Number arrangement

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

Make numbers from digit cards Build the Largest or Smallest Value from Digit Cards → Branching State Enumeration

Largest and smallest product Build the Largest or Smallest Value from Digit Cards → Branching State Enumeration

Express a number as consecutive sums Sum of Evenly Spaced Numbers via the Middle → Small-Domain Constrained Search

Find each digit from sum and difference Find Two Unknowns from Sum and Difference → Small-Domain Constrained Search

Combine containers to hit a target capacity Decompose a Number into Parts and Factors → Small-Domain Constrained Search

Comparing sizes of fractions Compare Fractions and Decimals by Structure → Multiplicative Ratio with Integrality Constraints

Ascending, descending, palindrome numbers Pin Down a Number from Digit and Range Conditions → Casework by Position / Vertex Type

Build an equation meeting given conditions Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Arrange cards for the smallest valid result Build the Largest or Smallest Value from Digit Cards → Branching State Enumeration

Write multiplication equations for arrays Multiplication as Equal Groups → Small-Domain Constrained Search

Numbers with swapped digit places Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Largest and smallest from flipped cards Build the Largest or Smallest Value from Digit Cards → Casework by Position / Vertex Type

Make the largest and smallest number Build the Largest or Smallest Value from Digit Cards → Casework by Position / Vertex Type

Find a Number Meeting Digit Conditions Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Numbers satisfying several conditions Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Fill circles so paired products match Decompose a Number into Parts and Factors → Small-Domain Constrained Search

Build division to extremize quotient or remainder Build the Largest or Smallest Value from Digit Cards → Branching State Enumeration

Possible remainder values Divisibility and Remainder Reasoning → Small-Domain Constrained Search

Recover hidden digits in long division Recover Hidden Digits from Carries → Small-Domain Constrained Search

Find a number meeting given conditions Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Recover the starting number Work Backwards to Recover a Start Value → Branching State Enumeration

Complete the multiplication equation Recover Hidden Digits from Carries → Small-Domain Constrained Search

Number satisfying sum and product clues Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Complete an arithmetic placement puzzle Pin Down a Number from Digit and Range Conditions → Branching State Enumeration

Build division expressions meeting conditions Divisibility and Remainder Reasoning → Small-Domain Constrained Search

Arrange digit cards to hit a target number Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search

Build fractions from digit cards Build the Largest or Smallest Value from Digit Cards → Branching State Enumeration

Insert plus or minus to make an equation true Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search