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How does the Kumon maths programme develop school children in Key ... - Free Printable

How does the Kumon maths programme develop school children in Key ...

Educational worksheet: How does the Kumon maths programme develop school children in Key .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: How does the Kumon maths programme develop school children in Key ...
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Let's solve each of the multiplication problems on this Kumon worksheet step by step. The task is to multiply a two-digit number by a one-digit number.

---

(1)


43 × 2

Break it down:
- 3 × 2 = 6
- 40 × 2 = 80
- Add: 80 + 6 = 86

✔ Answer: 86 (already filled in)

---

(2)


34 × 2

- 4 × 2 = 8
- 30 × 2 = 60
- Add: 60 + 8 = 68

✔ Answer: 68

So, fill in the box:
```
34
× 2
----
68
```

---

(3)


31 × 2

- 1 × 2 = 2
- 30 × 2 = 60
- Add: 60 + 2 = 62

✔ Answer: 62

Fill in the blank:
```
31
× 2
----
62
```

---

(4)


41 × 2

- 1 × 2 = 2
- 40 × 2 = 80
- Add: 80 + 2 = 82

✔ Answer: 82

```
41
× 2
----
82
```

---

(5)


13 × 2

- 3 × 2 = 6
- 10 × 2 = 20
- Add: 20 + 6 = 26

✔ Answer: 26

```
13
× 2
----
26
```

---

(6)


21 × 2

- 1 × 2 = 2
- 20 × 2 = 40
- Add: 40 + 2 = 42

✔ Answer: 42

```
21
× 2
----
42
```

---

(7)


32 × 2

- 2 × 2 = 4
- 30 × 2 = 60
- Add: 60 + 4 = 64

✔ Answer: 64

```
32
× 2
----
64
```

---

(8)


42 × 2

- 2 × 2 = 4
- 40 × 2 = 80
- Add: 80 + 4 = 84

✔ Answer: 84

```
42
× 2
----
84
```

---

✔ Final Answers:



| Problem | Answer |
|--------|--------|
| (1) | 86 |
| (2) | 68 |
| (3) | 62 |
| (4) | 82 |
| (5) | 26 |
| (6) | 42 |
| (7) | 64 |
| (8) | 84 |

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🔍 Explanation:


Each problem involves multiplying a two-digit number by 2. You can use the distributive property:
> (Tens digit × 10 + Units digit) × 2 = (Tens digit × 2) × 10 + (Units digit × 2)

For example:
- 34 × 2 = (30 + 4) × 2 = 30×2 + 4×2 = 60 + 8 = 68

This method helps avoid errors and reinforces understanding.

Also, note the "Note" section at the bottom showing that:
> 43 + 43 = 86
> 43 × 2 = 86

This illustrates that multiplying by 2 is the same as adding the number to itself, which is a helpful concept for young learners.

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Parent Tip: Review the logic above to help your child master the concept of kumon maths worksheet.
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