Card-operation move-count pair choice
Card-operation move-count pair choice asks the player to determine the exact numbers of allowed swaps and flips in an exactly-three-move solution, then choose the ordered pair (swaps, flips).
ActionDetermine the exact numbers of allowed swaps and flips in an exactly-three-move solution, then choose the ordered pair (swaps, flips).
CheckComplete the card-operation move-count pair choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Casework cover board
Casework cover board asks the player to cover all cases with chips and mark missing, duplicate, or impossible cases.
ActionCover all cases with chips and mark missing, duplicate, or impossible cases.
CheckComplete the casework cover board action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Geometric network minimum-cost entry
Geometric network minimum-cost entry asks the player to interpret an exact geometric network domain, optionally construct a candidate, and enter the globally minimal length or cost in the declared unit.
ActionInterpret an exact geometric network domain, optionally construct a candidate, and enter the globally minimal length or cost in the declared unit.
CheckComplete the geometric network minimum-cost entry action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Invariant game challenge choice
Invariant game challenge choice asks the player to predict possible or impossible final state in a constrained move game using an invariant proof card.
ActionPredict possible or impossible final state in a constrained move game using an invariant proof card.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Invariant move legal-illegal mark
Invariant move legal-illegal mark asks the player to mark whether a proposed move preserves a named invariant.
ActionMark whether a proposed move preserves a named invariant.
CheckComplete the invariant move legal-illegal mark action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Orthogonal-grid removal counterexample strategy
Orthogonal-grid removal counterexample strategy asks the player to disprove a universal score guarantee in a centrally symmetric orthogonal-grid removal game by submitting a valid value assignment and a complete legal counter-strategy.
ActionDisprove a universal score guarantee in a centrally symmetric orthogonal-grid removal game by submitting a valid value assignment and a complete legal counter-strategy.
CheckComplete the orthogonal-grid removal counterexample strategy action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Pigeonhole box guarantee choice
Pigeonhole box guarantee choice asks the player to choose the guaranteed conclusion from objects and boxes or capacities.
ActionChoose the guaranteed conclusion from objects and boxes or capacities.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Region-doorway trail-start choice
Region-doorway trail-start choice asks the player to interpret a complete undirected regions-and-doorways graph and select the unique start region for a trail using every doorway exactly once and ending at a named region.
ActionInterpret a complete undirected regions-and-doorways graph and select the unique start region for a trail using every doorway exactly once and ending at a named region.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Switch-bulb one-visit identification
Switch-bulb one-visit identification asks the player to determine a legal ordered switch strategy and use the one inspection to identify the complete switch-to-lamp correspondence.
ActionDetermine a legal ordered switch strategy and use the one inspection to identify the complete switch-to-lamp correspondence.
CheckComplete the switch-bulb one-visit identification action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Transport-crossing sequence proof
Transport-crossing sequence proof asks the player to construct and order a legal crossing sequence, then complete a bounded optimality-and-uniqueness certificate.
ActionConstruct and order a legal crossing sequence, then complete a bounded optimality-and-uniqueness certificate.
CheckComplete the transport-crossing sequence proof action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing
Unique-perfect-matching edge extremum proof
Unique-perfect-matching edge extremum proof asks the player to for a balanced finite bipartite graph constrained to have a unique perfect matching, submit the maximum edge count, an upper-bound certificate, and an attaining construction.
ActionFor a balanced finite bipartite graph constrained to have a unique perfect matching, submit the maximum edge count, an upper-bound certificate, and an attaining construction.
CheckComplete the unique-perfect-matching edge extremum proof action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Word problems are confusing