55 team knockout fixture
55 teams: 9 byes, 46 teams play Round I, 54 matches over 6 rounds.
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Knockout fixture — 55 teams · 9 byes · 54 matches · 6 rounds
TournamentVenueDate
- Total byes
- 9
- teams that do not play Round 1
- Byes in each half
- Upper 4Lower 5
- Teams in each half
- Upper 28Lower 27
- Total matches
- 54
- not including a third-place match
- Total rounds
- 6
- worked out from the textbook illustrations
- Byes go to teams
- 1, 2, 27, 28, 29, 30, 53, 54, 55
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 55 in order. Without names, the bracket shows Team 1, Team 2…
The textbook places teams by lottery. Shuffle gives the names random serial numbers.
Names stay in this browser only. Nothing is saved or sent.
Match list (text)
Round I
- Team 1 gets a bye
- Team 2 gets a bye
- Match 1: Team 3 vs Team 4
- Match 2: Team 5 vs Team 6
- Match 3: Team 7 vs Team 8
- Match 4: Team 9 vs Team 10
- Match 5: Team 11 vs Team 12
- Match 6: Team 13 vs Team 14
- Match 7: Team 15 vs Team 16
- Match 8: Team 17 vs Team 18
- Match 9: Team 19 vs Team 20
- Match 10: Team 21 vs Team 22
- Match 11: Team 23 vs Team 24
- Match 12: Team 25 vs Team 26
- Team 27 gets a bye
- Team 28 gets a bye
- Team 29 gets a bye
- Team 30 gets a bye
- Match 13: Team 31 vs Team 32
- Match 14: Team 33 vs Team 34
- Match 15: Team 35 vs Team 36
- Match 16: Team 37 vs Team 38
- Match 17: Team 39 vs Team 40
- Match 18: Team 41 vs Team 42
- Match 19: Team 43 vs Team 44
- Match 20: Team 45 vs Team 46
- Match 21: Team 47 vs Team 48
- Match 22: Team 49 vs Team 50
- Match 23: Team 51 vs Team 52
- Team 53 gets a bye
- Team 54 gets a bye
- Team 55 gets a bye
Round II
- Match 24: Team 1 vs Team 2
- Match 25: Winner of Match 1 vs Winner of Match 2
- Match 26: Winner of Match 3 vs Winner of Match 4
- Match 27: Winner of Match 5 vs Winner of Match 6
- Match 28: Winner of Match 7 vs Winner of Match 8
- Match 29: Winner of Match 9 vs Winner of Match 10
- Match 30: Winner of Match 11 vs Winner of Match 12
- Match 31: Team 27 vs Team 28
- Match 32: Team 29 vs Team 30
- Match 33: Winner of Match 13 vs Winner of Match 14
- Match 34: Winner of Match 15 vs Winner of Match 16
- Match 35: Winner of Match 17 vs Winner of Match 18
- Match 36: Winner of Match 19 vs Winner of Match 20
- Match 37: Winner of Match 21 vs Winner of Match 22
- Match 38: Winner of Match 23 vs Team 53
- Match 39: Team 54 vs Team 55
Round III
- Match 40: Winner of Match 24 vs Winner of Match 25
- Match 41: Winner of Match 26 vs Winner of Match 27
- Match 42: Winner of Match 28 vs Winner of Match 29
- Match 43: Winner of Match 30 vs Winner of Match 31
- Match 44: Winner of Match 32 vs Winner of Match 33
- Match 45: Winner of Match 34 vs Winner of Match 35
- Match 46: Winner of Match 36 vs Winner of Match 37
- Match 47: Winner of Match 38 vs Winner of Match 39
Round IV
- Match 48: Winner of Match 40 vs Winner of Match 41
- Match 49: Winner of Match 42 vs Winner of Match 43
- Match 50: Winner of Match 44 vs Winner of Match 45
- Match 51: Winner of Match 46 vs Winner of Match 47
Semi-final
- Match 52: Winner of Match 48 vs Winner of Match 49
- Match 53: Winner of Match 50 vs Winner of Match 51
Final
- Match 54: Winner of Match 52 vs Winner of Match 53
Match list
| Match no. | Round | Match | Date | Time | Venue |
|---|---|---|---|---|---|
| 1 | Round I | Team 3 vs Team 4 | |||
| 2 | Round I | Team 5 vs Team 6 | |||
| 3 | Round I | Team 7 vs Team 8 | |||
| 4 | Round I | Team 9 vs Team 10 | |||
| 5 | Round I | Team 11 vs Team 12 | |||
| 6 | Round I | Team 13 vs Team 14 | |||
| 7 | Round I | Team 15 vs Team 16 | |||
| 8 | Round I | Team 17 vs Team 18 | |||
| 9 | Round I | Team 19 vs Team 20 | |||
| 10 | Round I | Team 21 vs Team 22 | |||
| 11 | Round I | Team 23 vs Team 24 | |||
| 12 | Round I | Team 25 vs Team 26 | |||
| 13 | Round I | Team 31 vs Team 32 | |||
| 14 | Round I | Team 33 vs Team 34 | |||
| 15 | Round I | Team 35 vs Team 36 | |||
| 16 | Round I | Team 37 vs Team 38 | |||
| 17 | Round I | Team 39 vs Team 40 | |||
| 18 | Round I | Team 41 vs Team 42 | |||
| 19 | Round I | Team 43 vs Team 44 | |||
| 20 | Round I | Team 45 vs Team 46 | |||
| 21 | Round I | Team 47 vs Team 48 | |||
| 22 | Round I | Team 49 vs Team 50 | |||
| 23 | Round I | Team 51 vs Team 52 | |||
| 24 | Round II | Team 1 vs Team 2 | |||
| 25 | Round II | Winner of Match 1 vs Winner of Match 2 | |||
| 26 | Round II | Winner of Match 3 vs Winner of Match 4 | |||
| 27 | Round II | Winner of Match 5 vs Winner of Match 6 | |||
| 28 | Round II | Winner of Match 7 vs Winner of Match 8 | |||
| 29 | Round II | Winner of Match 9 vs Winner of Match 10 | |||
| 30 | Round II | Winner of Match 11 vs Winner of Match 12 | |||
| 31 | Round II | Team 27 vs Team 28 | |||
| 32 | Round II | Team 29 vs Team 30 | |||
| 33 | Round II | Winner of Match 13 vs Winner of Match 14 | |||
| 34 | Round II | Winner of Match 15 vs Winner of Match 16 | |||
| 35 | Round II | Winner of Match 17 vs Winner of Match 18 | |||
| 36 | Round II | Winner of Match 19 vs Winner of Match 20 | |||
| 37 | Round II | Winner of Match 21 vs Winner of Match 22 | |||
| 38 | Round II | Winner of Match 23 vs Team 53 | |||
| 39 | Round II | Team 54 vs Team 55 | |||
| 40 | Round III | Winner of Match 24 vs Winner of Match 25 | |||
| 41 | Round III | Winner of Match 26 vs Winner of Match 27 | |||
| 42 | Round III | Winner of Match 28 vs Winner of Match 29 | |||
| 43 | Round III | Winner of Match 30 vs Winner of Match 31 | |||
| 44 | Round III | Winner of Match 32 vs Winner of Match 33 | |||
| 45 | Round III | Winner of Match 34 vs Winner of Match 35 | |||
| 46 | Round III | Winner of Match 36 vs Winner of Match 37 | |||
| 47 | Round III | Winner of Match 38 vs Winner of Match 39 | |||
| 48 | Round IV | Winner of Match 40 vs Winner of Match 41 | |||
| 49 | Round IV | Winner of Match 42 vs Winner of Match 43 | |||
| 50 | Round IV | Winner of Match 44 vs Winner of Match 45 | |||
| 51 | Round IV | Winner of Match 46 vs Winner of Match 47 | |||
| 52 | Semi-final | Winner of Match 48 vs Winner of Match 49 | |||
| 53 | Semi-final | Winner of Match 50 vs Winner of Match 51 | |||
| 54 | Final | Winner of Match 52 vs Winner of Match 53 |
Byes (no match in Round I): Team 1, Team 2, Team 27, Team 28, Team 29, Team 30, Team 53, Team 54, Team 55. Total matches = 54.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 55 − 1
= 54
(Number of teams + 1) ÷ 2 = Teams in Upper Half
(55 + 1) ÷ 2
= 28
(Number of teams − 1) ÷ 2 = Teams in Lower Half
(55 − 1) ÷ 2
= 27
Byes = next power of 2 − number of teams participating
Byes = 64 − 55
= 9
Upper Half = (Byes − 1) ÷ 2
Upper Half = (9 − 1) ÷ 2
= 4
Lower Half = (Byes + 1) ÷ 2
Lower Half = (9 + 1) ÷ 2
= 5
First bye to last team of Lower Half, second to first team of Upper Half, third to first team of Lower Half, fourth to last team of Upper Half; same pattern for remaining byes
Byes in order go to teams 55, 1, 29, 28, 54, 2, 30, 27, 53
= 55, 1, 29, 28, 54, 2, 30, 27, 53
Rounds = number of times 2 is multiplied to get the next power of 2
64 = 2 × 2 × 2 × 2 × 2 × 2
= 6
Note: Not a textbook formula — worked out from the textbook illustrations (4 teams → 2 rounds, 8 → 3, 11 → 4)
SourceCBSE Physical Education Class XII, Unit 1 (PDF)
How the 55 team fixture is drawn
Upper half and lower half
55 is odd, so the upper half gets (55 + 1) ÷ 2 = 28 teams (Teams 1–28) and the lower half gets (55 − 1) ÷ 2 = 27 teams (Teams 29–55).
Byes
Byes = next power of 2 − number of teams = 64 − 55 = 9. 9 is odd, so the upper half gets (9 − 1) ÷ 2 = 4 byes and the lower half gets (9 + 1) ÷ 2 = 5 byes.
Which teams get the byes, and why
The textbook places byes in this order: the 1st bye to the last team of the lower half, the 2nd to the first team of the upper half, the 3rd to the first team of the lower half and the 4th to the last team of the upper half. The remaining byes follow the same pattern, moving inward. For 55 teams:
- Team 55 — last team of the lower half
- Team 1 — first team of the upper half
- Team 29 — first team of the lower half
- Team 28 — last team of the upper half
- Team 54 — 2nd-last team of the lower half
- Team 2 — 2nd team of the upper half
- Team 30 — 2nd team of the lower half
- Team 27 — 2nd-last team of the upper half
- Team 53 — 3rd-last team of the lower half
Teams with a bye do not play Round I. They go straight to Round II.
Round I and total matches
55 − 9 = 46 teams play Round I in 23 matches:
- Match 1: Team 3 vs Team 4
- Match 2: Team 5 vs Team 6
- Match 3: Team 7 vs Team 8
- Match 4: Team 9 vs Team 10
- Match 5: Team 11 vs Team 12
- Match 6: Team 13 vs Team 14
- Match 7: Team 15 vs Team 16
- Match 8: Team 17 vs Team 18
- Match 9: Team 19 vs Team 20
- Match 10: Team 21 vs Team 22
- Match 11: Team 23 vs Team 24
- Match 12: Team 25 vs Team 26
- Match 13: Team 31 vs Team 32
- Match 14: Team 33 vs Team 34
- Match 15: Team 35 vs Team 36
- Match 16: Team 37 vs Team 38
- Match 17: Team 39 vs Team 40
- Match 18: Team 41 vs Team 42
- Match 19: Team 43 vs Team 44
- Match 20: Team 45 vs Team 46
- Match 21: Team 47 vs Team 48
- Match 22: Team 49 vs Team 50
- Match 23: Team 51 vs Team 52
Total number of matches = number of teams − 1 = 55 − 1 = 54 (not including a third-place match). There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 — worked out from the textbook illustrations, not a textbook formula.
Print or save as PDF
Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 55 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.
Questions
How many byes are there in a 55 team knockout fixture?
Byes = next power of 2 − number of teams = 64 − 55 = 9. 9 is odd, so the upper half gets (9 − 1) ÷ 2 = 4 byes and the lower half gets (9 + 1) ÷ 2 = 5 byes. The byes go, in order, to teams 55, 1, 29, 28, 54, 2, 30, 27 and 53. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 55 teams?
Total number of matches = number of teams − 1 = 55 − 1 = 54, not including a third-place match. There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).
How are 55 teams divided into the upper and lower half?
55 is odd, so the upper half gets (55 + 1) ÷ 2 = 28 teams (Teams 1–28) and the lower half gets (55 − 1) ÷ 2 = 27 teams (Teams 29–55).
Can I print the 55 team knockout fixture or save it as a PDF?
Yes. Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 55 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.