28 team knockout fixture
28 teams: 4 byes, 24 teams play Round I, 27 matches over 5 rounds.
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Knockout fixture — 28 teams · 4 byes · 27 matches · 5 rounds
TournamentVenueDate
- Total byes
- 4
- teams that do not play Round 1
- Byes in each half
- Upper 2Lower 2
- Teams in each half
- Upper 14Lower 14
- Total matches
- 27
- not including a third-place match
- Total rounds
- 5
- worked out from the textbook illustrations
- Byes go to teams
- 1, 14, 15, 28
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 28 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
- 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
- Team 14 gets a bye
- Team 15 gets a bye
- Match 7: Team 16 vs Team 17
- Match 8: Team 18 vs Team 19
- Match 9: Team 20 vs Team 21
- Match 10: Team 22 vs Team 23
- Match 11: Team 24 vs Team 25
- Match 12: Team 26 vs Team 27
- Team 28 gets a bye
Round II
- Match 13: Team 1 vs Winner of Match 1
- Match 14: Winner of Match 2 vs Winner of Match 3
- Match 15: Winner of Match 4 vs Winner of Match 5
- Match 16: Winner of Match 6 vs Team 14
- Match 17: Team 15 vs Winner of Match 7
- Match 18: Winner of Match 8 vs Winner of Match 9
- Match 19: Winner of Match 10 vs Winner of Match 11
- Match 20: Winner of Match 12 vs Team 28
Round III
- Match 21: Winner of Match 13 vs Winner of Match 14
- Match 22: Winner of Match 15 vs Winner of Match 16
- Match 23: Winner of Match 17 vs Winner of Match 18
- Match 24: Winner of Match 19 vs Winner of Match 20
Semi-final
- Match 25: Winner of Match 21 vs Winner of Match 22
- Match 26: Winner of Match 23 vs Winner of Match 24
Final
- Match 27: Winner of Match 25 vs Winner of Match 26
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 16 vs Team 17 | |||
| 8 | Round I | Team 18 vs Team 19 | |||
| 9 | Round I | Team 20 vs Team 21 | |||
| 10 | Round I | Team 22 vs Team 23 | |||
| 11 | Round I | Team 24 vs Team 25 | |||
| 12 | Round I | Team 26 vs Team 27 | |||
| 13 | Round II | Team 1 vs Winner of Match 1 | |||
| 14 | Round II | Winner of Match 2 vs Winner of Match 3 | |||
| 15 | Round II | Winner of Match 4 vs Winner of Match 5 | |||
| 16 | Round II | Winner of Match 6 vs Team 14 | |||
| 17 | Round II | Team 15 vs Winner of Match 7 | |||
| 18 | Round II | Winner of Match 8 vs Winner of Match 9 | |||
| 19 | Round II | Winner of Match 10 vs Winner of Match 11 | |||
| 20 | Round II | Winner of Match 12 vs Team 28 | |||
| 21 | Round III | Winner of Match 13 vs Winner of Match 14 | |||
| 22 | Round III | Winner of Match 15 vs Winner of Match 16 | |||
| 23 | Round III | Winner of Match 17 vs Winner of Match 18 | |||
| 24 | Round III | Winner of Match 19 vs Winner of Match 20 | |||
| 25 | Semi-final | Winner of Match 21 vs Winner of Match 22 | |||
| 26 | Semi-final | Winner of Match 23 vs Winner of Match 24 | |||
| 27 | Final | Winner of Match 25 vs Winner of Match 26 |
Byes (no match in Round I): Team 1, Team 14, Team 15, Team 28. Total matches = 27.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 28 − 1
= 27
Number of teams ÷ 2 = Teams in Upper Half or Lower Half
28 ÷ 2
= 14
Byes = next power of 2 − number of teams participating
Byes = 32 − 28
= 4
Byes ÷ 2 in Upper Half and Lower Half
4 ÷ 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 28, 1, 15, 14
= 28, 1, 15, 14
Rounds = number of times 2 is multiplied to get the next power of 2
32 = 2 × 2 × 2 × 2 × 2
= 5
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 28 team fixture is drawn
Upper half and lower half
28 is even, so each half gets 28 ÷ 2 = 14 teams: Teams 1–14 in the upper half and Teams 15–28 in the lower half.
Byes
Byes = next power of 2 − number of teams = 32 − 28 = 4. 4 is even, so each half gets 4 ÷ 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 28 teams:
- Team 28 — last team of the lower half
- Team 1 — first team of the upper half
- Team 15 — first team of the lower half
- Team 14 — 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
28 − 4 = 24 teams play Round I in 12 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 16 vs Team 17
- Match 8: Team 18 vs Team 19
- Match 9: Team 20 vs Team 21
- Match 10: Team 22 vs Team 23
- Match 11: Team 24 vs Team 25
- Match 12: Team 26 vs Team 27
Total number of matches = number of teams − 1 = 28 − 1 = 27 (not including a third-place match). There are 5 rounds, because 32 = 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 28 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.
Questions
How many byes are there in a 28 team knockout fixture?
Byes = next power of 2 − number of teams = 32 − 28 = 4. 4 is even, so each half gets 4 ÷ 2 = 2 byes. The byes go, in order, to teams 28, 1, 15 and 14. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 28 teams?
Total number of matches = number of teams − 1 = 28 − 1 = 27, not including a third-place match. There are 5 rounds, because 32 = 2 × 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).
How are 28 teams divided into the upper and lower half?
28 is even, so each half gets 28 ÷ 2 = 14 teams: Teams 1–14 in the upper half and Teams 15–28 in the lower half.
Can I print the 28 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 28 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.