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23 reasoning problems in this domain. Each starts from a depth archetype and bridges toward a competition type.

Add and subtract by splitting numbers Place-Value Regrouping → Arithmetic Expression Decomposition
Daylight length from sunrise and sunset Elapsed Time and Base-Sixty Regrouping → Arithmetic Expression Decomposition
Work backwards in fraction word problems Work Backwards to Recover a Start Value → Multiplicative Ratio with Integrality Constraints
Broken Clock: Constant Error Rate Multiplicative Comparison and Unit Rate → Arithmetic Expression Decomposition
Convert between clock time systems Elapsed Time and Base-Sixty Regrouping → Arithmetic Expression Decomposition
Round-Trip Elapsed Time Elapsed Time and Base-Sixty Regrouping → Arithmetic Expression Decomposition
Find a city's time from the offset Elapsed Time and Base-Sixty Regrouping → Arithmetic Expression Decomposition
Total length of a bent string Length as Sum of Parts with Unit Matching → Arithmetic Expression Decomposition
Complete and interpret a data table Read and Scale a Data Graph → Arithmetic Expression Decomposition
Complete and interpret a graph Read and Scale a Data Graph → Arithmetic Expression Decomposition
Direction and distance reasoning Length as Sum of Parts with Unit Matching → Path Length Comparison & Shortest Path
Measure one length in different units Length as Sum of Parts with Unit Matching → Arithmetic Expression Decomposition
Meeting time of two movers Multiplicative Comparison and Unit Rate → Meeting Time with Piecewise Rates
Comparing speeds and distances Multiplicative Comparison and Unit Rate → Arithmetic Expression Decomposition
Name shaded part as a fraction Part-Whole Fraction Reasoning → Compound Area by Decomposition / Difference
Shade a fraction of a shape Part-Whole Fraction Reasoning → Compound Area by Decomposition / Difference
Fraction word problems via backward reasoning Work Backwards to Recover a Start Value → Arithmetic Expression Decomposition
Read pictographs for category totals Read and Scale a Data Graph → Arithmetic Expression Decomposition
Total Length with Gaps or Overlaps Overlap Reduces the Total → Arithmetic Expression Decomposition
Arcs centered at polygon vertices Radius and Diameter Relationships → Arithmetic Expression Decomposition
Distance between points on a line Length as Sum of Parts with Unit Matching → Arithmetic Expression Decomposition
Perimeter of a figure enclosing circles Radius and Diameter Relationships → Arithmetic Expression Decomposition
Compare and order fractions Compare Fractions and Decimals by Structure → Small-Domain Constrained Search