Shape enumeration
21 reasoning problems in this domain. Each starts from a depth archetype and bridges toward a competition type.
Split a rectangle into product tiles Tile and Cut Figures with Congruent Pieces
Counting non-square rectangles Systematically Count Shapes in a Figure
Counting right triangles in a figure Systematically Count Shapes in a Figure
Counting squares in a figure Systematically Count Shapes in a Figure
Divide a shape with straight cuts Tile and Cut Figures with Congruent Pieces
Fold and cut paper, predict shapes Transformations Preserve Measures
Overlap shapes and count figures Systematically Count Shapes in a Figure
Count all large and small shapes Systematically Count Shapes in a Figure
Counting right triangles on a dot grid Systematically Count Shapes in a Figure
Counting squares including tilted ones Systematically Count Shapes in a Figure
Draw lines to hit a target shape count Systematically Count Shapes in a Figure
Trace target shapes along straight lines Systematically Count Shapes in a Figure
Count shapes from points on open lines Systematically Count Shapes in a Figure
Count all shapes on a dot grid Systematically Count Shapes in a Figure
Count circles in an overlapping figure Systematically Count Shapes in a Figure
Count cubes in a stacked solid net-and-solid-structure
Draw the top-view outline net-and-solid-structure
Count ways to tile with one piece Tile and Cut Figures with Congruent Pieces
Tile a rectangle with distinct pieces Tile and Cut Figures with Congruent Pieces
Count distinct shapes from joined pieces Tile and Cut Figures with Congruent Pieces
Top, front, and side views net-and-solid-structure