PRACTICE COLLECTION

Peg Solitaire — Foundations: read the board before moving

Four studies in legal moves and their immediate effects. Make a prediction, test it, and compare the starting-position answer.

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.

One legal jump to finish

Identify a legal orthogonal jump: occupied source, occupied middle, empty landing. Finish with one peg.

The middle peg matters

Identify a legal orthogonal jump: occupied source, occupied middle, empty landing. Finish with one peg.

Count the work remaining

Starting with 4 pegs, how many jumps would a one-peg finish require? Find a route that actually makes all of them.

A count is not a plan

Starting with 5 pegs, how many jumps would a one-peg finish require? Find a route that actually makes all of them.

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