Equations Unknown Mult Div

Equations Unknown Mult Div practice with teacher guidance, common slips, and next-step routes.

Core · Equations Unknown Mult Div · Independent practice · Scalar Entry

Problem number / 2

100 players enter a single-elimination tournament. Each match eliminates exactly 1 player; byes eliminate nobody. Play continues until 1 winner remains. How many matches are required?

100playerseach match
− 1 player1winner

Byes eliminate nobody.

Match Count

Matches

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Print: Ages 10–11 · 3–4 min · Challenge · Counting Invariants · Independent Practice · Match Count

Watch: Watch for 100, 50, or 127 in the match field. Those entries decisively show that the learner counted the starting players, only first-round pairings, or a padded bracket instead of one elimination per match.

Misread: The likely misread is answering with rounds or bracket spaces rather than completed matches. The noun is matches, the action is one player eliminated per match, and the answer is the total match count.

Curriculum: This task uses a fixed-decrement invariant: every completed match lowers the remaining-player count by one. It scores exact whole-number reasoning from 100 players to the terminal count of 1.