Year 4 Maths worksheet on lattice multiplication with examples and exercises.

Absolutely! Let’s solve all 9 multiplication problems using the lattice method, as shown in the example. I’ll walk you through each one step by step, just like the example does.

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🧩 Lattice Multiplication Recap (from the example):

1. Draw a grid with rows and columns based on the number of digits.
2. Place the first number across the top, second number down the side.
3. Multiply each digit pair — write the tens digit in the top-left triangle, ones digit in bottom-right.
4. Add diagonally from right to left, carrying over if needed.
5. Read the answer from top-left to bottom-right.

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## ✔ Problem 1: 12 × 85

Grid: 2x2 (since both numbers have 2 digits)

```
1 2
+---+---+
8 | 0/8| 1/6|
+---+---+
5 | 0/5| 1/0|
+---+---+
```

Now add diagonals from right to left:

- Diagonal 1 (far right): 0 → 0
- Diagonal 2: 6 + 5 + 1 = 12 → write 2, carry 1
- Diagonal 3: 8 + 0 + 1 (carry) = 9 → 9
- Diagonal 4 (far left): 0 → 0

Read left to right: 1020

✔ Answer: 1020

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## ✔ Problem 2: 73 × 21

```
7 3
+---+---+
2 | 1/4| 0/6|
+---+---+
1 | 0/7| 0/3|
+---+---+
```

Add diagonals:

- Diag 1 (right): 3 → 3
- Diag 2: 6 + 7 = 13 → write 3, carry 1
- Diag 3: 4 + 0 + 1 (carry) = 5 → 5
- Diag 4: 1 → 1

Read: 1533

✔ Answer: 1533

---

## ✔ Problem 3: 21 × 76

```
2 1
+---+---+
7 | 1/4| 0/7|
+---+---+
6 | 1/2| 0/6|
+---+---+
```

Diagonals:

- Diag 1: 6 → 6
- Diag 2: 7 + 2 = 9 → 9
- Diag 3: 4 + 0 = 4 → 4
- Diag 4: 1 → 1

Read: 1596

✔ Answer: 1596

---

## ✔ Problem 4: 51 × 78

```
5 1
+---+---+
7 | 3/5| 0/7|
+---+---+
8 | 4/0| 0/8|
+---+---+
```

Diagonals:

- Diag 1: 8 → 8
- Diag 2: 7 + 0 = 7 → 7
- Diag 3: 5 + 0 + 4 = 9 → 9
- Diag 4: 3 → 3

Read: 3978

✔ Answer: 3978

---

## ✔ Problem 5: 97 × 14

```
9 7
+---+---+
1 | 0/9| 0/7|
+---+---+
4 | 3/6| 2/8|
+---+---+
```

Diagonals:

- Diag 1: 8 → 8
- Diag 2: 7 + 6 = 13 → write 3, carry 1
- Diag 3: 9 + 2 + 1 = 12 → write 2, carry 1
- Diag 4: 0 + 3 + 1 = 4 → 4

Read: 1358

✔ Answer: 1358

---

## ✔ Problem 6: 36 × 93

```
3 6
+---+---+
9 | 2/7| 5/4|
+---+---+
3 | 0/9| 1/8|
+---+---+
```

Diagonals:

- Diag 1: 8 → 8
- Diag 2: 4 + 9 = 13 → write 3, carry 1
- Diag 3: 7 + 5 + 1 = 13 → write 3, carry 1
- Diag 4: 2 + 0 + 1 = 3 → 3

Read: 3348

✔ Answer: 3348

---

## ✔ Problem 7: 44 × 19

```
4 4
+---+---+
1 | 0/4| 0/4|
+---+---+
9 | 3/6| 3/6|
+---+---+
```

Diagonals:

- Diag 1: 6 → 6
- Diag 2: 4 + 6 = 10 → write 0, carry 1
- Diag 3: 4 + 3 + 1 = 8 → 8
- Diag 4: 3 → 3

Read: 836

✔ Answer: 836

---

## ✔ Problem 8: 68 × 13

```
6 8
+---+---+
1 | 0/6| 0/8|
+---+---+
3 | 1/8| 2/4|
+---+---+
```

Diagonals:

- Diag 1: 4 → 4
- Diag 2: 8 + 8 = 16 → write 6, carry 1
- Diag 3: 6 + 2 + 1 = 9 → 9
- Diag 4: 1 → 1

Read: 884

✔ Answer: 884

---

## ✔ Problem 9: 83 × 77

```
8 3
+---+---+
7 | 5/6| 2/1|
+---+---+
7 | 5/6| 2/1|
+---+---+
```

Diagonals:

- Diag 1: 1 → 1
- Diag 2: 1 + 6 = 7 → 7
- Diag 3: 6 + 2 + 6 = 14 → write 4, carry 1
- Diag 4: 5 + 5 + 1 = 11 → write 1, carry 1
- Diag 5: 1 → 1

Read: 6391

✔ Answer: 6391

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## 🎯 Final Answers:

1. 12 × 85 = 1020
2. 73 × 21 = 1533
3. 21 × 76 = 1596
4. 51 × 78 = 3978
5. 97 × 14 = 1358
6. 36 × 93 = 3348
7. 44 × 19 = 836
8. 68 × 13 = 884
9. 83 × 77 = 6391

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You can now fill these into your worksheet! The lattice method is great for visual learners — it breaks multiplication into small, manageable steps. Keep practicing — you’ve got this! 💪📚