Musical Maths worksheet for learning note value addition.

Let's solve this "Musical Maths" worksheet step by step.

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🔹 Understanding the Note Values

From the legend:

| Note | Value |
|------|-------|
| 🎵 Crotchet (quarter note) | = 1 |
| 🎵 Minim (half note) | = 2 |
| 🎵 Semibreve (whole note) | = 4 |
| 🎵 Quavers (eighth notes) | = 1/2 each (so two quavers = 1) |
| 🎵 Dotted minim | = 3 (minim + half of minim = 2 + 1 = 3) |
| 🎵 Dotted crotchet | = 1.5 (crotchet + half of crotchet = 1 + 0.5 = 1.5) |

Also:
- Two quavers together = 1 (since each is 1/2)
- A pair of quavers (like `♫` or `♩♩`) = 1

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Now, let’s go through each column and compute the sums.

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## ✔ Column 1

```
• + • = 1 + 1 = 2
𝅘𝅥 + 𝅘𝅥 = 2 + 2 = 4
• + • = 1 + 1 = 2
𝅘𝅥𝅾 + • = 4 + 1 = 5
𝅘𝅥 + 𝅘𝅥 = 2 + 2 = 4
𝅘𝅥𝅾 + 𝅘𝅥𝅾 = 4 + 4 = 8
𝅘𝅥𝅾 + 𝅘𝅥 = 4 + 2 = 6
• + 𝅘𝅥𝅾 = 1 + 4 = 5
𝅘𝅥𝅾 + 𝅘𝅥 = 4 + 2 = 6
𝅘𝅥 + • = 2 + 1 = 3
```

✔ Column 1 Answers:
2, 4, 2, 5, 4, 8, 6, 5, 6, 3

---

## ✔ Column 2

```
• + • = 1 + 1 = 2
𝅘𝅥 + • = 2 + 1 = 3
𝅘𝅥𝅾 + • = 4 + 1 = 5
• + • = 1 + 1 = 2
𝅘𝅥 + 𝅘𝅥𝅾 = 2 + 4 = 6
• + • = 1 + 1 = 2
𝅘𝅥𝅾 + 𝅘𝅥 = 4 + 2 = 6
𝅘𝅥 + • = 2 + 1 = 3
𝅘𝅥𝅾 + 𝅘𝅥𝅾 = 4 + 4 = 8
• + 𝅘𝅥 = 1 + 2 = 3
```

✔ Column 2 Answers:
2, 3, 5, 2, 6, 2, 6, 3, 8, 3

---

## ✔ Column 3

```
• + • = 1 + 1 = 2
𝅘𝅥 + • = 2 + 1 = 3
𝅘𝅥𝅾 + • = 4 + 1 = 5
• + • = 1 + 1 = 2
• + ♫ = 1 + 1 = 2 (two quavers = 1)
𝅘𝅥 + ♫ = 2 + 1 = 3
𝅘𝅥 + 𝅘𝅥 = 2 + 2 = 4
𝅘𝅥𝅾 + 𝅘𝅥 = 4 + 2 = 6
• + 𝅘𝅥 = 1 + 2 = 3
𝅘𝅥 + • = 2 + 1 = 3
```

✔ Column 3 Answers:
2, 3, 5, 2, 2, 3, 4, 6, 3, 3

---

## ✔ Column 4

```
• + • = 1 + 1 = 2
𝅘𝅥 + ♫ = 2 + 1 = 3
♫ + ♫ = 1 + 1 = 2
𝅘𝅥 + 𝅘𝅥 = 2 + 2 = 4
♫ + 𝅘𝅥 = 1 + 2 = 3
𝅘𝅥 + • = 2 + 1 = 3
• + • = 1 + 1 = 2
𝅘𝅥 + • = 2 + 1 = 3
♫ + • = 1 + 1 = 2
𝅘𝅥 + • = 2 + 1 = 3
```

✔ Column 4 Answers:
2, 3, 2, 4, 3, 3, 2, 3, 2, 3

---

## ✔ Column 5 (Bottom Left)

```
𝅘𝅥 + 𝅘𝅥 = 2 + 2 = 4
𝅘𝅥 + 𝅘𝅥. = 2 + 1.5 = 3.5
𝅘𝅥𝅾 + 𝅘𝅥𝅾 = 4 + 4 = 8
𝅘𝅥. + 𝅘𝅥. = 3 + 3 = 6
𝅘𝅥𝅾 + 𝅘𝅥. = 4 + 3 = 7
𝅘𝅥𝅾 + 𝅘𝅥𝅾 = 4 + 4 = 8
𝅘𝅥 + 𝅘𝅥. = 2 + 3 = 5
𝅘𝅥 + 𝅘𝅥𝅾 = 2 + 4 = 6
𝅘𝅥. + 𝅘𝅥𝅾 = 3 + 4 = 7
𝅘𝅥. + 𝅘𝅥𝅾 = 3 + 4 = 7
```

✔ Column 5 Answers:
4, 3.5, 8, 6, 7, 8, 5, 6, 7, 7

---

## ✔ Column 6 (Middle Bottom)

```
𝅘𝅥 + 𝅘𝅥 = 2 + 2 = 4
𝅘𝅥𝅾 + 𝅘𝅥. = 4 + 3 = 7
𝅘𝅥𝅾 + 𝅘𝅥𝅾 = 4 + 4 = 8
𝅘𝅥. + 𝅘𝅥. = 3 + 3 = 6
𝅘𝅥 + 𝅘𝅥𝅾 = 2 + 4 = 6
𝅘𝅥 + 𝅘𝅥. = 2 + 3 = 5
𝅘𝅥𝅾 + 𝅘𝅥𝅾 = 4 + 4 = 8
𝅘𝅥. + 𝅘𝅥𝅾 = 3 + 4 = 7
𝅘𝅥. + 𝅘𝅥𝅾 = 3 + 4 = 7
𝅘𝅥𝅾 + 𝅘𝅥 = 4 + 2 = 6
```

✔ Column 6 Answers:
4, 7, 8, 6, 6, 5, 8, 7, 7, 6

---

## ✔ Column 7 (Right Middle)

```
• + ♪ = 1 + 0.5 = 1.5
• + ♫ = 1 + 1 = 2
•. + ♪ = 1.5 + 0.5 = 2
♪ + ♪ = 0.5 + 0.5 = 1
♫ + ♪ = 1 + 0.5 = 1.5
♫ + ♫ = 1 + 1 = 2
• + ♪ = 1 + 0.5 = 1.5
• + ♪ = 1 + 0.5 = 1.5
♫ + ♫ = 1 + 1 = 2
• + ♪ = 1 + 0.5 = 1.5
```

✔ Column 7 Answers:
1.5, 2, 2, 1, 1.5, 2, 1.5, 1.5, 2, 1.5

---

## ✔ Column 8 (Bottom Right)

```
•. + ♪ = 1.5 + 0.5 = 2
• + ♫ = 1 + 1 = 2
♪ + ♪ = 0.5 + 0.5 = 1
•. + •. = 1.5 + 1.5 = 3
♪ + •. = 0.5 + 1.5 = 2
♫ + •. = 1 + 1.5 = 2.5
• + •. = 1 + 1.5 = 2.5
• + ♪ = 1 + 0.5 = 1.5
♫ + ♫ = 1 + 1 = 2
• + ♪ = 1 + 0.5 = 1.5
```

✔ Column 8 Answers:
2, 2, 1, 3, 2, 2.5, 2.5, 1.5, 2, 1.5

---

## ✔ Bonus Questions

Bonus 1:

```
𝅘𝅥𝅾 + • + 𝅘𝅥 + • + 𝅘𝅥𝅾 + • + 𝅘𝅥 + • + 𝅘𝅥 + 𝅘𝅥𝅾 =
```

Break it down:
- 𝅘𝅥𝅾 = 4
- • = 1
- 𝅘𝅥 = 2
- So: 4 + 1 + 2 + 1 + 4 + 1 + 2 + 1 + 2 + 4 =

Add step-by-step:
4+1=5 → +2=7 → +1=8 → +4=12 → +1=13 → +2=15 → +1=16 → +2=18 → +4= 22

✔ Bonus 1 = 22

---

Bonus 2:

```
• + • + 𝅘𝅥 + • + ♫ + • + • + ♫ + • + 𝅘𝅥 =
```

Values:
- • = 1 (x4)
- 𝅘𝅥 = 2 (x2)
- ♫ = 1 (x2)

So:
1+1+2+1+1+1+1+1+1+2 = ?

Count:
- 1s: 8 → 8×1 = 8
- 2s: 2 → 2×2 = 4
Total = 8 + 4 = 12

✔ Bonus 2 = 12

---

Bonus 3:

```
♪ + •. + ♫ + • + •. + • + ♪ + •. + ♫ + • =
```

Breakdown:
- ♪ = 0.5
- •. = 1.5
- ♫ = 1
- • = 1

List:
0.5 + 1.5 + 1 + 1 + 1.5 + 1 + 0.5 + 1.5 + 1 + 1

Group:
- 0.5 + 0.5 = 1
- 1.5 + 1.5 + 1.5 = 4.5
- 1 + 1 + 1 + 1 + 1 = 5
- Total = 1 + 4.5 + 5 = 10.5

✔ Bonus 3 = 10.5

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## ✔ Final Answer Summary

All Columns (Top to Bottom):

Column 1:
2, 4, 2, 5, 4, 8, 6, 5, 6, 3

Column 2:
2, 3, 5, 2, 6, 2, 6, 3, 8, 3

Column 3:
2, 3, 5, 2, 2, 3, 4, 6, 3, 3

Column 4:
2, 3, 2, 4, 3, 3, 2, 3, 2, 3

Column 5:
4, 3.5, 8, 6, 7, 8, 5, 6, 7, 7

Column 6:
4, 7, 8, 6, 6, 5, 8, 7, 7, 6

Column 7:
1.5, 2, 2, 1, 1.5, 2, 1.5, 1.5, 2, 1.5

Column 8:
2, 2, 1, 3, 2, 2.5, 2.5, 1.5, 2, 1.5

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Bonus Answers:

1. 22
2. 12
3. 10.5

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