___ 
(A) 
\(6\) 
(B) 
\( \ 8\) 
(C) 
\( \ 9\) 
(D) 
\(12\) 
22 
\(4(a \ + \ 5)=24\), what is the value of \(a\)? 
(A) 
\(5\) 
(B) 
\(1.5\) 
(C) 
\(1\) 
(D) 
\(3\) 
23 
In the following right triangle, what is the value of rounded to the nearest hundredth?

(A) 
\(6.27\) 
(B) 
\(8.27\) 
(C) 
\(9.219\) 
(D) 
\(23\) 
24 
Which of the following is an obtuse angle? 
(A) 
\(160^\circ\) 
(B) 
\(45^\circ\) 
(C) 
\(35^\circ\) 
(D) 
\(80^\circ\) 
25 
If \(3^{21}=3^7 \ × \ 3^x\), what is the value of \(x\) ? 
(A) 
\(14\) 
(B) 
\(25\) 
(C) 
\(2.5\) 
(D) 
\(7\) 
26 
Factor this expression: \(x^2 \ + \ 6x \  \ 7\) 
(A) 
\(x^2 \ (x \ + 6)\) 
(B) 
\(x (x \ + \ 6 \  \ 7)\) 
(C) 
\((x + 7) \ (x \  \ 1)\) 
(D) 
\((x \ + \ 7) \ (x \ + \ 1)\) 
27 
Which of the following is not equal to \(6^2\)? 
(A) 
the squared of \(6\) 
(B) 
\(6\) cubed 
(C) 
\(6\) to the second power 
(D) 
\(6\) squared 
28 
Find the slope of the line running through the points \((4 \ , \ 5)\) and \((5 \ , \ 8)\). 
(A) 
\(3\) 
(B) 
\( \ 4\) 
(C) 
\( \ 2\) 
(D) 
\(\frac{1} {2}\) 
29 
What is \(854,320\) in scientific notation? 
(A) 
\(85.432\) 
(B) 
\(0.85432 × 10^6\) 
(C) 
\(8.5432 × 10^5\) 
(D) 
\(8.5432\) 
30 
What is the value of \(\sqrt{81} \ × \sqrt {25}\) ? 
(A) 
\(\sqrt{45}\) 
(B) 
\(\sqrt{145}\) 
(C) 
\(45\) 
(D) 
\(130\) 
31 
The cube root of \(2,197\) is? 
(A) 
\(13\) 
(B) 
\(121\) 
(C) 
\(25.6\) 
(D) 
\(2.6\) 
32 
\((2 \ x \ + \ 3) \ (3 \ x \ + \ 4)\) = ? 
(A) 
\(6 \ x^2 \ + \ 17 \ x \ + \ 12\) 
(B) 
\(6 \ x^2 \ + \ 5 \ x \ + \ 6\) 
(C) 
\(6 \ x^2 \ + \ 5 \ x \) 
(D) 
\(6 \ x \ + \ 5 \ x \) 