Arithmetic Reasoning (AR)
Arithmetic Reasoning is an ASVAB subtest that measures your ability to solve word problems involving basic arithmetic operations, percentages, ratios, and time/distance calculations. It is one of the four subtests used to calculate the AFQT score.
Exam Tip
AR tests math WORD PROBLEMS (not pure math like MK). No calculator allowed. Directly impacts AFQT score. Practice setting up equations from word problems and mental math.
What is the Arithmetic Reasoning Subtest?
Arithmetic Reasoning (AR) is one of the most important ASVAB subtests because it directly factors into both the AFQT score and many military line scores. It tests your ability to solve real-world math word problems.
Subtest Details
| Feature | CAT without tryouts | Paper enlistment |
|---|---|---|
| Questions | 15 | 30 |
| Time | 55 minutes | 36 minutes |
| Format | Multiple choice | Multiple choice |
| Calculator | Not allowed | Not allowed |
Topics Covered
| Topic | Example |
|---|---|
| Basic Operations | Addition, subtraction, multiplication, division |
| Fractions & Decimals | Converting, adding, multiplying fractions |
| Percentages | Discounts, tax, interest, percent change |
| Ratios & Proportions | Scale problems, unit rates |
| Time & Distance | Speed, travel time calculations |
| Work Problems | Combined work rates |
| Geometry Word Problems | Area, perimeter, volume in context |
AR in AFQT Calculation
AFQT composite = 2VE + AR + MK
AR enters the composite once. The composite is then converted to a percentile.
AR in Line Scores
The Army General Technical composite combines AR with scaled Verbal Expression. AR also contributes to Air Force General and Electronics.
Study Tips
- Practice mental math since calculators are not allowed
- Learn to set up equations from word problems
- Master fractions, decimals, and percent conversions
- Practice estimating to check answers quickly
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Study guide on MometrixRelated Terms
Armed Forces Qualification Test (AFQT)
The Armed Forces Qualification Test (AFQT) is the ASVAB percentile used to assess military enlistment eligibility. It uses four math and verbal subtests.
Mathematics Knowledge (MK)
Mathematics Knowledge is an ASVAB subtest that tests pure mathematical concepts including algebra, geometry, and basic number theory. Unlike Arithmetic Reasoning, MK focuses on direct math problems rather than word problems.
Armed Services Vocational Aptitude Battery (ASVAB)
The ASVAB is a multiple-aptitude test administered by the U.S. Department of Defense to determine qualification for military enlistment and job placement across all branches. The computer-adaptive enlistment form has 10 subtests in verbal, math, science and technical, and spatial domains.
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