61 team knockout fixture
61 teams: 3 byes, 58 teams play Round I, 60 matches over 6 rounds.
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Knockout fixture — 61 teams · 3 byes · 60 matches · 6 rounds
TournamentVenueDate
- Total byes
- 3
- teams that do not play Round 1
- Byes in each half
- Upper 1Lower 2
- Teams in each half
- Upper 31Lower 30
- Total matches
- 60
- not including a third-place match
- Total rounds
- 6
- worked out from the textbook illustrations
- Byes go to teams
- 1, 32, 61
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 61 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
- Match 1: Team 2 vs Team 3
- Match 2: Team 4 vs Team 5
- Match 3: Team 6 vs Team 7
- Match 4: Team 8 vs Team 9
- Match 5: Team 10 vs Team 11
- Match 6: Team 12 vs Team 13
- Match 7: Team 14 vs Team 15
- Match 8: Team 16 vs Team 17
- Match 9: Team 18 vs Team 19
- Match 10: Team 20 vs Team 21
- Match 11: Team 22 vs Team 23
- Match 12: Team 24 vs Team 25
- Match 13: Team 26 vs Team 27
- Match 14: Team 28 vs Team 29
- Match 15: Team 30 vs Team 31
- Team 32 gets a bye
- Match 16: Team 33 vs Team 34
- Match 17: Team 35 vs Team 36
- Match 18: Team 37 vs Team 38
- Match 19: Team 39 vs Team 40
- Match 20: Team 41 vs Team 42
- Match 21: Team 43 vs Team 44
- Match 22: Team 45 vs Team 46
- Match 23: Team 47 vs Team 48
- Match 24: Team 49 vs Team 50
- Match 25: Team 51 vs Team 52
- Match 26: Team 53 vs Team 54
- Match 27: Team 55 vs Team 56
- Match 28: Team 57 vs Team 58
- Match 29: Team 59 vs Team 60
- Team 61 gets a bye
Round II
- Match 30: Team 1 vs Winner of Match 1
- Match 31: Winner of Match 2 vs Winner of Match 3
- Match 32: Winner of Match 4 vs Winner of Match 5
- Match 33: Winner of Match 6 vs Winner of Match 7
- Match 34: Winner of Match 8 vs Winner of Match 9
- Match 35: Winner of Match 10 vs Winner of Match 11
- Match 36: Winner of Match 12 vs Winner of Match 13
- Match 37: Winner of Match 14 vs Winner of Match 15
- Match 38: Team 32 vs Winner of Match 16
- Match 39: Winner of Match 17 vs Winner of Match 18
- Match 40: Winner of Match 19 vs Winner of Match 20
- Match 41: Winner of Match 21 vs Winner of Match 22
- Match 42: Winner of Match 23 vs Winner of Match 24
- Match 43: Winner of Match 25 vs Winner of Match 26
- Match 44: Winner of Match 27 vs Winner of Match 28
- Match 45: Winner of Match 29 vs Team 61
Round III
- Match 46: Winner of Match 30 vs Winner of Match 31
- Match 47: Winner of Match 32 vs Winner of Match 33
- Match 48: Winner of Match 34 vs Winner of Match 35
- Match 49: Winner of Match 36 vs Winner of Match 37
- Match 50: Winner of Match 38 vs Winner of Match 39
- Match 51: Winner of Match 40 vs Winner of Match 41
- Match 52: Winner of Match 42 vs Winner of Match 43
- Match 53: Winner of Match 44 vs Winner of Match 45
Round IV
- Match 54: Winner of Match 46 vs Winner of Match 47
- Match 55: Winner of Match 48 vs Winner of Match 49
- Match 56: Winner of Match 50 vs Winner of Match 51
- Match 57: Winner of Match 52 vs Winner of Match 53
Semi-final
- Match 58: Winner of Match 54 vs Winner of Match 55
- Match 59: Winner of Match 56 vs Winner of Match 57
Final
- Match 60: Winner of Match 58 vs Winner of Match 59
Match list
| Match no. | Round | Match | Date | Time | Venue |
|---|---|---|---|---|---|
| 1 | Round I | Team 2 vs Team 3 | |||
| 2 | Round I | Team 4 vs Team 5 | |||
| 3 | Round I | Team 6 vs Team 7 | |||
| 4 | Round I | Team 8 vs Team 9 | |||
| 5 | Round I | Team 10 vs Team 11 | |||
| 6 | Round I | Team 12 vs Team 13 | |||
| 7 | Round I | Team 14 vs Team 15 | |||
| 8 | Round I | Team 16 vs Team 17 | |||
| 9 | Round I | Team 18 vs Team 19 | |||
| 10 | Round I | Team 20 vs Team 21 | |||
| 11 | Round I | Team 22 vs Team 23 | |||
| 12 | Round I | Team 24 vs Team 25 | |||
| 13 | Round I | Team 26 vs Team 27 | |||
| 14 | Round I | Team 28 vs Team 29 | |||
| 15 | Round I | Team 30 vs Team 31 | |||
| 16 | Round I | Team 33 vs Team 34 | |||
| 17 | Round I | Team 35 vs Team 36 | |||
| 18 | Round I | Team 37 vs Team 38 | |||
| 19 | Round I | Team 39 vs Team 40 | |||
| 20 | Round I | Team 41 vs Team 42 | |||
| 21 | Round I | Team 43 vs Team 44 | |||
| 22 | Round I | Team 45 vs Team 46 | |||
| 23 | Round I | Team 47 vs Team 48 | |||
| 24 | Round I | Team 49 vs Team 50 | |||
| 25 | Round I | Team 51 vs Team 52 | |||
| 26 | Round I | Team 53 vs Team 54 | |||
| 27 | Round I | Team 55 vs Team 56 | |||
| 28 | Round I | Team 57 vs Team 58 | |||
| 29 | Round I | Team 59 vs Team 60 | |||
| 30 | Round II | Team 1 vs Winner of Match 1 | |||
| 31 | Round II | Winner of Match 2 vs Winner of Match 3 | |||
| 32 | Round II | Winner of Match 4 vs Winner of Match 5 | |||
| 33 | Round II | Winner of Match 6 vs Winner of Match 7 | |||
| 34 | Round II | Winner of Match 8 vs Winner of Match 9 | |||
| 35 | Round II | Winner of Match 10 vs Winner of Match 11 | |||
| 36 | Round II | Winner of Match 12 vs Winner of Match 13 | |||
| 37 | Round II | Winner of Match 14 vs Winner of Match 15 | |||
| 38 | Round II | Team 32 vs Winner of Match 16 | |||
| 39 | Round II | Winner of Match 17 vs Winner of Match 18 | |||
| 40 | Round II | Winner of Match 19 vs Winner of Match 20 | |||
| 41 | Round II | Winner of Match 21 vs Winner of Match 22 | |||
| 42 | Round II | Winner of Match 23 vs Winner of Match 24 | |||
| 43 | Round II | Winner of Match 25 vs Winner of Match 26 | |||
| 44 | Round II | Winner of Match 27 vs Winner of Match 28 | |||
| 45 | Round II | Winner of Match 29 vs Team 61 | |||
| 46 | Round III | Winner of Match 30 vs Winner of Match 31 | |||
| 47 | Round III | Winner of Match 32 vs Winner of Match 33 | |||
| 48 | Round III | Winner of Match 34 vs Winner of Match 35 | |||
| 49 | Round III | Winner of Match 36 vs Winner of Match 37 | |||
| 50 | Round III | Winner of Match 38 vs Winner of Match 39 | |||
| 51 | Round III | Winner of Match 40 vs Winner of Match 41 | |||
| 52 | Round III | Winner of Match 42 vs Winner of Match 43 | |||
| 53 | Round III | Winner of Match 44 vs Winner of Match 45 | |||
| 54 | Round IV | Winner of Match 46 vs Winner of Match 47 | |||
| 55 | Round IV | Winner of Match 48 vs Winner of Match 49 | |||
| 56 | Round IV | Winner of Match 50 vs Winner of Match 51 | |||
| 57 | Round IV | Winner of Match 52 vs Winner of Match 53 | |||
| 58 | Semi-final | Winner of Match 54 vs Winner of Match 55 | |||
| 59 | Semi-final | Winner of Match 56 vs Winner of Match 57 | |||
| 60 | Final | Winner of Match 58 vs Winner of Match 59 |
Byes (no match in Round I): Team 1, Team 32, Team 61. Total matches = 60.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 61 − 1
= 60
(Number of teams + 1) ÷ 2 = Teams in Upper Half
(61 + 1) ÷ 2
= 31
(Number of teams − 1) ÷ 2 = Teams in Lower Half
(61 − 1) ÷ 2
= 30
Byes = next power of 2 − number of teams participating
Byes = 64 − 61
= 3
Upper Half = (Byes − 1) ÷ 2
Upper Half = (3 − 1) ÷ 2
= 1
Lower Half = (Byes + 1) ÷ 2
Lower Half = (3 + 1) ÷ 2
= 2
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 61, 1, 32
= 61, 1, 32
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 61 team fixture is drawn
Upper half and lower half
61 is odd, so the upper half gets (61 + 1) ÷ 2 = 31 teams (Teams 1–31) and the lower half gets (61 − 1) ÷ 2 = 30 teams (Teams 32–61).
Byes
Byes = next power of 2 − number of teams = 64 − 61 = 3. 3 is odd, so the upper half gets (3 − 1) ÷ 2 = 1 bye and the lower half gets (3 + 1) ÷ 2 = 2 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 61 teams:
- Team 61 — last team of the lower half
- Team 1 — first team of the upper half
- Team 32 — first 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
61 − 3 = 58 teams play Round I in 29 matches:
- Match 1: Team 2 vs Team 3
- Match 2: Team 4 vs Team 5
- Match 3: Team 6 vs Team 7
- Match 4: Team 8 vs Team 9
- Match 5: Team 10 vs Team 11
- Match 6: Team 12 vs Team 13
- Match 7: Team 14 vs Team 15
- Match 8: Team 16 vs Team 17
- Match 9: Team 18 vs Team 19
- Match 10: Team 20 vs Team 21
- Match 11: Team 22 vs Team 23
- Match 12: Team 24 vs Team 25
- Match 13: Team 26 vs Team 27
- Match 14: Team 28 vs Team 29
- Match 15: Team 30 vs Team 31
- Match 16: Team 33 vs Team 34
- Match 17: Team 35 vs Team 36
- Match 18: Team 37 vs Team 38
- Match 19: Team 39 vs Team 40
- Match 20: Team 41 vs Team 42
- Match 21: Team 43 vs Team 44
- Match 22: Team 45 vs Team 46
- Match 23: Team 47 vs Team 48
- Match 24: Team 49 vs Team 50
- Match 25: Team 51 vs Team 52
- Match 26: Team 53 vs Team 54
- Match 27: Team 55 vs Team 56
- Match 28: Team 57 vs Team 58
- Match 29: Team 59 vs Team 60
Total number of matches = number of teams − 1 = 61 − 1 = 60 (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 61 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 61 team knockout fixture?
Byes = next power of 2 − number of teams = 64 − 61 = 3. 3 is odd, so the upper half gets (3 − 1) ÷ 2 = 1 bye and the lower half gets (3 + 1) ÷ 2 = 2 byes. The byes go, in order, to teams 61, 1 and 32. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 61 teams?
Total number of matches = number of teams − 1 = 61 − 1 = 60, 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 61 teams divided into the upper and lower half?
61 is odd, so the upper half gets (61 + 1) ÷ 2 = 31 teams (Teams 1–31) and the lower half gets (61 − 1) ÷ 2 = 30 teams (Teams 32–61).
Can I print the 61 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 61 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.