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