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