SOLPrep.com

Discrete Mathematics SOL Study Guide

Practice for the Discrete Mathematics Virginia SOL test across all 16 standards and 4 strands. SOL Prep turns every standard into a diagnostic, guided notes, flashcards, and SOL-style practice questions — so you drill what you’re actually weak on instead of re-reviewing what you know.

Practice Discrete MathematicsAll Math courses

Discrete Mathematics SOL practice tests

Two ways to practice Discrete Mathematics: work through official released items from the Virginia Department of Education, or drill standard by standard with SOL Prep.

What Discrete Mathematics covers

Logical Reasoning

  • DM.LR.1 — Develop and apply logical arguments using reasoning and symbolic logic.
  • DM.LR.2 — Apply logic and proof techniques to construct sound arguments.
  • DM.LR.3 — Apply Boolean algebra to represent and analyze logical gates and circuits.
  • DM.LR.4 — Use mathematical induction to prove formulas and mathematical statements.

Set and Number Theory

  • DM.SNT.1 — Identify and use properties of sets and set operations.
  • DM.SNT.2 — Apply formulas of combinatorics.
  • DM.SNT.3 — Use Pascal's Triangle to analyze numerical patterns and relationships.

Graph Theory

  • DM.GT.1 — Represent problems using vertex-edge graphs and analyze graph properties.
  • DM.GT.2 — Solve problems using circuits, cycles, Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits.
  • DM.GT.3 — Apply graphs to conflict-resolution problems such as graph coloring, scheduling, matching, and optimization.
  • DM.GT.4 — Recognize and apply algorithms to solve configuration, conflict-resolution, and sorting problems.
  • DM.GT.5 — Use algorithms to schedule tasks and determine minimum project time.

Computational Methods

  • DM.CM.1 — Describe and apply sorting and searching algorithms used in processing and communicating information.
  • DM.CM.2 — Use recursive processes.
  • DM.CM.3 — Identify and apply cryptographic methods.
  • DM.CM.4 — Analyze the limitations of algorithms and their contextual relationships in computing.

Frequently asked questions

What is on the Discrete Mathematics SOL test?

The Discrete Mathematics Virginia SOL test is organized into 4 reporting strands: Logical Reasoning, Set and Number Theory, Graph Theory, Computational Methods. It assesses the 16 Standards of Learning listed on this page.

How many standards does Discrete Mathematics cover?

Discrete Mathematics covers 16 individual Virginia SOL standards across its 4 strands.

Where can I find Discrete Mathematics SOL practice tests?

The Virginia Department of Education publishes official released tests and practice items at doe.virginia.gov — see our Virginia SOL practice tests guide for direct links. SOL Prep adds standard-by-standard practice for each of the 16 Discrete Mathematics standards below.

How should I study for the Discrete Mathematics SOL?

Start with a diagnostic to find which of the 16 Discrete Mathematics standards you're weakest on, then focus practice there instead of re-reviewing what you already know. Work each standard's skills, then take a mixed practice check.