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