DrawMyFixture

18 team knockout fixture

18 teams: 14 byes, 4 teams play Round I, 17 matches over 5 rounds.

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Knockout fixture — 18 teams · 14 byes · 17 matches · 5 rounds

TournamentVenueDate

Knockout fixture, 18 teams — upper half14 byes. 9 teams in the upper half, 9 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4BYETeam 5Team 6Team 7BYETeam 8BYETeam 9BYETeam 1Team 2Team 3Team 4Team 7Team 8Team 913456111215Final: Match 17
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 18 teams — lower half14 byes. 9 teams in the upper half, 9 in the lower half.Round IRound IIRound IIISemi-finalFinalLOWER HALFTeam 10BYETeam 11BYETeam 12BYETeam 13Team 14Team 15BYETeam 16BYETeam 17BYETeam 18BYETeam 10Team 11Team 12Team 15Team 16Team 17Team 18278910131416Final: Match 17
BYE = no match in Round I. Numbers in circles are match numbers.
18 teams: 14 byes, 17 matches, 5 rounds.
Total byes
14
teams that do not play Round 1
Byes in each half
Upper 7Lower 7
Teams in each half
Upper 9Lower 9
Total matches
17
not including a third-place match
Total rounds
5
worked out from the textbook illustrations
Byes go to teams
1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18
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 18 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, 18 teams14 byes. 9 teams in the upper half, 9 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4BYETeam 5Team 6Team 7BYETeam 8BYETeam 9BYETeam 10BYETeam 11BYETeam 12BYETeam 13Team 14Team 15BYETeam 16BYETeam 17BYETeam 18BYETeam 1Team 2Team 3Team 4Team 7Team 8Team 9Team 10Team 11Team 12Team 15Team 16Team 17Team 18Winner1234567891011121314151617
BYE = no match in Round I. Numbers in circles are match numbers.
Match list (text)

Round I

  1. Team 1 gets a bye
  2. Team 2 gets a bye
  3. Team 3 gets a bye
  4. Team 4 gets a bye
  5. Match 1: Team 5 vs Team 6
  6. Team 7 gets a bye
  7. Team 8 gets a bye
  8. Team 9 gets a bye
  9. Team 10 gets a bye
  10. Team 11 gets a bye
  11. Team 12 gets a bye
  12. Match 2: Team 13 vs Team 14
  13. Team 15 gets a bye
  14. Team 16 gets a bye
  15. Team 17 gets a bye
  16. Team 18 gets a bye

Round II

  1. Match 3: Team 1 vs Team 2
  2. Match 4: Team 3 vs Team 4
  3. Match 5: Winner of Match 1 vs Team 7
  4. Match 6: Team 8 vs Team 9
  5. Match 7: Team 10 vs Team 11
  6. Match 8: Team 12 vs Winner of Match 2
  7. Match 9: Team 15 vs Team 16
  8. Match 10: Team 17 vs Team 18

Round III

  1. Match 11: Winner of Match 3 vs Winner of Match 4
  2. Match 12: Winner of Match 5 vs Winner of Match 6
  3. Match 13: Winner of Match 7 vs Winner of Match 8
  4. Match 14: Winner of Match 9 vs Winner of Match 10

Semi-final

  1. Match 15: Winner of Match 11 vs Winner of Match 12
  2. Match 16: Winner of Match 13 vs Winner of Match 14

Final

  1. Match 17: Winner of Match 15 vs Winner of Match 16

Match list

Knockout fixture — 18 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 5 vs Team 6
2Round ITeam 13 vs Team 14
3Round IITeam 1 vs Team 2
4Round IITeam 3 vs Team 4
5Round IIWinner of Match 1 vs Team 7
6Round IITeam 8 vs Team 9
7Round IITeam 10 vs Team 11
8Round IITeam 12 vs Winner of Match 2
9Round IITeam 15 vs Team 16
10Round IITeam 17 vs Team 18
11Round IIIWinner of Match 3 vs Winner of Match 4
12Round IIIWinner of Match 5 vs Winner of Match 6
13Round IIIWinner of Match 7 vs Winner of Match 8
14Round IIIWinner of Match 9 vs Winner of Match 10
15Semi-finalWinner of Match 11 vs Winner of Match 12
16Semi-finalWinner of Match 13 vs Winner of Match 14
17FinalWinner of Match 15 vs Winner of Match 16

Byes (no match in Round I): Team 1, Team 2, Team 3, Team 4, Team 7, Team 8, Team 9, Team 10, Team 11, Team 12, Team 15, Team 16, Team 17, Team 18. Total matches = 17.

How this was calculated

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

    Total Number of Matches = 18 − 1

    = 17

  2. Number of teams ÷ 2 = Teams in Upper Half or Lower Half

    18 ÷ 2

    = 9

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

    Byes = 32 − 18

    = 14

  4. Byes ÷ 2 in Upper Half and Lower Half

    14 ÷ 2

    = 7

  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 18, 1, 10, 9, 17, 2, 11, 8, 16, 3, 12, 7, 15, 4

    = 18, 1, 10, 9, 17, 2, 11, 8, 16, 3, 12, 7, 15, 4

  6. 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 18 team fixture is drawn

Upper half and lower half

18 is even, so each half gets 18 ÷ 2 = 9 teams: Teams 1–9 in the upper half and Teams 10–18 in the lower half.

Byes

Byes = next power of 2 − number of teams = 32 − 18 = 14. 14 is even, so each half gets 14 ÷ 2 = 7 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 18 teams:

  1. Team 18 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 10 — first team of the lower half
  4. Team 9 — last team of the upper half
  5. Team 17 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 11 — 2nd team of the lower half
  8. Team 8 — 2nd-last team of the upper half
  9. Team 16 — 3rd-last team of the lower half
  10. Team 3 — 3rd team of the upper half
  11. Team 12 — 3rd team of the lower half
  12. Team 7 — 3rd-last team of the upper half
  13. Team 15 — 4th-last team of the lower half
  14. Team 4 — 4th 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

18 − 14 = 4 teams play Round I in 2 matches:

  • Match 1: Team 5 vs Team 6
  • Match 2: Team 13 vs Team 14

Total number of matches = number of teams − 1 = 18 − 1 = 17 (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 18 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 18 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 18 = 14. 14 is even, so each half gets 14 ÷ 2 = 7 byes. The byes go, in order, to teams 18, 1, 10, 9, 17, 2, 11, 8, 16, 3, 12, 7, 15 and 4. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 18 teams?

Total number of matches = number of teams − 1 = 18 − 1 = 17, 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 18 teams divided into the upper and lower half?

18 is even, so each half gets 18 ÷ 2 = 9 teams: Teams 1–9 in the upper half and Teams 10–18 in the lower half.

Can I print the 18 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 18 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.