Captivating Calculations: How to Calculate Your Score During a ... - Free Printable

Problem Overview:

The task involves calculating the bowling scores for three players in each worksheet based on their frame-by-frame performance. The goal is to determine the total score for each player and identify the winner of each game.

Key Rules for Bowling Scoring:

1. Regular Frame (Non-Strike, Non-Spare):
- Score is the sum of pins knocked down in that frame.
2. Spare:
- A spare occurs when all 10 pins are knocked down in two rolls within a frame.
- The score for the spare frame includes the 10 pins plus the number of pins knocked down in the first roll of the next frame.
3. Strike:
- A strike occurs when all 10 pins are knocked down with the first roll.
- The score for the strike frame includes 10 pins plus the number of pins knocked down in the next two rolls.
4. Tenth Frame:
- If a spare or strike is achieved in the tenth frame, additional rolls are allowed to complete the scoring for that frame.

Solution Approach:

We will calculate the scores for each player step by step, considering the rules above.

---

Bowling Math Work Sheet #1

#### Player: Jeff
| Frame | Rolls | Score Calculation | Cumulative Score |
|-------|----------------|-------------------|------------------|
| 1 | 2, 4 | 6 | 6 |
| 2 | X (Strike) | 10 + 4 + 0 = 14 | 20 |
| 3 | 3, / (Spare) | 10 + 7 = 17 | 37 |
| 4 | 4, 0 | 4 | 41 |
| 5 | 7, 2 | 9 | 50 |
| 6 | 0, 4 | 4 | 54 |
| 7 | 8, 1 | 9 | 63 |
| 8 | 0, 0 | 0 | 63 |
| 9 | 9, / (Spare) | 10 + 7 = 17 | 80 |
| 10 | 7, 1 | 8 | 88 |

Final Score for Jeff: 88

---

#### Player: Lisa
| Frame | Rolls | Score Calculation | Cumulative Score |
|-------|----------------|-------------------|------------------|
| 1 | X (Strike) | 10 + 1 + 7 = 18 | 18 |
| 2 | 1, 7 | 8 | 26 |
| 3 | 6, 3 | 9 | 35 |
| 4 | X (Strike) | 10 + 4 + 3 = 17 | 52 |
| 5 | 2, / (Spare) | 10 + 4 = 14 | 66 |
| 6 | 3, 4 | 7 | 73 |
| 7 | 5, 2 | 7 | 80 |
| 8 | 0, 0 | 0 | 80 |
| 9 | 9, 2 | 11 | 91 |
| 10 | 7 | 7 | 98 |

Final Score for Lisa: 98

---

#### Player: Ellen
| Frame | Rolls | Score Calculation | Cumulative Score |
|-------|----------------|-------------------|------------------|
| 1 | 2, 3 | 5 | 5 |
| 2 | 7, / (Spare) | 10 + 4 = 14 | 19 |
| 3 | 4, 2 | 6 | 25 |
| 4 | 8, 0 | 8 | 33 |
| 5 | 8, 1 | 9 | 42 |
| 6 | 2, 5 | 7 | 49 |
| 7 | 1, 8 | 9 | 58 |
| 8 | 4, 4 | 8 | 66 |
| 9 | 0, 9, / (Spare)| 10 + 7 = 17 | 83 |
| 10 | 7 | 7 | 90 |

Final Score for Ellen: 90

---

Winner of Worksheet #1:

- Jeff: 88
- Lisa: 98
- Ellen: 90

Lisa is the winner with a score of 98.

---

Bowling Math Work Sheet #2

#### Player: Kyle
| Frame | Rolls | Score Calculation | Cumulative Score |
|-------|----------------|-------------------|------------------|
| 1 | X (Strike) | 10 + 0 + 1 = 11 | 11 |
| 2 | 0, / (Spare) | 10 + 3 = 13 | 24 |
| 3 | 1, 3 | 4 | 28 |
| 4 | 1, 8 | 9 | 37 |
| 5 | 2, 6 | 8 | 45 |
| 6 | 2, 5 | 7 | 52 |
| 7 | 3, 2 | 5 | 57 |
| 8 | 4, / (Spare) | 10 + 1 = 11 | 68 |
| 9 | 1, 2 | 3 | 71 |
| 10 | 1, 2 | 3 | 74 |

Final Score for Kyle: 74

---

#### Player: Tanya
| Frame | Rolls | Score Calculation | Cumulative Score |
|-------|----------------|-------------------|------------------|
| 1 | X (Strike) | 10 + 9 + 1 = 20 | 20 |
| 2 | 9, / (Spare) | 10 + 6 = 16 | 36 |
| 3 | 6, 1 | 7 | 43 |
| 4 | 1, 5 | 6 | 49 |
| 5 | 4, / (Spare) | 10 + 3 = 13 | 62 |
| 6 | 1, 6 | 7 | 69 |
| 7 | 2, 3 | 5 | 74 |
| 8 | 5, 4, 5 (Spare)| 10 + 5 = 15 | 89 |
| 9 | 3 | 3 | 92 |
| 10 | 3 | 3 | 95 |

Final Score for Tanya: 95

---

#### Player: Josh
| Frame | Rolls | Score Calculation | Cumulative Score |
|-------|----------------|-------------------|------------------|
| 1 | 2, 5 | 7 | 7 |
| 2 | 6, 0 | 6 | 13 |
| 3 | 4, 5 | 9 | 22 |
| 4 | 0, 7 | 7 | 29 |
| 5 | 9, / (Spare) | 10 + 1 = 11 | 40 |
| 6 | 5, 3 | 8 | 48 |
| 7 | 2, 4 | 6 | 54 |

(Note: The image seems incomplete for Josh's frames 8–10. Assuming no further information, we'll stop here.)

Final Score for Josh (Incomplete): 54

---

Winner of Worksheet #2:

- Kyle: 74
- Tanya: 95
- Josh: 54 (incomplete)

Tanya is the winner with a score of 95.

---

Final Answers:

1. Worksheet #1 Winner: Lisa (98)
2. Worksheet #2 Winner: Tanya (95)

Boxed Final Answer:
$$
\boxed{\text{Lisa, Tanya}}
$$