PAPER PRACTICE
Minefield: Prove a move or keep it undecided
Three fixed studies, followed by separate answer pages. The links and IDs match the online collection.
Reveal all safe squares on a six-by-six board with six mines. A revealed number counts mines in all eight neighbouring directions. Flags are your notes, not proof. The fixed studies begin with a supplied safe opening; they reveal one selected cell per click so you can inspect each inference. The regular arcade game expands zero areas automatically.
Paper Minefield task: classify only squares you can prove safe or mined from the printed opening clues. Leave other squares undecided. Revealing new numbers to clear the entire field requires the online version. The answer page shows deductions available from this opening, not the full hidden layout.
Use your browser’s Print command or Save as PDF. Both A4 and US Letter fit the diagrams. To keep answers separate, print only the challenge pages. The answer pages contain two useful checkpoints; the online practice page contains the complete checked route.
CHALLENGE 1
Minefield study 7
| C1 | C2 | C3 | C4 | C5 | C6 | |
|---|---|---|---|---|---|---|
| R1 | ||||||
| R2 | ||||||
| R3 | ||||||
| R4 | ||||||
| R5 | ||||||
| R6 |
Explain one move you can prove. Which displayed clue or rule supports it?
Reason: ____________________________________________________
___________________________________________________________
CHALLENGE 2
Minefield study 8
| C1 | C2 | C3 | C4 | C5 | C6 | |
|---|---|---|---|---|---|---|
| R1 | ||||||
| R2 | ||||||
| R3 | ||||||
| R4 | ||||||
| R5 | ||||||
| R6 |
Explain one move you can prove. Which displayed clue or rule supports it?
Reason: ____________________________________________________
___________________________________________________________
CHALLENGE 3
Minefield study 9
| C1 | C2 | C3 | C4 | C5 | C6 | |
|---|---|---|---|---|---|---|
| R1 | ||||||
| R2 | ||||||
| R3 | ||||||
| R4 | ||||||
| R5 | ||||||
| R6 |
Explain one move you can prove. Which displayed clue or rule supports it?
Reason: ____________________________________________________
___________________________________________________________
ANSWER 1
Minefield study 7
| C1 | C2 | C3 | C4 | C5 | C6 | |
|---|---|---|---|---|---|---|
| R1 | ||||||
| R2 | ||||||
| R3 | ||||||
| R4 | ||||||
| R5 | ||||||
| R6 |
Two checkpoints in the solution
- clue 1 at R2C5 still requires 1 mine among R3C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R3C6 is a mine.
- clue 1 at R3C4 still requires 1 mine among R4C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C5 is a mine.
This key opens or flags only cells proved from the printed starting clues. Remaining question marks are not settled by these opening deductions. For a complete solve with newly revealed clues, use the online study.
ANSWER 2
Minefield study 8
| C1 | C2 | C3 | C4 | C5 | C6 | |
|---|---|---|---|---|---|---|
| R1 | ||||||
| R2 | ||||||
| R3 | ||||||
| R4 | ||||||
| R5 | ||||||
| R6 |
Two checkpoints in the solution
- clue 1 at R6C2 requires 1 mines in {R6C1, R5C1}; clue 2 at R5C2 requires 2 in its superset {R5C1, R4C1, R6C1}. Subtracting leaves 1 mines in the 1 extra square. Therefore R4C1 is a mine.
- clue 1 at R6C4 requires 1 mines in {R6C5, R5C5}; clue 2 at R5C4 requires 2 in its superset {R5C5, R4C5, R6C5}. Subtracting leaves 1 mines in the 1 extra square. Therefore R4C5 is a mine.
This key opens or flags only cells proved from the printed starting clues. Remaining question marks are not settled by these opening deductions. For a complete solve with newly revealed clues, use the online study.
ANSWER 3
Minefield study 9
| C1 | C2 | C3 | C4 | C5 | C6 | |
|---|---|---|---|---|---|---|
| R1 | ||||||
| R2 | ||||||
| R3 | ||||||
| R4 | ||||||
| R5 | ||||||
| R6 |
Two checkpoints in the solution
- clue 1 at R2C1 requires 1 mines in {R1C1, R1C2}; clue 2 at R2C2 requires 2 in its superset {R1C2, R1C1, R1C3}. Subtracting leaves 1 mines in the 1 extra square. Therefore R1C3 is a mine.
- clue 1 at R4C1 requires 1 mines in {R5C1, R5C2}; clue 1 at R4C2 requires 1 in its superset {R5C2, R5C1, R5C3}. Subtracting leaves 0 mines in the 1 extra square. Therefore R5C3 is safe.
This key opens or flags only cells proved from the printed starting clues. Remaining question marks are not settled by these opening deductions. For a complete solve with newly revealed clues, use the online study.