ASVAB Math Knowledge
Stanford University
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2023 ASVAB Arithmetic Reasoning and Mathematics exam questions and answers.
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Numbers 
The basic buildings blocks of mathematics. 
 
 
 
Integer 
Any positive or negative whole number including zero. (Do not include fractions, decimals, or mixed numbers. 
 
 
 
Prime number 
Any whole number greater than 1 that only has two factors, itself and 1. (Ex: 1, 3, 5) 
 
 
 
Composite Number 
any whole number greater than 1 that has more than two factors. (Ex: 2, 4, 6) 
 
 
 
Even Number 
Any integer that can be divided by 2 without leaving a remainder (Ex: 2, 4, 6) 
 
 
 
Odd Nu...
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ASVAB math questions with verified correct answers 2023
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ASVAB math questions with verified correct answers 2023
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Asvab Mathematical knowledge test fully solved 2023.
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Asvab Practice math questions and answers.
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Which of the following is the smallest prime number greater than 200? 
 
A. 201. 
B. 205. 
C. 211. 
D. 214 
211 
 
 
 
If 40% is equal to the fraction x/30, what is the value of x? 
 
A. 0.4 
B. 15 
C. 1,200 
D. 12 
12 
 
 
 
The expression "5 factorial" equals 
 
A. 125. 
B. 120. 
C. 25. 
D. 10. 
120 
 
 
 
What is the result of subtracting 3x² - 5x - 1 from 8x² + 2x + 9? 
 
A. 5x² - 3x - 10 
B. -5x² - 3x - 10 
C. 5x² +7x - 8 
D. -5x² - 7x + 8 
5x² +7x - 8 
 
 
 
What is the meaning of...
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ASVAB MATHEMATICAL KNOWLEDGE EXAM WITH VERIFIED SOLUTIONS
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if A=6 and b=5 what is the value of (A^2 -B^2)^2 
121 
 
 
 
what are the factors of x^2+4x+3 
(x+3)(x+1) 
 
 
 
simplify 3/5x+x 
8/5x 
 
 
 
the hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long 
x^2=14^2-9^2 
 
 
 
which of the following is not a prime number 
1 
 
 
 
the factors of 2x^2+xy-3y^2 are 
(2x+3y)(x-y) 
 
 
 
what is the product of (a-1) and (2a+2) 
2(a^2-1) 
 
 
 
In the formula C= 5/9( F-32), if C=35 then F=... 
95 
 
 
 
The perimeter of squ...
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ASVAB Math Knowledge test with 100% correct answers 2023.
- Exam (elaborations) • 2 pages • 2023
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if A=6 and b=5 what is the value of (A^2 -B^2)^2 
121 
 
 
 
what are the factors of x^2+4x+3 
(x+3)(x+1) 
 
 
 
simplify 3/5x+x 
8/5x 
 
 
 
the hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long 
x^2=14^2-9^2 
 
 
 
the product of 3! is 
6 
 
 
 
the factors of 2x^2+xy-3y^2 are 
(2x+3y)(x-y) 
 
 
 
what is the product of the reciprocal of 2/3, 1/8 and 5 
15/16 
 
 
 
what is 8b-ab+7a subtracted from 3a- 9ab+b 
4a-10ab+9b 
 
 
 
what is the product of (a-1) ...
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ASVAB - Math Formulas and Terms and definitions
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Circumference for a circle 
C = pi(diameter) 
 
 
 
Radius of a circle 
R = 2pi(radius) 
 
 
 
Area of a circle 
A = pi(radius)^2 
 
 
 
Volume for rectangular objects 
V= (length)(width)(height) 
 
 
 
Volume for cylinders 
V= pi(radius)^2(height) 
 
 
 
Area of a triangle 
A = 1/2(base)(height) 
 
 
 
Perimeter of a quadrilateral 
P = 2(length) + 2(width) 
 
 
 
Area of a quadrilateral 
A = (length)(width) 
 
 
 
Square footage 
SF = (length)(width) 
 
 
 
How to add and subtract fractions 
Fi...
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ASVAB - Arithmetic Reasoning Mathematics Knowledge test |270 questions and answers.
- Exam (elaborations) • 54 pages • 2023
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John bought a camera on sale that normally costs $160. If the price was reduced 20% during the sale, what was the sale price of the camera? 
 
(a) $120 
(b) $124 
(c) $128 
(d) $140 
(c) $128 
 
This question asks you to determine the sale price of a camera that normally sells at $160 and is discounted 20%. To solve, determine what 20% of $160 equals. Rewrite 20% as a decimal. 
 
20% = 0.20. So 20% of $160 = 0.20 x $160 = $32. 
The sale price of the camera would be $160 - $32 = $128, choice (c) ...
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ASVAB Arithmetic Reasoning practice test with verified correct answers
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If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost? 
(a) $12.00 
(b) $3.50 
(c) $42.00 
(d) $100.00 
C. Multiply 12 miles by $3.50 per mile: 
12 × $3.50 = $42.00 
 
 
 
The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number? 
(a) 31 
(b) 33 
(c) 35 
(d) 36 
A. x + x + 8 = 70, solve for x. 
x = 31 
 
 
 
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyda...
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ASVAB - Mathematical Knowledge with 100% correct answers(verified for accuracy)
- Exam (elaborations) • 6 pages • 2023
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* If x + 3y = 7 and y = 2, then x equals 
 
1 
 
2 
 
3-1/2 
 
13 
 
1 
 
 
 
* What are the factors of x² + 4x + 3? 
 
x³ - 1 
 
4x² + 3 
 
(x-3)(x+1) 
 
(x+3)(x+1) 
 
(x+3)(x+1) 
 
 
 
* What is the area of a parallelogram if its length is x + 4 and its height is x + 3? 
 
4x + 14 
 
2x + 7 
 
x² + 12x + 7 
 
x² + 7x + 12 
 
x² + 7x + 12 
 
 
 
* What is the sum of 3x³ - 2x + 8, 2x² + 5x, and x³ + 2x² - 3x -3? 
 
4x³ + 4x² + 5 
 
3x³ + 4x² + 6x + 5 
 
4x^5 + 5 
 
4x³ - 10x + 11 ...
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