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Bob's 27 Darts worksheet

Grades 2–3 · CCSS 2.NBT.B.5, 3.NBT.A.2

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

1.
Problem 1.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D2 S1 M, M S3 D4, S6 M M, D3 D5 M, M M S8, S6 D12 M, M M M, D8 S8 M, S3 M S8, D5 M D4
Find: Final score
Answer
2.
Problem 2.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D1 S1 M, M S2 D4, S2 M M, D2 D1 M, M M S5, S8 D10 M, M M M, D5 S4 M, S12 M S10, D16 M D4
Find: Final score
Answer
3.
Problem 3.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D2 S1 M, M S4 D4, S2 M M, D7 D2 M, M M S4, S5 D3 M, M M M, D3 S12 M, S11 M S3, D6 M D1
Find: Final score
Answer
4.
Problem 4.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D2 S2 M, M S1 D4, S5 M M, D4 D3 M, M M S7, S12 D12 M, M M M, D12 S15 M, S16 M S17, D3 M D1
Find: Final score
Answer
5.
Problem 5.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D2 S1 M, M S4 D3, S6 M M, D6 D2 M, M M S7, S12 D2 M, M M M, D16 S3 M, S7 M S3, D9 M D7
Find: Final score
Answer
6.
Problem 6.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D2 S2 M, M S3 D1, S5 M M, D7 D3 M, M M S2, S4 D11 M, M M M, D5 S3 M, S12 M S10, D7 M D3
Find: Final score
Answer
7.
Problem 7.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D1 S1 M, M S2 D3, S4 M M, D1 D5 M, M M S6, S3 D10 M, M M M, D5 S16 M, S18 M S16, D1 M D4
Find: Final score
Answer
8.
Problem 8.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D1 S2 M, M S2 D3, S6 M M, D1 D3 M, M M S9, S10 D10 M, M M M, D4 S2 M, S3 M S8, D11 M D6
Find: Final score
Answer
9.
Problem 9.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D2 S1 M, M S4 D4, S4 M M, D6 D2 M, M M S4, S4 D3 M, M M M, D5 S15 M, S18 M S3, D7 M D2
Find: Final score
Answer
10.
Problem 10.
- Finish with a bull round after D20 (as in Bob Anderson's original): Yes
- Keep playing below zero (practice variant): No
- Rounds, D1 first: D1 S2 M, M S2 D1, S1 M M, D7 D3 M, M M S9, S7 D6 M, M M M, D11 S6 M, S5 M S10, D16 M D16
Find: Final score
Answer

Answer key: Bob's 27 Darts worksheet

1. Final score: -3
1. No round has a hit yet, so nothing is won
  $0$ $= 0$
2. Points lost: each round with no hits subtracts its double once (D1, D2, D3, D4, D5)
  $2 + 4 + 6 + 8 + 10$ $= 30$
3. Start on 27, add what was won and take off what was lost
  $27 + 0 - 30$ $= −3$
2. Final score: -11
1. A hit adds the double's value: in round 1, 1 hit on D1
  $1 \times 2$ $= 2$
2. Points won in the 1 round with at least one hit
  $2$ $= 2$
3. Points lost: each round with no hits subtracts its double once (D2, D3, D4, D5, D6)
  $4 + 6 + 8 + 10 + 12$ $= 40$
4. Start on 27, add what was won and take off what was lost
  $27 + 2 - 40$ $= −11$
3. Final score: -3
1. No round has a hit yet, so nothing is won
  $0$ $= 0$
2. Points lost: each round with no hits subtracts its double once (D1, D2, D3, D4, D5)
  $2 + 4 + 6 + 8 + 10$ $= 30$
3. Start on 27, add what was won and take off what was lost
  $27 + 0 - 30$ $= −3$
4. Final score: -13
1. A hit adds the double's value: in round 4, 1 hit on D4
  $1 \times 8$ $= 8$
2. Points won in the 1 round with at least one hit
  $8$ $= 8$
3. Points lost: each round with no hits subtracts its double once (D1, D2, D3, D5, D6, D7)
  $2 + 4 + 6 + 10 + 12 + 14$ $= 48$
4. Start on 27, add what was won and take off what was lost
  $27 + 8 - 48$ $= −13$
5. Final score: -3
1. No round has a hit yet, so nothing is won
  $0$ $= 0$
2. Points lost: each round with no hits subtracts its double once (D1, D2, D3, D4, D5)
  $2 + 4 + 6 + 8 + 10$ $= 30$
3. Start on 27, add what was won and take off what was lost
  $27 + 0 - 30$ $= −3$
6. Final score: -3
1. No round has a hit yet, so nothing is won
  $0$ $= 0$
2. Points lost: each round with no hits subtracts its double once (D1, D2, D3, D4, D5)
  $2 + 4 + 6 + 8 + 10$ $= 30$
3. Start on 27, add what was won and take off what was lost
  $27 + 0 - 30$ $= −3$
7. Final score: -11
1. A hit adds the double's value: in round 1, 1 hit on D1
  $1 \times 2$ $= 2$
2. Points won in the 1 round with at least one hit
  $2$ $= 2$
3. Points lost: each round with no hits subtracts its double once (D2, D3, D4, D5, D6)
  $4 + 6 + 8 + 10 + 12$ $= 40$
4. Start on 27, add what was won and take off what was lost
  $27 + 2 - 40$ $= −11$
8. Final score: -11
1. A hit adds the double's value: in round 1, 1 hit on D1
  $1 \times 2$ $= 2$
2. Points won in the 1 round with at least one hit
  $2$ $= 2$
3. Points lost: each round with no hits subtracts its double once (D2, D3, D4, D5, D6)
  $4 + 6 + 8 + 10 + 12$ $= 40$
4. Start on 27, add what was won and take off what was lost
  $27 + 2 - 40$ $= −11$
9. Final score: -3
1. No round has a hit yet, so nothing is won
  $0$ $= 0$
2. Points lost: each round with no hits subtracts its double once (D1, D2, D3, D4, D5)
  $2 + 4 + 6 + 8 + 10$ $= 30$
3. Start on 27, add what was won and take off what was lost
  $27 + 0 - 30$ $= −3$
10. Final score: -1
1. A hit adds the double's value: in round 1, 1 hit on D1
  $1 \times 2$ $= 2$
2. Points won in the 2 rounds with at least one hit
  $2 + 12$ $= 14$
3. Points lost: each round with no hits subtracts its double once (D2, D3, D4, D5, D7)
  $4 + 6 + 8 + 10 + 14$ $= 42$
4. Start on 27, add what was won and take off what was lost
  $27 + 14 - 42$ $= −1$