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League Table Points worksheet

Grades 6–7 · CCSS 6.EE.A.2.c, 6.RP.A.2

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • What do you have?: A list of results (mini table)
    • Points for a win: 3
    • Points for a draw: 1
    • Points for a loss: 0
    • Results, home team first: Lions 2-1 Hawks, Bears 1-1 Wolves, Hawks 2-1 Bears, Wolves 1-1 Lions, Lions 1-2 Bears, Hawks 2-1 Wolves

    Find: Points of the top team

  2. Problem 2.
    • What do you have?: A list of results (mini table)
    • Points for a win: 4
    • Points for a draw: 1
    • Points for a loss: 0
    • Results, home team first: Lions 3-2 Hawks, Bears 2-1 Wolves, Hawks 5-6 Bears, Wolves 1-4 Lions, Lions 1-1 Bears, Hawks 1-1 Wolves

    Find: Points of the top team

  3. Problem 3.
    • What do you have?: One team's record
    • Points for a win: 3
    • Points for a draw: 2
    • Points for a loss: 0
    • Wins: 16
    • Draws: 7
    • Losses: 4
    • Goals scored (for): 48
    • Goals conceded (against): 36
    • Matches left to play (optional): 7

    Find: Points

  4. Problem 4.
    • What do you have?: A list of results (mini table)
    • Points for a win: 4
    • Points for a draw: 2
    • Points for a loss: 1
    • Results, home team first: Lions 1-1 Hawks, Bears 2-1 Wolves, Hawks 6-2 Bears, Wolves 2-4 Lions, Lions 2-2 Bears, Hawks 1-1 Wolves

    Find: Points of the top team

  5. Problem 5.
    • What do you have?: One team's record
    • Points for a win: 3
    • Points for a draw: 1
    • Points for a loss: 0
    • Wins: 13
    • Draws: 9
    • Losses: 5
    • Goals scored (for): 58
    • Goals conceded (against): 28
    • Matches left to play (optional): 9

    Find: Points

  6. Problem 6.
    • What do you have?: One team's record
    • Points for a win: 3
    • Points for a draw: 1
    • Points for a loss: 0
    • Wins: 15
    • Draws: 9
    • Losses: 4
    • Goals scored (for): 60
    • Goals conceded (against): 37
    • Matches left to play (optional): 8

    Find: Points

  7. Problem 7.
    • What do you have?: A list of results (mini table)
    • Points for a win: 3
    • Points for a draw: 2
    • Points for a loss: 2
    • Results, home team first: Lions 1-1 Hawks, Bears 2-2 Wolves, Hawks 1-1 Bears, Wolves 1-2 Lions, Lions 2-2 Bears, Hawks 4-2 Wolves

    Find: Points of the top team

  8. Problem 8.
    • What do you have?: A list of results (mini table)
    • Points for a win: 3
    • Points for a draw: 1
    • Points for a loss: 0
    • Results, home team first: Lions 1-1 Hawks, Bears 2-1 Wolves, Hawks 1-4 Bears, Wolves 2-3 Lions, Lions 2-1 Bears, Hawks 4-1 Wolves

    Find: Points of the top team

  9. Problem 9.
    • What do you have?: One team's record
    • Points for a win: 3
    • Points for a draw: 1
    • Points for a loss: 0
    • Wins: 22
    • Draws: 9
    • Losses: 5
    • Goals scored (for): 50
    • Goals conceded (against): 29
    • Matches left to play (optional): 9

    Find: Points

  10. Problem 10.
    • What do you have?: One team's record
    • Points for a win: 2
    • Points for a draw: 1
    • Points for a loss: 0
    • Wins: 18
    • Draws: 10
    • Losses: 4
    • Goals scored (for): 65
    • Goals conceded (against): 28
    • Matches left to play (optional): 6

    Find: Points

Answer key: League Table Points worksheet

  1. 1. Points of the top team: 6

    1. Hawks: 2 won, 0 drawn, 1 lost; goals 5–4, difference +1

      2×3+0×1+1×0=6
    2. Bears: 1 won, 1 drawn, 1 lost; goals 4–4, difference 0

      1×3+1×1+1×0=4
    3. Lions: 1 won, 1 drawn, 1 lost; goals 4–4, difference 0

      1×3+1×1+1×0=4
    4. Wolves: 0 won, 2 drawn, 1 lost; goals 3–4, difference -1

      0×3+2×1+1×0=2
    5. Rank the teams by points. If teams are level, goal difference decides, then goals scored

      Top of the table: Hawks
  2. 2. Points of the top team: 9

    1. Lions: 2 won, 1 drawn, 0 lost; goals 8–4, difference +4

      2×4+1×1+0×0=9
    2. Bears: 2 won, 1 drawn, 0 lost; goals 9–7, difference +2

      2×4+1×1+0×0=9
    3. Hawks: 0 won, 1 drawn, 2 lost; goals 8–10, difference -2

      0×4+1×1+2×0=1
    4. Wolves: 0 won, 1 drawn, 2 lost; goals 3–7, difference -4

      0×4+1×1+2×0=1
    5. Rank the teams by points. If teams are level, goal difference decides, then goals scored

      Top of the table: Lions
  3. 3. Points: 62

    1. Add up the points: each win is worth 3, each draw 2 and each loss 0

      16×3+7×2+4×0=62
    2. Find the goal difference: goals scored minus goals let in, the usual tiebreaker

      48−36=12
    3. Divide points by matches played, so teams with different numbers of games can be compared

      6216+7+4=2.296296
    4. Find the most points possible, if the team wins every match it has left

      62+7×3=83
    5. Project the final total, if the team keeps earning points at the same rate per game

      62+2.296296×7=78.074074
  4. 4. Points of the top team: 8

    1. Hawks: 1 won, 2 drawn, 0 lost; goals 8–4, difference +4

      1×4+2×2+0×1=8
    2. Lions: 1 won, 2 drawn, 0 lost; goals 7–5, difference +2

      1×4+2×2+0×1=8
    3. Bears: 1 won, 1 drawn, 1 lost; goals 6–9, difference -3

      1×4+1×2+1×1=7
    4. Wolves: 0 won, 1 drawn, 2 lost; goals 4–7, difference -3

      0×4+1×2+2×1=4
    5. Rank the teams by points. If teams are level, goal difference decides, then goals scored

      Top of the table: Hawks
  5. 5. Points: 48

    1. Add up the points: each win is worth 3, each draw 1 and each loss 0

      13×3+9×1+5×0=48
    2. Find the goal difference: goals scored minus goals let in, the usual tiebreaker

      58−28=30
    3. Divide points by matches played, so teams with different numbers of games can be compared

      4813+9+5=1.777778
    4. Find the most points possible, if the team wins every match it has left

      48+9×3=75
    5. Project the final total, if the team keeps earning points at the same rate per game

      48+1.777778×9=64
  6. 6. Points: 54

    1. Add up the points: each win is worth 3, each draw 1 and each loss 0

      15×3+9×1+4×0=54
    2. Find the goal difference: goals scored minus goals let in, the usual tiebreaker

      60−37=23
    3. Divide points by matches played, so teams with different numbers of games can be compared

      5415+9+4=1.928571
    4. Find the most points possible, if the team wins every match it has left

      54+8×3=78
    5. Project the final total, if the team keeps earning points at the same rate per game

      54+1.928571×8=69.428571
  7. 7. Points of the top team: 7

    1. Hawks: 1 won, 2 drawn, 0 lost; goals 6–4, difference +2

      1×3+2×2+0×2=7
    2. Lions: 1 won, 2 drawn, 0 lost; goals 5–4, difference +1

      1×3+2×2+0×2=7
    3. Bears: 0 won, 3 drawn, 0 lost; goals 5–5, difference 0

      0×3+3×2+0×2=6
    4. Wolves: 0 won, 1 drawn, 2 lost; goals 5–8, difference -3

      0×3+1×2+2×2=6
    5. Rank the teams by points. If teams are level, goal difference decides, then goals scored

      Top of the table: Hawks
  8. 8. Points of the top team: 7

    1. Lions: 2 won, 1 drawn, 0 lost; goals 6–4, difference +2

      2×3+1×1+0×0=7
    2. Bears: 2 won, 0 drawn, 1 lost; goals 7–4, difference +3

      2×3+0×1+1×0=6
    3. Hawks: 1 won, 1 drawn, 1 lost; goals 6–6, difference 0

      1×3+1×1+1×0=4
    4. Wolves: 0 won, 0 drawn, 3 lost; goals 4–9, difference -5

      0×3+0×1+3×0=0
    5. Rank the teams by points. If teams are level, goal difference decides, then goals scored

      Top of the table: Lions
  9. 9. Points: 75

    1. Add up the points: each win is worth 3, each draw 1 and each loss 0

      22×3+9×1+5×0=75
    2. Find the goal difference: goals scored minus goals let in, the usual tiebreaker

      50−29=21
    3. Divide points by matches played, so teams with different numbers of games can be compared

      7522+9+5=2.083333
    4. Find the most points possible, if the team wins every match it has left

      75+9×3=102
    5. Project the final total, if the team keeps earning points at the same rate per game

      75+2.083333×9=93.75
  10. 10. Points: 46

    1. Add up the points: each win is worth 2, each draw 1 and each loss 0

      18×2+10×1+4×0=46
    2. Find the goal difference: goals scored minus goals let in, the usual tiebreaker

      65−28=37
    3. Divide points by matches played, so teams with different numbers of games can be compared

      4618+10+4=1.4375
    4. Find the most points possible, if the team wins every match it has left

      46+6×2=58
    5. Project the final total, if the team keeps earning points at the same rate per game

      46+1.4375×6=54.625