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