AFQT Subtest 2 • Code: MK

ASVAB Mathematics Knowledge Practice & Formulas Guide

Mathematics Knowledge (MK) evaluates your understanding of fundamental high-school algebra, exponents, roots, linear equations, and basic geometric properties.

Practice MK in Free Diagnostic Test View Math Formulas

What to Expect in Mathematics Knowledge

Unlike Arithmetic Reasoning, which embeds math inside narrative word problems, Mathematics Knowledge tests mathematical expressions directly: equations, operations with variables, geometric theorems, and exponent rules.

Impact on AFQTDirect 25% Input

Enters raw composite directly: $2(VE) + AR + MK$

Testing FocusAlgebra & Geometry

Order of operations (PEMDAS), equations, angles

Calculator StatusProhibited

All algebra solved on scratch paper

Walkthrough Practice Problems

Example 1 • Solving Linear Equations

If $3x + 7 = 22$, what is the value of $x$?

Step 1: Isolate the variable term by subtracting 7 from both sides: 3x = 22 - 7 → 3x = 15.

Step 2: Divide both sides by the coefficient 3: x = 15 ÷ 3.

Step 3: Solution: x = 5.

Example 2 • Right Triangle Area

What is the area of a right triangle with a base of 8 cm and a height of 6 cm?

Step 1: Recall the triangle area formula: Area = ½ × base × height.

Step 2: Substitute given values: Area = ½ × 8 × 6.

Step 3: Simplify: 4 × 6 = 24 sq cm.

Example 3 • Order of Operations (PEMDAS)

Simplify the expression: 2³ + (10 ÷ 2) - 4

Step 1 (Parentheses): Solve (10 ÷ 2) = 5.

Step 2 (Exponents): Solve 2³ = 2 × 2 × 2 = 8.

Step 3 (Addition & Subtraction): 8 + 5 - 4 = 13 - 4 = 9.

Explore the Other 3 AFQT Subtests

Arithmetic Reasoning

Word problems and rate equations →

Word Knowledge

Vocabulary and root words →

Paragraph Comprehension

Reading speed and inference →

Timed Practice

Ready for Mathematics Practice?

Take the free 20-question AFQT diagnostic exam to practice high-yield algebra and geometry questions with instant answer explanations.

Launch Free Diagnostic Test

Frequently Asked Questions

What topics appear most frequently on Mathematics Knowledge?

Core topics include solving one-variable and two-variable linear equations, factoring polynomials, evaluating exponents and square roots, applying geometric formulas (triangles, circles, rectangles), and understanding fractional powers.

How many questions make up the Mathematics Knowledge subtest?

On the computerized CAT-ASVAB, Mathematics Knowledge typically consists of 15 to 16 questions with approximately 20 minutes allotted. On the paper exam, it typically includes 25 questions in 24 minutes.

Do I need advanced calculus or trigonometry for the ASVAB?

No. The ASVAB tests high-school level algebra and basic geometry. It does not test calculus, complex trigonometry, or advanced pre-calculus concepts.