In a round-robin tournament with 8 teams, each team plays every other team once.
Practice Questions
Q1
In a round-robin tournament with 8 teams, each team plays every other team once. If Team A won 5 matches, lost 2, and drew 1, what is Team A's total points if a win gives 3 points, a draw gives 1 point, and a loss gives 0 points? (2023)
16
15
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17
Questions & Step-by-Step Solutions
In a round-robin tournament with 8 teams, each team plays every other team once. If Team A won 5 matches, lost 2, and drew 1, what is Team A's total points if a win gives 3 points, a draw gives 1 point, and a loss gives 0 points? (2023)
Step 1: Identify how many matches Team A won, drew, and lost. Team A won 5 matches, drew 1 match, and lost 2 matches.
Step 2: Understand the points system: Each win gives 3 points, each draw gives 1 point, and each loss gives 0 points.
Step 3: Calculate the points from wins: Multiply the number of wins (5) by the points for a win (3). This gives 5 * 3 = 15 points.
Step 4: Calculate the points from draws: Multiply the number of draws (1) by the points for a draw (1). This gives 1 * 1 = 1 point.
Step 5: Add the points from wins and draws together: 15 points (from wins) + 1 point (from draws) = 16 points.
Step 6: State the total points for Team A: Team A has a total of 16 points.
