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ASVAB 2025/2026 – 80+ Math & Arithmetic Reasoning Questions with Step-by-Step Explanations | Percentages, Algebra, Geometry, Word Problems & Logic

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This document features over 80 fully explained ASVAB questions tailored specifically for the Arithmetic Reasoning and Mathematics Knowledge sections of the 2025/2026 ASVAB exam. Each question is followed by detailed, step-by-step answers to help learners master the concepts and avoid common pitfalls. From basic operations to complex word problems, this guide makes challenging questions approachable and easy to understand. The content spans across: Basic arithmetic and fractions Algebraic expressions, equations, and inequalities Word problems involving percentages, rates, and averages Geometry and measurement, including perimeter, area, volume, and angles Pythagorean theorem and algebraic factorization Conversions and unit-based reasoning Applied logical thinking and real-world math scenarios Each problem not only gives the correct answer but also explains why and how it’s correct, making it an ideal tool for self-paced review or targeted tutoring. The explanations are particularly helpful for test-takers who struggle with math anxiety or foundational gaps. Best suited for: High school students preparing for military enlistment Adult learners and GED students refreshing core math skills Candidates pursuing roles in combat, mechanical, or technical military jobs Educators and ASVAB tutors looking for reliable question banks with teaching-ready solutions With its in-depth math coverage and clear instructional tone, this document offers a significant advantage to those aiming for high percentile scores on the ASVAB. Keywords: ASVAB math practice, arithmetic reasoning, algebra equations, word problems, fractions and decimals, geometry ASVAB, volume and area problems, step-by-step math, ASVAB math 2025, Pythagorean theorem, solving inequalities, ASVAB exam prep, rates and averages

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ASVAB Practice 2025/2026 Exam
Questions and Detailed Answers | Get it
100% Correct Answers



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 - 🧠ANSWER ✔✔Change 40% to a decimal and write an equation to solve

for x.




0.4 = x/30

,Multiply both sides by 30. You are "undoing" the division.

Which of the following is the smallest prime number greater than 200?




A. 201.

B. 205.

C. 211.


D. 214. - 🧠ANSWER ✔✔1. A prime number is a number larger than 1 that has

only itself and 1 as factors. (It can be evenly divided ony by itself and by 1.) 201 is

divisible by 3; 205 is divisible by 5; 211, however, is a prime number.

The expression "5 factorial" equals




A. 125.

B. 120.

C. 25.


D. 10. - 🧠ANSWER ✔✔. The product of all integers from 1 to x is called the x

factorial. The product of all numbers from 1 to 5 is 5 factorial. Thus

(5)(4)(3)(2)(1) = 20 (3)(2)(1)

,= 60 (2)(1)

= 120 (1) = 120

The expression 5 factorial" is equal to 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 - 🧠ANSWER ✔✔To subtract one polynomial from another, you

change the signs of the terms in the subtrahend. First write the example as a

subtraction in arithmetic.

(From) 8x² + 2x - 9

(Take) 3x² - 5x - 1

Then change the signs of the terms in the bottom row (the subtrahend) and

combine terms that are alike.

8x² + 2x - 9

-3x² + 5x + 1

3
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED

, ___________

5x² + 7x - 8

What is the meaning of the statement -30 < -5?




A. 30 is greater than 5.

B. 30 is less than minus 5.

C. Negative 30 is less than negative 5.


D. Negative 30 is greater than negative 5. - 🧠ANSWER ✔✔C. Negative 30 is less

than negative 5...In deciding whether a number is greater of less than another, it

helps to use a number line.




-------.-------.-------.-------.-------.-------.-------.-------.------.------.------.------

__-30___-25__-20__-15__-10__-5____0___5___10__15___20




On the number line above, -5is to the left of 0 and is, therefore, less than 0, but -50

is to the left of -5. This makes -30 less than -5. The < sign is a symbol of

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