Crazy Boxes - 4, 6, 7, 8 Times Tables | Teach Starter - Free Printable

To solve this "Crazy Boxes" puzzle, we need to fill in the grid by multiplying the numbers on the left (vertical) by the numbers on the top (horizontal). Then, we color the squares based on the answer ranges provided.

Here is the step-by-step solution:

Step 1: Understand the Grid

The grid has vertical numbers on the left side and horizontal numbers across the top.
* Vertical Numbers: 4, 4, 11, 6, 6, 12, 7, 7, 12, 8
* Horizontal Numbers: 1, 2, 3, 5, 4, 6, 7, 8, 9, 10, 10, 9, 8, 7, 6, 4, 5, 3, 2, 1

*Note: Some rows have black boxes already filled in. These act as obstacles or just part of the pattern. We only calculate for the empty white squares.*

Step 2: Calculate Each Row

We will go row by row, multiplying the vertical number by each horizontal number above it.

Row 1: Vertical Number = 4
* $4 \times 1 = 4$
* $4 \times 2 = 8$
* $4 \times 3 = 12$
* $4 \times 5 = 20$
* $4 \times 4 = 16$
* $4 \times 6 = 24$
* $4 \times 7 = 28$
* $4 \times 8 = 32$
* $4 \times 9 = 36$
* $4 \times 10 = 40$
* $4 \times 10 = 40$
* $4 \times 9 = 36$
* $4 \times 8 = 32$
* $4 \times 7 = 28$
* $4 \times 6 = 24$
* $4 \times 4 = 16$
* $4 \times 5 = 20$
* $4 \times 3 = 12$
* $4 \times 2 = 8$
* $4 \times 1 = 4$

Row 2: Vertical Number = 4
*(This row is identical to Row 1)*
* Answers: 4, 8, 12, 20, 16, 24, 28, 32, 36, 40, 40, 36, 32, 28, 24, 16, 20, 12, 8, 4

Row 3: Vertical Number = 11
*(Note: Columns 1-4, 11-14, and 17-20 are blocked/black. We only calculate the middle section.)*
* $11 \times 6 = 66$
* $11 \times 7 = 77$
* $11 \times 8 = 88$
* $11 \times 9 = 99$
* $11 \times 10 = 110$ *(Wait, the key only goes up to 100. Usually, anything over 100 is ignored or colored differently, but looking at the key, there is no box for >100. Let's re-read the key. Ah, the key stops at "91 to 100". Let's check the other rows. If a number is over 100, it might not be colored or it's an error in my assumption. Let's look at Row 6 (Vertical 12). $12 \times 10 = 120$. This suggests that perhaps numbers over 100 are simply left blank or the puzzle implies a max value. However, looking closely at the image, the black blocks are pre-filled. The white blocks are what we fill. Let's assume standard multiplication. If the result is >100, it doesn't fit the key. Let's double check the horizontal numbers. Yes, they go up to 10. $11 \times 10 = 110$. $12 \times 10 = 120$. It is likely that any product over 100 is just left uncolored or considered "out of range" for this specific coloring activity. Or, more likely, I should just provide the products.)*

Let's list the products for the open cells in Row 3:
* Col 6 ($11 \times 6$): 66
* Col 7 ($11 \times 7$): 77
* Col 8 ($11 \times 8$): 88
* Col 9 ($11 \times 9$): 99
* Col 10 ($11 \times 10$): 110 (Over 100)
* Col 11 ($11 \times 10$): 110 (Over 100)
* Col 12 ($11 \times 9$): 99
* Col 13 ($11 \times 8$): 88
* Col 14 ($11 \times 7$): 77
* Col 15 ($11 \times 6$): 66

Row 4: Vertical Number = 6
* $6 \times 1 = 6$
* $6 \times 2 = 12$
* $6 \times 3 = 18$
* $6 \times 5 = 30$
* $6 \times 4 = 24$
* $6 \times 6 = 36$
* $6 \times 7 = 42$
* $6 \times 8 = 48$
* $6 \times 9 = 54$
* $6 \times 10 = 60$
* $6 \times 10 = 60$
* $6 \times 9 = 54$
* $6 \times 8 = 48$
* $6 \times 7 = 42$
* $6 \times 6 = 36$
* $6 \times 4 = 24$
* $6 \times 5 = 30$
* $6 \times 3 = 18$
* $6 \times 2 = 12$
* $6 \times 1 = 6$

Row 5: Vertical Number = 6
*(Identical to Row 4)*
* Answers: 6, 12, 18, 30, 24, 36, 42, 48, 54, 60, 60, 54, 48, 42, 36, 24, 30, 18, 12, 6

Row 6: Vertical Number = 12
*(Blocked columns same as Row 3: 1-4, 11-14, 17-20 are black. Wait, looking at the image, Row 6 has black blocks at cols 1-4, 11-14? No, let's look closer.
Row 3 (Vert 11): Black at 1-4, 11-14? No, the black blocks are at indices 1,2,3,4 and 11,12,13,14? Let's count grid squares.
Top row headers: 1, 2, 3, 5, 4, 6, 7, 8, 9, 10 | 10, 9, 8, 7, 6, 4, 5, 3, 2, 1
Indices:
1: x1
2: x2
3: x3
4: x5
5: x4
6: x6
7: x7
8: x8
9: x9
10: x10
11: x10
12: x9
13: x8
14: x7
15: x6
16: x4
17: x5
18: x3
19: x2
20: x1

Row 3 (Vert 11) has black boxes at indices 1, 2, 3, 4 and 11, 12, 13, 14 and 17, 18, 19, 20?
Actually, looking at the image:
Row 3 (Vert 11): White squares are at indices 5,6,7,8,9,10 and 15,16.
Let's re-examine the black blocks visually.
Row 3: Blocks at start (4 wide), then a gap, then blocks in middle (4 wide), then a gap, then blocks at end (4 wide)?
No, let's look at the white spaces specifically.
Row 3 White Spaces:
- Index 5 ($11 \times 4 = 44$)
- Index 6 ($11 \times 6 = 66$)
- Index 7 ($11 \times 7 = 77$)
- Index 8 ($11 \times 8 = 88$)
- Index 9 ($11 \times 9 = 99$)
- Index 10 ($11 \times 10 = 110$)
- Index 15 ($11 \times 6 = 66$)
- Index 16 ($11 \times 4 = 44$)
Wait, looking at the image again, Row 3 has black blocks at indices 1-4, 11-14, and 17-20?
Let's trace Row 3 carefully.
Left side: 4 black squares.
Middle: 6 white squares? No, looks like 6 white squares then 4 black squares?
Let's count the total width. 20 columns.
Row 3:
Cols 1-4: Black
Cols 5-10: White (6 squares)
Cols 11-14: Black (4 squares)
Cols 15-16: White (2 squares)
Cols 17-20: Black (4 squares)
Total: $4+6+4+2+4 = 20$. This matches.

So for Row 3 (Vert 11), the calculations for WHITE squares are:
- Col 5 ($11 \times 4$): 44
- Col 6 ($11 \times 6$): 66
- Col 7 ($11 \times 7$): 77
- Col 8 ($11 \times 8$): 88
- Col 9 ($11 \times 9$): 99
- Col 10 ($11 \times 10$): 110 (>100)
- Col 15 ($11 \times 6$): 66
- Col 16 ($11 \times 4$): 44

Row 7: Vertical Number = 7
*(All squares appear white in this row based on the image pattern? No, let's look at Row 7. It looks completely empty/white.)*
Calculations for all 20 columns:
- $7 \times 1 = 7$
- $7 \times 2 = 14$
- $7 \times 3 = 21$
- $7 \times 5 = 35$
- $7 \times 4 = 28$
- $7 \times 6 = 42$
- $7 \times 7 = 49$
- $7 \times 8 = 56$
- $7 \times 9 = 63$
- $7 \times 10 = 70$
- $7 \times 10 = 70$
- $7 \times 9 = 63$
- $7 \times 8 = 56$
- $7 \times 7 = 49$
- $7 \times 6 = 42$
- $7 \times 4 = 28$
- $7 \times 5 = 35$
- $7 \times 3 = 21$
- $7 \times 2 = 14$
- $7 \times 1 = 7$

Row 8: Vertical Number = 7
*(Identical to Row 7)*
Answers: 7, 14, 21, 35, 28, 42, 49, 56, 63, 70, 70, 63, 56, 49, 42, 28, 35, 21, 14, 7

Row 9: Vertical Number = 12
*(Pattern matches Row 3 and 6? Let's check Row 9 in the image.
Row 9 has black blocks at indices 1-4, 11-14, 17-20. Same as Row 3 and 6.)*
Calculations for WHITE squares:
- Col 5 ($12 \times 4$): 48
- Col 6 ($12 \times 6$): 72
- Col 7 ($12 \times 7$): 84
- Col 8 ($12 \times 8$): 96
- Col 9 ($12 \times 9$): 108 (>100)
- Col 10 ($12 \times 10$): 120 (>100)
- Col 15 ($12 \times 6$): 72
- Col 16 ($12 \times 4$): 48

Row 10: Vertical Number = 8
*(This row appears completely white/empty in the image.)*
Calculations for all 20 columns:
- $8 \times 1 = 8$
- $8 \times 2 = 16$
- $8 \times 3 = 24$
- $8 \times 5 = 40$
- $8 \times 4 = 32$
- $8 \times 6 = 48$
- $8 \times 7 = 56$
- $8 \times 8 = 64$
- $8 \times 9 = 72$
- $8 \times 10 = 80$
- $8 \times 10 = 80$
- $8 \times 9 = 72$
- $8 \times 8 = 64$
- $8 \times 7 = 56$
- $8 \times 6 = 48$
- $8 \times 4 = 32$
- $8 \times 5 = 40$
- $8 \times 3 = 24$
- $8 \times 2 = 16$
- $8 \times 1 = 8$

Step 3: Assign Colors Based on Key

The key provides ranges. You need to choose a color for each range. Since I cannot physically color, I will list which numbers fall into which range so you can color them accordingly.

Color Key Ranges:
* 1 to 10: Color A
* 11 to 20: Color B
* 21 to 30: Color C
* 31 to 40: Color D
* 41 to 50: Color E
* 51 to 60: Color F
* 61 to 70: Color G
* 71 to 80: Color H
* 81 to 90: Color I
* 91 to 100: Color J
* *(Numbers over 100 are not in the key, so leave them blank or white)*

Final Answer: Completed Grid Values

Here are the numbers you should write in the white boxes for each row. Use your chosen colors to fill them in based on the ranges above.

Row 1 (x4):
4, 8, 12, 20, 16, 24, 28, 32, 36, 40, 40, 36, 32, 28, 24, 16, 20, 12, 8, 4

Row 2 (x4):
4, 8, 12, 20, 16, 24, 28, 32, 36, 40, 40, 36, 32, 28, 24, 16, 20, 12, 8, 4

Row 3 (x11) - *Only fill white boxes*:
(Cols 1-4 Black), 44, 66, 77, 88, 99, (Col 10 is 110, leave blank), (Cols 11-14 Black), 66, 48 (Wait, Col 16 is $11 \times 4 = 44$), (Cols 17-20 Black).
*Correction for Row 3 White Boxes:*
Col 5: 44
Col 6: 66
Col 7: 77
Col 8: 88
Col 9: 99
Col 10: 110 (Leave Blank)
Col 15: 66
Col 16: 44

Row 4 (x6):
6, 12, 18, 30, 24, 36, 42, 48, 54, 60, 60, 54, 48, 42, 36, 24, 30, 18, 12, 6

Row 5 (x6):
6, 12, 18, 30, 24, 36, 42, 48, 54, 60, 60, 54, 48, 42, 36, 24, 30, 18, 12, 6

Row 6 (x12) - *Only fill white boxes*:
Col 5: 48
Col 6: 72
Col 7: 84
Col 8: 96
Col 9: 108 (Leave Blank)
Col 10: 120 (Leave Blank)
Col 15: 72
Col 16: 48

Row 7 (x7):
7, 14, 21, 35, 28, 42, 49, 56, 63, 70, 70, 63, 56, 49, 42, 28, 35, 21, 14, 7

Row 8 (x7):
7, 14, 21, 35, 28, 42, 49, 56, 63, 70, 70, 63, 56, 49, 42, 28, 35, 21, 14, 7

Row 9 (x12) - *Only fill white boxes*:
Col 5: 48
Col 6: 72
Col 7: 84
Col 8: 96
Col 9: 108 (Leave Blank)
Col 10: 120 (Leave Blank)
Col 15: 72
Col 16: 48

Row 10 (x8):
8, 16, 24, 40, 32, 48, 56, 64, 72, 80, 80, 72, 64, 56, 48, 32, 40, 24, 16, 8