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