PRACTICE COLLECTION

Peg Solitaire — Decisions: compare what happens next

Four studies in future consequences. Distinguish a verified finish, a short tactical proof and a useful feature that does not establish a win.

Print these four studies with answers

Use a prediction, a test and a reason

  1. Read the task before opening the answer. Say where a move lands or what it changes.
  2. Test it on the playable board. In two-player studies, play both sides to inspect a reply.
  3. Undo and compare one alternative. Use the answer’s stated search limit when explaining the result.
  4. Repeat the decision on paper, where the move cannot be checked for you automatically.

These are teaching groups, not a player-tested difficulty ladder. The four board IDs match the technique examples, individual study pages and print pack.

Choose between two futures

Compare all legal first jumps. Which preserve a one-peg finish, and which strand the position? Then play a successful branch.

Read a finish backwards

Imagine undoing the final jump: one peg splits into two with an empty landing left behind. Use that idea to explain a complete forward finish.

Build and unwind a longer chain

Imagine undoing the final jump: one peg splits into two with an empty landing left behind. Use that idea to explain a complete forward finish.

Bring the idea to a fresh round

Every classic jump removes exactly one peg, so a successful finish from N pegs uses N minus 1 jumps. That arithmetic does not prove a successful sequence exists. An available continuation is not proof of eventual solvability. Exact winning or losing claims require a complete checked sequence or exhaustive search of the stated position. The live generator uses reverse jumps to build reachable layouts, but a poor forward choice can still strand the pegs.

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Playfield Arcade · Updated 3 October 2026 · AI-assisted writing and code; examples checked against the local game rules. Our method · Report a correction