This worksheet provides 30 varied multiplication problems to help students master the 9 times table.

Let's solve each of the multiplication problems using the 9 times table. We’ll fill in the missing numbers and then convert some of them into division facts at the end.

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✔ Solutions to the Multiplication Problems

We'll go through each one step by step:

#### Left Column (1–15):

1) 9 × ___ = 27 → 27 ÷ 9 = 3 → 3
2) 4 × 9 = ___ → 4 × 9 = 36
3) ___ × 9 = 90 → 90 ÷ 9 = 10 → 10
4) ___ × 9 = 18 → 18 ÷ 9 = 2 → 2
5) 9 × ___ = 45 → 45 ÷ 9 = 5 → 5
6) 1 × 9 = ___ → 1 × 9 = 9
7) 9 × 6 = ___ → 9 × 6 = 54
8) ___ × 9 = 63 → 63 ÷ 9 = 7 → 7
9) 9 × 9 = ___ → 9 × 9 = 81
10) 0 × 9 = ___ → 0 × 9 = 0
11) 5 × 9 = ___ → 5 × 9 = 45
12) 9 × ___ = 36 → 36 ÷ 9 = 4 → 4
13) ___ × 9 = 72 → 72 ÷ 9 = 8 → 8
14) 9 × ___ = 81 → 81 ÷ 9 = 9 → 9
15) ___ × 9 = 27 → 27 ÷ 9 = 3 → 3

#### Right Column (16–30):

16) 9 × 7 = ___ → 9 × 7 = 63
17) ___ × 9 = 81 → 81 ÷ 9 = 9 → 9
18) 9 × 4 = ___ → 9 × 4 = 36
19) ___ × 9 = 0 → 0 ÷ 9 = 0 → 0
20) 9 × 6 = ___ → 9 × 6 = 54
21) 9 × 10 = ___ → 9 × 10 = 90
22) ___ × 9 = 9 → 9 ÷ 9 = 1 → 1
23) 9 × ___ = 72 → 72 ÷ 9 = 8 → 8
24) ___ × 9 = 45 → 45 ÷ 9 = 5 → 5
25) 9 × ___ = 63 → 63 ÷ 9 = 7 → 7
26) ___ × 9 = 36 → 36 ÷ 9 = 4 → 4
27) 9 × 9 = ___ → 9 × 9 = 81
28) 8 × 9 = ___ → 8 × 9 = 72
29) ___ × 9 = 90 → 90 ÷ 9 = 10 → 10
30) 9 × ___ = 81 → 81 ÷ 9 = 9 → 9

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 3 |
| 2) | 36 |
| 3) | 10 |
| 4) | 2 |
| 5) | 5 |
| 6) | 9 |
| 7) | 54 |
| 8) | 7 |
| 9) | 81 |
| 10) | 0 |
| 11) | 45 |
| 12) | 4 |
| 13) | 8 |
| 14) | 9 |
| 15) | 3 |
| 16) | 63 |
| 17) | 9 |
| 18) | 36 |
| 19) | 0 |
| 20) | 54 |
| 21) | 90 |
| 22) | 1 |
| 23) | 8 |
| 24) | 5 |
| 25) | 7 |
| 26) | 4 |
| 27) | 81 |
| 28) | 72 |
| 29) | 10 |
| 30) | 9 |

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🔁 Rewriting as Division Facts

Now, let’s rewrite some of these multiplication facts as division facts. Remember:
If $ a \times b = c $, then $ c \div a = b $ or $ c \div b = a $

Let’s pick a few examples:

1. $ 9 \times 3 = 27 $ → $ 27 \div 9 = 3 $ or $ 27 \div 3 = 9 $
2. $ 4 \times 9 = 36 $ → $ 36 \div 4 = 9 $ or $ 36 \div 9 = 4 $
3. $ 10 \times 9 = 90 $ → $ 90 \div 10 = 9 $ or $ 90 \div 9 = 10 $
4. $ 9 \times 9 = 81 $ → $ 81 \div 9 = 9 $
5. $ 8 \times 9 = 72 $ → $ 72 \div 8 = 9 $ or $ 72 \div 9 = 8 $
6. $ 0 \times 9 = 0 $ → $ 0 \div 9 = 0 $ (Note: Cannot divide by zero)
7. $ 9 \times 6 = 54 $ → $ 54 \div 9 = 6 $ or $ 54 \div 6 = 9 $

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✔ Summary

- All problems are solved using knowledge of the 9 times table.
- Missing factors were found using division (e.g., $ \text{product} \div 9 $).
- The 9 times table has a helpful pattern:
- The digits of the products add up to 9 (for single-digit multipliers):
e.g., $ 9×2=18 $, $ 1+8=9 $; $ 9×3=27 $, $ 2+7=9 $
- Also, the tens digit increases from 0 to 9, and the units digit decreases from 9 to 0.

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✔ Final Answer Key (Completed Sheet):

```
1) 9 x 3 = 27 16) 9 x 7 = 63
2) 4 x 9 = 36 17) 9 x 9 = 81
3) 10 x 9 = 90 18) 9 x 4 = 36
4) 2 x 9 = 18 19) 0 x 9 = 0
5) 9 x 5 = 45 20) 9 x 6 = 54
6) 1 x 9 = 9 21) 9 x 10 = 90
7) 9 x 6 = 54 22) 1 x 9 = 9
8) 7 x 9 = 63 23) 9 x 8 = 72
9) 9 x 9 = 81 24) 5 x 9 = 45
10) 0 x 9 = 0 25) 9 x 7 = 63
11) 5 x 9 = 45 26) 4 x 9 = 36
12) 9 x 4 = 36 27) 9 x 9 = 81
13) 8 x 9 = 72 28) 8 x 9 = 72
14) 9 x 9 = 81 29) 10 x 9 = 90
15) 3 x 9 = 27 30) 9 x 9 = 81
```

✔ Division Examples:
- 27 ÷ 9 = 3
- 36 ÷ 4 = 9
- 90 ÷ 9 = 10
- 81 ÷ 9 = 9
- 72 ÷ 8 = 9

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