Students use this Musical Maths worksheet to calculate the total beat count by adding different musical note values together.
Musical Maths worksheet with note value addition problems featuring crotchets, minims, semibreves, and quavers.
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Step-by-step solution for: Music at Chadwell: Year 3 Music Maths and CODE breaker for reading ...
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Show Answer Key & Explanations
Step-by-step solution for: Music at Chadwell: Year 3 Music Maths and CODE breaker for reading ...
Let's solve this "Musical Maths" worksheet step by step.
---
From the legend:
| Note | Value |
|------|-------|
| Crotchet (♩) | 1 |
| Minim (♫) | 2 |
| Semibreve (𝅝) | 4 |
| Quavers (♪♪) | ½ each → Two quavers = 1 |
| Dotted minim (♫.) | 3 |
| Dotted crotchet (♩.) | 1.5 (or 1 + ½) |
> ✔ Remember:
- A dot adds half the value of the note.
- So, a dotted minim (♫.) = 2 + 1 = 3
- A dotted crotchet (♩.) = 1 + 0.5 = 1.5
---
We’ll go through each column and calculate the sums.
---
## 🟦 Column 1
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♩ = 2 + 1 = 3
3. ♩ + ♩ = 1 + 1 = 2
4. 𝅝 + ♩ = 4 + 1 = 5
5. ♫ + ♫ = 2 + 2 = 4
6. 𝅝 + 𝅝 = 4 + 4 = 8
7. ♩ + 𝅝 = 1 + 4 = 5
8. 𝅝 + ♫ = 4 + 2 = 6
9. ♫ + ♩ = 2 + 1 = 3
✔ Column 1:
2, 3, 2, 5, 4, 8, 5, 6, 3
---
## 🟨 Column 2
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♩ = 2 + 1 = 3
3. 𝅝 + ♩ = 4 + 1 = 5
4. ♩ + ♩ = 1 + 1 = 2
5. ♫ + 𝅝 = 2 + 4 = 6
6. ♩ + ♫ = 1 + 2 = 3
7. 𝅝 + ♫ = 4 + 2 = 6
8. ♫ + ♫ = 2 + 2 = 4
9. ♩ + ♫ = 1 + 2 = 3
✔ Column 2:
2, 3, 5, 2, 6, 3, 6, 4, 3
---
## 🟩 Column 3
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♩ = 2 + 1 = 3
3. ♪♪ + ♩ = 1 + 1 = 2
4. ♩ + ♪♪ = 1 + 1 = 2
5. ♪♪ + ♪♪ = 1 + 1 = 2
6. ♫ + ♫ = 2 + 2 = 4
7. ♩ + ♫ = 1 + 2 = 3
8. ♪♪ + ♫ = 1 + 2 = 3
9. ♫ + ♩ = 2 + 1 = 3
✔ Column 3:
2, 3, 2, 2, 2, 4, 3, 3, 3
---
## 🟪 Column 4
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♪♪ = 2 + 1 = 3
3. ♪♪ + ♪♪ = 1 + 1 = 2
4. ♫ + ♫ = 2 + 2 = 4
5. ♩ + ♫ = 1 + 2 = 3
6. ♫ + ♩ = 2 + 1 = 3
7. ♩ + ♩ = 1 + 1 = 2
8. ♫ + ♩ = 2 + 1 = 3
9. ♪♪ + ♩ = 1 + 1 = 2
✔ Column 4:
2, 3, 2, 4, 3, 3, 2, 3, 2
---
## 🟫 Column 5
Now we have dotted notes.
1. ♫ + ♫ = 2 + 2 = 4
2. ♫ + ♩. = 2 + 1.5 = 3.5
3. 𝅝 + 𝅝 = 4 + 4 = 8
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. 𝅝 + ♩. = 4 + 1.5 = 5.5
6. 𝅝 + 𝅝 = 4 + 4 = 8
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♫ + ♩ = 2 + 1 = 3
9. ♩. + 𝅝 = 1.5 + 4 = 5.5
✔ Column 5:
4, 3.5, 8, 3, 5.5, 8, 2.5, 3, 5.5
---
## Column 6
1. ♫ + ♫ = 2 + 2 = 4
2. 𝅝 + ♩. = 4 + 1.5 = 5.5
3. ♩. + ♩. = 1.5 + 1.5 = 3
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. ♫ + ♫ = 2 + 2 = 4
6. ♫ + ♩. = 2 + 1.5 = 3.5
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♩. + ♫ = 1.5 + 2 = 3.5
9. ♩. + ♩. = 1.5 + 1.5 = 3
✔ Column 6:
4, 5.5, 3, 3, 4, 3.5, 2.5, 3.5, 3
---
## 🟥 Column 7
Now with quavers and dotted notes.
1. ♩ + ♪ = 1 + 0.5 = 1.5
2. ♩ + ♪♪ = 1 + 1 = 2
3. ♩. + ♩ = 1.5 + 1 = 2.5
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. ♪ + ♪ = 0.5 + 0.5 = 1
6. ♪♪ + ♪ = 1 + 0.5 = 1.5
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♩ + ♩ = 1 + 1 = 2
9. ♪♪ + ♪♪ = 1 + 1 = 2
✔ Column 7:
1.5, 2, 2.5, 3, 1, 1.5, 2.5, 2, 2
---
## 🟧 Column 8
1. ♩. + ♪ = 1.5 + 0.5 = 2
2. ♩ + ♪♪ = 1 + 1 = 2
3. ♪ + ♪ = 0.5 + 0.5 = 1
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. ♪ + ♩. = 0.5 + 1.5 = 2
6. ♪♪ + ♩ = 1 + 1 = 2
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♪♪ + ♪♪ = 1 + 1 = 2
9. ♪ + ♩. = 0.5 + 1.5 = 2
✔ Column 8:
2, 2, 1, 3, 2, 2, 2.5, 2, 2
---
## 🟫 Bonus Questions
Let’s solve these three long additions.
---
```
𝅝 + ♩ + ♫ + ♩ + 𝅝 + ♩ + ♩ + ♫ + ♩ + ♩ + 𝅝 =
```
Break it down:
- 𝅝 = 4
- ♩ = 1
- ♫ = 2
- Total:
= 4 + 1 + 2 + 1 + 4 + 1 + 1 + 2 + 1 + 1 + 4
= Let's add step-by-step:
Group:
- 𝅝 × 3 = 4×3 = 12
- ♫ × 2 = 2×2 = 4
- ♩ × 6 = 1×6 = 6
Total = 12 + 4 + 6 = 22
✔ Answer: 22
---
```
♩ + ♩ + ♫ + ♩ + ♪♪ + ♩ + ♩ + ♪♪ + ♩ + ♫ =
```
Values:
- ♩ = 1
- ♫ = 2
- ♪♪ = 1
Count:
- ♩ → appears 5 times → 5×1 = 5
- ♫ → 2 times → 2×2 = 4
- ♪♪ → 2 times → 2×1 = 2
Total = 5 + 4 + 2 = 11
✔ Answer: 11
---
```
♪ + ♩. + ♪♪ + ♩ + ♩. + ♩ + ♪ + ♩. + ♪♪ + ♩ =
```
Break down:
- ♪ = 0.5
- ♩. = 1.5
- ♪♪ = 1
- ♩ = 1
Count:
- ♪ → 2 times → 2×0.5 = 1
- ♩. → 3 times → 3×1.5 = 4.5
- ♪♪ → 2 times → 2×1 = 2
- ♩ → 3 times → 3×1 = 3
Total = 1 + 4.5 + 2 + 3 = 10.5
✔ Answer: 10.5
---
## ✔ Final Answers Summary
| Column | Answers |
|--------|---------|
| 1 | 2, 3, 2, 5, 4, 8, 5, 6, 3 |
| 2 | 2, 3, 5, 2, 6, 3, 6, 4, 3 |
| 3 | 2, 3, 2, 2, 2, 4, 3, 3, 3 |
| 4 | 2, 3, 2, 4, 3, 3, 2, 3, 2 |
| 5 | 4, 3.5, 8, 3, 5.5, 8, 2.5, 3, 5.5 |
| 6 | 4, 5.5, 3, 3, 4, 3.5, 2.5, 3.5, 3 |
| 7 | 1.5, 2, 2.5, 3, 1, 1.5, 2.5, 2, 2 |
| 8 | 2, 2, 1, 3, 2, 2, 2.5, 2, 2 |
1. 22
2. 11
3. 10.5
---
Let me know if you'd like this formatted as a printable answer sheet!
---
🔹 Understanding the Note Values
From the legend:
| Note | Value |
|------|-------|
| Crotchet (♩) | 1 |
| Minim (♫) | 2 |
| Semibreve (𝅝) | 4 |
| Quavers (♪♪) | ½ each → Two quavers = 1 |
| Dotted minim (♫.) | 3 |
| Dotted crotchet (♩.) | 1.5 (or 1 + ½) |
> ✔ Remember:
- A dot adds half the value of the note.
- So, a dotted minim (♫.) = 2 + 1 = 3
- A dotted crotchet (♩.) = 1 + 0.5 = 1.5
---
We’ll go through each column and calculate the sums.
---
## 🟦 Column 1
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♩ = 2 + 1 = 3
3. ♩ + ♩ = 1 + 1 = 2
4. 𝅝 + ♩ = 4 + 1 = 5
5. ♫ + ♫ = 2 + 2 = 4
6. 𝅝 + 𝅝 = 4 + 4 = 8
7. ♩ + 𝅝 = 1 + 4 = 5
8. 𝅝 + ♫ = 4 + 2 = 6
9. ♫ + ♩ = 2 + 1 = 3
✔ Column 1:
2, 3, 2, 5, 4, 8, 5, 6, 3
---
## 🟨 Column 2
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♩ = 2 + 1 = 3
3. 𝅝 + ♩ = 4 + 1 = 5
4. ♩ + ♩ = 1 + 1 = 2
5. ♫ + 𝅝 = 2 + 4 = 6
6. ♩ + ♫ = 1 + 2 = 3
7. 𝅝 + ♫ = 4 + 2 = 6
8. ♫ + ♫ = 2 + 2 = 4
9. ♩ + ♫ = 1 + 2 = 3
✔ Column 2:
2, 3, 5, 2, 6, 3, 6, 4, 3
---
## 🟩 Column 3
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♩ = 2 + 1 = 3
3. ♪♪ + ♩ = 1 + 1 = 2
4. ♩ + ♪♪ = 1 + 1 = 2
5. ♪♪ + ♪♪ = 1 + 1 = 2
6. ♫ + ♫ = 2 + 2 = 4
7. ♩ + ♫ = 1 + 2 = 3
8. ♪♪ + ♫ = 1 + 2 = 3
9. ♫ + ♩ = 2 + 1 = 3
✔ Column 3:
2, 3, 2, 2, 2, 4, 3, 3, 3
---
## 🟪 Column 4
1. ♩ + ♩ = 1 + 1 = 2
2. ♫ + ♪♪ = 2 + 1 = 3
3. ♪♪ + ♪♪ = 1 + 1 = 2
4. ♫ + ♫ = 2 + 2 = 4
5. ♩ + ♫ = 1 + 2 = 3
6. ♫ + ♩ = 2 + 1 = 3
7. ♩ + ♩ = 1 + 1 = 2
8. ♫ + ♩ = 2 + 1 = 3
9. ♪♪ + ♩ = 1 + 1 = 2
✔ Column 4:
2, 3, 2, 4, 3, 3, 2, 3, 2
---
## 🟫 Column 5
Now we have dotted notes.
1. ♫ + ♫ = 2 + 2 = 4
2. ♫ + ♩. = 2 + 1.5 = 3.5
3. 𝅝 + 𝅝 = 4 + 4 = 8
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. 𝅝 + ♩. = 4 + 1.5 = 5.5
6. 𝅝 + 𝅝 = 4 + 4 = 8
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♫ + ♩ = 2 + 1 = 3
9. ♩. + 𝅝 = 1.5 + 4 = 5.5
✔ Column 5:
4, 3.5, 8, 3, 5.5, 8, 2.5, 3, 5.5
---
## Column 6
1. ♫ + ♫ = 2 + 2 = 4
2. 𝅝 + ♩. = 4 + 1.5 = 5.5
3. ♩. + ♩. = 1.5 + 1.5 = 3
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. ♫ + ♫ = 2 + 2 = 4
6. ♫ + ♩. = 2 + 1.5 = 3.5
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♩. + ♫ = 1.5 + 2 = 3.5
9. ♩. + ♩. = 1.5 + 1.5 = 3
✔ Column 6:
4, 5.5, 3, 3, 4, 3.5, 2.5, 3.5, 3
---
## 🟥 Column 7
Now with quavers and dotted notes.
1. ♩ + ♪ = 1 + 0.5 = 1.5
2. ♩ + ♪♪ = 1 + 1 = 2
3. ♩. + ♩ = 1.5 + 1 = 2.5
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. ♪ + ♪ = 0.5 + 0.5 = 1
6. ♪♪ + ♪ = 1 + 0.5 = 1.5
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♩ + ♩ = 1 + 1 = 2
9. ♪♪ + ♪♪ = 1 + 1 = 2
✔ Column 7:
1.5, 2, 2.5, 3, 1, 1.5, 2.5, 2, 2
---
## 🟧 Column 8
1. ♩. + ♪ = 1.5 + 0.5 = 2
2. ♩ + ♪♪ = 1 + 1 = 2
3. ♪ + ♪ = 0.5 + 0.5 = 1
4. ♩. + ♩. = 1.5 + 1.5 = 3
5. ♪ + ♩. = 0.5 + 1.5 = 2
6. ♪♪ + ♩ = 1 + 1 = 2
7. ♩ + ♩. = 1 + 1.5 = 2.5
8. ♪♪ + ♪♪ = 1 + 1 = 2
9. ♪ + ♩. = 0.5 + 1.5 = 2
✔ Column 8:
2, 2, 1, 3, 2, 2, 2.5, 2, 2
---
## 🟫 Bonus Questions
Let’s solve these three long additions.
---
🔹 Bonus 1:
```
𝅝 + ♩ + ♫ + ♩ + 𝅝 + ♩ + ♩ + ♫ + ♩ + ♩ + 𝅝 =
```
Break it down:
- 𝅝 = 4
- ♩ = 1
- ♫ = 2
- Total:
= 4 + 1 + 2 + 1 + 4 + 1 + 1 + 2 + 1 + 1 + 4
= Let's add step-by-step:
Group:
- 𝅝 × 3 = 4×3 = 12
- ♫ × 2 = 2×2 = 4
- ♩ × 6 = 1×6 = 6
Total = 12 + 4 + 6 = 22
✔ Answer: 22
---
🔹 Bonus 2:
```
♩ + ♩ + ♫ + ♩ + ♪♪ + ♩ + ♩ + ♪♪ + ♩ + ♫ =
```
Values:
- ♩ = 1
- ♫ = 2
- ♪♪ = 1
Count:
- ♩ → appears 5 times → 5×1 = 5
- ♫ → 2 times → 2×2 = 4
- ♪♪ → 2 times → 2×1 = 2
Total = 5 + 4 + 2 = 11
✔ Answer: 11
---
🔹 Bonus 3:
```
♪ + ♩. + ♪♪ + ♩ + ♩. + ♩ + ♪ + ♩. + ♪♪ + ♩ =
```
Break down:
- ♪ = 0.5
- ♩. = 1.5
- ♪♪ = 1
- ♩ = 1
Count:
- ♪ → 2 times → 2×0.5 = 1
- ♩. → 3 times → 3×1.5 = 4.5
- ♪♪ → 2 times → 2×1 = 2
- ♩ → 3 times → 3×1 = 3
Total = 1 + 4.5 + 2 + 3 = 10.5
✔ Answer: 10.5
---
## ✔ Final Answers Summary
Columns:
| Column | Answers |
|--------|---------|
| 1 | 2, 3, 2, 5, 4, 8, 5, 6, 3 |
| 2 | 2, 3, 5, 2, 6, 3, 6, 4, 3 |
| 3 | 2, 3, 2, 2, 2, 4, 3, 3, 3 |
| 4 | 2, 3, 2, 4, 3, 3, 2, 3, 2 |
| 5 | 4, 3.5, 8, 3, 5.5, 8, 2.5, 3, 5.5 |
| 6 | 4, 5.5, 3, 3, 4, 3.5, 2.5, 3.5, 3 |
| 7 | 1.5, 2, 2.5, 3, 1, 1.5, 2.5, 2, 2 |
| 8 | 2, 2, 1, 3, 2, 2, 2.5, 2, 2 |
Bonus Questions:
1. 22
2. 11
3. 10.5
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of music math worksheet.