Patterns: What Comes Next? Worksheet for Kindergarten - 2nd Grade ... - Free Printable
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Step-by-step solution for: Patterns: What Comes Next? Worksheet for Kindergarten - 2nd Grade ...
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Show Answer Key & Explanations
Step-by-step solution for: Patterns: What Comes Next? Worksheet for Kindergarten - 2nd Grade ...
Let's solve the pattern recognition task step by step.
We are given a series of shapes in rows, and we need to determine the next shape in each sequence based on the pattern.
---
Shapes:
🟩 □, 🟩 □, 🟨 ○, 🟩 □
- The colors alternate between green (🟩) and yellow (🟨)?
Wait — actually, looking closely:
- First: Green square
- Second: Green square
- Third: Yellow circle
- Fourth: Green square
Wait — let’s check the actual image description again.
Actually, from your description:
> Row 1: Square, Square, Circle, Square
All shapes are outlined in green, so color is consistent. So ignore color — focus on shape.
So the sequence is:
1. Square
2. Square
3. Circle
4. Square
Now look at the pattern:
S, S, C, S → ?
This seems like it might be repeating every 3? But not quite.
Wait — maybe group it differently?
Alternatively, think about alternating patterns.
But here’s a better idea: perhaps the pattern is based on repetition and alternation.
Let’s re-express:
Row 1: □, □, ○, □
What comes next?
If we look at positions:
- Position 1: □
- Position 2: □
- Position 3: ○
- Position 4: □
Hmm. Maybe it's a cycle of two squares, then a circle, then repeat?
So:
- □, □, ○, □ → next should be □?
But that would make it: □, □, ○, □, □ → then ○ again?
But after two squares, circle appears, then square again.
Wait — but the third one is a circle, fourth is square — so maybe the pattern is square, square, circle, and then repeats?
Then:
- 1: □
- 2: □
- 3: ○
- 4: □ ← this breaks the pattern
Wait — if the pattern is □, □, ○, then next should be □, □, ○, □, □, ○...
But here it's:
1. □
2. □
3. ○
4. □
So position 4 is □ — which could be the start of a new cycle?
So maybe the pattern is □, □, ○, and then it restarts?
But then the 4th shape should be □, which matches.
So sequence:
□, □, ○, □, □, ○, ...
So the 5th should be □, and 6th ○?
But we only have four shapes shown. We are to draw the next shape.
So the sequence is:
1. □
2. □
3. ○
4. □
If we assume the pattern is two squares, then a circle, and then back to square?
But that would be: □, □, ○, □, □, ○...
So after □, □, ○, □ → next is □?
But that would make the 5th shape □.
But wait — why is the 4th shape □?
Maybe the pattern is square, square, circle, square — then what?
Perhaps it's not a simple repetition.
Alternative idea: maybe it's alternating square and circle, but with two squares in a row?
Wait — let’s look at all rows together.
---
Red outline:
○, □, ○, □, ○
So: Circle, Square, Circle, Square, Circle
This is clearly an alternating pattern: ○, □, ○, □, ○
So next should be Square (□)
Because it alternates: Circle → Square → Circle → Square → Circle → Square
✔ So Row 2: Next shape = Square
---
Blue outline:
□, ○, ○, □, ○
So: Square, Circle, Circle, Square, Circle
Pattern:
1. □
2. ○
3. ○
4. □
5. ○
Hmm.
Look at positions:
- 1: □
- 2: ○
- 3: ○
- 4: □
- 5: ○
Is there a pattern?
Group: □, ○, ○ → then □, ○
Wait — maybe it's square, circle, circle, then repeat?
But after that, it goes □, ○ — so not matching.
Or perhaps:
□, ○, ○, □, ○ → next?
Notice:
- Positions 1 and 4: both □
- Positions 2,3,5: ○
So maybe it's: □, ○, ○, □, ○, ○, □, ...
So the pattern is: □, ○, ○, repeated?
But then:
1. □
2. ○
3. ○
4. □ ← yes
5. ○ ← yes
6. ○ ← expected
7. □ ← etc.
So the 6th should be ○
But we’re asked for the next shape after the 5th.
So after ○, ○, □, ○ → next is ○?
But wait: 1:□, 2:○, 3:○, 4:□, 5:○ → so far: □, ○, ○, □, ○
If the pattern is □, ○, ○, then it should repeat: □, ○, ○, □, ○, ○, ...
So the 6th should be ○
But we have 5 shapes already. So the next (6th) is ○
But wait — does it fit?
After □, ○, ○, then □, ○ — so the second □ is followed by ○, but not ○,○?
So maybe not.
Alternative: Could it be square, circle, circle, square, circle, circle?
Then the pattern is: □, ○, ○, □, ○, ○ → so 6th is ○
Yes — so if it’s a repeating block of □, ○, ○, then:
- 1: □
- 2: ○
- 3: ○
- 4: □
- 5: ○
- 6: ○
So yes — the next shape is Circle
But wait — is there a reason for the second □ to appear?
Maybe the pattern is square, circle, circle, then repeat.
But then after □, ○, ○, the next should be □ again — but here the 4th is □, 5th is ○ — so maybe it's just repeating every 3?
But 4th is □ — which is same as 1st — so maybe it's periodic with period 3?
But 1:□, 2:○, 3:○
4:□, 5:○ → so 6 should be ○
So yes — the pattern is: □, ○, ○, □, ○, ○, ...
So next shape is Circle
✔ Row 3: Next shape = Circle
---
Orange outline:
○, □, ○, □, ○
So: Circle, Square, Circle, Square, Circle
Same as Row 2!
So: ○, □, ○, □, ○ → next should be Square
Because it alternates: Circle → Square → Circle → Square → Circle → Square
✔ Row 4: Next shape = Square
---
Purple outline:
□, □, □, ○, □
So: Square, Square, Square, Circle, Square
Now look:
1. □
2. □
3. □
4. ○
5. □
So three squares, then circle, then square.
Possible pattern?
Maybe: three squares, then circle, then repeat?
But after circle comes square — so not yet.
Or maybe: square, square, square, circle, square — then what?
Could it be: square, square, square, circle, and then repeat?
But then after circle, it should go back to square — but that’s already happening.
So:
- 1: □
- 2: □
- 3: □
- 4: ○
- 5: □
Now — if the pattern is: □, □, □, ○, □, □, □, ○, ...
Then next (6th) should be □
But that doesn’t make sense — because after circle, it goes to square, then what?
Wait — perhaps the pattern is: three squares, then circle, and then repeat?
But then after circle, it should go to square again — but we already have that.
So maybe the full cycle is: □, □, □, ○
Then next should be □, □, □, ○, □, □, □, ○,...
But we have: □, □, □, ○, □ — so fifth is □
So sixth should be □
Seventh: □
Eighth: ○
So the pattern is: three squares, then circle, and then back to square?
But that means the circle is followed by square — which is fine.
But the cycle is: □, □, □, ○ → then repeats?
But after ○, it goes to □ — so yes, the cycle is □, □, □, ○, and then starts over.
So:
- 1: □
- 2: □
- 3: □
- 4: ○
- 5: □ ← start of new cycle
- 6: □
- 7: □
- 8: ○
So the next shape (after 5th) is Square
✔ Row 5: Next shape = Square
---
Row 1: □, □, ○, □
So: Square, Square, Circle, Square
Now — what comes next?
We need to find the pattern.
Possibility 1: Alternating with two squares?
But only two squares at the beginning.
Another idea: maybe it's square, square, circle, then square, then what?
Wait — compare to Row 5: □, □, □, ○, □ — so similar.
But here: □, □, ○, □
So:
1. □
2. □
3. ○
4. □
Could it be: square, square, circle, then square, then circle?
But that would be: □, □, ○, □, ○
Or maybe: square, square, circle, then repeat?
But then after ○, it should go to □ — but we have □ already.
Wait — if the pattern is: □, □, ○, □, □, ○,...
Then:
- 1: □
- 2: □
- 3: ○
- 4: □
- 5: □
- 6: ○
So the next shape after 4th (which is □) is □
So Square
But is that supported?
Let’s see: maybe it's two squares, then circle, and then repeat?
So: □, □, ○, □, □, ○,...
So after □, □, ○, the next is □, then □, then ○
But in our case, after □, □, ○, we have □ — so it fits: □, □, ○, □ — so now the next should be □ (to complete the pair), then ○
So yes — the pattern is two squares, then circle, repeating.
So:
- 1: □
- 2: □
- 3: ○
- 4: □
- 5: □
- 6: ○
So the next shape after the 4th is Square
✔ Row 1: Next shape = Square
---
Let’s list all:
#### Row 1: □, □, ○, □ → next: □ (Square)
→ Pattern: Two squares, then circle, repeat.
#### Row 2: ○, □, ○, □, ○ → next: □ (Square)
→ Alternating: Circle, Square, Circle, Square, ... → next is Square
#### Row 3: □, ○, ○, □, ○ → next: ○ (Circle)
→ Pattern: □, ○, ○, repeat?
But 1:□, 2:○, 3:○, 4:□, 5:○ → so 6:○ → yes
So pattern: □, ○, ○, □, ○, ○, ... → so next is ○
Wait — but is it really repeating every 3?
Positions:
- 1: □
- 2: ○
- 3: ○
- 4: □ ← same as 1
- 5: ○ ← same as 2
- 6: ○ ← same as 3
So yes — it's a repeating pattern of □, ○, ○
So next is ○
✔
#### Row 4: ○, □, ○, □, ○ → next: □ (Square)
→ Alternating: ○, □, ○, □, ○ → next is □
✔
#### Row 5: □, □, □, ○, □ → next: □ (Square)
→ Pattern: Three squares, then circle, then repeat?
But after circle, it goes to square — so the cycle is: □, □, □, ○, then repeat?
But then after ○, it should go to □ — which it does.
So:
- 1: □
- 2: □
- 3: □
- 4: ○
- 5: □
- 6: □
- 7: □
- 8: ○
So yes — the pattern is three squares, then circle, and then back to square.
So after □ (5th), next is □
✔
---
| Row | Sequence | Next Shape |
|-----|----------------------------------|------------|
| 1 | □, □, ○, □ | □ |
| 2 | ○, □, ○, □, ○ | □ |
| 3 | □, ○, ○, □, ○ | ○ |
| 4 | ○, □, ○, □, ○ | □ |
| 5 | □, □, □, ○, □ | □ |
---
Draw the following shapes in order:
1. Square
2. Square
3. Circle
4. Square
5. Square
You can now draw these shapes in the blank spaces provided on the worksheet.
We are given a series of shapes in rows, and we need to determine the next shape in each sequence based on the pattern.
---
Row 1:
Shapes:
🟩 □, 🟩 □, 🟨 ○, 🟩 □
- The colors alternate between green (🟩) and yellow (🟨)?
Wait — actually, looking closely:
- First: Green square
- Second: Green square
- Third: Yellow circle
- Fourth: Green square
Wait — let’s check the actual image description again.
Actually, from your description:
> Row 1: Square, Square, Circle, Square
All shapes are outlined in green, so color is consistent. So ignore color — focus on shape.
So the sequence is:
1. Square
2. Square
3. Circle
4. Square
Now look at the pattern:
S, S, C, S → ?
This seems like it might be repeating every 3? But not quite.
Wait — maybe group it differently?
Alternatively, think about alternating patterns.
But here’s a better idea: perhaps the pattern is based on repetition and alternation.
Let’s re-express:
Row 1: □, □, ○, □
What comes next?
If we look at positions:
- Position 1: □
- Position 2: □
- Position 3: ○
- Position 4: □
Hmm. Maybe it's a cycle of two squares, then a circle, then repeat?
So:
- □, □, ○, □ → next should be □?
But that would make it: □, □, ○, □, □ → then ○ again?
But after two squares, circle appears, then square again.
Wait — but the third one is a circle, fourth is square — so maybe the pattern is square, square, circle, and then repeats?
Then:
- 1: □
- 2: □
- 3: ○
- 4: □ ← this breaks the pattern
Wait — if the pattern is □, □, ○, then next should be □, □, ○, □, □, ○...
But here it's:
1. □
2. □
3. ○
4. □
So position 4 is □ — which could be the start of a new cycle?
So maybe the pattern is □, □, ○, and then it restarts?
But then the 4th shape should be □, which matches.
So sequence:
□, □, ○, □, □, ○, ...
So the 5th should be □, and 6th ○?
But we only have four shapes shown. We are to draw the next shape.
So the sequence is:
1. □
2. □
3. ○
4. □
If we assume the pattern is two squares, then a circle, and then back to square?
But that would be: □, □, ○, □, □, ○...
So after □, □, ○, □ → next is □?
But that would make the 5th shape □.
But wait — why is the 4th shape □?
Maybe the pattern is square, square, circle, square — then what?
Perhaps it's not a simple repetition.
Alternative idea: maybe it's alternating square and circle, but with two squares in a row?
Wait — let’s look at all rows together.
---
Row 2:
Red outline:
○, □, ○, □, ○
So: Circle, Square, Circle, Square, Circle
This is clearly an alternating pattern: ○, □, ○, □, ○
So next should be Square (□)
Because it alternates: Circle → Square → Circle → Square → Circle → Square
✔ So Row 2: Next shape = Square
---
Row 3:
Blue outline:
□, ○, ○, □, ○
So: Square, Circle, Circle, Square, Circle
Pattern:
1. □
2. ○
3. ○
4. □
5. ○
Hmm.
Look at positions:
- 1: □
- 2: ○
- 3: ○
- 4: □
- 5: ○
Is there a pattern?
Group: □, ○, ○ → then □, ○
Wait — maybe it's square, circle, circle, then repeat?
But after that, it goes □, ○ — so not matching.
Or perhaps:
□, ○, ○, □, ○ → next?
Notice:
- Positions 1 and 4: both □
- Positions 2,3,5: ○
So maybe it's: □, ○, ○, □, ○, ○, □, ...
So the pattern is: □, ○, ○, repeated?
But then:
1. □
2. ○
3. ○
4. □ ← yes
5. ○ ← yes
6. ○ ← expected
7. □ ← etc.
So the 6th should be ○
But we’re asked for the next shape after the 5th.
So after ○, ○, □, ○ → next is ○?
But wait: 1:□, 2:○, 3:○, 4:□, 5:○ → so far: □, ○, ○, □, ○
If the pattern is □, ○, ○, then it should repeat: □, ○, ○, □, ○, ○, ...
So the 6th should be ○
But we have 5 shapes already. So the next (6th) is ○
But wait — does it fit?
After □, ○, ○, then □, ○ — so the second □ is followed by ○, but not ○,○?
So maybe not.
Alternative: Could it be square, circle, circle, square, circle, circle?
Then the pattern is: □, ○, ○, □, ○, ○ → so 6th is ○
Yes — so if it’s a repeating block of □, ○, ○, then:
- 1: □
- 2: ○
- 3: ○
- 4: □
- 5: ○
- 6: ○
So yes — the next shape is Circle
But wait — is there a reason for the second □ to appear?
Maybe the pattern is square, circle, circle, then repeat.
But then after □, ○, ○, the next should be □ again — but here the 4th is □, 5th is ○ — so maybe it's just repeating every 3?
But 4th is □ — which is same as 1st — so maybe it's periodic with period 3?
But 1:□, 2:○, 3:○
4:□, 5:○ → so 6 should be ○
So yes — the pattern is: □, ○, ○, □, ○, ○, ...
So next shape is Circle
✔ Row 3: Next shape = Circle
---
Row 4:
Orange outline:
○, □, ○, □, ○
So: Circle, Square, Circle, Square, Circle
Same as Row 2!
So: ○, □, ○, □, ○ → next should be Square
Because it alternates: Circle → Square → Circle → Square → Circle → Square
✔ Row 4: Next shape = Square
---
Row 5:
Purple outline:
□, □, □, ○, □
So: Square, Square, Square, Circle, Square
Now look:
1. □
2. □
3. □
4. ○
5. □
So three squares, then circle, then square.
Possible pattern?
Maybe: three squares, then circle, then repeat?
But after circle comes square — so not yet.
Or maybe: square, square, square, circle, square — then what?
Could it be: square, square, square, circle, and then repeat?
But then after circle, it should go back to square — but that’s already happening.
So:
- 1: □
- 2: □
- 3: □
- 4: ○
- 5: □
Now — if the pattern is: □, □, □, ○, □, □, □, ○, ...
Then next (6th) should be □
But that doesn’t make sense — because after circle, it goes to square, then what?
Wait — perhaps the pattern is: three squares, then circle, and then repeat?
But then after circle, it should go to square again — but we already have that.
So maybe the full cycle is: □, □, □, ○
Then next should be □, □, □, ○, □, □, □, ○,...
But we have: □, □, □, ○, □ — so fifth is □
So sixth should be □
Seventh: □
Eighth: ○
So the pattern is: three squares, then circle, and then back to square?
But that means the circle is followed by square — which is fine.
But the cycle is: □, □, □, ○ → then repeats?
But after ○, it goes to □ — so yes, the cycle is □, □, □, ○, and then starts over.
So:
- 1: □
- 2: □
- 3: □
- 4: ○
- 5: □ ← start of new cycle
- 6: □
- 7: □
- 8: ○
So the next shape (after 5th) is Square
✔ Row 5: Next shape = Square
---
Now go back to Row 1:
Row 1: □, □, ○, □
So: Square, Square, Circle, Square
Now — what comes next?
We need to find the pattern.
Possibility 1: Alternating with two squares?
But only two squares at the beginning.
Another idea: maybe it's square, square, circle, then square, then what?
Wait — compare to Row 5: □, □, □, ○, □ — so similar.
But here: □, □, ○, □
So:
1. □
2. □
3. ○
4. □
Could it be: square, square, circle, then square, then circle?
But that would be: □, □, ○, □, ○
Or maybe: square, square, circle, then repeat?
But then after ○, it should go to □ — but we have □ already.
Wait — if the pattern is: □, □, ○, □, □, ○,...
Then:
- 1: □
- 2: □
- 3: ○
- 4: □
- 5: □
- 6: ○
So the next shape after 4th (which is □) is □
So Square
But is that supported?
Let’s see: maybe it's two squares, then circle, and then repeat?
So: □, □, ○, □, □, ○,...
So after □, □, ○, the next is □, then □, then ○
But in our case, after □, □, ○, we have □ — so it fits: □, □, ○, □ — so now the next should be □ (to complete the pair), then ○
So yes — the pattern is two squares, then circle, repeating.
So:
- 1: □
- 2: □
- 3: ○
- 4: □
- 5: □
- 6: ○
So the next shape after the 4th is Square
✔ Row 1: Next shape = Square
---
Summary:
Let’s list all:
#### Row 1: □, □, ○, □ → next: □ (Square)
→ Pattern: Two squares, then circle, repeat.
#### Row 2: ○, □, ○, □, ○ → next: □ (Square)
→ Alternating: Circle, Square, Circle, Square, ... → next is Square
#### Row 3: □, ○, ○, □, ○ → next: ○ (Circle)
→ Pattern: □, ○, ○, repeat?
But 1:□, 2:○, 3:○, 4:□, 5:○ → so 6:○ → yes
So pattern: □, ○, ○, □, ○, ○, ... → so next is ○
Wait — but is it really repeating every 3?
Positions:
- 1: □
- 2: ○
- 3: ○
- 4: □ ← same as 1
- 5: ○ ← same as 2
- 6: ○ ← same as 3
So yes — it's a repeating pattern of □, ○, ○
So next is ○
✔
#### Row 4: ○, □, ○, □, ○ → next: □ (Square)
→ Alternating: ○, □, ○, □, ○ → next is □
✔
#### Row 5: □, □, □, ○, □ → next: □ (Square)
→ Pattern: Three squares, then circle, then repeat?
But after circle, it goes to square — so the cycle is: □, □, □, ○, then repeat?
But then after ○, it should go to □ — which it does.
So:
- 1: □
- 2: □
- 3: □
- 4: ○
- 5: □
- 6: □
- 7: □
- 8: ○
So yes — the pattern is three squares, then circle, and then back to square.
So after □ (5th), next is □
✔
---
Final Answers:
| Row | Sequence | Next Shape |
|-----|----------------------------------|------------|
| 1 | □, □, ○, □ | □ |
| 2 | ○, □, ○, □, ○ | □ |
| 3 | □, ○, ○, □, ○ | ○ |
| 4 | ○, □, ○, □, ○ | □ |
| 5 | □, □, □, ○, □ | □ |
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✔ Solution:
Draw the following shapes in order:
1. Square
2. Square
3. Circle
4. Square
5. Square
You can now draw these shapes in the blank spaces provided on the worksheet.
Parent Tip: Review the logic above to help your child master the concept of what comes next worksheet.