25 team knockout fixture

25 teams: 7 byes, 18 teams play Round I, 24 matches over 5 rounds.

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How the 25 team fixture is drawn

Upper half and lower half

25 is odd, so the upper half gets (25 + 1) ÷ 2 = 13 teams (Teams 1–13) and the lower half gets (25 − 1) ÷ 2 = 12 teams (Teams 14–25).

Byes

Byes = next power of 2 − number of teams = 32 − 25 = 7. 7 is odd, so the upper half gets (7 − 1) ÷ 2 = 3 byes and the lower half gets (7 + 1) ÷ 2 = 4 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 25 teams:

  1. Team 25 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 14 — first team of the lower half
  4. Team 13 — last team of the upper half
  5. Team 24 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 15 — 2nd 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

25 − 7 = 18 teams play Round I in 9 matches:

  • Match 1: Team 3 vs Team 4
  • Match 2: Team 5 vs Team 6
  • Match 3: Team 7 vs Team 8
  • Match 4: Team 9 vs Team 10
  • Match 5: Team 11 vs Team 12
  • Match 6: Team 16 vs Team 17
  • Match 7: Team 18 vs Team 19
  • Match 8: Team 20 vs Team 21
  • Match 9: Team 22 vs Team 23

Total number of matches = number of teams − 1 = 25 − 1 = 24 (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 25 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 25 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 25 = 7. 7 is odd, so the upper half gets (7 − 1) ÷ 2 = 3 byes and the lower half gets (7 + 1) ÷ 2 = 4 byes. The byes go, in order, to teams 25, 1, 14, 13, 24, 2 and 15. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 25 teams?

Total number of matches = number of teams − 1 = 25 − 1 = 24, 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 25 teams divided into the upper and lower half?

25 is odd, so the upper half gets (25 + 1) ÷ 2 = 13 teams (Teams 1–13) and the lower half gets (25 − 1) ÷ 2 = 12 teams (Teams 14–25).

Can I print the 25 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 25 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.