Study guide · PDF · 53 pages · 2026 edition · updated October 2026
ASVAB math study guide: Arithmetic Reasoning and Mathematics Knowledge, step by step
Arithmetic Reasoning and Mathematics Knowledge are half of your AFQT. This guide teaches exactly that math, step by step and without a calculator, then drills it.
For: Future recruits and retesters who want a better AFQT and feel rusty in math.
What you get for $19, the moment you pay
- A 2026 summary of the two math subtests, checked on officialasvab.com in October 2026: question counts, time limits, CAT vs paper, calculator rule, guessing rules, retests
- 12 chapters: test facts, 8 topic chapters (mental math, numbers, fractions and percents, ratios and rates, word problems, linear algebra, exponents and factoring, geometry) each with a rules box, timed drills, a full-length test and a plan-and-tools chapter
- 25 worked examples solved step by step without a calculator
- 148 original practice problems with explained answers: 73 in topic sets, 2 timed drills of 10, and a full-length test at paper-ASVAB length and pace (30 AR in 36 minutes, 25 MK in 24 minutes) with a results-by-topic table
- A one-page formula and conversion sheet to memorize
- A word-problem translation table (English words -> math symbols)
- A 6-week study calendar (pre-filled plan + blank log) and a printable error log template
- PDF of 53 pages to read on any device or print, with 11 official and reference sources listed and dated
In brief: the Math Study Guide for the ASVAB: Arithmetic Reasoning & Math Knowledge is a 53-page PDF (2026 edition · updated October 2026) for $19, a one-off payment with nothing added at checkout. 12 chapters, 148 original practice questions with explained answers, checklists and fill-in templates; every fact is followed by its source. Instant download after payment.
What's inside: the real table of contents
- The ASVAB math subtests in 2026p. 4
- Mental math and no-calculator tacticsp. 7
- Number skillsp. 10
- Fractions, decimals and percentsp. 13
- Ratios, rates, work and unitsp. 16
- Word problems: translate, average, interestp. 20
- Algebra 1: expressions, equations, inequalitiesp. 24
- Algebra 2: exponents, roots, factoring, quadraticsp. 27
- Geometry and measurementp. 31
- Timed drills: AR and MKp. 35
- Full-length practice test: paper formatp. 39
- Formula sheet, 6-week plan and error logp. 49
- Sources (11, each with the date it was checked)
Who it is for
- Anyone planning to enlist who needs a stronger AFQT score and feels weak or rusty in math
- Adults who left school years ago and need to relearn fractions, percents, algebra and geometry step by step
- Candidates who want to retest after a low Arithmetic Reasoning or Mathematics Knowledge result
- High school students preparing for the ASVAB in a school program
- Readers who prefer short sentences and plain English
Who it is not for
- People who want full coverage of all ASVAB subtests: this guide covers only the two math subtests (Arithmetic Reasoning and Mathematics Knowledge)
- People looking for adaptive, timed computer tests: this is a printable PDF; the official site also has free sample questions
- Anyone wanting a promised score: nobody can promise an AFQT result
Questions before you buy
Is there free material for ASVAB math?
Yes. officialasvab.com has free sample questions for each subtest, and many sites offer free practice. This guide is for people who want one complete, structured course with explanations, a plan and tools in one PDF.
Is this guide up to date for 2026?
Yes. All test facts (question counts, time limits, calculator rule, retest rules) were checked on officialasvab.com in October 2026, and each fact has its source listed at the end of the guide.
Can I use a calculator on the ASVAB?
No. The official site says you cannot use a calculator. That is why every example in this guide is solved by hand, with mental-math shortcuts.
Are these real ASVAB questions?
No. All 148 practice problems are original, written by passmock to practice the same math skills. They are not ASVAB test items. passmock is not affiliated with the U.S. Department of Defense.
Does it cover Word Knowledge, Paragraph Comprehension or the technical subtests?
No. It covers only Arithmetic Reasoning and Mathematics Knowledge, the two math subtests of the AFQT.
Is it a subscription?
No. It is a one-off payment of $19 for the PDF. You can print it and keep it.
Will it guarantee my score?
No. Nobody can promise a score. The guide gives you a clear course, practice and a plan; the result depends on your work.
Practise the whole test too
How it works
- You pay on Stripe, by card, Apple Pay or Google Pay: one-off payment, your card details never pass through our servers.
- You download the PDF straight away on the confirmation page, get the link by email, and can find it again at any time (Find my purchases).
- A problem with your guide? Email administration@lacangel.fr with your order number: we answer every message.
Good to know before you buy
- Written by passmock from the official sources listed in the guide (11 sources, each with the date it was read). Rules and fees can change: the guide tells you where to check.
- passmock is independent and not affiliated with any test owner. No guide can guarantee a result.
- Want to try first? The free ASVAB practice test is free, with explained answers.
- Faulty or not as described? Email administration@lacangel.fr: we fix or replace it, and refund you if we cannot (refund policy).