Modular Arithmetic: Foundations
Seven foundations problems with complete solutions for modular arithmetic.
Published September 7, 2025 Open set + key
112 practice sets, each with a complete answer key.
Choose foundations, extension, or mixed review. Every four-page PDF contains seven developed problems, generous working space, and concise solutions that explain the method rather than listing only an answer.
Built for actual practice 5-10 question target: each current set contains 7.
112 practice sets Open teaching decks
Modular Arithmetic: Extension
Seven extension problems with complete solutions for modular arithmetic.
Published September 9, 2025 Open set + key
Graph Theory: Foundations
Seven foundations problems with complete solutions for graph theory.
Published September 12, 2025 Open set + key
Graph Theory: Extension
Seven extension problems with complete solutions for graph theory.
Published September 13, 2025 Open set + key
Combinatorics: Foundations
Seven foundations problems with complete solutions for combinatorics.
Published September 18, 2025 Open set + key
Combinatorics: Extension
Seven extension problems with complete solutions for combinatorics.
Published September 24, 2025 Open set + key
Proof and Induction: Foundations
Seven foundations problems with complete solutions for proof and induction.
Published September 25, 2025 Open set + key
Proof and Induction: Extension
Seven extension problems with complete solutions for proof and induction.
Published September 29, 2025 Open set + key
Monoids: Foundations
Seven foundations problems with complete solutions for monoids.
Published October 3, 2025 Open set + key
Monoids: Extension
Seven extension problems with complete solutions for monoids.
Published October 4, 2025 Open set + key
Applied Optimization: Foundations
Seven foundations problems with complete solutions for applied optimization.
Published October 6, 2025 Open set + key
Applied Optimization: Extension
Seven extension problems with complete solutions for applied optimization.
Published October 7, 2025 Open set + key
Expected Value: Foundations
Seven foundations problems with complete solutions for expected value.
Published October 9, 2025 Open set + key
Expected Value: Extension
Seven extension problems with complete solutions for expected value.
Published October 20, 2025 Open set + key
Invariants: Foundations
Seven foundations problems with complete solutions for invariants.
Published October 21, 2025 Open set + key
Invariants: Extension
Seven extension problems with complete solutions for invariants.
Published October 27, 2025 Open set + key
Euclidean Algorithm: Foundations
Seven foundations problems with complete solutions for euclidean algorithm.
Published November 1, 2025 Open set + key
Euclidean Algorithm: Extension
Seven extension problems with complete solutions for euclidean algorithm.
Published November 2, 2025 Open set + key
Prime Factorization: Foundations
Seven foundations problems with complete solutions for prime factorization.
Published November 5, 2025 Open set + key
Prime Factorization: Extension
Seven extension problems with complete solutions for prime factorization.
Published November 10, 2025 Open set + key
Linear Diophantine Equations: Foundations
Seven foundations problems with complete solutions for linear diophantine equations.
Published November 11, 2025 Open set + key
Linear Diophantine Equations: Extension
Seven extension problems with complete solutions for linear diophantine equations.
Published November 15, 2025 Open set + key
Chinese Remainder Theorem: Foundations
Seven foundations problems with complete solutions for chinese remainder theorem.
Published November 19, 2025 Open set + key
Chinese Remainder Theorem: Extension
Seven extension problems with complete solutions for chinese remainder theorem.
Published November 20, 2025 Open set + key
Fermat and Euler Theorems: Foundations
Seven foundations problems with complete solutions for fermat and euler theorems.
Published November 23, 2025 Open set + key
Fermat and Euler Theorems: Extension
Seven extension problems with complete solutions for fermat and euler theorems.
Published December 2, 2025 Open set + key
Base Representations: Foundations
Seven foundations problems with complete solutions for base representations.
Published December 9, 2025 Open set + key
Base Representations: Extension
Seven extension problems with complete solutions for base representations.
Published December 20, 2025 Open set + key
Pigeonhole Principle: Foundations
Seven foundations problems with complete solutions for pigeonhole principle.
Published December 24, 2025 Open set + key
Pigeonhole Principle: Extension
Seven extension problems with complete solutions for pigeonhole principle.
Published December 26, 2025 Open set + key
Inclusion-Exclusion: Foundations
Seven foundations problems with complete solutions for inclusion-exclusion.
Published December 31, 2025 Open set + key
Inclusion-Exclusion: Extension
Seven extension problems with complete solutions for inclusion-exclusion.
Published January 4, 2026 Open set + key
Binomial Coefficients: Foundations
Seven foundations problems with complete solutions for binomial coefficients.
Published January 9, 2026 Open set + key
Binomial Coefficients: Extension
Seven extension problems with complete solutions for binomial coefficients.
Published January 14, 2026 Open set + key
Recurrence Relations: Foundations
Seven foundations problems with complete solutions for recurrence relations.
Published January 15, 2026 Open set + key
Recurrence Relations: Extension
Seven extension problems with complete solutions for recurrence relations.
Published January 19, 2026 Open set + key
Generating Functions: Foundations
Seven foundations problems with complete solutions for generating functions.
Published January 20, 2026 Open set + key
Generating Functions: Extension
Seven extension problems with complete solutions for generating functions.
Published January 24, 2026 Open set + key
Catalan Numbers: Foundations
Seven foundations problems with complete solutions for catalan numbers.
Published January 29, 2026 Open set + key
Catalan Numbers: Extension
Seven extension problems with complete solutions for catalan numbers.
Published January 31, 2026 Open set + key
Trees and Spanning Trees: Foundations
Seven foundations problems with complete solutions for trees and spanning trees.
Published February 2, 2026 Open set + key
Trees and Spanning Trees: Extension
Seven extension problems with complete solutions for trees and spanning trees.
Published February 5, 2026 Open set + key
Planar Graphs: Foundations
Seven foundations problems with complete solutions for planar graphs.
Published February 7, 2026 Open set + key
Planar Graphs: Extension
Seven extension problems with complete solutions for planar graphs.
Published February 11, 2026 Open set + key
Graph Coloring: Foundations
Seven foundations problems with complete solutions for graph coloring.
Published February 13, 2026 Open set + key
Graph Coloring: Extension
Seven extension problems with complete solutions for graph coloring.
Published February 14, 2026 Open set + key
Matchings: Foundations
Seven foundations problems with complete solutions for matchings.
Published February 22, 2026 Open set + key
Matchings: Extension
Seven extension problems with complete solutions for matchings.
Published February 24, 2026 Open set + key
Shortest Paths: Foundations
Seven foundations problems with complete solutions for shortest paths.
Published February 28, 2026 Open set + key
Shortest Paths: Extension
Seven extension problems with complete solutions for shortest paths.
Published March 1, 2026 Open set + key
Conditional Probability: Foundations
Seven foundations problems with complete solutions for conditional probability.
Published March 5, 2026 Open set + key
Conditional Probability: Extension
Seven extension problems with complete solutions for conditional probability.
Published March 7, 2026 Open set + key
Bayes' Theorem: Foundations
Seven foundations problems with complete solutions for bayes' theorem.
Published March 9, 2026 Open set + key
Bayes' Theorem: Extension
Seven extension problems with complete solutions for bayes' theorem.
Published March 13, 2026 Open set + key
Random Walks: Foundations
Seven foundations problems with complete solutions for random walks.
Published March 14, 2026 Open set + key
Random Walks: Extension
Seven extension problems with complete solutions for random walks.
Published March 17, 2026 Open set + key
Markov Chains: Foundations
Seven foundations problems with complete solutions for markov chains.
Published March 18, 2026 Open set + key
Markov Chains: Extension
Seven extension problems with complete solutions for markov chains.
Published March 22, 2026 Open set + key
Inequalities: Foundations
Seven foundations problems with complete solutions for inequalities.
Published March 24, 2026 Open set + key
Inequalities: Extension
Seven extension problems with complete solutions for inequalities.
Published March 27, 2026 Open set + key
Sequences and Series: Foundations
Seven foundations problems with complete solutions for sequences and series.
Published March 28, 2026 Open set + key
Sequences and Series: Extension
Seven extension problems with complete solutions for sequences and series.
Published March 31, 2026 Open set + key
Polynomial Roots: Foundations
Seven foundations problems with complete solutions for polynomial roots.
Published April 1, 2026 Open set + key
Polynomial Roots: Extension
Seven extension problems with complete solutions for polynomial roots.
Published April 6, 2026 Open set + key
Complex Numbers: Foundations
Seven foundations problems with complete solutions for complex numbers.
Published April 11, 2026 Open set + key
Complex Numbers: Extension
Seven extension problems with complete solutions for complex numbers.
Published April 14, 2026 Open set + key
Vectors and Matrices: Foundations
Seven foundations problems with complete solutions for vectors and matrices.
Published April 17, 2026 Open set + key
Vectors and Matrices: Extension
Seven extension problems with complete solutions for vectors and matrices.
Published April 20, 2026 Open set + key
Transformations and Symmetry: Foundations
Seven foundations problems with complete solutions for transformations and symmetry.
Published April 27, 2026 Open set + key
Transformations and Symmetry: Extension
Seven extension problems with complete solutions for transformations and symmetry.
Published April 29, 2026 Open set + key
Game Theory: Foundations
Seven foundations problems with complete solutions for game theory.
Published May 1, 2026 Open set + key
Game Theory: Extension
Seven extension problems with complete solutions for game theory.
Published May 5, 2026 Open set + key
Greedy Algorithms: Foundations
Seven foundations problems with complete solutions for greedy algorithms.
Published May 9, 2026 Open set + key
Greedy Algorithms: Extension
Seven extension problems with complete solutions for greedy algorithms.
Published May 10, 2026 Open set + key
Error-Correcting Codes: Foundations
Seven foundations problems with complete solutions for error-correcting codes.
Published May 13, 2026 Open set + key
Error-Correcting Codes: Extension
Seven extension problems with complete solutions for error-correcting codes.
Published May 17, 2026 Open set + key
Introductory Cryptography: Foundations
Seven foundations problems with complete solutions for introductory cryptography.
Published May 19, 2026 Open set + key
Introductory Cryptography: Extension
Seven extension problems with complete solutions for introductory cryptography.
Published May 21, 2026 Open set + key
Mathematical Modeling: Foundations
Seven foundations problems with complete solutions for mathematical modeling.
Published May 25, 2026 Open set + key
Mathematical Modeling: Extension
Seven extension problems with complete solutions for mathematical modeling.
Published May 29, 2026 Open set + key
Embeddings and Representations: Foundations
Seven foundations problems with complete solutions for embeddings and representations.
Embeddings and Representations: Extension
Seven extension problems with complete solutions for embeddings and representations.
Distance and Cosine Similarity: Foundations
Seven foundations problems with complete solutions for distance and cosine similarity.
Distance and Cosine Similarity: Extension
Seven extension problems with complete solutions for distance and cosine similarity.
Nearest Neighbors and Evaluation: Foundations
Seven foundations problems with complete solutions for nearest neighbors and evaluation.
Nearest Neighbors and Evaluation: Extension
Seven extension problems with complete solutions for nearest neighbors and evaluation.
PCA: Reducing Dimensions: Foundations
Seven foundations problems with complete solutions for pca: reducing dimensions.
PCA: Reducing Dimensions: Extension
Seven extension problems with complete solutions for pca: reducing dimensions.
Neural Networks as Functions: Foundations
Seven foundations problems with complete solutions for neural networks as functions.
Neural Networks as Functions: Extension
Seven extension problems with complete solutions for neural networks as functions.
Training with Backpropagation: Foundations
Seven foundations problems with complete solutions for training with backpropagation.
Training with Backpropagation: Extension
Seven extension problems with complete solutions for training with backpropagation.
Mixed Review 01
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 3, 2026 Open set + key
Mixed Review 02
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 8, 2026 Open set + key
Mixed Review 03
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 10, 2026 Open set + key
Mixed Review 04
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 11, 2026 Open set + key
Mixed Review 05
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 15, 2026 Open set + key
Mixed Review 06
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 20, 2026 Open set + key
Mixed Review 07
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published June 25, 2026 Open set + key
Mixed Review 08
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 1, 2026 Open set + key
Mixed Review 09
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 4, 2026 Open set + key
Mixed Review 10
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 12, 2026 Open set + key
Mixed Review 11
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 14, 2026 Open set + key
Mixed Review 12
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 19, 2026 Open set + key
Mixed Review 13
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 22, 2026 Open set + key
Mixed Review 14
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 24, 2026 Open set + key
Mixed Review 15
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 27, 2026 Open set + key
Mixed Review 16
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 29, 2026 Open set + key
Mixed Review 17
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published July 30, 2026 Open set + key
Mixed Review 18
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published August 6, 2026 Open set + key
Mixed Review 19
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published August 7, 2026 Open set + key
Mixed Review 20
Seven cross-topic problems selected to practice method choice, explanation, and transfer.
Published August 9, 2026 Open set + key
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