37 team knockout fixture
37 teams: 27 byes, 10 teams play Round I, 36 matches over 6 rounds.
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Knockout fixture — 37 teams · 27 byes · 36 matches · 6 rounds
TournamentVenueDate
- Total byes
- 27
- teams that do not play Round 1
- Byes in each half
- Upper 13Lower 14
- Teams in each half
- Upper 19Lower 18
- Total matches
- 36
- not including a third-place match
- Total rounds
- 6
- worked out from the textbook illustrations
- Byes go to teams
- 1, 2, 3, 4, 5, 6, 7, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 37
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 37 in order. Without names, the bracket shows Team 1, Team 2…
The textbook places teams by lottery. Shuffle gives the names random serial numbers.
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Match list (text)
Round I
- Team 1 gets a bye
- Team 2 gets a bye
- Team 3 gets a bye
- Team 4 gets a bye
- Team 5 gets a bye
- Team 6 gets a bye
- Team 7 gets a bye
- Match 1: Team 8 vs Team 9
- Match 2: Team 10 vs Team 11
- Match 3: Team 12 vs Team 13
- Team 14 gets a bye
- Team 15 gets a bye
- Team 16 gets a bye
- Team 17 gets a bye
- Team 18 gets a bye
- Team 19 gets a bye
- Team 20 gets a bye
- Team 21 gets a bye
- Team 22 gets a bye
- Team 23 gets a bye
- Team 24 gets a bye
- Team 25 gets a bye
- Team 26 gets a bye
- Match 4: Team 27 vs Team 28
- Match 5: Team 29 vs Team 30
- Team 31 gets a bye
- Team 32 gets a bye
- Team 33 gets a bye
- Team 34 gets a bye
- Team 35 gets a bye
- Team 36 gets a bye
- Team 37 gets a bye
Round II
- Match 6: Team 1 vs Team 2
- Match 7: Team 3 vs Team 4
- Match 8: Team 5 vs Team 6
- Match 9: Team 7 vs Winner of Match 1
- Match 10: Winner of Match 2 vs Winner of Match 3
- Match 11: Team 14 vs Team 15
- Match 12: Team 16 vs Team 17
- Match 13: Team 18 vs Team 19
- Match 14: Team 20 vs Team 21
- Match 15: Team 22 vs Team 23
- Match 16: Team 24 vs Team 25
- Match 17: Team 26 vs Winner of Match 4
- Match 18: Winner of Match 5 vs Team 31
- Match 19: Team 32 vs Team 33
- Match 20: Team 34 vs Team 35
- Match 21: Team 36 vs Team 37
Round III
- Match 22: Winner of Match 6 vs Winner of Match 7
- Match 23: Winner of Match 8 vs Winner of Match 9
- Match 24: Winner of Match 10 vs Winner of Match 11
- Match 25: Winner of Match 12 vs Winner of Match 13
- Match 26: Winner of Match 14 vs Winner of Match 15
- Match 27: Winner of Match 16 vs Winner of Match 17
- Match 28: Winner of Match 18 vs Winner of Match 19
- Match 29: Winner of Match 20 vs Winner of Match 21
Round IV
- Match 30: Winner of Match 22 vs Winner of Match 23
- Match 31: Winner of Match 24 vs Winner of Match 25
- Match 32: Winner of Match 26 vs Winner of Match 27
- Match 33: Winner of Match 28 vs Winner of Match 29
Semi-final
- Match 34: Winner of Match 30 vs Winner of Match 31
- Match 35: Winner of Match 32 vs Winner of Match 33
Final
- Match 36: Winner of Match 34 vs Winner of Match 35
Match list
| Match no. | Round | Match | Date | Time | Venue |
|---|---|---|---|---|---|
| 1 | Round I | Team 8 vs Team 9 | |||
| 2 | Round I | Team 10 vs Team 11 | |||
| 3 | Round I | Team 12 vs Team 13 | |||
| 4 | Round I | Team 27 vs Team 28 | |||
| 5 | Round I | Team 29 vs Team 30 | |||
| 6 | Round II | Team 1 vs Team 2 | |||
| 7 | Round II | Team 3 vs Team 4 | |||
| 8 | Round II | Team 5 vs Team 6 | |||
| 9 | Round II | Team 7 vs Winner of Match 1 | |||
| 10 | Round II | Winner of Match 2 vs Winner of Match 3 | |||
| 11 | Round II | Team 14 vs Team 15 | |||
| 12 | Round II | Team 16 vs Team 17 | |||
| 13 | Round II | Team 18 vs Team 19 | |||
| 14 | Round II | Team 20 vs Team 21 | |||
| 15 | Round II | Team 22 vs Team 23 | |||
| 16 | Round II | Team 24 vs Team 25 | |||
| 17 | Round II | Team 26 vs Winner of Match 4 | |||
| 18 | Round II | Winner of Match 5 vs Team 31 | |||
| 19 | Round II | Team 32 vs Team 33 | |||
| 20 | Round II | Team 34 vs Team 35 | |||
| 21 | Round II | Team 36 vs Team 37 | |||
| 22 | Round III | Winner of Match 6 vs Winner of Match 7 | |||
| 23 | Round III | Winner of Match 8 vs Winner of Match 9 | |||
| 24 | Round III | Winner of Match 10 vs Winner of Match 11 | |||
| 25 | Round III | Winner of Match 12 vs Winner of Match 13 | |||
| 26 | Round III | Winner of Match 14 vs Winner of Match 15 | |||
| 27 | Round III | Winner of Match 16 vs Winner of Match 17 | |||
| 28 | Round III | Winner of Match 18 vs Winner of Match 19 | |||
| 29 | Round III | Winner of Match 20 vs Winner of Match 21 | |||
| 30 | Round IV | Winner of Match 22 vs Winner of Match 23 | |||
| 31 | Round IV | Winner of Match 24 vs Winner of Match 25 | |||
| 32 | Round IV | Winner of Match 26 vs Winner of Match 27 | |||
| 33 | Round IV | Winner of Match 28 vs Winner of Match 29 | |||
| 34 | Semi-final | Winner of Match 30 vs Winner of Match 31 | |||
| 35 | Semi-final | Winner of Match 32 vs Winner of Match 33 | |||
| 36 | Final | Winner of Match 34 vs Winner of Match 35 |
Byes (no match in Round I): Team 1, Team 2, Team 3, Team 4, Team 5, Team 6, Team 7, Team 14, Team 15, Team 16, Team 17, Team 18, Team 19, Team 20, Team 21, Team 22, Team 23, Team 24, Team 25, Team 26, Team 31, Team 32, Team 33, Team 34, Team 35, Team 36, Team 37. Total matches = 36.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 37 − 1
= 36
(Number of teams + 1) ÷ 2 = Teams in Upper Half
(37 + 1) ÷ 2
= 19
(Number of teams − 1) ÷ 2 = Teams in Lower Half
(37 − 1) ÷ 2
= 18
Byes = next power of 2 − number of teams participating
Byes = 64 − 37
= 27
Upper Half = (Byes − 1) ÷ 2
Upper Half = (27 − 1) ÷ 2
= 13
Lower Half = (Byes + 1) ÷ 2
Lower Half = (27 + 1) ÷ 2
= 14
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 37, 1, 20, 19, 36, 2, 21, 18, 35, 3, 22, 17, 34, 4, 23, 16, 33, 5, 24, 15, 32, 6, 25, 14, 31, 7, 26
= 37, 1, 20, 19, 36, 2, 21, 18, 35, 3, 22, 17, 34, 4, 23, 16, 33, 5, 24, 15, 32, 6, 25, 14, 31, 7, 26
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 37 team fixture is drawn
Upper half and lower half
37 is odd, so the upper half gets (37 + 1) ÷ 2 = 19 teams (Teams 1–19) and the lower half gets (37 − 1) ÷ 2 = 18 teams (Teams 20–37).
Byes
Byes = next power of 2 − number of teams = 64 − 37 = 27. 27 is odd, so the upper half gets (27 − 1) ÷ 2 = 13 byes and the lower half gets (27 + 1) ÷ 2 = 14 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 37 teams:
- Team 37 — last team of the lower half
- Team 1 — first team of the upper half
- Team 20 — first team of the lower half
- Team 19 — last team of the upper half
- Team 36 — 2nd-last team of the lower half
- Team 2 — 2nd team of the upper half
- Team 21 — 2nd team of the lower half
- Team 18 — 2nd-last team of the upper half
- Team 35 — 3rd-last team of the lower half
- Team 3 — 3rd team of the upper half
- Team 22 — 3rd team of the lower half
- Team 17 — 3rd-last team of the upper half
- Team 34 — 4th-last team of the lower half
- Team 4 — 4th team of the upper half
- Team 23 — 4th team of the lower half
- Team 16 — 4th-last team of the upper half
- Team 33 — 5th-last team of the lower half
- Team 5 — 5th team of the upper half
- Team 24 — 5th team of the lower half
- Team 15 — 5th-last team of the upper half
- Team 32 — 6th-last team of the lower half
- Team 6 — 6th team of the upper half
- Team 25 — 6th team of the lower half
- Team 14 — 6th-last team of the upper half
- Team 31 — 7th-last team of the lower half
- Team 7 — 7th team of the upper half
- Team 26 — 7th 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
37 − 27 = 10 teams play Round I in 5 matches:
- Match 1: Team 8 vs Team 9
- Match 2: Team 10 vs Team 11
- Match 3: Team 12 vs Team 13
- Match 4: Team 27 vs Team 28
- Match 5: Team 29 vs Team 30
Total number of matches = number of teams − 1 = 37 − 1 = 36 (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 37 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 37 team knockout fixture?
Byes = next power of 2 − number of teams = 64 − 37 = 27. 27 is odd, so the upper half gets (27 − 1) ÷ 2 = 13 byes and the lower half gets (27 + 1) ÷ 2 = 14 byes. The byes go, in order, to teams 37, 1, 20, 19, 36, 2, 21, 18, 35, 3, 22, 17, 34, 4, 23, 16, 33, 5, 24, 15, 32, 6, 25, 14, 31, 7 and 26. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 37 teams?
Total number of matches = number of teams − 1 = 37 − 1 = 36, 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 37 teams divided into the upper and lower half?
37 is odd, so the upper half gets (37 + 1) ÷ 2 = 19 teams (Teams 1–19) and the lower half gets (37 − 1) ÷ 2 = 18 teams (Teams 20–37).
Can I print the 37 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 37 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.