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Tennis Stats worksheet

Grade 6 · CCSS 6.RP.A.3.c

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

1.
Problem 1.
- Service points played: 75
- First serves in: 60
- Points won on the first serve: 45
- Points won on the second serve: 13
- Break points won (optional): 3
- Break-point chances (optional): 6
- Return points won (optional): 35
- Return points played (optional): 100
Find: Service points won
Answer
2.
Problem 2.
- Service points played: 100
- First serves in: 46
- Points won on the first serve: 30
- Points won on the second serve: 14
- Break points won (optional): 4
- Break-point chances (optional): 9
- Return points won (optional): 45
- Return points played (optional): 98
Find: Service points won
Answer
3.
Problem 3.
- Service points played: 100
- First serves in: 55
- Points won on the first serve: 46
- Points won on the second serve: 14
- Break points won (optional): 4
- Break-point chances (optional): 11
- Return points won (optional): 33
- Return points played (optional): 85
Find: Service points won
Answer
4.
Problem 4.
- Service points played: 100
- First serves in: 52
- Points won on the first serve: 28
- Points won on the second serve: 17
- Break points won (optional): 4
- Break-point chances (optional): 8
- Return points won (optional): 34
- Return points played (optional): 90
Find: Service points won
Answer
5.
Problem 5.
- Service points played: 65
- First serves in: 38
- Points won on the first serve: 36
- Points won on the second serve: 16
- Break points won (optional): 3
- Break-point chances (optional): 8
- Return points won (optional): 36
- Return points played (optional): 70
Find: Service points won
Answer
6.
Problem 6.
- Service points played: 90
- First serves in: 62
- Points won on the first serve: 36
- Points won on the second serve: 18
- Break points won (optional): 5
- Break-point chances (optional): 7
- Return points won (optional): 32
- Return points played (optional): 55
Find: Service points won
Answer
7.
Problem 7.
- Service points played: 100
- First serves in: 60
- Points won on the first serve: 36
- Points won on the second serve: 12
- Break points won (optional): 3
- Break-point chances (optional): 11
- Return points won (optional): 30
- Return points played (optional): 95
Find: Service points won
Answer
8.
Problem 8.
- Service points played: 90
- First serves in: 55
- Points won on the first serve: 50
- Points won on the second serve: 18
- Break points won (optional): 5
- Break-point chances (optional): 8
- Return points won (optional): 33
- Return points played (optional): 95
Find: Service points won
Answer
9.
Problem 9.
- Service points played: 69
- First serves in: 52
- Points won on the first serve: 38
- Points won on the second serve: 15
- Break points won (optional): 5
- Break-point chances (optional): 9
- Return points won (optional): 38
- Return points played (optional): 63
Find: Service points won
Answer
10.
Problem 10.
- Service points played: 90
- First serves in: 64
- Points won on the first serve: 38
- Points won on the second serve: 18
- Break points won (optional): 4
- Break-point chances (optional): 9
- Return points won (optional): 24
- Return points played (optional): 80
Find: Service points won
Answer

Answer key: Tennis Stats worksheet

1. Service points won: 77.33%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{60}{75} \times 100$ $= 80%$
2. Every point where the first serve missed went to a second serve, double faults included
  $75 - 60$ $= 15$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{45 + 13}{75} \times 100$ $= 77.3333%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{3}{6} \times 100$ $= 50%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{35}{100} \times 100$ $= 35%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{58 + 35}{75 + 100} \times 100$ $= 53.1429%$
2. Service points won: 44%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{46}{100} \times 100$ $= 46%$
2. Every point where the first serve missed went to a second serve, double faults included
  $100 - 46$ $= 54$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{30 + 14}{100} \times 100$ $= 44%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{4}{9} \times 100$ $= 44.4444%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{45}{98} \times 100$ $= 45.9184%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{44 + 45}{100 + 98} \times 100$ $= 44.9495%$
3. Service points won: 60%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{55}{100} \times 100$ $= 55%$
2. Every point where the first serve missed went to a second serve, double faults included
  $100 - 55$ $= 45$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{46 + 14}{100} \times 100$ $= 60%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{4}{11} \times 100$ $= 36.3636%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{33}{85} \times 100$ $= 38.8235%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{60 + 33}{100 + 85} \times 100$ $= 50.2703%$
4. Service points won: 45%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{52}{100} \times 100$ $= 52%$
2. Every point where the first serve missed went to a second serve, double faults included
  $100 - 52$ $= 48$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{28 + 17}{100} \times 100$ $= 45%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{4}{8} \times 100$ $= 50%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{34}{90} \times 100$ $= 37.7778%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{45 + 34}{100 + 90} \times 100$ $= 41.5789%$
5. Service points won: 80%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{38}{65} \times 100$ $= 58.46%$
2. Every point where the first serve missed went to a second serve, double faults included
  $65 - 38$ $= 27$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{36 + 16}{65} \times 100$ $= 80%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{3}{8} \times 100$ $= 37.5%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{36}{70} \times 100$ $= 51.4286%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{52 + 36}{65 + 70} \times 100$ $= 65.1852%$
6. Service points won: 60%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{62}{90} \times 100$ $= 68.89%$
2. Every point where the first serve missed went to a second serve, double faults included
  $90 - 62$ $= 28$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{36 + 18}{90} \times 100$ $= 60%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{5}{7} \times 100$ $= 71.4286%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{32}{55} \times 100$ $= 58.1818%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{54 + 32}{90 + 55} \times 100$ $= 59.3103%$
7. Service points won: 48%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{60}{100} \times 100$ $= 60%$
2. Every point where the first serve missed went to a second serve, double faults included
  $100 - 60$ $= 40$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{36 + 12}{100} \times 100$ $= 48%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{3}{11} \times 100$ $= 27.2727%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{30}{95} \times 100$ $= 31.5789%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{48 + 30}{100 + 95} \times 100$ $= 40%$
8. Service points won: 75.56%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{55}{90} \times 100$ $= 61.11%$
2. Every point where the first serve missed went to a second serve, double faults included
  $90 - 55$ $= 35$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{50 + 18}{90} \times 100$ $= 75.5556%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{5}{8} \times 100$ $= 62.5%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{33}{95} \times 100$ $= 34.7368%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{68 + 33}{90 + 95} \times 100$ $= 54.5946%$
9. Service points won: 76.81%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{52}{69} \times 100$ $= 75.36%$
2. Every point where the first serve missed went to a second serve, double faults included
  $69 - 52$ $= 17$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{38 + 15}{69} \times 100$ $= 76.8116%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{5}{9} \times 100$ $= 55.5556%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{38}{63} \times 100$ $= 60.3175%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{53 + 38}{69 + 63} \times 100$ $= 68.9394%$
10. Service points won: 62.22%
1. Divide first serves in by all service points to see how often the first serve lands
  $\frac{64}{90} \times 100$ $= 71.11%$
2. Every point where the first serve missed went to a second serve, double faults included
  $90 - 64$ $= 26$
3. Add the points won on both serves and divide by all service points, to see how well the player holds serve
  $\frac{38 + 18}{90} \times 100$ $= 62.2222%$
4. Divide break points won by chances, to see how often a chance to win the opponent's service game pays off
  $\frac{4}{9} \times 100$ $= 44.4444%$
5. Divide return points won by return points played, to see how well the player does against the opponent's serve
  $\frac{24}{80} \times 100$ $= 30%$
6. Add serve and return points together, then divide points won by points played for the whole match
  $\frac{56 + 24}{90 + 80} \times 100$ $= 47.0588%$