Division Worksheets - Basic - Free Printable
Educational worksheet: Division Worksheets - Basic. Download and print for classroom or home learning activities.
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Step-by-step solution for: Division Worksheets - Basic
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Show Answer Key & Explanations
Step-by-step solution for: Division Worksheets - Basic
To solve this "Cootie Catcher" puzzle, we need to check if the division problems written on the flaps match the numbers shown in the center stars. The theme is Division by Three.
Here is the step-by-step verification for each section:
1. Top Left (Orange):
* Problem: $15 \div 3$
* Calculation: $3 \times 5 = 15$, so $15 \div 3 = 5$.
* Center Number: 5
* Result: Correct.
2. Top Middle-Left (Star with 5):
* This matches the orange flap above it.
3. Top Middle-Right (Star with 12):
* Problem above it: $36 \div 3$
* Calculation: $3 \times 10 = 30$ and $3 \times 2 = 6$, so $30 + 6 = 36$. Therefore, $36 \div 3 = 12$.
* Center Number: 12
* Result: Correct.
4. Top Right (Red):
* Problem: $33 \div 3$
* Calculation: $3 \times 11 = 33$, so $33 \div 3 = 11$.
* Center Number: 11
* Result: Correct.
5. Middle Right (Star with 11):
* This matches the red flap to its right.
6. Bottom Right (Blue):
* Problem: $30 \div 3$
* Calculation: $3 \times 10 = 30$, so $30 \div 3 = 10$.
* Center Number: 10
* Result: Correct.
7. Bottom Middle-Right (Star with 10):
* This matches the blue flap below it.
8. Bottom Middle-Left (Star with 6):
* Problem below it: $27 \div 3$
* Wait, let's look closer at the layout. The star with 6 is next to the problem $27 \div 3$.
* Calculation: $3 \times 9 = 27$, so $27 \div 3 = 9$.
* The center number shown is 6.
* Let's re-read the diagram carefully. The star with 6 is actually paired with the problem $18 \div 3$? No, looking at the lines:
* The star labeled 6 is in the bottom-middle-left triangle. The text associated with that triangular flap area is usually adjacent.
* Let's trace the triangles from the center out.
* Triangle with Star 6: The text outside it says "$27 \div 3$" and "nine". Wait, the text "nine" is near the star labeled 9? No, there is no star labeled 9.
* Let's look at the star labeled 9 (bottom left). The text next to it is "$24 \div 3$" and "eight".
* Let's look at the star labeled 8 (bottom left). The text next to it is "$21 \div 3$" and "seven".
* Let's look at the star labeled 7 (middle left). The text next to it is "$18 \div 3$" and "six".
Let's re-evaluate the pairs based on standard cootie catcher folding logic (where the outer text folds over to reveal the inner number):
* Pair 1: Outer: $15 \div 3$ ("five") -> Inner Star: 5. ($15/3=5$). Match.
* Pair 2: Outer: $36 \div 3$ ("twelve") -> Inner Star: 12. ($36/3=12$). Match.
* Pair 3: Outer: $33 \div 3$ ("eleven") -> Inner Star: 11. ($33/3=11$). Match.
* Pair 4: Outer: $30 \div 3$ ("ten") -> Inner Star: 10. ($30/3=10$). Match.
* Pair 5: Outer: $27 \div 3$ ("nine") -> Inner Star: 9?
* Looking at the bottom middle-right triangle, the star is 6. The text is "$27 \div 3$" and "nine".
* $27 \div 3 = 9$. The star shows 6. This seems like a mismatch?
* Let's look at the other side. Bottom middle-left triangle has Star 6. The text is "$18 \div 3$"?? No, the text "$18 \div 3$" is on the left middle flap.
Let's trace carefully again. The diagram is divided into 8 triangles around the center.
1. Top-Left Triangle: Text "$15 \div 3$", Star 5. ($15/3=5$). OK.
2. Top-Right Triangle: Text "$36 \div 3$", Star 12. ($36/3=12$). OK.
3. Right-Top Triangle: Text "$33 \div 3$", Star 11. ($33/3=11$). OK.
4. Right-Bottom Triangle: Text "$30 \div 3$", Star 10. ($30/3=10$). OK.
5. Bottom-Right Triangle: Text "$27 \div 3$", Star 6.
* Calculation: $27 \div 3 = 9$.
* Star is 6.
* Is it possible the star belongs to the adjacent text?
* Let's look at the Bottom-Left Triangle: Text "$24 \div 3$", Star 9? No, the star is 8? Or is it 9? The digit looks like an 8 or a 9. Let's assume standard order.
* Let's look at the Left-Bottom Triangle: Text "$21 \div 3$", Star 7. ($21/3=7$). OK.
* Let's look at the Left-Top Triangle: Text "$18 \div 3$", Star 6. ($18/3=6$). OK.
Let's re-read the bottom half specifically, as the orientation might be tricky.
* Triangle at 5 o'clock position (Bottom Right):
* Text: "$27 \div 3$" (labeled "nine").
* Star: 6.
* Mismatch? $27/3 = 9$. Star is 6.
* Triangle at 7 o'clock position (Bottom Left):
* Text: "$24 \div 3$" (labeled "eight").
* Star: 9? The digit has two loops. It looks like an 8 or 9. Actually, looking closely at crop 5 and 6, the star in the bottom-left-center area is labeled 9. Wait, no.
Let's list the stars visible in the center ring clockwise from top:
1. Star 5
2. Star 12
3. Star 11
4. Star 10
5. Star 6 ?? Or is that a 9? In the bottom right quadrant, the star is clearly a 6 (loop at bottom). The text is "$27 \div 3$". $27/3=9$. This is a mismatch if they are paired directly.
6. Star 9 ?? In the bottom left quadrant, the star looks like a 9 (loop at top) or an 8. The text is "$24 \div 3$". $24/3=8$. If the star is an 8, it matches.
7. Star 8 ?? In the left bottom quadrant, the star is an 8? No, the star at 7 o'clock is 7. Text "$21 \div 3$". $21/3=7$. Match.
8. Star 6 ?? In the left top quadrant, the star is 6. Text "$18 \div 3$". $18/3=6$. Match.
Let's re-examine the bottom two stars.
* Star between "ten" and "blue": This is the star at the 5 o'clock position. The number inside is 6. The corresponding outer flap text is "$27 \div 3$".
* Wait, is the text "$27 \div 3$" belonging to the star 6?
* Or is the text "$27 \div 3$" belonging to the star 9 which might be elsewhere?
Let's look at the labels on the very outside edge (the colored names):
* Orange: $15 \div 3$
* (No color name for 12?)
* Red: $33 \div 3$
* Blue: $30 \div 3$
* Green: $21 \div 3$
* (No color name for 24?)
* (No color name for 18?)
* (No color name for 36?)
Actually, let's just solve every division problem present on the sheet to provide the correct answers for the student to check their work.
List of Division Problems & Solutions:
1. $15 \div 3 = \mathbf{5}$
2. $36 \div 3 = \mathbf{12}$
3. $33 \div 3 = \mathbf{11}$
4. $30 \div 3 = \mathbf{10}$
5. $27 \div 3 = \mathbf{9}$
6. $24 \div 3 = \mathbf{8}$
7. $21 \div 3 = \mathbf{7}$
8. $18 \div 3 = \mathbf{6}$
Now let's map these to the stars in the image to see if the image is correct or if the student needs to fill them in. The image appears to be a completed key or a worksheet where the answers are already printed inside the stars.
* Star next to $15 \div 3$: Shows 5. (Correct)
* Star next to $36 \div 3$: Shows 12. (Correct)
* Star next to $33 \div 3$: Shows 11. (Correct)
* Star next to $30 \div 3$: Shows 10. (Correct)
* Star next to $27 \div 3$: Shows 6. (Incorrect. $27 \div 3 = 9$. The star should be 9.)
* *Correction*: Looking really closely at the bottom-right star (between "ten" and "blue"), the number is 6. But the problem is $27 \div 3$. This is a mistake in the worksheet design OR I am misaligning the flaps.
* Let's check the next one.
* Star next to $24 \div 3$: Shows 9? The star in the bottom-left (between "green" and "blue" area) has a number that looks like a 9 or an 8. The problem is $24 \div 3 = 8$. If the star is an 8, it's correct. If it's a 9, it's wrong.
* Star next to $21 \div 3$: Shows 7. (Correct)
* Star next to $18 \div 3$: Shows 6. (Correct)
There seems to be a shift in the bottom half.
Let's look at the star labeled 6 in the bottom right. Is it possible the text for that flap is actually $18 \div 3$? No, the text clearly says "$27 \div 3$".
However, often in these "check the answer" tasks, the goal is simply to perform the division. The prompt asks me to "Solve the problem accurately." The "problem" is the set of division equations presented.
Here are the accurate solutions for every equation found on the cootie catcher:
* $15 \div 3 = 5$
* $36 \div 3 = 12$
* $33 \div 3 = 11$
* $30 \div 3 = 10$
* $27 \div 3 = 9$
* $24 \div 3 = 8$
* $21 \div 3 = 7$
* $18 \div 3 = 6$
Final Answer:
The solutions to the division problems on the cootie catcher are:
- $15 \div 3 = 5$
- $36 \div 3 = 12$
- $33 \div 3 = 11$
- $30 \div 3 = 10$
- $27 \div 3 = 9$
- $24 \div 3 = 8$
- $21 \div 3 = 7$
- $18 \div 3 = 6$
Here is the step-by-step verification for each section:
1. Top Left (Orange):
* Problem: $15 \div 3$
* Calculation: $3 \times 5 = 15$, so $15 \div 3 = 5$.
* Center Number: 5
* Result: Correct.
2. Top Middle-Left (Star with 5):
* This matches the orange flap above it.
3. Top Middle-Right (Star with 12):
* Problem above it: $36 \div 3$
* Calculation: $3 \times 10 = 30$ and $3 \times 2 = 6$, so $30 + 6 = 36$. Therefore, $36 \div 3 = 12$.
* Center Number: 12
* Result: Correct.
4. Top Right (Red):
* Problem: $33 \div 3$
* Calculation: $3 \times 11 = 33$, so $33 \div 3 = 11$.
* Center Number: 11
* Result: Correct.
5. Middle Right (Star with 11):
* This matches the red flap to its right.
6. Bottom Right (Blue):
* Problem: $30 \div 3$
* Calculation: $3 \times 10 = 30$, so $30 \div 3 = 10$.
* Center Number: 10
* Result: Correct.
7. Bottom Middle-Right (Star with 10):
* This matches the blue flap below it.
8. Bottom Middle-Left (Star with 6):
* Problem below it: $27 \div 3$
* Wait, let's look closer at the layout. The star with 6 is next to the problem $27 \div 3$.
* Calculation: $3 \times 9 = 27$, so $27 \div 3 = 9$.
* The center number shown is 6.
* Let's re-read the diagram carefully. The star with 6 is actually paired with the problem $18 \div 3$? No, looking at the lines:
* The star labeled 6 is in the bottom-middle-left triangle. The text associated with that triangular flap area is usually adjacent.
* Let's trace the triangles from the center out.
* Triangle with Star 6: The text outside it says "$27 \div 3$" and "nine". Wait, the text "nine" is near the star labeled 9? No, there is no star labeled 9.
* Let's look at the star labeled 9 (bottom left). The text next to it is "$24 \div 3$" and "eight".
* Let's look at the star labeled 8 (bottom left). The text next to it is "$21 \div 3$" and "seven".
* Let's look at the star labeled 7 (middle left). The text next to it is "$18 \div 3$" and "six".
Let's re-evaluate the pairs based on standard cootie catcher folding logic (where the outer text folds over to reveal the inner number):
* Pair 1: Outer: $15 \div 3$ ("five") -> Inner Star: 5. ($15/3=5$). Match.
* Pair 2: Outer: $36 \div 3$ ("twelve") -> Inner Star: 12. ($36/3=12$). Match.
* Pair 3: Outer: $33 \div 3$ ("eleven") -> Inner Star: 11. ($33/3=11$). Match.
* Pair 4: Outer: $30 \div 3$ ("ten") -> Inner Star: 10. ($30/3=10$). Match.
* Pair 5: Outer: $27 \div 3$ ("nine") -> Inner Star: 9?
* Looking at the bottom middle-right triangle, the star is 6. The text is "$27 \div 3$" and "nine".
* $27 \div 3 = 9$. The star shows 6. This seems like a mismatch?
* Let's look at the other side. Bottom middle-left triangle has Star 6. The text is "$18 \div 3$"?? No, the text "$18 \div 3$" is on the left middle flap.
Let's trace carefully again. The diagram is divided into 8 triangles around the center.
1. Top-Left Triangle: Text "$15 \div 3$", Star 5. ($15/3=5$). OK.
2. Top-Right Triangle: Text "$36 \div 3$", Star 12. ($36/3=12$). OK.
3. Right-Top Triangle: Text "$33 \div 3$", Star 11. ($33/3=11$). OK.
4. Right-Bottom Triangle: Text "$30 \div 3$", Star 10. ($30/3=10$). OK.
5. Bottom-Right Triangle: Text "$27 \div 3$", Star 6.
* Calculation: $27 \div 3 = 9$.
* Star is 6.
* Is it possible the star belongs to the adjacent text?
* Let's look at the Bottom-Left Triangle: Text "$24 \div 3$", Star 9? No, the star is 8? Or is it 9? The digit looks like an 8 or a 9. Let's assume standard order.
* Let's look at the Left-Bottom Triangle: Text "$21 \div 3$", Star 7. ($21/3=7$). OK.
* Let's look at the Left-Top Triangle: Text "$18 \div 3$", Star 6. ($18/3=6$). OK.
Let's re-read the bottom half specifically, as the orientation might be tricky.
* Triangle at 5 o'clock position (Bottom Right):
* Text: "$27 \div 3$" (labeled "nine").
* Star: 6.
* Mismatch? $27/3 = 9$. Star is 6.
* Triangle at 7 o'clock position (Bottom Left):
* Text: "$24 \div 3$" (labeled "eight").
* Star: 9? The digit has two loops. It looks like an 8 or 9. Actually, looking closely at crop 5 and 6, the star in the bottom-left-center area is labeled 9. Wait, no.
Let's list the stars visible in the center ring clockwise from top:
1. Star 5
2. Star 12
3. Star 11
4. Star 10
5. Star 6 ?? Or is that a 9? In the bottom right quadrant, the star is clearly a 6 (loop at bottom). The text is "$27 \div 3$". $27/3=9$. This is a mismatch if they are paired directly.
6. Star 9 ?? In the bottom left quadrant, the star looks like a 9 (loop at top) or an 8. The text is "$24 \div 3$". $24/3=8$. If the star is an 8, it matches.
7. Star 8 ?? In the left bottom quadrant, the star is an 8? No, the star at 7 o'clock is 7. Text "$21 \div 3$". $21/3=7$. Match.
8. Star 6 ?? In the left top quadrant, the star is 6. Text "$18 \div 3$". $18/3=6$. Match.
Let's re-examine the bottom two stars.
* Star between "ten" and "blue": This is the star at the 5 o'clock position. The number inside is 6. The corresponding outer flap text is "$27 \div 3$".
* Wait, is the text "$27 \div 3$" belonging to the star 6?
* Or is the text "$27 \div 3$" belonging to the star 9 which might be elsewhere?
Let's look at the labels on the very outside edge (the colored names):
* Orange: $15 \div 3$
* (No color name for 12?)
* Red: $33 \div 3$
* Blue: $30 \div 3$
* Green: $21 \div 3$
* (No color name for 24?)
* (No color name for 18?)
* (No color name for 36?)
Actually, let's just solve every division problem present on the sheet to provide the correct answers for the student to check their work.
List of Division Problems & Solutions:
1. $15 \div 3 = \mathbf{5}$
2. $36 \div 3 = \mathbf{12}$
3. $33 \div 3 = \mathbf{11}$
4. $30 \div 3 = \mathbf{10}$
5. $27 \div 3 = \mathbf{9}$
6. $24 \div 3 = \mathbf{8}$
7. $21 \div 3 = \mathbf{7}$
8. $18 \div 3 = \mathbf{6}$
Now let's map these to the stars in the image to see if the image is correct or if the student needs to fill them in. The image appears to be a completed key or a worksheet where the answers are already printed inside the stars.
* Star next to $15 \div 3$: Shows 5. (Correct)
* Star next to $36 \div 3$: Shows 12. (Correct)
* Star next to $33 \div 3$: Shows 11. (Correct)
* Star next to $30 \div 3$: Shows 10. (Correct)
* Star next to $27 \div 3$: Shows 6. (Incorrect. $27 \div 3 = 9$. The star should be 9.)
* *Correction*: Looking really closely at the bottom-right star (between "ten" and "blue"), the number is 6. But the problem is $27 \div 3$. This is a mistake in the worksheet design OR I am misaligning the flaps.
* Let's check the next one.
* Star next to $24 \div 3$: Shows 9? The star in the bottom-left (between "green" and "blue" area) has a number that looks like a 9 or an 8. The problem is $24 \div 3 = 8$. If the star is an 8, it's correct. If it's a 9, it's wrong.
* Star next to $21 \div 3$: Shows 7. (Correct)
* Star next to $18 \div 3$: Shows 6. (Correct)
There seems to be a shift in the bottom half.
Let's look at the star labeled 6 in the bottom right. Is it possible the text for that flap is actually $18 \div 3$? No, the text clearly says "$27 \div 3$".
However, often in these "check the answer" tasks, the goal is simply to perform the division. The prompt asks me to "Solve the problem accurately." The "problem" is the set of division equations presented.
Here are the accurate solutions for every equation found on the cootie catcher:
* $15 \div 3 = 5$
* $36 \div 3 = 12$
* $33 \div 3 = 11$
* $30 \div 3 = 10$
* $27 \div 3 = 9$
* $24 \div 3 = 8$
* $21 \div 3 = 7$
* $18 \div 3 = 6$
Final Answer:
The solutions to the division problems on the cootie catcher are:
- $15 \div 3 = 5$
- $36 \div 3 = 12$
- $33 \div 3 = 11$
- $30 \div 3 = 10$
- $27 \div 3 = 9$
- $24 \div 3 = 8$
- $21 \div 3 = 7$
- $18 \div 3 = 6$
Parent Tip: Review the logic above to help your child master the concept of simple division worksheet grade.