Curriculum → Competition
75 correspondences — curriculum (depth) archetypes funnel through reasoning problems into 19 competition types. The number is how many reasoning problems bridge each pair.
Small-Domain Constrained Search 58
Solve a Table or Graph Step by Step from Clues 12 problems
Recover Hidden Digits from Carries 9 problems
Divisibility and Remainder Reasoning 5 problems
Decompose a Number into Parts and Factors 3 problems
Find Two Unknowns from Sum and Difference 2 problems
Length as Sum of Parts with Unit Matching 2 problems
Compare Fractions and Decimals by Structure 1 problems
Count Distinct Reachable Totals 1 problems
Division as the Inverse of Multiplication 1 problems
Equivalent Fractions by Scaling 1 problems
Inequality Range Membership 1 problems
Infer the Hidden Classification Rule 1 problems
Multiplication as Equal Groups 1 problems
Sum of Evenly Spaced Numbers via the Middle 1 problems
Systematically Count Shapes in a Figure 1 problems
Tile and Cut Figures with Congruent Pieces 1 problems
Transfer a Relation by Analogy 1 problems
Arithmetic Expression Decomposition 32
Elapsed Time and Base-Sixty Regrouping 5 problems
Apply a Newly Defined Operation 4 problems
Length as Sum of Parts with Unit Matching 3 problems
Read and Scale a Data Graph 3 problems
Work Backwards to Recover a Start Value 3 problems
Multiplicative Comparison and Unit Rate 2 problems
Overlap Reduces the Total 2 problems
Place-Value Regrouping 2 problems
Radius and Diameter Relationships 2 problems
Track a Quantity Through Changes 2 problems
Decompose a Number into Parts and Factors 1 problems
Generalize a Growing Pattern into a Rule 1 problems
Objects versus Gaps (Fencepost Counting) 1 problems
Sum of Evenly Spaced Numbers via the Middle 1 problems
Branching State Enumeration 21
Decompose a Number into Parts and Factors 3 problems
Work Backwards to Recover a Start Value 3 problems
Multiplication as Equal Groups 2 problems
Tile and Cut Figures with Congruent Pieces 2 problems
Apply a Newly Defined Operation 1 problems
Enumerate Digit-Card Arrangements 1 problems
Probability as Outcome Fraction 1 problems
Lattice / Grid Pattern from Small Cases 17
Generalize a Growing Pattern into a Rule 11 problems
Sum of Evenly Spaced Numbers via the Middle 2 problems
Objects versus Gaps (Fencepost Counting) 1 problems
Repeating Cycle Patterns 1 problems
Systematically Count Shapes in a Figure 1 problems
Casework by Position / Vertex Type 16
Systematically Count Shapes in a Figure 11 problems
Classify Objects by Attribute 1 problems
Place-Value Regrouping 1 problems
Modular Cycle Frequency Count 5
Repeating Cycle Patterns 5 problems
Pair-Sum Invariant 5
Sum of Evenly Spaced Numbers via the Middle 3 problems
Perimeter by Tracing Every Side 1 problems
Tile and Cut Figures with Congruent Pieces 1 problems
Path Length Comparison & Shortest Path 5
Length as Sum of Parts with Unit Matching 3 problems
Count Shortest Lattice Paths 1 problems
Radius and Diameter Relationships 1 problems
Multiplicative Ratio with Integrality Constraints 4
Equivalent Fractions by Scaling 2 problems
Compare Fractions and Decimals by Structure 1 problems
Work Backwards to Recover a Start Value 1 problems
Grid Tiling / Packing with Divisibility 3
Tile and Cut Figures with Congruent Pieces 3 problems
Net Folding / Face Adjacency 3
Net and Solid Structure 3 problems
Paper Fold-and-Cut Symmetry 3
Transformations Preserve Measures 3 problems
Compound Area by Decomposition / Difference 2
Part-Whole Fraction Reasoning 2 problems
Constraint Graph Coloring 2
Chain by One Attribute Change 1 problems
Find Shared and Differing Attributes 1 problems
Overlap / Complement Counting 2
Classify Objects by Attribute 1 problems
Systematically Count Shapes in a Figure 1 problems
Units-Digit Tracking 2
Repeating Cycle Patterns 2 problems
Coordinate Plane Figure Computation 1
Read and Scale a Data Graph 1 problems
Geometric Series Share 1
Generalize a Growing Pattern into a Rule 1 problems
Meeting Time with Piecewise Rates 1
Multiplicative Comparison and Unit Rate 1 problems