ASVAB CampMathematics Knowledge (MK)
Knowledge of high-school mathematics principles. It is one of the four subtests that decide AFQT eligibility.
- 15 questions
- 31 minutes
- ~2.1 min per question
- Counts toward the AFQT
- No calculator
- 14 lessons · 9 h
Lessons
14 lessons · 263 practice questions · 112 flashcards- 01Number Properties and DivisibilityUse factors, multiples, primes, divisibility, prime factorization, GCF, LCM, parity, remainders and absolute value accurately.32 min15 questions8 cards
- 02Signed NumbersOperate accurately with positive and negative integers, fractions and decimals; compare signed values; use absolute value; and apply sign rules in expressions.31 min15 questions8 cards
- 03Exponents, Roots and Scientific NotationApply exponent laws, roots, perfect-square reasoning and scientific notation accurately without a calculator.34 min15 questions8 cards
- 04Algebraic ExpressionsUnderstand algebraic notation and evaluate, expand, simplify and factor expressions, including polynomial and rational examples with domain restrictions.37 min15 questions8 cards
- 05Linear EquationsSolve and check one-variable linear equations, including parentheses, signed and rational coefficients, decimals, both-side variables, identities, contradictions and practical formula applications.39 min15 questions8 cards
- 06InequalitiesSolve linear and compound inequalities, graph their solution sets, use interval notation, handle signs and absolute-value constraints, and interpret integer bounds.38 min18 questions8 cards
- 07Systems and RelationshipsSolve two-variable linear systems using substitution, elimination and graphical relationships; distinguish unique/no/infinite solutions; model verbal constraints and check ordered pairs.39 min18 questions8 cards
- 08Functions, Patterns and SequencesEvaluate functions; interpret domain, range, table and graph information; build arithmetic and geometric sequence rules; solve patterns and composition problems.39 min20 questions8 cards
- 09Angles and LinesUse angle classification, 90°/180°/360° sums, vertical/adjacent relationships, bisectors, and parallel-line transversal theorems to solve geometric and algebraic problems.40 min20 questions8 cards
- 10TrianglesApply triangle interior/exterior angle properties, side constraints, isosceles properties, area and perimeter, right-triangle Pythagoras, similarity, congruence, and special right-triangle ratios to original exam-style problems.43 min20 questions8 cards
- 11Quadrilaterals and PolygonsApply polygon-angle theorems, quadrilateral classifications, perimeter/area formulas, composite regions and similarity scaling with correct units.42 min20 questions8 cards
- 12CirclesUse radius, diameter, circumference, disk area, semicircles, arcs, sector areas, annuli, scale factors and fundamental circle angles in no-calculator geometry.42 min24 questions8 cards
- 13Area, Surface Area and VolumeSolve multi-step two-dimensional areas and three-dimensional surface areas/volumes, including composite solids, open containers, reverse formulas and squared/cubed conversions.45 min24 questions8 cards
- 14Coordinate Geometry and GraphsInterpret points and axes; calculate midpoint, slope, length and intercepts; graph linear equations; identify parallel/perpendicular lines and intersections; apply coordinate geometry to figures.42 min24 questions8 cards
Mathematics Knowledge practice tests
6 tests · each 15 questions · 31 min · no question repeats between tests
About this section
Mathematics Knowledge tests the high-school math you need to know cold: definitions, rules and formulas rather than long word problems. It is part of the AFQT, together with Arithmetic Reasoning, Word Knowledge and Paragraph Comprehension.
The category is organized into 14 lessons. The number and algebra half covers number properties and divisibility, signed numbers, exponents, roots and scientific notation, algebraic expressions, linear equations, inequalities, systems and relationships, and functions, patterns and sequences. The geometry half moves through angles and lines, triangles, quadrilaterals and polygons, circles, area, surface area and volume, and coordinate geometry and graphs.
Work through the lessons in order if algebra is rusty, or jump to the geometry lessons if formulas are your weak point. Since MK counts toward the AFQT, it deserves regular review all the way to test day.
Take it with you: the free app
The same 124 lessons, 6,516 questions and 82 timed practice tests on your phone, plus flashcards with spaced review and progress tracking. Free to download, and it works offline.
- Works offline
- Spaced-review flashcards
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