DrawMyFixture

31 team knockout fixture

31 teams: 1 bye, 30 teams play Round I, 30 matches over 5 rounds.

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Knockout fixture — 31 teams · 1 bye · 30 matches · 5 rounds

TournamentVenueDate

Knockout fixture, 31 teams — upper half1 bye. 16 teams in the upper half, 15 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFTeam 1Team 2Team 3Team 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 161234567816171819242528Final: Match 30
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 31 teams — lower half1 bye. 16 teams in the upper half, 15 in the lower half.Round IRound IIRound IIISemi-finalFinalLOWER HALFTeam 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24Team 25Team 26Team 27Team 28Team 29Team 30Team 31BYETeam 31910111213141520212223262729Final: Match 30
BYE = no match in Round I. Numbers in circles are match numbers.
31 teams: 1 bye, 30 matches, 5 rounds.
Total byes
1
teams that do not play Round 1
Byes in each half
Upper 0Lower 1
Teams in each half
Upper 16Lower 15
Total matches
30
not including a third-place match
Total rounds
5
worked out from the textbook illustrations
Byes go to teams
31
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 31 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, 31 teams1 bye. 16 teams in the upper half, 15 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFLOWER HALFTeam 1Team 2Team 3Team 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 16Team 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24Team 25Team 26Team 27Team 28Team 29Team 30Team 31BYETeam 31Winner123456789101112131415161718192021222324252627282930
BYE = no match in Round I. Numbers in circles are match numbers.
Match list (text)

Round I

  1. Match 1: Team 1 vs Team 2
  2. Match 2: Team 3 vs Team 4
  3. Match 3: Team 5 vs Team 6
  4. Match 4: Team 7 vs Team 8
  5. Match 5: Team 9 vs Team 10
  6. Match 6: Team 11 vs Team 12
  7. Match 7: Team 13 vs Team 14
  8. Match 8: Team 15 vs Team 16
  9. Match 9: Team 17 vs Team 18
  10. Match 10: Team 19 vs Team 20
  11. Match 11: Team 21 vs Team 22
  12. Match 12: Team 23 vs Team 24
  13. Match 13: Team 25 vs Team 26
  14. Match 14: Team 27 vs Team 28
  15. Match 15: Team 29 vs Team 30
  16. Team 31 gets a bye

Round II

  1. Match 16: Winner of Match 1 vs Winner of Match 2
  2. Match 17: Winner of Match 3 vs Winner of Match 4
  3. Match 18: Winner of Match 5 vs Winner of Match 6
  4. Match 19: Winner of Match 7 vs Winner of Match 8
  5. Match 20: Winner of Match 9 vs Winner of Match 10
  6. Match 21: Winner of Match 11 vs Winner of Match 12
  7. Match 22: Winner of Match 13 vs Winner of Match 14
  8. Match 23: Winner of Match 15 vs Team 31

Round III

  1. Match 24: Winner of Match 16 vs Winner of Match 17
  2. Match 25: Winner of Match 18 vs Winner of Match 19
  3. Match 26: Winner of Match 20 vs Winner of Match 21
  4. Match 27: Winner of Match 22 vs Winner of Match 23

Semi-final

  1. Match 28: Winner of Match 24 vs Winner of Match 25
  2. Match 29: Winner of Match 26 vs Winner of Match 27

Final

  1. Match 30: Winner of Match 28 vs Winner of Match 29

Match list

Knockout fixture — 31 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 1 vs Team 2
2Round ITeam 3 vs Team 4
3Round ITeam 5 vs Team 6
4Round ITeam 7 vs Team 8
5Round ITeam 9 vs Team 10
6Round ITeam 11 vs Team 12
7Round ITeam 13 vs Team 14
8Round ITeam 15 vs Team 16
9Round ITeam 17 vs Team 18
10Round ITeam 19 vs Team 20
11Round ITeam 21 vs Team 22
12Round ITeam 23 vs Team 24
13Round ITeam 25 vs Team 26
14Round ITeam 27 vs Team 28
15Round ITeam 29 vs Team 30
16Round IIWinner of Match 1 vs Winner of Match 2
17Round IIWinner of Match 3 vs Winner of Match 4
18Round IIWinner of Match 5 vs Winner of Match 6
19Round IIWinner of Match 7 vs Winner of Match 8
20Round IIWinner of Match 9 vs Winner of Match 10
21Round IIWinner of Match 11 vs Winner of Match 12
22Round IIWinner of Match 13 vs Winner of Match 14
23Round IIWinner of Match 15 vs Team 31
24Round IIIWinner of Match 16 vs Winner of Match 17
25Round IIIWinner of Match 18 vs Winner of Match 19
26Round IIIWinner of Match 20 vs Winner of Match 21
27Round IIIWinner of Match 22 vs Winner of Match 23
28Semi-finalWinner of Match 24 vs Winner of Match 25
29Semi-finalWinner of Match 26 vs Winner of Match 27
30FinalWinner of Match 28 vs Winner of Match 29

Byes (no match in Round I): Team 31. Total matches = 30.

How this was calculated

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

    Total Number of Matches = 31 − 1

    = 30

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

    (31 + 1) ÷ 2

    = 16

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

    (31 − 1) ÷ 2

    = 15

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

    Byes = 32 − 31

    = 1

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (1 − 1) ÷ 2

    = 0

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (1 + 1) ÷ 2

    = 1

  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 31

    = 31

  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 31 team fixture is drawn

Upper half and lower half

31 is odd, so the upper half gets (31 + 1) ÷ 2 = 16 teams (Teams 1–16) and the lower half gets (31 − 1) ÷ 2 = 15 teams (Teams 17–31).

Byes

Byes = next power of 2 − number of teams = 32 − 31 = 1. 1 is odd, so the upper half gets (1 − 1) ÷ 2 = 0 byes and the lower half gets (1 + 1) ÷ 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 31 teams:

  1. Team 31 — 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

31 − 1 = 30 teams play Round I in 15 matches:

  • Match 1: Team 1 vs Team 2
  • Match 2: Team 3 vs Team 4
  • Match 3: Team 5 vs Team 6
  • Match 4: Team 7 vs Team 8
  • Match 5: Team 9 vs Team 10
  • Match 6: Team 11 vs Team 12
  • Match 7: Team 13 vs Team 14
  • Match 8: Team 15 vs Team 16
  • Match 9: Team 17 vs Team 18
  • Match 10: Team 19 vs Team 20
  • Match 11: Team 21 vs Team 22
  • Match 12: Team 23 vs Team 24
  • Match 13: Team 25 vs Team 26
  • Match 14: Team 27 vs Team 28
  • Match 15: Team 29 vs Team 30

Total number of matches = number of teams − 1 = 31 − 1 = 30 (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 31 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 31 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 31 = 1. 1 is odd, so the upper half gets (1 − 1) ÷ 2 = 0 byes and the lower half gets (1 + 1) ÷ 2 = 1 bye. The byes go, in order, to team 31. This team does not play Round I and go straight to Round II.

How many matches and rounds are there for 31 teams?

Total number of matches = number of teams − 1 = 31 − 1 = 30, 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 31 teams divided into the upper and lower half?

31 is odd, so the upper half gets (31 + 1) ÷ 2 = 16 teams (Teams 1–16) and the lower half gets (31 − 1) ÷ 2 = 15 teams (Teams 17–31).

Can I print the 31 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 31 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.