22 team knockout fixture

22 teams: 10 byes, 12 teams play Round I, 21 matches over 5 rounds.

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How the 22 team fixture is drawn

Upper half and lower half

22 is even, so each half gets 22 ÷ 2 = 11 teams: Teams 1–11 in the upper half and Teams 12–22 in the lower half.

Byes

Byes = next power of 2 − number of teams = 32 − 22 = 10. 10 is even, so each half gets 10 ÷ 2 = 5 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 22 teams:

  1. Team 22 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 12 — first team of the lower half
  4. Team 11 — last team of the upper half
  5. Team 21 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 13 — 2nd team of the lower half
  8. Team 10 — 2nd-last team of the upper half
  9. Team 20 — 3rd-last team of the lower half
  10. Team 3 — 3rd 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

22 − 10 = 12 teams play Round I in 6 matches:

  • Match 1: Team 4 vs Team 5
  • Match 2: Team 6 vs Team 7
  • Match 3: Team 8 vs Team 9
  • Match 4: Team 14 vs Team 15
  • Match 5: Team 16 vs Team 17
  • Match 6: Team 18 vs Team 19

Total number of matches = number of teams − 1 = 22 − 1 = 21 (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 22 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 22 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 22 = 10. 10 is even, so each half gets 10 ÷ 2 = 5 byes. The byes go, in order, to teams 22, 1, 12, 11, 21, 2, 13, 10, 20 and 3. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 22 teams?

Total number of matches = number of teams − 1 = 22 − 1 = 21, 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 22 teams divided into the upper and lower half?

22 is even, so each half gets 22 ÷ 2 = 11 teams: Teams 1–11 in the upper half and Teams 12–22 in the lower half.

Can I print the 22 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 22 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.