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Step-by-step solution for: Pin page
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Show Answer Key & Explanations
Step-by-step solution for: Pin page
Let’s solve this step by step.
This worksheet is a multiplication table from 1×1 up to 12×12. Each row shows one number (from 1 to 12) multiplied by numbers 1 through 12.
We don’t need to “solve” it like a puzzle — we just need to fill in the answers for each multiplication problem.
Since there are 144 problems (12 rows × 12 columns), I’ll go row by row and calculate each product carefully.
---
Row 1: Multiply 1 by 1 to 12
1 × 1 = 1
1 × 2 = 2
1 × 3 = 3
1 × 4 = 4
1 × 5 = 5
1 × 6 = 6
1 × 7 = 7
1 × 8 = 8
1 × 9 = 9
1 × 10 = 10
1 × 11 = 11
1 × 12 = 12
→ All easy! Multiplying by 1 gives you the same number.
---
Row 2: Multiply 2 by 1 to 12
2 × 1 = 2
2 × 2 = 4
2 × 3 = 6
2 × 4 = 8
2 × 5 = 10
2 × 6 = 12
2 × 7 = 14
2 × 8 = 16
2 × 9 = 18
2 × 10 = 20
2 × 11 = 22
2 × 12 = 24
→ These are even numbers, counting by 2s.
---
Row 3: Multiply 3 by 1 to 12
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30
3 × 11 = 33
3 × 12 = 36
→ Counting by 3s.
---
Row 4: Multiply 4 by 1 to 12
4 × 1 = 4
4 × 2 = 8
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20
4 × 6 = 24
4 × 7 = 28
4 × 8 = 32
4 × 9 = 36
4 × 10 = 40
4 × 11 = 44
4 × 12 = 48
→ Counting by 4s.
---
Row 5: Multiply 5 by 1 to 12
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
5 × 4 = 20
5 × 5 = 25
5 × 6 = 30
5 × 7 = 35
5 × 8 = 40
5 × 9 = 45
5 × 10 = 50
5 × 11 = 55
5 × 12 = 60
→ Ends in 0 or 5. Easy pattern!
---
Row 6: Multiply 6 by 1 to 12
6 × 1 = 6
6 × 2 = 12
6 × 3 = 18
6 × 4 = 24
6 × 5 = 30
6 × 6 = 36
6 × 7 = 42
6 × 8 = 48
6 × 9 = 54
6 × 10 = 60
6 × 11 = 66
6 × 12 = 72
→ Double the 3 times table? Or count by 6s.
---
Row 7: Multiply 7 by 1 to 12
7 × 1 = 7
7 × 2 = 14
7 × 3 = 21
7 × 4 = 28
7 × 5 = 35
7 × 6 = 42
7 × 7 = 49
7 × 8 = 56
7 × 9 = 63
7 × 10 = 70
7 × 11 = 77
7 × 12 = 84
→ A bit trickier, but still follow the pattern.
---
Row 8: Multiply 8 by 1 to 12
8 × 1 = 8
8 × 2 = 16
8 × 3 = 24
8 × 4 = 32
8 × 5 = 40
8 × 6 = 48
8 × 7 = 56
8 × 8 = 64
8 × 9 = 72
8 × 10 = 80
8 × 11 = 88
8 × 12 = 96
→ Count by 8s. Notice 8×8=64, 8×9=72, etc.
---
Row 9: Multiply 9 by 1 to 12
9 × 1 = 9
9 × 2 = 18
9 × 3 = 27
9 × 4 = 36
9 × 5 = 45
9 × 6 = 54
9 × 7 = 63
9 × 8 = 72
9 × 9 = 81
9 × 10 = 90
9 × 11 = 99
9 × 12 = 108
→ Fun fact: digits add up to 9 until 9×10. Also, 9×n = 10×n - n.
---
Row 10: Multiply 10 by 1 to 12
10 × 1 = 10
10 × 2 = 20
10 × 3 = 30
10 × 4 = 40
10 × 5 = 50
10 × 6 = 60
10 × 7 = 70
10 × 8 = 80
10 × 9 = 90
10 × 10 = 100
10 × 11 = 110
10 × 12 = 120
→ Just add a zero to the number you’re multiplying by 10.
---
Row 11: Multiply 11 by 1 to 12
11 × 1 = 11
11 × 2 = 22
11 × 3 = 33
11 × 4 = 44
11 × 5 = 55
11 × 6 = 66
11 × 7 = 77
11 × 8 = 88
11 × 9 = 99
11 × 10 = 110
11 × 11 = 121
11 × 12 = 132
→ For 1–9, it’s just repeating the digit. Then 11×10=110, 11×11=121, 11×12=132.
---
Row 12: Multiply 12 by 1 to 12
12 × 1 = 12
12 × 2 = 24
12 × 3 = 36
12 × 4 = 48
12 × 5 = 60
12 × 6 = 72
12 × 7 = 84
12 × 8 = 96
12 × 9 = 108
12 × 10 = 120
12 × 11 = 132
12 × 12 = 144
→ You can think of 12×n as (10×n) + (2×n). Example: 12×7 = 70 + 14 = 84.
---
✔ All calculations checked. No errors found.
Final Answer:
Here is the completed multiplication table with all answers filled in:
```
1×1=1 2×1=2 3×1=3 4×1=4 5×1=5 6×1=6
1×2=2 2×2=4 3×2=6 4×2=8 5×2=10 6×2=12
1×3=3 2×3=6 3×3=9 4×3=12 5×3=15 6×3=18
1×4=4 2×4=8 3×4=12 4×4=16 5×4=20 6×4=24
1×5=5 2×5=10 3×5=15 4×5=20 5×5=25 6×5=30
1×6=6 2×6=12 3×6=18 4×6=24 5×6=30 6×6=36
1×7=7 2×7=14 3×7=21 4×7=28 5×7=35 6×7=42
1×8=8 2×8=16 3×8=24 4×8=32 5×8=40 6×8=48
1×9=9 2×9=18 3×9=27 4×9=36 5×9=45 6×9=54
1×10=10 2×10=20 3×10=30 4×10=40 5×10=50 6×10=60
1×11=11 2×11=22 3×11=33 4×11=44 5×11=55 6×11=66
1×12=12 2×12=24 3×12=36 4×12=48 5×12=60 6×12=72
7×1=7 8×1=8 9×1=9 10×1=10 11×1=11 12×1=12
7×2=14 8×2=16 9×2=18 10×2=20 11×2=22 12×2=24
7×3=21 8×3=24 9×3=27 10×3=30 11×3=33 12×3=36
7×4=28 8×4=32 9×4=36 10×4=40 11×4=44 12×4=48
7×5=35 8×5=40 9×5=45 10×5=50 11×5=55 12×5=60
7×6=42 8×6=48 9×6=54 10×6=60 11×6=66 12×6=72
7×7=49 8×7=56 9×7=63 10×7=70 11×7=77 12×7=84
7×8=56 8×8=64 9×8=72 10×8=80 11×8=88 12×8=96
7×9=63 8×9=72 9×9=81 10×9=90 11×9=99 12×9=108
7×10=70 8×10=80 9×10=90 10×10=100 11×10=110 12×10=120
7×11=77 8×11=88 9×11=99 10×11=110 11×11=121 12×11=132
7×12=84 8×12=96 9×12=108 10×12=120 11×12=132 12×12=144
```
You can copy this into your worksheet or use it to check your own answers. Great job practicing your multiplication!
This worksheet is a multiplication table from 1×1 up to 12×12. Each row shows one number (from 1 to 12) multiplied by numbers 1 through 12.
We don’t need to “solve” it like a puzzle — we just need to fill in the answers for each multiplication problem.
Since there are 144 problems (12 rows × 12 columns), I’ll go row by row and calculate each product carefully.
---
Row 1: Multiply 1 by 1 to 12
1 × 1 = 1
1 × 2 = 2
1 × 3 = 3
1 × 4 = 4
1 × 5 = 5
1 × 6 = 6
1 × 7 = 7
1 × 8 = 8
1 × 9 = 9
1 × 10 = 10
1 × 11 = 11
1 × 12 = 12
→ All easy! Multiplying by 1 gives you the same number.
---
Row 2: Multiply 2 by 1 to 12
2 × 1 = 2
2 × 2 = 4
2 × 3 = 6
2 × 4 = 8
2 × 5 = 10
2 × 6 = 12
2 × 7 = 14
2 × 8 = 16
2 × 9 = 18
2 × 10 = 20
2 × 11 = 22
2 × 12 = 24
→ These are even numbers, counting by 2s.
---
Row 3: Multiply 3 by 1 to 12
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30
3 × 11 = 33
3 × 12 = 36
→ Counting by 3s.
---
Row 4: Multiply 4 by 1 to 12
4 × 1 = 4
4 × 2 = 8
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20
4 × 6 = 24
4 × 7 = 28
4 × 8 = 32
4 × 9 = 36
4 × 10 = 40
4 × 11 = 44
4 × 12 = 48
→ Counting by 4s.
---
Row 5: Multiply 5 by 1 to 12
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
5 × 4 = 20
5 × 5 = 25
5 × 6 = 30
5 × 7 = 35
5 × 8 = 40
5 × 9 = 45
5 × 10 = 50
5 × 11 = 55
5 × 12 = 60
→ Ends in 0 or 5. Easy pattern!
---
Row 6: Multiply 6 by 1 to 12
6 × 1 = 6
6 × 2 = 12
6 × 3 = 18
6 × 4 = 24
6 × 5 = 30
6 × 6 = 36
6 × 7 = 42
6 × 8 = 48
6 × 9 = 54
6 × 10 = 60
6 × 11 = 66
6 × 12 = 72
→ Double the 3 times table? Or count by 6s.
---
Row 7: Multiply 7 by 1 to 12
7 × 1 = 7
7 × 2 = 14
7 × 3 = 21
7 × 4 = 28
7 × 5 = 35
7 × 6 = 42
7 × 7 = 49
7 × 8 = 56
7 × 9 = 63
7 × 10 = 70
7 × 11 = 77
7 × 12 = 84
→ A bit trickier, but still follow the pattern.
---
Row 8: Multiply 8 by 1 to 12
8 × 1 = 8
8 × 2 = 16
8 × 3 = 24
8 × 4 = 32
8 × 5 = 40
8 × 6 = 48
8 × 7 = 56
8 × 8 = 64
8 × 9 = 72
8 × 10 = 80
8 × 11 = 88
8 × 12 = 96
→ Count by 8s. Notice 8×8=64, 8×9=72, etc.
---
Row 9: Multiply 9 by 1 to 12
9 × 1 = 9
9 × 2 = 18
9 × 3 = 27
9 × 4 = 36
9 × 5 = 45
9 × 6 = 54
9 × 7 = 63
9 × 8 = 72
9 × 9 = 81
9 × 10 = 90
9 × 11 = 99
9 × 12 = 108
→ Fun fact: digits add up to 9 until 9×10. Also, 9×n = 10×n - n.
---
Row 10: Multiply 10 by 1 to 12
10 × 1 = 10
10 × 2 = 20
10 × 3 = 30
10 × 4 = 40
10 × 5 = 50
10 × 6 = 60
10 × 7 = 70
10 × 8 = 80
10 × 9 = 90
10 × 10 = 100
10 × 11 = 110
10 × 12 = 120
→ Just add a zero to the number you’re multiplying by 10.
---
Row 11: Multiply 11 by 1 to 12
11 × 1 = 11
11 × 2 = 22
11 × 3 = 33
11 × 4 = 44
11 × 5 = 55
11 × 6 = 66
11 × 7 = 77
11 × 8 = 88
11 × 9 = 99
11 × 10 = 110
11 × 11 = 121
11 × 12 = 132
→ For 1–9, it’s just repeating the digit. Then 11×10=110, 11×11=121, 11×12=132.
---
Row 12: Multiply 12 by 1 to 12
12 × 1 = 12
12 × 2 = 24
12 × 3 = 36
12 × 4 = 48
12 × 5 = 60
12 × 6 = 72
12 × 7 = 84
12 × 8 = 96
12 × 9 = 108
12 × 10 = 120
12 × 11 = 132
12 × 12 = 144
→ You can think of 12×n as (10×n) + (2×n). Example: 12×7 = 70 + 14 = 84.
---
✔ All calculations checked. No errors found.
Final Answer:
Here is the completed multiplication table with all answers filled in:
```
1×1=1 2×1=2 3×1=3 4×1=4 5×1=5 6×1=6
1×2=2 2×2=4 3×2=6 4×2=8 5×2=10 6×2=12
1×3=3 2×3=6 3×3=9 4×3=12 5×3=15 6×3=18
1×4=4 2×4=8 3×4=12 4×4=16 5×4=20 6×4=24
1×5=5 2×5=10 3×5=15 4×5=20 5×5=25 6×5=30
1×6=6 2×6=12 3×6=18 4×6=24 5×6=30 6×6=36
1×7=7 2×7=14 3×7=21 4×7=28 5×7=35 6×7=42
1×8=8 2×8=16 3×8=24 4×8=32 5×8=40 6×8=48
1×9=9 2×9=18 3×9=27 4×9=36 5×9=45 6×9=54
1×10=10 2×10=20 3×10=30 4×10=40 5×10=50 6×10=60
1×11=11 2×11=22 3×11=33 4×11=44 5×11=55 6×11=66
1×12=12 2×12=24 3×12=36 4×12=48 5×12=60 6×12=72
7×1=7 8×1=8 9×1=9 10×1=10 11×1=11 12×1=12
7×2=14 8×2=16 9×2=18 10×2=20 11×2=22 12×2=24
7×3=21 8×3=24 9×3=27 10×3=30 11×3=33 12×3=36
7×4=28 8×4=32 9×4=36 10×4=40 11×4=44 12×4=48
7×5=35 8×5=40 9×5=45 10×5=50 11×5=55 12×5=60
7×6=42 8×6=48 9×6=54 10×6=60 11×6=66 12×6=72
7×7=49 8×7=56 9×7=63 10×7=70 11×7=77 12×7=84
7×8=56 8×8=64 9×8=72 10×8=80 11×8=88 12×8=96
7×9=63 8×9=72 9×9=81 10×9=90 11×9=99 12×9=108
7×10=70 8×10=80 9×10=90 10×10=100 11×10=110 12×10=120
7×11=77 8×11=88 9×11=99 10×11=110 11×11=121 12×11=132
7×12=84 8×12=96 9×12=108 10×12=120 11×12=132 12×12=144
```
You can copy this into your worksheet or use it to check your own answers. Great job practicing your multiplication!
Parent Tip: Review the logic above to help your child master the concept of printable multiplication chart without answers.
