Printable worksheet

← Back to the Goals Against Average Calculator

In the print window, choose “Save as PDF” as the printer (or print it on paper). Seed 1 rebuilds this exact sheet.

Goals Against Average worksheet

Grade 6 · CCSS 6.RP.A.3.b, 6.RP.A.2

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

1.
Problem 1.
- Goals against (GA): 50
- Minutes played: 1,900 min
- Plus seconds: 35 s
- Average per: 90 minutes (soccer)
Find: Goals against average (per 90 minutes)
Answer
2.
Problem 2.
- Goals against (GA): 41
- Minutes played: 1,800 min
- Plus seconds: 26 s
- Average per: 90 minutes (soccer)
Find: Goals against average (per 90 minutes)
Answer
3.
Problem 3.
- Goals against (GA): 50
- Minutes played: 1,800 min
- Plus seconds: 36 s
- Average per: 60 minutes (hockey)
Find: Goals against average (per 60 minutes)
Answer
4.
Problem 4.
- Goals against (GA): 40
- Minutes played: 1,520 min
- Plus seconds: 32 s
- Average per: 60 minutes (hockey)
Find: Goals against average (per 60 minutes)
Answer
5.
Problem 5.
- Goals against (GA): 50
- Minutes played: 2,500 min
- Plus seconds: 26 s
- Average per: Other game length
- Game length: 55 min
Find: Goals against average (per 55 minutes)
Answer
6.
Problem 6.
- Goals against (GA): 58
- Minutes played: 1,850 min
- Plus seconds: 28 s
- Average per: Other game length
- Game length: 50 min
Find: Goals against average (per 50 minutes)
Answer
7.
Problem 7.
- Goals against (GA): 50
- Minutes played: 1,800 min
- Plus seconds: 18 s
- Average per: 60 minutes (hockey)
Find: Goals against average (per 60 minutes)
Answer
8.
Problem 8.
- Goals against (GA): 50
- Minutes played: 1,600 min
- Plus seconds: 34 s
- Average per: Other game length
- Game length: 45 min
Find: Goals against average (per 45 minutes)
Answer
9.
Problem 9.
- Goals against (GA): 45
- Minutes played: 1,600 min
- Plus seconds: 28 s
- Average per: Other game length
- Game length: 60 min
Find: Goals against average (per 60 minutes)
Answer
10.
Problem 10.
- Goals against (GA): 42
- Minutes played: 2,300 min
- Plus seconds: 20 s
- Average per: Other game length
- Game length: 38 min
Find: Goals against average (per 38 minutes)
Answer

Answer key: Goals Against Average worksheet

1. Goals against average (per 90 minutes): 2.37
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,900 + \frac{35}{60}$ $= 1,900.583333$
2. Scale the goals up to a full 90-minute game: goals × 90 ÷ minutes played
  $\frac{50 \times 90}{1,900.583333}$ $= 2.367694$
3. The time played equals this many full 90-minute games
  $\frac{1,900.583333}{90}$ $= 21.117593$
2. Goals against average (per 90 minutes): 2.05
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,800 + \frac{26}{60}$ $= 1,800.433333$
2. Scale the goals up to a full 90-minute game: goals × 90 ÷ minutes played
  $\frac{41 \times 90}{1,800.433333}$ $= 2.049507$
3. The time played equals this many full 90-minute games
  $\frac{1,800.433333}{90}$ $= 20.004815$
3. Goals against average (per 60 minutes): 1.67
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,800 + \frac{36}{60}$ $= 1,800.6$
2. Scale the goals up to a full 60-minute game: goals × 60 ÷ minutes played
  $\frac{50 \times 60}{1,800.6}$ $= 1.666111$
3. The time played equals this many full 60-minute games
  $\frac{1,800.6}{60}$ $= 30.01$
4. Goals against average (per 60 minutes): 1.58
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,520 + \frac{32}{60}$ $= 1,520.533333$
2. Scale the goals up to a full 60-minute game: goals × 60 ÷ minutes played
  $\frac{40 \times 60}{1,520.533333}$ $= 1.578394$
3. The time played equals this many full 60-minute games
  $\frac{1,520.533333}{60}$ $= 25.342222$
5. Goals against average (per 55 minutes): 1.1
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $2,500 + \frac{26}{60}$ $= 2,500.433333$
2. Scale the goals up to a full 55-minute game: goals × 55 ÷ minutes played
  $\frac{50 \times 55}{2,500.433333}$ $= 1.099809$
3. The time played equals this many full 55-minute games
  $\frac{2,500.433333}{55}$ $= 45.462424$
6. Goals against average (per 50 minutes): 1.57
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,850 + \frac{28}{60}$ $= 1,850.466667$
2. Scale the goals up to a full 50-minute game: goals × 50 ÷ minutes played
  $\frac{58 \times 50}{1,850.466667}$ $= 1.567172$
3. The time played equals this many full 50-minute games
  $\frac{1,850.466667}{50}$ $= 37.009333$
7. Goals against average (per 60 minutes): 1.67
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,800 + \frac{18}{60}$ $= 1,800.3$
2. Scale the goals up to a full 60-minute game: goals × 60 ÷ minutes played
  $\frac{50 \times 60}{1,800.3}$ $= 1.666389$
3. The time played equals this many full 60-minute games
  $\frac{1,800.3}{60}$ $= 30.005$
8. Goals against average (per 45 minutes): 1.41
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,600 + \frac{34}{60}$ $= 1,600.566667$
2. Scale the goals up to a full 45-minute game: goals × 45 ÷ minutes played
  $\frac{50 \times 45}{1,600.566667}$ $= 1.405752$
3. The time played equals this many full 45-minute games
  $\frac{1,600.566667}{45}$ $= 35.568148$
9. Goals against average (per 60 minutes): 1.69
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $1,600 + \frac{28}{60}$ $= 1,600.466667$
2. Scale the goals up to a full 60-minute game: goals × 60 ÷ minutes played
  $\frac{45 \times 60}{1,600.466667}$ $= 1.687008$
3. The time played equals this many full 60-minute games
  $\frac{1,600.466667}{60}$ $= 26.674444$
10. Goals against average (per 38 minutes): 0.69
1. Turn the extra seconds into part of a minute, so all the time is in one unit
  $2,300 + \frac{20}{60}$ $= 2,300.333333$
2. Scale the goals up to a full 38-minute game: goals × 38 ÷ minutes played
  $\frac{42 \times 38}{2,300.333333}$ $= 0.693812$
3. The time played equals this many full 38-minute games
  $\frac{2,300.333333}{38}$ $= 60.535088$