About Mathematics Knowledge

Mathematics Knowledge tests your understanding of mathematical concepts beyond word problems. Unlike Arithmetic Reasoning which focuses on applied math, MK tests pure mathematical knowledge including algebra, geometry, and basic number theory. On the CAT-ASVAB, you have 15 scored questions with a 31-minute official subtest limit. As an AFQT component, your MK score directly impacts your enlistment eligibility. Questions cover topics from basic algebra (solving equations, inequalities) to geometry (area, volume, angles) and some basic probability and statistics. A solid foundation in high school math is essential for this section.

Topics Covered

Algebraic Equations
Inequalities
Exponents & Radicals
Factoring Polynomials
Geometry: Area & Perimeter
Geometry: Volume & Surface Area
Angles & Triangles
The Pythagorean Theorem
Basic Probability
Order of Operations (PEMDAS)

Sample Questions

Sample Question 1
What is 3/4 expressed as a decimal?
  • 0.25
  • 0.5
  • 0.75
  • 1.25
Convert the fraction to division: 3/4 means 3 ÷ 4, which equals 0.75. You can also think of this as 75 hundredths.
Sample Question 2
What is the value of sin(30°)?
  • 0
  • 0.5
  • 0.707
  • 1
sin(30°) = 1/2 = 0.5. This is a standard trigonometric value to memorize.
Sample Question 3
What is sin(30°)?
  • 1/2
  • √2/2
  • √3/2
  • 1
sin(30°) = 1/2 is a standard trigonometric value.

Study Tips for Mathematics Knowledge

Memorize Key Formulas

Know the formulas for area, perimeter, volume, and the Pythagorean theorem. These appear frequently and are not provided on the test.

Practice Algebra Daily

Solving equations and simplifying expressions are the most common MK question types. Practice these skills until they become automatic.

Review Geometry Basics

Know the properties of common shapes (triangles, circles, rectangles). Understand how to calculate area, perimeter, and volume.