Before you start
Most popular
Graph Explorer Trace the Seven Bridges of Königsberg — walk nodes and edges to see what a path can and cannot do.
Counting Lab Work out permutations, combinations, and the pigeonhole principle — count without listing.
Mixed Practice A short round across the kits you have played — spaced so it sticks.
Discrete Duel Play a friend on one device — same questions, highest first-try score wins. All activities
Explore & count
Graph Explorer Trace the Seven Bridges of Königsberg — walk nodes and edges and discover why some walks are impossible. Cube Cover Slide a cube to cover every tile once and reach the flag — a Hamiltonian path, the graph-theory twin of the Euler walks in the Graph Explorer. Counting Lab Permutations, combinations, and the pigeonhole principle — count the possibilities without listing them all. Truth-Table Lab Propositional logic made visible — predict whether a formula (AND, OR, NOT, if-then) is always true, always false, or sometimes true, then build the truth table. De Morgan, the contrapositive, and the if-then surprise.
Learn & practice
Play together
Discrete Duel 2–4 players take turns on one device — same questions, highest first-try score wins. Adventure Map A progression trail through every kit — clear each stop of real practice, then move on. Progress Your levels, streak, and how each track is coming along — saved on this device. Progress report For grown-ups — a private on-device snapshot mapped to the skill areas. Export a CSV or print.
Concept Kits — 16 kits of discrete math
Kit 1: Sets and Sorting Foundations · 4-5 · 25 questions Kit 2: Counting and Patterns Counting & Combinatorics · 4-5 · 25 questions Kit 3: Logic and Truth Tables Logic & Graphs · 5-6 · 25 questions Kit 4: Graph Theory Basics Logic & Graphs · 5-6 · 25 questions Kit 5: Combinatorics and Probability Counting & Combinatorics · 6-7 · 25 questions Kit 6: Recursion and Sequences Recursion, Number Theory & Algorithms · 6-7 · 25 questions Kit 7: Number Theory and Cryptography Logic & Graphs · 7-8 · 25 questions Kit 8: Algorithm Design and Complexity Recursion, Number Theory & Algorithms · 7-8 · 25 questions Kit 9: Elements & Principles Deep Dive Connections & Real-World · 5-6 · 25 questions Kit 10: Cultural & Historical Context Connections & Real-World · 6-7 · 25 questions Kit 11: Creative Process & Critique Connections & Real-World · 6-7 · 25 questions Kit 12: Professional Practice & Careers Connections & Real-World · 7-8 · 25 questions Kit 13: Cross-Topic Connections Connections & Real-World · 5-6 · 25 questions Kit 14: Real-World Applications Connections & Real-World · 6-7 · 25 questions Kit 15: Misconceptions & Reasoning Connections & Real-World · 6-7 · 25 questions Kit 16: Advanced Synthesis Connections & Real-World · 7-8 · 25 questions
More ways to play
Same idea, another world
😄 Brain break
Meet the cast — the characters who teach this
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Sortie the Set-Curator Sets, subsets, set operations (union, intersection, difference) -
Tally the Pattern-Counter Counting principles and combinatorics (multiplication rule, permutations, combinations) -
Verity the Truth-Tester Propositional logic, truth tables, AND/OR/NOT operators -
Wander the Bridge-Walker Graph theory — Eulerian paths, Hamiltonian paths, connectivity -
Coil the Self-Reference Recursion and sequences (Fibonacci, factorials, recursive patterns) -
Prime the Indivisible Number theory — primes, factorization, modular arithmetic -
Cubby the Cubby-Keeper The pigeonhole principle — when there are more things than places, at least one place must hold two -
Swatch the Border-Painter Graph coloring — coloring connected things so no two neighbors match, with the fewest colors -
Marshal the Line-Arranger Permutations — counting arrangements where order matters (factorials, ordered choices) -
Twoby the Pair-Matcher Parity and invariant arguments — even/odd pairing that proves what's possible -
Surge the Growth-Racer Order of growth — how the work scales as a problem gets bigger
Ensemble stories — the cast together