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.
Exam Tip
MK tests pure math (not word problems like AR). No calculator. Key topics: algebra, geometry, number theory. Both MK and AR factor into AFQT. Memorize geometry formulas.
What is the Mathematics Knowledge Subtest?
Mathematics Knowledge (MK) is an ASVAB subtest that measures your understanding of mathematical concepts and principles. It is one of the four subtests used to calculate the AFQT score.
Subtest Details
| Feature | CAT-ASVAB | Paper ASVAB |
|---|---|---|
| Questions | 15 | 25 |
| Time | 23 minutes | 24 minutes |
| Format | Multiple choice | Multiple choice |
| Calculator | Not allowed | Not allowed |
Topics Covered
| Topic | Examples |
|---|---|
| Algebra | Solving equations, inequalities, factoring, exponents |
| Geometry | Angles, triangles, circles, area, volume, perimeter |
| Number Theory | Factors, multiples, prime numbers, divisibility |
| Fractions/Decimals | Operations, conversions, ordering |
| Ratios & Proportions | Direct computation (not word problems) |
| Square Roots | Simplifying, estimating |
| Order of Operations | PEMDAS |
| Coordinate Geometry | Basic plotting, slope, distance |
MK in AFQT Calculation
AFQT = 2VE + AR + MK
MK counts once in the AFQT formula, directly impacting enlistment eligibility.
MK in Line Scores
| Composite Score | Uses MK? |
|---|---|
| CL (Clerical) | Yes |
| EL (Electronics) | Yes |
| FA (Field Artillery) | Yes |
| GM (General Maintenance) | Yes |
| SC (Skilled Technical) | Yes |
MK vs. AR
| Feature | Mathematics Knowledge | Arithmetic Reasoning |
|---|---|---|
| Question type | Direct math problems | Word problems |
| Focus | Concepts and formulas | Application and reasoning |
| Example | "Solve: 3x + 7 = 22" | "A store offers 25% off..." |
Study Tips
- Memorize key geometry formulas (area, volume, circumference)
- Practice solving algebraic equations
- Know properties of triangles (Pythagorean theorem, angle sums)
- Master exponent rules and square roots
- Practice without a calculator
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Related Terms
Armed Forces Qualification Test (AFQT)
The AFQT is the most important ASVAB score, calculated from four subtests using the formula AFQT = 2VE + AR + MK. It is reported as a percentile (1-99) and determines eligibility for military enlistment across all branches.
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.
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. It consists of 10 subtests covering verbal, math, science, and technical domains.
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