Let's solve each multiplication problem on the worksheet step by step. All problems involve multiplying numbers by 7, which is a great opportunity to practice the
multiplication table of 7.
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1a. $ 10 \times 7 = 70 $
- Think: 10 groups of 7 → $ 7 + 7 + \dots $ (10 times) = 70
1b. $ 5 \times 7 = 35 $
- 5 groups of 7: $ 7 + 7 + 7 + 7 + 7 = 35 $
2a. $ 7 \times 5 = 35 $
- Same as above: multiplication is commutative → $ 7 \times 5 = 5 \times 7 = 35 $
2b. $ 9 \times 7 = 63 $
- You can think: $ 10 \times 7 = 70 $, minus one 7 → $ 70 - 7 = 63 $
3a. $ 7 \times 9 = 63 $
- Again, same as 2b → $ 63 $
3b. $ 7 \times 8 = 56 $
- $ 7 \times 10 = 70 $, subtract $ 2 \times 7 = 14 $ → $ 70 - 14 = 56 $
4a. $ 7 \times 6 = 42 $
- $ 7 \times 5 = 35 $, add 7 → $ 35 + 7 = 42 $
4b. $ 7 \times 2 = 14 $
- $ 7 + 7 = 14 $
5a. $ 7 \times 12 = 84 $
- $ 7 \times 10 = 70 $, $ 7 \times 2 = 14 $, so $ 70 + 14 = 84 $
5b. $ 12 \times 7 = 84 $
- Same as 5a → $ 84 $ (commutative property)
6a. $ 7 \times 4 = 28 $
- $ 7 + 7 + 7 + 7 = 28 $
6b. $ 2 \times 7 = 14 $
- $ 7 + 7 = 14 $
7a. $ 11 \times 7 = 77 $
- $ 10 \times 7 = 70 $, plus $ 1 \times 7 = 7 $ → $ 70 + 7 = 77 $
7b. $ 7 \times 7 = 49 $
- This is a square number: $ 7^2 = 49 $
8a. $ 7 \times 11 = 77 $
- Same as 7a → $ 77 $
8b. $ 8 \times 7 = 56 $
- Same as 3b → $ 56 $
9a. $ 7 \times 3 = 21 $
- $ 7 + 7 + 7 = 21 $
9b. $ 3 \times 7 = 21 $
- Same as 9a → $ 21 $
10a. $ 1 \times 7 = 7 $
- Any number times 1 is itself → $ 7 $
10b. $ 4 \times 7 = 28 $
- $ 7 + 7 + 7 + 7 = 28 $
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1a | 70 |
| 1b | 35 |
| 2a | 35 |
| 2b | 63 |
| 3a | 63 |
| 3b | 56 |
| 4a | 42 |
| 4b | 14 |
| 5a | 84 |
| 5b | 84 |
| 6a | 28 |
| 6b | 14 |
| 7a | 77 |
| 7b | 49 |
| 8a | 77 |
| 8b | 56 |
| 9a | 21 |
| 9b | 21 |
| 10a | 7 |
| 10b | 28 |
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📝 Explanation:
This worksheet focuses on mastering multiplication facts involving the number
7. The problems are designed to reinforce:
-
Commutative property: $ a \times b = b \times a $
-
Patterns in multiplication (e.g., $ 7 \times 10 = 70 $, $ 7 \times 11 = 77 $)
-
Mental math strategies, such as breaking down larger problems (like $ 12 \times 7 = (10+2)\times7 = 70+14=84 $)
This kind of practice helps build fluency and confidence in multiplication, especially for the often-challenging 7s table.
Let me know if you'd like this formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of math test sheets.
