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11 team knockout fixture

11 teams: 5 byes, 6 teams play Round I, 10 matches over 4 rounds.

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Knockout fixture — 11 teams · 5 byes · 10 matches · 4 rounds

TournamentVenueDate

11 teams: 5 byes, 10 matches, 4 rounds.
Total byes
5
teams that do not play Round 1
Byes in each half
Upper 2Lower 3
Teams in each half
Upper 6Lower 5
Total matches
10
not including a third-place match
Total rounds
4
worked out from the textbook illustrations
Byes go to teams
1, 6, 7, 10, 11
in serial order; the order the byes are given is in the steps below

The bracket prints on one A4 page (portrait).

Add team names

Names fill serial numbers 1 to 11 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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Knockout fixture, 11 teams5 byes. 6 teams in the upper half, 5 in the lower half.Round IRound IISemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2Team 3Team 4Team 5Team 6BYETeam 7BYETeam 8Team 9Team 10BYETeam 11BYETeam 1Team 6Team 7Team 10Team 11Winner12345678910
BYE = no match in Round I. Numbers in circles are match numbers.
Match list (text)

Round I

  1. Team 1 gets a bye
  2. Match 1: Team 2 vs Team 3
  3. Match 2: Team 4 vs Team 5
  4. Team 6 gets a bye
  5. Team 7 gets a bye
  6. Match 3: Team 8 vs Team 9
  7. Team 10 gets a bye
  8. Team 11 gets a bye

Round II

  1. Match 4: Team 1 vs Winner of Match 1
  2. Match 5: Winner of Match 2 vs Team 6
  3. Match 6: Team 7 vs Winner of Match 3
  4. Match 7: Team 10 vs Team 11

Semi-final

  1. Match 8: Winner of Match 4 vs Winner of Match 5
  2. Match 9: Winner of Match 6 vs Winner of Match 7

Final

  1. Match 10: Winner of Match 8 vs Winner of Match 9

Match list

Knockout fixture — 11 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 2 vs Team 3
2Round ITeam 4 vs Team 5
3Round ITeam 8 vs Team 9
4Round IITeam 1 vs Winner of Match 1
5Round IIWinner of Match 2 vs Team 6
6Round IITeam 7 vs Winner of Match 3
7Round IITeam 10 vs Team 11
8Semi-finalWinner of Match 4 vs Winner of Match 5
9Semi-finalWinner of Match 6 vs Winner of Match 7
10FinalWinner of Match 8 vs Winner of Match 9

Byes (no match in Round I): Team 1, Team 6, Team 7, Team 10, Team 11. Total matches = 10.

How this was calculated

  1. Total Number of Matches = Number of teams − 1 (not including third place match)

    Total Number of Matches = 11 − 1

    = 10

  2. (Number of teams + 1) ÷ 2 = Teams in Upper Half

    (11 + 1) ÷ 2

    = 6

  3. (Number of teams − 1) ÷ 2 = Teams in Lower Half

    (11 − 1) ÷ 2

    = 5

  4. Byes = next power of 2 − number of teams participating

    Byes = 16 − 11

    = 5

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (5 − 1) ÷ 2

    = 2

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (5 + 1) ÷ 2

    = 3

  7. 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 11, 1, 7, 6, 10

    = 11, 1, 7, 6, 10

  8. Rounds = number of times 2 is multiplied to get the next power of 2

    16 = 2 × 2 × 2 × 2

    = 4

    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 11 team fixture is drawn

Upper half and lower half

11 is odd, so the upper half gets (11 + 1) ÷ 2 = 6 teams (Teams 1–6) and the lower half gets (11 − 1) ÷ 2 = 5 teams (Teams 7–11).

Byes

Byes = next power of 2 − number of teams = 16 − 11 = 5. 5 is odd, so the upper half gets (5 − 1) ÷ 2 = 2 byes and the lower half gets (5 + 1) ÷ 2 = 3 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 11 teams:

  1. Team 11 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 7 — first team of the lower half
  4. Team 6 — last team of the upper half
  5. Team 10 — 2nd-last 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

11 − 5 = 6 teams play Round I in 3 matches:

  • Match 1: Team 2 vs Team 3
  • Match 2: Team 4 vs Team 5
  • Match 3: Team 8 vs Team 9

Total number of matches = number of teams − 1 = 11 − 1 = 10 (not including a third-place match). There are 4 rounds, because 16 = 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 11 team knockout fixture PDF. The bracket prints on one A4 page (portrait).

Questions

How many byes are there in a 11 team knockout fixture?

Byes = next power of 2 − number of teams = 16 − 11 = 5. 5 is odd, so the upper half gets (5 − 1) ÷ 2 = 2 byes and the lower half gets (5 + 1) ÷ 2 = 3 byes. The byes go, in order, to teams 11, 1, 7, 6 and 10. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 11 teams?

Total number of matches = number of teams − 1 = 11 − 1 = 10, not including a third-place match. There are 4 rounds, because 16 = 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).

How are 11 teams divided into the upper and lower half?

11 is odd, so the upper half gets (11 + 1) ÷ 2 = 6 teams (Teams 1–6) and the lower half gets (11 − 1) ÷ 2 = 5 teams (Teams 7–11).

Can I print the 11 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 11 team knockout fixture PDF. The bracket prints on one A4 page (portrait).