DrawMyFixture

29 team knockout fixture

29 teams: 3 byes, 26 teams play Round I, 28 matches over 5 rounds.

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Knockout fixture — 29 teams · 3 byes · 28 matches · 5 rounds

TournamentVenueDate

Knockout fixture, 29 teams — upper half3 byes. 15 teams in the upper half, 14 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFTeam 1BYETeam 2Team 3Team 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 1123456714151617222326Final: Match 28
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 29 teams — lower half3 byes. 15 teams in the upper half, 14 in the lower half.Round IRound IIRound IIISemi-finalFinalLOWER HALFTeam 16BYETeam 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24Team 25Team 26Team 27Team 28Team 29BYETeam 16Team 29891011121318192021242527Final: Match 28
BYE = no match in Round I. Numbers in circles are match numbers.
29 teams: 3 byes, 28 matches, 5 rounds.
Total byes
3
teams that do not play Round 1
Byes in each half
Upper 1Lower 2
Teams in each half
Upper 15Lower 14
Total matches
28
not including a third-place match
Total rounds
5
worked out from the textbook illustrations
Byes go to teams
1, 16, 29
in serial order; the order the byes are given is in the steps below

The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.

Add team names

Names fill serial numbers 1 to 29 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.

Knockout fixture, 29 teams3 byes. 15 teams in the upper half, 14 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2Team 3Team 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 16BYETeam 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24Team 25Team 26Team 27Team 28Team 29BYETeam 1Team 16Team 29Winner12345678910111213141516171819202122232425262728
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. Match 3: Team 6 vs Team 7
  5. Match 4: Team 8 vs Team 9
  6. Match 5: Team 10 vs Team 11
  7. Match 6: Team 12 vs Team 13
  8. Match 7: Team 14 vs Team 15
  9. Team 16 gets a bye
  10. Match 8: Team 17 vs Team 18
  11. Match 9: Team 19 vs Team 20
  12. Match 10: Team 21 vs Team 22
  13. Match 11: Team 23 vs Team 24
  14. Match 12: Team 25 vs Team 26
  15. Match 13: Team 27 vs Team 28
  16. Team 29 gets a bye

Round II

  1. Match 14: Team 1 vs Winner of Match 1
  2. Match 15: Winner of Match 2 vs Winner of Match 3
  3. Match 16: Winner of Match 4 vs Winner of Match 5
  4. Match 17: Winner of Match 6 vs Winner of Match 7
  5. Match 18: Team 16 vs Winner of Match 8
  6. Match 19: Winner of Match 9 vs Winner of Match 10
  7. Match 20: Winner of Match 11 vs Winner of Match 12
  8. Match 21: Winner of Match 13 vs Team 29

Round III

  1. Match 22: Winner of Match 14 vs Winner of Match 15
  2. Match 23: Winner of Match 16 vs Winner of Match 17
  3. Match 24: Winner of Match 18 vs Winner of Match 19
  4. Match 25: Winner of Match 20 vs Winner of Match 21

Semi-final

  1. Match 26: Winner of Match 22 vs Winner of Match 23
  2. Match 27: Winner of Match 24 vs Winner of Match 25

Final

  1. Match 28: Winner of Match 26 vs Winner of Match 27

Match list

Knockout fixture — 29 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 2 vs Team 3
2Round ITeam 4 vs Team 5
3Round ITeam 6 vs Team 7
4Round ITeam 8 vs Team 9
5Round ITeam 10 vs Team 11
6Round ITeam 12 vs Team 13
7Round ITeam 14 vs Team 15
8Round ITeam 17 vs Team 18
9Round ITeam 19 vs Team 20
10Round ITeam 21 vs Team 22
11Round ITeam 23 vs Team 24
12Round ITeam 25 vs Team 26
13Round ITeam 27 vs Team 28
14Round IITeam 1 vs Winner of Match 1
15Round IIWinner of Match 2 vs Winner of Match 3
16Round IIWinner of Match 4 vs Winner of Match 5
17Round IIWinner of Match 6 vs Winner of Match 7
18Round IITeam 16 vs Winner of Match 8
19Round IIWinner of Match 9 vs Winner of Match 10
20Round IIWinner of Match 11 vs Winner of Match 12
21Round IIWinner of Match 13 vs Team 29
22Round IIIWinner of Match 14 vs Winner of Match 15
23Round IIIWinner of Match 16 vs Winner of Match 17
24Round IIIWinner of Match 18 vs Winner of Match 19
25Round IIIWinner of Match 20 vs Winner of Match 21
26Semi-finalWinner of Match 22 vs Winner of Match 23
27Semi-finalWinner of Match 24 vs Winner of Match 25
28FinalWinner of Match 26 vs Winner of Match 27

Byes (no match in Round I): Team 1, Team 16, Team 29. Total matches = 28.

How this was calculated

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

    Total Number of Matches = 29 − 1

    = 28

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

    (29 + 1) ÷ 2

    = 15

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

    (29 − 1) ÷ 2

    = 14

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

    Byes = 32 − 29

    = 3

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (3 − 1) ÷ 2

    = 1

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (3 + 1) ÷ 2

    = 2

  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 29, 1, 16

    = 29, 1, 16

  8. 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 29 team fixture is drawn

Upper half and lower half

29 is odd, so the upper half gets (29 + 1) ÷ 2 = 15 teams (Teams 1–15) and the lower half gets (29 − 1) ÷ 2 = 14 teams (Teams 16–29).

Byes

Byes = next power of 2 − number of teams = 32 − 29 = 3. 3 is odd, so the upper half gets (3 − 1) ÷ 2 = 1 bye and the lower half gets (3 + 1) ÷ 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 29 teams:

  1. Team 29 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 16 — first 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

29 − 3 = 26 teams play Round I in 13 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 17 vs Team 18
  • Match 9: Team 19 vs Team 20
  • Match 10: Team 21 vs Team 22
  • Match 11: Team 23 vs Team 24
  • Match 12: Team 25 vs Team 26
  • Match 13: Team 27 vs Team 28

Total number of matches = number of teams − 1 = 29 − 1 = 28 (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 29 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 29 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 29 = 3. 3 is odd, so the upper half gets (3 − 1) ÷ 2 = 1 bye and the lower half gets (3 + 1) ÷ 2 = 2 byes. The byes go, in order, to teams 29, 1 and 16. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 29 teams?

Total number of matches = number of teams − 1 = 29 − 1 = 28, 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 29 teams divided into the upper and lower half?

29 is odd, so the upper half gets (29 + 1) ÷ 2 = 15 teams (Teams 1–15) and the lower half gets (29 − 1) ÷ 2 = 14 teams (Teams 16–29).

Can I print the 29 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 29 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.