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Shanghai Darts Score worksheet

Grade 3 · CCSS 3.OA.C.7, 3.NBT.A.2

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

1.
Problem 1.
- Rounds: 1–20
- Players: 2
- Player 1 visits: S1 S1 M, D2 S3 M, S5 T2 M, S2 S18 S5, S8 S5 S8, D6 S10 S20, S4 T11 M
- Player 2 visits: S1 M M, S2 S2 S1, T1 S5 M, S15 S2 M, S3 D1 S15, S11 S7 S12, S11 S6 S5
Find: Result
Answer
2.
Problem 2.
- Rounds: 1–7
- Players: 2
- Player 1 visits: S2 S2 M, D4 S1 M, S1 T1 M, S4 S15 S3, S9 S8 S10, D11 S8 S14, S4 T6 M
- Player 2 visits: S1 M M, S1 S2 S4, T6 S1 M, S9 S1 M, S1 D8 S10, S3 S4 S10, S5 S13 S8
Find: Result
Answer
3.
Problem 3.
- Rounds: 1–10
- Players: 3
- Player 1 visits: S1 S1 M, D3 S4 M, S5 T1 M, S2 S17 S6, S1 S8 S5, D11 S8 S8, S5 T9 M
- Player 2 visits: S1 M M, S4 S3 S3, T4 S1 M, S2 S7 M, S2 D8 S7, S8 S8 S7, S13 S2 S2
- Player 3 visits: S1 S2 S1, S3 M M, S3 S5 M, D3 S1 M, S10 M M, S12 S1 M, D13 S2 M
Find: Result
Answer
4.
Problem 4.
- Rounds: 1–7
- Players: 4
- Player 1 visits: S2 S1 M, D1 S3 M, S1 T5 M, S8 S9 S8, S9 S16 S5, D8 S6 S5, S3 T14 M
- Player 2 visits: S2 M M, S1 S3 S3, T1 S1 M, S25 S3 M, S1 D5 S8, S12 S17 S6, S1 S9 S1
- Player 3 visits: S2 S2 S1, S3 M M, S6 S4 M, D5 S4 M, S7 M M, S7 S10 M, D13 S6 M
- Player 4 visits: M M S2, D3 S1 S1, S6 M M, S4 S8 S5, T7 S5 M, S2 M M, S11 M S9
Find: Result
Answer
5.
Problem 5.
- Rounds: 1–10
- Players: 1 (solo)
- Player 1 visits: S2 S1 M, D3 S2 M, S4 T2 M, S2 S8 S3, S3 S16 S6, D1 S5 S4, S11 T8 M
Find: Total score
Answer
6.
Problem 6.
- Rounds: 1–20
- Players: 3
- Player 1 visits: S2 S1 M, D4 S2 M, S5 T1 M, S3 S9 S6, S4 S13 S5, D5 S9 S14, S14 T2 M
- Player 2 visits: S2 M M, S2 S1 S2, T4 S3 M, S14 S3 M, S8 D10 S18, S2 S9 S4, S3 S8 S1
- Player 3 visits: S1 S1 S1, S2 M M, S5 S2 M, D1 S6 M, S6 M M, S12 S10 M, D6 S7 M
Find: Result
Answer
7.
Problem 7.
- Rounds: 1–10
- Players: 2
- Player 1 visits: S1 S1 M, D2 S3 M, S3 T5 M, S6 S19 S1, S5 S11 S5, D11 S9 S5, S14 T11 M
- Player 2 visits: S2 M M, S1 S4 S1, T3 S1 M, S17 S1 M, S7 D2 S3, S5 S12 S4, S9 S2 S2
Find: Result
Answer
8.
Problem 8.
- Rounds: 1–7
- Players: 4
- Player 1 visits: S2 S2 M, D4 S4 M, S4 T1 M, S6 S13 S8, S6 S15 S2, D9 S3 S11, S4 T3 M
- Player 2 visits: S1 M M, S1 S1 S2, T1 S4 M, S5 S3 M, S5 D9 S14, S12 S10 S5, S8 S5 S6
- Player 3 visits: S2 S1 S1, S1 M M, S2 S4 M, D1 S2 M, S3 M M, S8 S5 M, D1 S14 M
- Player 4 visits: M M S1, D1 S4 S1, S1 M M, S6 S5 S6, T3 S7 M, S5 M M, S14 M S11
Find: Result
Answer
9.
Problem 9.
- Rounds: 1–7
- Players: 2
- Player 1 visits: S1 S1 M, D3 S1 M, S2 T6 M, S4 S8 S6, S8 S8 S8, D12 S9 S2, S10 T4 M
- Player 2 visits: S1 M M, S2 S4 S3, T3 S6 M, S2 S4 M, S9 D10 S3, S8 S7 S12, S2 S2 S9
Find: Result
Answer
10.
Problem 10.
- Rounds: 1–7
- Players: 1 (solo)
- Player 1 visits: S2 S1 M, D4 S4 M, S6 T4 M, S3 S25 S2, S7 S3 S8, D9 S4 S15, S8 T13 M
Find: Total score
Answer

Answer key: Shanghai Darts Score worksheet

1. Result: In progress: Player 1 leads with 23
1. Round 1 scores only on 1: Player 1's S1, S1 are worth the number times 1, 2 or 3
  $1 + 1$ $= 2$
2. Player 1: add the round scores so far (7 of 20 rounds)
  $2 + 4 + 0 + 0 + 5 + 12 + 0$ $= 23$
3. Player 2: add the round scores so far (7 of 20 rounds)
  $1 + 4 + 0 + 0 + 0 + 0 + 0$ $= 5$
4. The game isn't over yet; the highest total so far leads
  $result$ $= In progress: Player 1 leads with 23$
2. Result: Player 1 wins with 4
1. Round 1 scores only on 1: Player 2's S1 is worth the number times 1, 2 or 3
  $1$ $= 1$
2. Player 1: add the round scores
  $0 + 0 + 0 + 4 + 0 + 0 + 0$ $= 4$
3. Player 2: add the round scores
  $1 + 2 + 0 + 0 + 0 + 0 + 0$ $= 3$
4. After the last round the highest total wins
  $result$ $= Player 1 wins with 4$
3. Result: In progress: Player 1 leads with 7
1. Round 1 scores only on 1: Player 1's S1, S1 are worth the number times 1, 2 or 3
  $1 + 1$ $= 2$
2. Player 1: add the round scores so far (7 of 10 rounds)
  $2 + 0 + 0 + 0 + 5 + 0 + 0$ $= 7$
3. Player 2: add the round scores so far (7 of 10 rounds)
  $1 + 0 + 0 + 0 + 0 + 0 + 0$ $= 1$
4. Player 3: add the round scores so far (7 of 10 rounds)
  $2 + 0 + 3 + 0 + 0 + 0 + 0$ $= 5$
5. The game isn't over yet; the highest total so far leads
  $result$ $= In progress: Player 1 leads with 7$
4. Result: Player 2 wins with 16
1. Round 1 scores only on 1: Player 1's S1 is worth the number times 1, 2 or 3
  $1$ $= 1$
2. Player 1: add the round scores
  $1 + 0 + 0 + 0 + 5 + 6 + 0$ $= 12$
3. Player 2: add the round scores
  $0 + 0 + 0 + 0 + 10 + 6 + 0$ $= 16$
4. Player 3: add the round scores
  $1 + 0 + 0 + 4 + 0 + 0 + 0$ $= 5$
5. Player 4: add the round scores
  $0 + 0 + 0 + 4 + 5 + 0 + 0$ $= 9$
6. After the last round the highest total wins
  $result$ $= Player 2 wins with 16$
5. Total score: 3
1. Round 1 scores only on 1: Player 1's S1 is worth the number times 1, 2 or 3
  $1$ $= 1$
2. Player 1: add the round scores so far (7 of 10 rounds)
  $1 + 2 + 0 + 0 + 0 + 0 + 0$ $= 3$
3. Add up every round for the score
  $result$ $= 3 after round 7$
6. Result: In progress: Player 3 leads with 12
1. Round 1 scores only on 1: Player 1's S1 is worth the number times 1, 2 or 3
  $1$ $= 1$
2. Player 1: add the round scores so far (7 of 20 rounds)
  $1 + 2 + 0 + 0 + 5 + 0 + 0$ $= 8$
3. Player 2: add the round scores so far (7 of 20 rounds)
  $0 + 4 + 3 + 0 + 0 + 0 + 0$ $= 7$
4. Player 3: add the round scores so far (7 of 20 rounds)
  $3 + 2 + 0 + 0 + 0 + 0 + 7$ $= 12$
5. The game isn't over yet; the highest total so far leads
  $result$ $= In progress: Player 3 leads with 12$
7. Result: In progress: Player 1 leads with 19
1. Round 1 scores only on 1: Player 1's S1, S1 are worth the number times 1, 2 or 3
  $1 + 1$ $= 2$
2. Player 1: add the round scores so far (7 of 10 rounds)
  $2 + 4 + 3 + 0 + 10 + 0 + 0$ $= 19$
3. Player 2: add the round scores so far (7 of 10 rounds)
  $0 + 0 + 9 + 0 + 0 + 0 + 0$ $= 9$
4. The game isn't over yet; the highest total so far leads
  $result$ $= In progress: Player 1 leads with 19$
8. Result: Player 2 wins with 8
1. Round 1 scores only on 1: Player 2's S1 is worth the number times 1, 2 or 3
  $1$ $= 1$
2. Player 1: add the round scores
  $0 + 0 + 0 + 0 + 0 + 0 + 0$ $= 0$
3. Player 2: add the round scores
  $1 + 2 + 0 + 0 + 5 + 0 + 0$ $= 8$
4. Player 3: add the round scores
  $2 + 0 + 0 + 0 + 0 + 0 + 0$ $= 2$
5. Player 4: add the round scores
  $1 + 0 + 0 + 0 + 0 + 0 + 0$ $= 1$
6. After the last round the highest total wins
  $result$ $= Player 2 wins with 8$
9. Result: Player 2 wins with 16
1. Round 1 scores only on 1: Player 1's S1, S1 are worth the number times 1, 2 or 3
  $1 + 1$ $= 2$
2. Player 1: add the round scores
  $2 + 0 + 0 + 4 + 0 + 0 + 0$ $= 6$
3. Player 2: add the round scores
  $1 + 2 + 9 + 4 + 0 + 0 + 0$ $= 16$
4. After the last round the highest total wins
  $result$ $= Player 2 wins with 16$
10. Total score: 1
1. Round 1 scores only on 1: Player 1's S1 is worth the number times 1, 2 or 3
  $1$ $= 1$
2. Player 1: add the round scores
  $1 + 0 + 0 + 0 + 0 + 0 + 0$ $= 1$
3. Add up every round for the score
  $result$ $= Final score 1$