Linear Arrangement
People sit in a single row. Fix the most concrete clue first (someone at an end, or two people adjacent), then add relative clues ('A is to the immediate left of B'). Decide the facing direction — if all face North, 'left' is the arranger's left.
Build from the firmest clue
Draw the row of empty seats, then place the most definite clue first (an end seat, or a fixed adjacency). Add relative clues around it. Pencil in only what is forced — leave the rest blank.
✅ Solved examples
✏️ Practice — try these, take hints as needed
📝 Topic test — 8 questions
Auto-graded with full solutions; saved to your dashboard. Use the calculator and formula sheet (top-right) any time.
Formula Reference Sheet
Ranking & arrangement keys
| Total from two ranks | Total = (rank from left) + (rank from right) − 1 |
|---|---|
| Rank from other end | = Total − rank + 1 |
| People between | = |posA − posB| − 1 |
| Circular facing centre | left = clockwise neighbour, right = anticlockwise |
| Linear default | all face the same way unless stated |