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Points Per Game worksheet

Grades 6–7 · CCSS 6.RP.A.3.b, 7.EE.B.4.a

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

1.
Problem 1.
- Total points: 375
- Games played: 20
- Games left (optional): 75
- Target season average (optional): 19
Find: Points per game
Answer
2.
Problem 2.
- Total points: 325
- Games played: 12
- Games left (optional): 68
- Target season average (optional): 30
Find: Points per game
Answer
3.
Problem 3.
- Total points: 500
- Games played: 16
- Games left (optional): 50
- Target season average (optional): 21
Find: Points per game
Answer
4.
Problem 4.
- Total points: 450
- Games played: 18
- Games left (optional): 90
- Target season average (optional): 29
Find: Points per game
Answer
5.
Problem 5.
- Total points: 500
- Games played: 20
- Games left (optional): 78
- Target season average (optional): 20
Find: Points per game
Answer
6.
Problem 6.
- Total points: 440
- Games played: 21
- Games left (optional): 64
- Target season average (optional): 25
Find: Points per game
Answer
7.
Problem 7.
- Total points: 275
- Games played: 16
- Games left (optional): 60
- Target season average (optional): 28
Find: Points per game
Answer
8.
Problem 8.
- Total points: 400
- Games played: 16
- Games left (optional): 72
- Target season average (optional): 22
Find: Points per game
Answer
9.
Problem 9.
- Total points: 500
- Games played: 18
- Games left (optional): 50
- Target season average (optional): 25
Find: Points per game
Answer
10.
Problem 10.
- Total points: 370
- Games played: 16
- Games left (optional): 68
- Target season average (optional): 26
Find: Points per game
Answer

Answer key: Points Per Game worksheet

1. Points per game: 18.75
1. Points per game is total points divided by games played
  $\frac{375}{20}$ $= 18.75$
2. Projected season total: the same average over every game
  $18.75 \times (20 + 75)$ $= 1,781.25$
3. Points the target average needs over the whole season
  $19 \times 95$ $= 1,805$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{1,805 - 375}{75}$ $= 19.066667$
2. Points per game: 27.08
1. Points per game is total points divided by games played
  $\frac{325}{12}$ $= 27.083333$
2. Projected season total: the same average over every game
  $27.083333 \times (12 + 68)$ $= 2,166.666667$
3. Points the target average needs over the whole season
  $30 \times 80$ $= 2,400$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{2,400 - 325}{68}$ $= 30.514706$
3. Points per game: 31.25
1. Points per game is total points divided by games played
  $\frac{500}{16}$ $= 31.25$
2. Projected season total: the same average over every game
  $31.25 \times (16 + 50)$ $= 2,062.5$
3. Points the target average needs over the whole season
  $21 \times 66$ $= 1,386$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{1,386 - 500}{50}$ $= 17.72$
4. Points per game: 25
1. Points per game is total points divided by games played
  $\frac{450}{18}$ $= 25$
2. Projected season total: the same average over every game
  $25 \times (18 + 90)$ $= 2,700$
3. Points the target average needs over the whole season
  $29 \times 108$ $= 3,132$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{3,132 - 450}{90}$ $= 29.8$
5. Points per game: 25
1. Points per game is total points divided by games played
  $\frac{500}{20}$ $= 25$
2. Projected season total: the same average over every game
  $25 \times (20 + 78)$ $= 2,450$
3. Points the target average needs over the whole season
  $20 \times 98$ $= 1,960$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{1,960 - 500}{78}$ $= 18.717949$
6. Points per game: 20.95
1. Points per game is total points divided by games played
  $\frac{440}{21}$ $= 20.952381$
2. Projected season total: the same average over every game
  $20.952381 \times (21 + 64)$ $= 1,780.952381$
3. Points the target average needs over the whole season
  $25 \times 85$ $= 2,125$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{2,125 - 440}{64}$ $= 26.328125$
7. Points per game: 17.19
1. Points per game is total points divided by games played
  $\frac{275}{16}$ $= 17.1875$
2. Projected season total: the same average over every game
  $17.1875 \times (16 + 60)$ $= 1,306.25$
3. Points the target average needs over the whole season
  $28 \times 76$ $= 2,128$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{2,128 - 275}{60}$ $= 30.883333$
8. Points per game: 25
1. Points per game is total points divided by games played
  $\frac{400}{16}$ $= 25$
2. Projected season total: the same average over every game
  $25 \times (16 + 72)$ $= 2,200$
3. Points the target average needs over the whole season
  $22 \times 88$ $= 1,936$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{1,936 - 400}{72}$ $= 21.333333$
9. Points per game: 27.78
1. Points per game is total points divided by games played
  $\frac{500}{18}$ $= 27.777778$
2. Projected season total: the same average over every game
  $27.777778 \times (18 + 50)$ $= 1,888.888889$
3. Points the target average needs over the whole season
  $25 \times 68$ $= 1,700$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{1,700 - 500}{50}$ $= 24$
10. Points per game: 23.13
1. Points per game is total points divided by games played
  $\frac{370}{16}$ $= 23.125$
2. Projected season total: the same average over every game
  $23.125 \times (16 + 68)$ $= 1,942.5$
3. Points the target average needs over the whole season
  $26 \times 84$ $= 2,184$
4. Subtract the points already scored, then share the rest over the games left
  $\frac{2,184 - 370}{68}$ $= 26.676471$