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