Musical Math Worksheet: Solve simple addition problems using musical note values.

Let's solve this Musical Math Worksheet step by step. The goal is to add the values of musical notes using standard note durations.

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🎵 Basic Note Values (in beats):

- Whole note (○) = 4 beats
- Half note (♩) = 2 beats
- Dotted half note (♩.) = 3 beats (half note + half of its value: 2 + 1 = 3)
- Quarter note (♪) = 1 beat
- Eighth note (♫) = 0.5 beats
- Dotted quarter note (♪.) = 1.5 beats (quarter note + half of it: 1 + 0.5 = 1.5)
- Two eighth notes (♫♫) = 1 beat total
- Sixteenth note (♬) = 0.25 beats
- Dotted eighth note (♫.) = 0.75 beats

We'll use these to solve each problem.

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✔ Left Column (Problems 1–10)

1. ♩ + ♩.
Half note (2) + Dotted half note (3) = 5 beats → Whole note + Quarter note or just 5 beats, but we express as a note:
→ 5 beats = Whole note (4) + Quarter note (1), so answer is: ○ + ♪
But since we're adding, and no single note equals 5, we write: 5 beats
However, in music math, often you combine into equivalent notes.
→ Answer: ○ + ♪ or simply 5 beats
But since the worksheet likely wants a note symbol, let’s see if it can be represented.
There's no standard note for 5 beats — so best to write 5 beats or draw a whole note with a quarter note added.
But typically, we just state the total beats unless asked to simplify.
→ Answer: 5 beats

But let’s assume the goal is to write the equivalent note(s) or total beats.

Since many problems have simple answers, we’ll go with total beats unless it simplifies to a known note.

So:

1. ♩ + ♩. = 2 + 3 = 5 beats

2. ♩. + ♩. = 3 + 3 = 6 beats
→ 6 beats = 1.5 whole notes? No. 6 = 2 × 3 → Two dotted half notes, or whole note + two quarter notes, etc.
→ 6 beats

3. ♩. + ♩. = 3 + 3 = 6 beats

4. ○ + ♩. = 4 + 3 = 7 beats

5. ♩. + ♫ = 3 + 0.5 = 3.5 beats

6. ♩. + ♫♫ = 3 + 1 = 4 beats → ○ (whole note)

7. ♫ + ♫ = 0.5 + 0.5 = 1 beat → ♪ (quarter note)

8. ♫ + ○ = 0.5 + 4 = 4.5 beats

9. ♩. + ♩ = 3 + 2 = 5 beats

10. ♫♫ + ♩. = 1 + 3 = 4 beats → ○ (whole note)

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✔ Right Column (Problems 11–20)

11. ♪ + ♩. = 1 + 3 = 4 beats → ○

12. ♩ + ♬ = 2 + 0.25 = 2.25 beats

13. ♩. + ♩. = 3 + 3 = 6 beats

14. ♩ + ♩. = 2 + 3 = 5 beats

15. ♪ + ♩ = 1 + 2 = 3 beats → ♩. (dotted half note)

16. ♩. + ♩ = 3 + 2 = 5 beats

17. ♪ + ♪ = 1 + 1 = 2 beats → ♩ (half note)

18. ♩ + ♪ = 2 + 1 = 3 beats → ♩. (dotted half note)

19. ♬ + ♪ = 0.25 + 1 = 1.25 beats

20. ♩. + ♬ = 3 + 0.25 = 3.25 beats

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✔ Final Answers (Total Beats):

| Problem | Answer (beats) | Equivalent Notes |
|--------|----------------|------------------|
| 1 | 5 | ○ + ♪ |
| 2 | 6 | ♩. + ♩. or ♩ + ♩ + ♩ |
| 3 | 6 | same as above |
| 4 | 7 | ○ + ♩. |
| 5 | 3.5 | ♩. + ♫ |
| 6 | 4 | ○ |
| 7 | 1 | ♪ |
| 8 | 4.5 | ○ + ♫ |
| 9 | 5 | ○ + ♪ |
| 10 | 4 | ○ |
| 11 | 4 | ○ |
| 12 | 2.25 | ♩ + ♬ |
| 13 | 6 | ♩. + ♩. |
| 14 | 5 | ○ + ♪ |
| 15 | 3 | ♩. |
| 16 | 5 | ○ + ♪ |
| 17 | 2 | ♩ |
| 18 | 3 | ♩. |
| 19 | 1.25 | ♪ + ♬ |
| 20 | 3.25 | ♩. + ♬ |

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✔ How to Fill the Worksheet:

Since the worksheet asks to "use the correct note values", you should draw the appropriate note(s) that equal the sum, or write the total beats.

But since it's a worksheet, likely you are to write the resulting note(s) or total beats.

Let’s go through each one and give the answer in note form or beats.

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✔ Final Answer Key (Simplified):

1. ♩ + ♩. = 5 beats → ○ + ♪
2. ♩. + ♩. = 6 beats → ♩. + ♩.
3. ♩. + ♩. = 6 beats → ♩. + ♩.
4. ○ + ♩. = 7 beats → ○ + ♩.
5. ♩. + ♫ = 3.5 beats → ♩. + ♫
6. ♩. + ♫♫ = 4 beats → ○
7. ♫ + ♫ = 1 beat → ♪
8. ♫ + ○ = 4.5 beats → ○ + ♫
9. ♩. + ♩ = 5 beats → ○ + ♪
10. ♫♫ + ♩. = 4 beats → ○
11. ♪ + ♩. = 4 beats → ○
12. ♩ + ♬ = 2.25 beats → ♩ + ♬
13. ♩. + ♩. = 6 beats → ♩. + ♩.
14. ♩ + ♩. = 5 beats → ○ + ♪
15. ♪ + ♩ = 3 beats → ♩.
16. ♩. + ♩ = 5 beats → ○ + ♪
17. ♪ + ♪ = 2 beats → ♩
18. ♩ + ♪ = 3 beats → ♩.
19. ♬ + ♪ = 1.25 beats → ♪ + ♬
20. ♩. + ♬ = 3.25 beats → ♩. + ♬

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✔ Summary:

For most problems, the answer is either:
- A single note (e.g., 2 beats → half note)
- A combination (e.g., 5 beats → whole note + quarter note)
- Or just the total number of beats

But since the worksheet says “use the correct note values”, you should draw the appropriate note(s) that represent the sum.

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🔍 Example Explanation:

Take problem 6:
♩. + ♫♫ = 3 + 1 = 4 beats → This equals a whole note (○), so you would draw an ○.

Similarly, problem 7:
♫ + ♫ = 0.5 + 0.5 = 1 beat → Draw a quarter note (♪)

Problem 15:
♪ + ♩ = 1 + 2 = 3 beats → Draw a dotted half note (♩.)

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✔ Final Answer (for filling in worksheet):

Here are the answers to write (either draw or label):

1. ○ + ♪
2. ♩. + ♩.
3. ♩. + ♩.
4. ○ + ♩.
5. ♩. + ♫
6. ○
7. ♪
8. ○ + ♫
9. ○ + ♪
10. ○
11. ○
12. ♩ + ♬
13. ♩. + ♩.
14. ○ + ♪
15. ♩.
16. ○ + ♪
17. ♩
18. ♩.
19. ♪ + ♬
20. ♩. + ♬

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✔ You can now fill in the worksheet! Just draw the corresponding notes or write the total beats as shown.

Let me know if you want a printable version or need help drawing the symbols!