Grade 2 Math Number Practice worksheets - Skip Counting by 8 - Free Printable
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Step-by-step solution for: Grade 2 Math Number Practice worksheets - Skip Counting by 8
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Show Answer Key & Explanations
Step-by-step solution for: Grade 2 Math Number Practice worksheets - Skip Counting by 8
To solve this puzzle, we need to figure out the pattern of numbers.
Step 1: Find the "Skip Count" number
Look at the first two numbers in the top-left corner: 8 and 16.
If we subtract 8 from 16 ($16 - 8$), we get 8.
Let's check if this works for other numbers nearby. The next number should be $16 + 8 = 24$. Then $24 + 8 = 32$, and so on.
Let's check a different spot to be sure. Look at the numbers 288 and 280.
$288 - 280 = 8$.
So, the rule is: I hopped by 8.
Step 2: Fill in the missing numbers
We will count by 8s starting from 8. Since the arrows go down and then across, we can just list the multiples of 8 in order to fill every box.
Here is the sequence of numbers you need to write in the empty boxes, row by row:
Row 1:
* Start: 8
* Next: 16
* Missing: 24, 32, 40, 48, 56
* Given: 64
* Missing: 72
* End: 80
Row 2:
* Start after 80: 88, 96, 104, 112
* Given: 120
* Rest of row: 128, 136, 144, 152
Row 3:
* Start after 152: 160, 168
* Given: 184 (Wait, let's check: $168 + 8 = 176$. The box before 184 is empty. So it is 176, then 184).
* Given: 192
* Rest of row: 200, 208, 216, 224, 232, 240
Row 4:
* Start after 240: 248, 256, 264, 272
* Given: 288 (Check: $272 + 8 = 280$? No, the box before 288 is empty. Let's look closer. The box with 280 is next to 288. $288 - 8 = 280$. Correct.)
* So the sequence is: 248, 256, 264, 272, [280 is given], [288 is given]... wait, looking at the grid, 288 is column 5, 280 is column 6. This means the numbers are decreasing? No, usually these grids go left-to-right. Let's re-read the grid flow.
* Row 1 goes Left to Right (8 -> 80).
* Arrow points Down from 80 to start Row 2? No, the arrow is under 80 pointing to the box below it. That box would be 88.
* Row 2 goes Left to Right? Let's assume standard reading order (Left to Right, then drop down).
* Let's re-verify the "288, 280" part. In Row 4, Column 5 is 288. Column 6 is 280. This implies the counting might be going backwards or I misread the position.
* Actually, let's look at the arrows again. There is an arrow under 80 pointing down. There is an arrow under the first box of Row 3 pointing down.
* Usually, these charts snake or go line by line. Let's assume simple Line-by-Line (Left to Right).
* If Row 4 Col 5 is 288 and Col 6 is 280, that is counting *down* by 8. But the rest of the chart counts *up*.
* Let's look at Row 5: 336 (Col 2) ... 360 (Col 5) ... 400 (Col 10).
* If Col 5 is 360, Col 6 is 368, Col 7 is 376, Col 8 is 384, Col 9 is 392, Col 10 is 400. This fits counting UP.
* Let's re-examine Row 4: Col 5 is 288. Col 6 is 280.
* Is it possible the image has a typo or I am misinterpreting the columns?
* Let's check the previous number in Row 4. If we count up from Row 3 end (240), Row 4 starts with 248.
* Col 1: 248, Col 2: 256, Col 3: 264, Col 4: 272, Col 5: 280, Col 6: 288.
* Ah! In the image, 288 is in Column 5 and 280 is in Column 6? Let me look really closely at the alignment.
* Row 1: 8(1), 16(2), _(3), _(4), _(5), _(6), _(7), 64(8), _(9), 80(10).
* Check: $8 \times 8 = 64$. $8 \times 10 = 80$. Correct.
* Row 4: The number 288 is in Column 5. The number 280 is in Column 6.
* If we are counting by 8s forward: Col 5 should be smaller than Col 6.
* $8 \times 35 = 280$. $8 \times 36 = 288$.
* So 280 is the 35th multiple. 288 is the 36th multiple.
* In the grid, 288 is to the *left* of 280. This means the numbers are getting smaller as you go right? That contradicts the start of the chart.
* Correction: Look at the vertical alignment.
* Row 1 Col 5 is empty. Row 4 Col 5 is 288.
* Row 1 Col 6 is empty. Row 4 Col 6 is 280.
* Wait, look at Row 5. Col 2 is 336. Col 5 is 360.
* $336 / 8 = 42$. (This is the 42nd box). Box 42 is Row 5, Col 2?
* Row 1 has 10 boxes.
* Row 2 has 10 boxes.
* Row 3 has 10 boxes.
* Row 4 has 10 boxes.
* Total 40 boxes so far.
* Row 5 Col 1 is box 41. Row 5 Col 2 is box 42.
* $42 \times 8 = 336$. This matches perfectly.
* Now back to Row 4.
* Row 4 Col 5 is Box 35. ($30 + 5$). $35 \times 8 = 280$.
* Row 4 Col 6 is Box 36. $36 \times 8 = 288$.
* The image labels are swapped or I am misreading which number is in which box.
* Let's look at the image again very carefully.
* In the 4th row of numbers shown:
* There is a 288 and a 280 next to each other.
* Visually, 288 is in the 5th column slot. 280 is in the 6th column slot.
* This is mathematically impossible for a standard "count up by 8" chart unless the chart snakes (goes right, then left).
* Let's test the "Snake" theory.
* Row 1: Left to Right (1-10). Ends at 80.
* Row 2: Right to Left?
* If R2 goes Right to Left, Box 11 is under Box 10 (80). So Box 11 is 88.
* Box 20 (end of R2, far left) would be $20 \times 8 = 160$.
* Row 3: Left to Right?
* Box 21 (under Box 20) is 168.
* Box 30 (end of R3, far right) is 240.
* Row 4: Right to Left?
* Box 31 (under Box 30) is 248.
* Box 35 is in Col 6 (counting from right? No, physical columns).
* Let's stick to physical columns 1-10.
* If it snakes:
* R1 (L->R): Cols 1-10.
* R2 (R->L): Col 10 is Box 11. Col 1 is Box 20.
* R3 (L->R): Col 1 is Box 21. Col 10 is Box 30.
* R4 (R->L): Col 10 is Box 31. Col 1 is Box 40.
* Let's check the numbers in the image against this Snake Theory.
* Image Row 4, Col 5 has 288. Image Row 4, Col 6 has 280.
* In Snake Theory (R4 is R->L):
* Col 10 = Box 31 ($248$).
* Col 9 = Box 32 ($256$).
* Col 8 = Box 33 ($264$).
* Col 7 = Box 34 ($272$).
* Col 6 = Box 35 ($280$).
* Col 5 = Box 36 ($288$).
* This matches the image perfectly! 280 is in Col 6, 288 is in Col 5.
* Let's verify with another row.
* Image Row 5, Col 2 has 336. Col 5 has 360.
* Snake Theory: R5 is L->R.
* Col 1 = Box 41 ($328$).
* Col 2 = Box 42 ($336$). Matches.
* Col 5 = Box 45 ($360$). Matches.
* Image Row 6, Col 2 has 472. Col 8 has 424.
* Snake Theory: R6 is R->L.
* Col 10 = Box 51 ($408$).
* Col 8 = Box 53 ($424$). Matches.
* Col 2 = Box 59 ($472$). Matches.
* Image Row 7, Col 1 has 488. Col 6 has 528. Col 7 has 536.
* Snake Theory: R7 is L->R.
* Col 1 = Box 61 ($488$). Matches.
* Col 6 = Box 66 ($528$). Matches.
* Col 7 = Box 67 ($536$). Matches.
Conclusion: The chart snakes.
* Odd Rows (1, 3, 5, 7, 9): Go Left to Right.
* Even Rows (2, 4, 6, 8, 10): Go Right to Left.
However, filling in a snake chart is confusing for students. Often, these worksheets just want the numbers filled in sequentially into the boxes regardless of the visual "flow", OR they want you to follow the path. Given the prompt "Hop and fill-in", and the explicit numbers like 288/280 being reversed visually, the student must identify the value of each specific box based on its position in the sequence.
Let's provide the numbers for every empty box, identified by their Row and Column (1-10).
Calculation of all boxes (Value = Box Number $\times$ 8):
Row 1 (Left to Right, Boxes 1-10):
* Box 1: 8 (Given)
* Box 2: 16 (Given)
* Box 3: 24
* Box 4: 32
* Box 5: 40
* Box 6: 48
* Box 7: 56
* Box 8: 64 (Given)
* Box 9: 72
* Box 10: 80 (Given)
Row 2 (Right to Left, Boxes 11-20):
* *Note: In the grid, Box 11 is physically at Col 10. Box 20 is physically at Col 1.*
* Box 11 (Col 10): 88
* Box 12 (Col 9): 96
* Box 13 (Col 8): 104
* Box 14 (Col 7): 112
* Box 15 (Col 6): 120 (Given)
* Box 16 (Col 5): 128
* Box 17 (Col 4): 136
* Box 18 (Col 3): 144
* Box 19 (Col 2): 152
* Box 20 (Col 1): 160
Row 3 (Left to Right, Boxes 21-30):
* Box 21 (Col 1): 168
* Box 22 (Col 2): 176
* Box 23 (Col 3): 184 (Given)
* Box 24 (Col 4): 192 (Given)
* Box 25 (Col 5): 200
* Box 26 (Col 6): 208
* Box 27 (Col 7): 216
* Box 28 (Col 8): 224
* Box 29 (Col 9): 232
* Box 30 (Col 10): 240
Row 4 (Right to Left, Boxes 31-40):
* *Note: Box 31 is physically at Col 10. Box 40 is physically at Col 1.*
* Box 31 (Col 10): 248
* Box 32 (Col 9): 256
* Box 33 (Col 8): 264
* Box 34 (Col 7): 272
* Box 35 (Col 6): 280 (Given)
* Box 36 (Col 5): 288 (Given)
* Box 37 (Col 4): 296
* Box 38 (Col 3): 304
* Box 39 (Col 2): 312
* Box 40 (Col 1): 320
Row 5 (Left to Right, Boxes 41-50):
* Box 41 (Col 1): 328
* Box 42 (Col 2): 336 (Given)
* Box 43 (Col 3): 344
* Box 44 (Col 4): 352
* Box 45 (Col 5): 360 (Given)
* Box 46 (Col 6): 368
* Box 47 (Col 7): 376
* Box 48 (Col 8): 384
* Box 49 (Col 9): 392
* Box 50 (Col 10): 400 (Given)
Row 6 (Right to Left, Boxes 51-60):
* *Note: Box 51 is physically at Col 10. Box 60 is physically at Col 1.*
* Box 51 (Col 10): 408
* Box 52 (Col 9): 416
* Box 53 (Col 8): 424 (Given)
* Box 54 (Col 7): 432
* Box 55 (Col 6): 440
* Box 56 (Col 5): 448
* Box 57 (Col 4): 456
* Box 58 (Col 3): 464
* Box 59 (Col 2): 472 (Given)
* Box 60 (Col 1): 480
Row 7 (Left to Right, Boxes 61-70):
* Box 61 (Col 1): 488 (Given)
* Box 62 (Col 2): 496
* Box 63 (Col 3): 504
* Box 64 (Col 4): 512
* Box 65 (Col 5): 520
* Box 66 (Col 6): 528 (Given)
* Box 67 (Col 7): 536 (Given)
* Box 68 (Col 8): 544
* Box 69 (Col 9): 552
* Box 70 (Col 10): 560
Row 8 (Right to Left, Boxes 71-80):
* *Note: Box 71 is physically at Col 10. Box 80 is physically at Col 1.*
* Box 71 (Col 10): 568 (Given)
* Box 72 (Col 9): 576
* Box 73 (Col 8): 584
* Box 74 (Col 7): 592
* Box 75 (Col 6): 600
* Box 76 (Col 5): 608 (Given)
* Box 77 (Col 4): 616
* Box 78 (Col 3): 624
* Box 79 (Col 2): 632
* Box 80 (Col 1): 640
Row 9 (Left to Right, Boxes 81-90):
* Box 81 (Col 1): 648 (Given)
* Box 82 (Col 2): 656
* Box 83 (Col 3): 664
* Box 84 (Col 4): 672
* Box 85 (Col 5): 680
* Box 86 (Col 6): 688
* Box 87 (Col 7): 696
* Box 88 (Col 8): 704
* Box 89 (Col 9): 712
* Box 90 (Col 10): 720 (Given)
Row 10:
The grid ends at Row 9 in the visible numbers? No, there is a Row 10.
Wait, let's count the rows in the image.
1. 8...80
2. ...120...
3. ...184...
4. ...288...
5. ...336...
6. ...472...
7. 488...
8. ...608...
9. 648...720
There are only 9 rows of boxes drawn in the main grid area?
Let's recount the horizontal lines.
Top line.
Line under 8/16...
Line under ...120...
Line under ...184...
Line under ...288...
Line under ...336...
Line under ...472...
Line under 488...
Line under ...608...
Line under 648...
Bottom line.
That creates 9 rows.
Let's check the last number.
Box 90 is $90 \times 8 = 720$.
The bottom right number is 720.
So the grid is 9 rows high and 10 columns wide.
Final Answer Construction:
I will list the missing numbers for each row, going from left to right physically, so the student can just copy them into the boxes.
Row 1 (Left to Right): 24, 32, 40, 48, 56, 72
Row 2 (Left to Right Physical): 160, 152, 144, 136, 128, [120 is given], 112, 104, 96, 88
*(Note: Because Row 2 is "Right to Left" in value, the leftmost box is the highest number)*
Row 3 (Left to Right): 168, 176, [184], [192], 200, 208, 216, 224, 232, 240
Row 4 (Left to Right Physical): 320, 312, 304, 296, [288], [280], 272, 264, 256, 248
Row 5 (Left to Right): 328, [336], 344, 352, [360], 368, 376, 384, 392, [400]
Row 6 (Left to Right Physical): 480, [472], 464, 456, 448, 440, 432, [424], 416, 408
Row 7 (Left to Right): [488], 496, 504, 512, 520, [528], [536], 544, 552, 560
Row 8 (Left to Right Physical): 640, 632, 624, 616, [608], 600, 592, 584, 576, [568]
Row 9 (Left to Right): [648], 656, 664, 672, 680, 688, 696, 704, 712, [720]
Also, don't forget the circle: I hopped by 8.
Final Answer:
I hopped by 8
Here are the numbers to fill in the boxes, row by row (from left to right):
Row 1: 24, 32, 40, 48, 56, 72
Row 2: 160, 152, 144, 136, 128, 112, 104, 96, 88
Row 3: 168, 176, 200, 208, 216, 224, 232, 240
Row 4: 320, 312, 304, 296, 272, 264, 256, 248
Row 5: 328, 344, 352, 368, 376, 384, 392
Row 6: 480, 464, 456, 448, 440, 432, 416, 408
Row 7: 496, 504, 512, 520, 544, 552, 560
Row 8: 640, 632, 624, 616, 600, 592, 584, 576
Row 9: 656, 664, 672, 680, 688, 696, 704, 712
Step 1: Find the "Skip Count" number
Look at the first two numbers in the top-left corner: 8 and 16.
If we subtract 8 from 16 ($16 - 8$), we get 8.
Let's check if this works for other numbers nearby. The next number should be $16 + 8 = 24$. Then $24 + 8 = 32$, and so on.
Let's check a different spot to be sure. Look at the numbers 288 and 280.
$288 - 280 = 8$.
So, the rule is: I hopped by 8.
Step 2: Fill in the missing numbers
We will count by 8s starting from 8. Since the arrows go down and then across, we can just list the multiples of 8 in order to fill every box.
Here is the sequence of numbers you need to write in the empty boxes, row by row:
Row 1:
* Start: 8
* Next: 16
* Missing: 24, 32, 40, 48, 56
* Given: 64
* Missing: 72
* End: 80
Row 2:
* Start after 80: 88, 96, 104, 112
* Given: 120
* Rest of row: 128, 136, 144, 152
Row 3:
* Start after 152: 160, 168
* Given: 184 (Wait, let's check: $168 + 8 = 176$. The box before 184 is empty. So it is 176, then 184).
* Given: 192
* Rest of row: 200, 208, 216, 224, 232, 240
Row 4:
* Start after 240: 248, 256, 264, 272
* Given: 288 (Check: $272 + 8 = 280$? No, the box before 288 is empty. Let's look closer. The box with 280 is next to 288. $288 - 8 = 280$. Correct.)
* So the sequence is: 248, 256, 264, 272, [280 is given], [288 is given]... wait, looking at the grid, 288 is column 5, 280 is column 6. This means the numbers are decreasing? No, usually these grids go left-to-right. Let's re-read the grid flow.
* Row 1 goes Left to Right (8 -> 80).
* Arrow points Down from 80 to start Row 2? No, the arrow is under 80 pointing to the box below it. That box would be 88.
* Row 2 goes Left to Right? Let's assume standard reading order (Left to Right, then drop down).
* Let's re-verify the "288, 280" part. In Row 4, Column 5 is 288. Column 6 is 280. This implies the counting might be going backwards or I misread the position.
* Actually, let's look at the arrows again. There is an arrow under 80 pointing down. There is an arrow under the first box of Row 3 pointing down.
* Usually, these charts snake or go line by line. Let's assume simple Line-by-Line (Left to Right).
* If Row 4 Col 5 is 288 and Col 6 is 280, that is counting *down* by 8. But the rest of the chart counts *up*.
* Let's look at Row 5: 336 (Col 2) ... 360 (Col 5) ... 400 (Col 10).
* If Col 5 is 360, Col 6 is 368, Col 7 is 376, Col 8 is 384, Col 9 is 392, Col 10 is 400. This fits counting UP.
* Let's re-examine Row 4: Col 5 is 288. Col 6 is 280.
* Is it possible the image has a typo or I am misinterpreting the columns?
* Let's check the previous number in Row 4. If we count up from Row 3 end (240), Row 4 starts with 248.
* Col 1: 248, Col 2: 256, Col 3: 264, Col 4: 272, Col 5: 280, Col 6: 288.
* Ah! In the image, 288 is in Column 5 and 280 is in Column 6? Let me look really closely at the alignment.
* Row 1: 8(1), 16(2), _(3), _(4), _(5), _(6), _(7), 64(8), _(9), 80(10).
* Check: $8 \times 8 = 64$. $8 \times 10 = 80$. Correct.
* Row 4: The number 288 is in Column 5. The number 280 is in Column 6.
* If we are counting by 8s forward: Col 5 should be smaller than Col 6.
* $8 \times 35 = 280$. $8 \times 36 = 288$.
* So 280 is the 35th multiple. 288 is the 36th multiple.
* In the grid, 288 is to the *left* of 280. This means the numbers are getting smaller as you go right? That contradicts the start of the chart.
* Correction: Look at the vertical alignment.
* Row 1 Col 5 is empty. Row 4 Col 5 is 288.
* Row 1 Col 6 is empty. Row 4 Col 6 is 280.
* Wait, look at Row 5. Col 2 is 336. Col 5 is 360.
* $336 / 8 = 42$. (This is the 42nd box). Box 42 is Row 5, Col 2?
* Row 1 has 10 boxes.
* Row 2 has 10 boxes.
* Row 3 has 10 boxes.
* Row 4 has 10 boxes.
* Total 40 boxes so far.
* Row 5 Col 1 is box 41. Row 5 Col 2 is box 42.
* $42 \times 8 = 336$. This matches perfectly.
* Now back to Row 4.
* Row 4 Col 5 is Box 35. ($30 + 5$). $35 \times 8 = 280$.
* Row 4 Col 6 is Box 36. $36 \times 8 = 288$.
* The image labels are swapped or I am misreading which number is in which box.
* Let's look at the image again very carefully.
* In the 4th row of numbers shown:
* There is a 288 and a 280 next to each other.
* Visually, 288 is in the 5th column slot. 280 is in the 6th column slot.
* This is mathematically impossible for a standard "count up by 8" chart unless the chart snakes (goes right, then left).
* Let's test the "Snake" theory.
* Row 1: Left to Right (1-10). Ends at 80.
* Row 2: Right to Left?
* If R2 goes Right to Left, Box 11 is under Box 10 (80). So Box 11 is 88.
* Box 20 (end of R2, far left) would be $20 \times 8 = 160$.
* Row 3: Left to Right?
* Box 21 (under Box 20) is 168.
* Box 30 (end of R3, far right) is 240.
* Row 4: Right to Left?
* Box 31 (under Box 30) is 248.
* Box 35 is in Col 6 (counting from right? No, physical columns).
* Let's stick to physical columns 1-10.
* If it snakes:
* R1 (L->R): Cols 1-10.
* R2 (R->L): Col 10 is Box 11. Col 1 is Box 20.
* R3 (L->R): Col 1 is Box 21. Col 10 is Box 30.
* R4 (R->L): Col 10 is Box 31. Col 1 is Box 40.
* Let's check the numbers in the image against this Snake Theory.
* Image Row 4, Col 5 has 288. Image Row 4, Col 6 has 280.
* In Snake Theory (R4 is R->L):
* Col 10 = Box 31 ($248$).
* Col 9 = Box 32 ($256$).
* Col 8 = Box 33 ($264$).
* Col 7 = Box 34 ($272$).
* Col 6 = Box 35 ($280$).
* Col 5 = Box 36 ($288$).
* This matches the image perfectly! 280 is in Col 6, 288 is in Col 5.
* Let's verify with another row.
* Image Row 5, Col 2 has 336. Col 5 has 360.
* Snake Theory: R5 is L->R.
* Col 1 = Box 41 ($328$).
* Col 2 = Box 42 ($336$). Matches.
* Col 5 = Box 45 ($360$). Matches.
* Image Row 6, Col 2 has 472. Col 8 has 424.
* Snake Theory: R6 is R->L.
* Col 10 = Box 51 ($408$).
* Col 8 = Box 53 ($424$). Matches.
* Col 2 = Box 59 ($472$). Matches.
* Image Row 7, Col 1 has 488. Col 6 has 528. Col 7 has 536.
* Snake Theory: R7 is L->R.
* Col 1 = Box 61 ($488$). Matches.
* Col 6 = Box 66 ($528$). Matches.
* Col 7 = Box 67 ($536$). Matches.
Conclusion: The chart snakes.
* Odd Rows (1, 3, 5, 7, 9): Go Left to Right.
* Even Rows (2, 4, 6, 8, 10): Go Right to Left.
However, filling in a snake chart is confusing for students. Often, these worksheets just want the numbers filled in sequentially into the boxes regardless of the visual "flow", OR they want you to follow the path. Given the prompt "Hop and fill-in", and the explicit numbers like 288/280 being reversed visually, the student must identify the value of each specific box based on its position in the sequence.
Let's provide the numbers for every empty box, identified by their Row and Column (1-10).
Calculation of all boxes (Value = Box Number $\times$ 8):
Row 1 (Left to Right, Boxes 1-10):
* Box 1: 8 (Given)
* Box 2: 16 (Given)
* Box 3: 24
* Box 4: 32
* Box 5: 40
* Box 6: 48
* Box 7: 56
* Box 8: 64 (Given)
* Box 9: 72
* Box 10: 80 (Given)
Row 2 (Right to Left, Boxes 11-20):
* *Note: In the grid, Box 11 is physically at Col 10. Box 20 is physically at Col 1.*
* Box 11 (Col 10): 88
* Box 12 (Col 9): 96
* Box 13 (Col 8): 104
* Box 14 (Col 7): 112
* Box 15 (Col 6): 120 (Given)
* Box 16 (Col 5): 128
* Box 17 (Col 4): 136
* Box 18 (Col 3): 144
* Box 19 (Col 2): 152
* Box 20 (Col 1): 160
Row 3 (Left to Right, Boxes 21-30):
* Box 21 (Col 1): 168
* Box 22 (Col 2): 176
* Box 23 (Col 3): 184 (Given)
* Box 24 (Col 4): 192 (Given)
* Box 25 (Col 5): 200
* Box 26 (Col 6): 208
* Box 27 (Col 7): 216
* Box 28 (Col 8): 224
* Box 29 (Col 9): 232
* Box 30 (Col 10): 240
Row 4 (Right to Left, Boxes 31-40):
* *Note: Box 31 is physically at Col 10. Box 40 is physically at Col 1.*
* Box 31 (Col 10): 248
* Box 32 (Col 9): 256
* Box 33 (Col 8): 264
* Box 34 (Col 7): 272
* Box 35 (Col 6): 280 (Given)
* Box 36 (Col 5): 288 (Given)
* Box 37 (Col 4): 296
* Box 38 (Col 3): 304
* Box 39 (Col 2): 312
* Box 40 (Col 1): 320
Row 5 (Left to Right, Boxes 41-50):
* Box 41 (Col 1): 328
* Box 42 (Col 2): 336 (Given)
* Box 43 (Col 3): 344
* Box 44 (Col 4): 352
* Box 45 (Col 5): 360 (Given)
* Box 46 (Col 6): 368
* Box 47 (Col 7): 376
* Box 48 (Col 8): 384
* Box 49 (Col 9): 392
* Box 50 (Col 10): 400 (Given)
Row 6 (Right to Left, Boxes 51-60):
* *Note: Box 51 is physically at Col 10. Box 60 is physically at Col 1.*
* Box 51 (Col 10): 408
* Box 52 (Col 9): 416
* Box 53 (Col 8): 424 (Given)
* Box 54 (Col 7): 432
* Box 55 (Col 6): 440
* Box 56 (Col 5): 448
* Box 57 (Col 4): 456
* Box 58 (Col 3): 464
* Box 59 (Col 2): 472 (Given)
* Box 60 (Col 1): 480
Row 7 (Left to Right, Boxes 61-70):
* Box 61 (Col 1): 488 (Given)
* Box 62 (Col 2): 496
* Box 63 (Col 3): 504
* Box 64 (Col 4): 512
* Box 65 (Col 5): 520
* Box 66 (Col 6): 528 (Given)
* Box 67 (Col 7): 536 (Given)
* Box 68 (Col 8): 544
* Box 69 (Col 9): 552
* Box 70 (Col 10): 560
Row 8 (Right to Left, Boxes 71-80):
* *Note: Box 71 is physically at Col 10. Box 80 is physically at Col 1.*
* Box 71 (Col 10): 568 (Given)
* Box 72 (Col 9): 576
* Box 73 (Col 8): 584
* Box 74 (Col 7): 592
* Box 75 (Col 6): 600
* Box 76 (Col 5): 608 (Given)
* Box 77 (Col 4): 616
* Box 78 (Col 3): 624
* Box 79 (Col 2): 632
* Box 80 (Col 1): 640
Row 9 (Left to Right, Boxes 81-90):
* Box 81 (Col 1): 648 (Given)
* Box 82 (Col 2): 656
* Box 83 (Col 3): 664
* Box 84 (Col 4): 672
* Box 85 (Col 5): 680
* Box 86 (Col 6): 688
* Box 87 (Col 7): 696
* Box 88 (Col 8): 704
* Box 89 (Col 9): 712
* Box 90 (Col 10): 720 (Given)
Row 10:
The grid ends at Row 9 in the visible numbers? No, there is a Row 10.
Wait, let's count the rows in the image.
1. 8...80
2. ...120...
3. ...184...
4. ...288...
5. ...336...
6. ...472...
7. 488...
8. ...608...
9. 648...720
There are only 9 rows of boxes drawn in the main grid area?
Let's recount the horizontal lines.
Top line.
Line under 8/16...
Line under ...120...
Line under ...184...
Line under ...288...
Line under ...336...
Line under ...472...
Line under 488...
Line under ...608...
Line under 648...
Bottom line.
That creates 9 rows.
Let's check the last number.
Box 90 is $90 \times 8 = 720$.
The bottom right number is 720.
So the grid is 9 rows high and 10 columns wide.
Final Answer Construction:
I will list the missing numbers for each row, going from left to right physically, so the student can just copy them into the boxes.
Row 1 (Left to Right): 24, 32, 40, 48, 56, 72
Row 2 (Left to Right Physical): 160, 152, 144, 136, 128, [120 is given], 112, 104, 96, 88
*(Note: Because Row 2 is "Right to Left" in value, the leftmost box is the highest number)*
Row 3 (Left to Right): 168, 176, [184], [192], 200, 208, 216, 224, 232, 240
Row 4 (Left to Right Physical): 320, 312, 304, 296, [288], [280], 272, 264, 256, 248
Row 5 (Left to Right): 328, [336], 344, 352, [360], 368, 376, 384, 392, [400]
Row 6 (Left to Right Physical): 480, [472], 464, 456, 448, 440, 432, [424], 416, 408
Row 7 (Left to Right): [488], 496, 504, 512, 520, [528], [536], 544, 552, 560
Row 8 (Left to Right Physical): 640, 632, 624, 616, [608], 600, 592, 584, 576, [568]
Row 9 (Left to Right): [648], 656, 664, 672, 680, 688, 696, 704, 712, [720]
Also, don't forget the circle: I hopped by 8.
Final Answer:
I hopped by 8
Here are the numbers to fill in the boxes, row by row (from left to right):
Row 1: 24, 32, 40, 48, 56, 72
Row 2: 160, 152, 144, 136, 128, 112, 104, 96, 88
Row 3: 168, 176, 200, 208, 216, 224, 232, 240
Row 4: 320, 312, 304, 296, 272, 264, 256, 248
Row 5: 328, 344, 352, 368, 376, 384, 392
Row 6: 480, 464, 456, 448, 440, 432, 416, 408
Row 7: 496, 504, 512, 520, 544, 552, 560
Row 8: 640, 632, 624, 616, 600, 592, 584, 576
Row 9: 656, 664, 672, 680, 688, 696, 704, 712
Parent Tip: Review the logic above to help your child master the concept of skip number worksheet.