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ITMC 2018 Grade 5 National Preliminary set01 Question 24

ITMC · ITMC 2018 Grade 5 National Preliminary set01

Question 24

At the 2018 FIFA World Cup, 32 teams are divided into eight groups A–H of four teams. In the first round, every pair within a group plays exactly one match. A win gives 3 points and a loss gives 0; a draw gives each team 1 point. The two highest-scoring teams in each group advance to the second round.

After the first round of the 2018 World Cup, what is the smallest possible total number of points for all 32 teams?
  1. 84
  2. 90
  3. 96
  4. 108
  5. 120