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ASVAB Arithmetic Reasoning & Mathematics Knowledge | AFQT Practice Test | Verified Q&A with Step-by-Step Solutions | Percentages, Ratios, Geometry, Algebra | Scored A+.

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ASVAB Arithmetic Reasoning & Mathematics Knowledge Comprehensive study guide with verified practice questions, correct answers, and detailed step-by-step explanations. Perfect for scoring high on the ASVAB AFQT math sections (Arithmetic Reasoning and Mathematics Knowledge). Key Topics Covered: Percentages, Discounts, and Percent Increase/Decrease Ratios, Proportions, and Word Problems Distance, Rate, and Time Calculations Fractions, Decimals, Mixed Numbers, and Conversions Algebra (Equations, Inequalities, Variables) Geometry (Area, Perimeter, Volume, Angles, Circles) Probability, Factorials, Prime Numbers, and Scientific Notation ASVAB-Specific Strategies and Common Traps This resource helps you master the math skills needed to improve your AFQT score and qualify for the military job you want.

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ASVAB Arithmetic Reasoning And Mathematics
Course
ASVAB Arithmetic Reasoning and Mathematics

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5/28/26, 7:00 Asvab 2026–2027
AM




ASVAB Arithmetic Reasoning & Mathematics
Knowledge 2026-2027 | AFQT Practice Test | Verified
Q&A with Step-by-Step Solutions | Percentages, Ratios,
Geometry, Algebra | Scored A+.

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)


A subway car passes 3 stations every 10 minutes. At this rate, how many stations
will it pass in one hour?


(a) 15
(b) 18
(c) 20
(d) 30
(b) 18


First, set up the rate as a proportion, where (x) is the number of


stations. 3 stations/10 minutes = (x) stations/1 hour


Then, convert the units.
1/68

,5/28/26, 7:00 Asvab 2026–2027
AM

3 stations/10 minutes = (x) stations/60


minutes Cross multiply and solve for (x).




2/68

,5/28/26, 7:00 Asvab 2026–2027
AM
180 = 10(x)


18 = (x)


On a certain map, 3/4 inch represents one mile. What distance, in miles, is
presented by 1 3/4 inches?


(a) 1 1/2
(b) 2 1/3
(c) 2 1/2
(d) 5 1/4
(b) 2 1/3


In this question, the ratio is implied: for every 3/4 inch of map there is 1 real
mile, so the ratio of inches to the miles they represent is always 3/4 to 1.
Therefore, you can set up the proportion:


number of inches/ number of miles = 3/


= 3/4 Now 1 3/4 inches = 7/4 inches.


Set up a proportion:


7/4 inches


7/4 inches / number of miles


= 3/4 Cross-multiply:


7/4(4) = 3 (number of


miles) 7= 3(number of


miles)


7/3 = number of miles or 2 1/3 = number of miles


A certain box contains baseballs and golf balls. If the ratio of baseballs to golf balls
is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box?

3/68

, 5/28/26, 7:00 Asvab 2026–2027
AM

(a) 18




4/68

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ASVAB Arithmetic Reasoning and Mathematics
Course
ASVAB Arithmetic Reasoning and Mathematics

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Uploaded on
May 28, 2026
Number of pages
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