Complete the Patterns worksheet featuring sequences of colorful geometric shapes for children to identify and continue.
A colorful worksheet titled "Complete the Patterns" with four rows of geometric shapes (diamonds, circles, squares, triangles, ovals) arranged in repeating sequences, where the last two shapes in each row are missing and need to be completed by the student.
JPEG
327×440
29.7 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #444867
⭐
Show Answer Key & Explanations
Step-by-step solution for: Complete the Patterns - Worksheet 1 | All Kids Network
▼
Show Answer Key & Explanations
Step-by-step solution for: Complete the Patterns - Worksheet 1 | All Kids Network
Let’s go step by step to solve each pattern.
---
Pattern 1: Red Diamond, Orange Circle, Red Diamond, Orange Circle, Red Diamond, Orange Circle, ____, ____
Look at the sequence:
- Red Diamond
- Orange Circle
- Red Diamond
- Orange Circle
- Red Diamond
- Orange Circle
It’s repeating every two shapes: Red Diamond → Orange Circle
So after the last Orange Circle, the next should be:
→ Red Diamond (to start the pair again)
→ Orange Circle (to complete the pair)
✔ So blanks are: Red Diamond, Orange Circle
---
Pattern 2: Purple Square, Yellow Triangle, Purple Square, Yellow Triangle, Purple Square, Yellow Triangle, ____, ____
Sequence:
- Purple Square
- Yellow Triangle
- Purple Square
- Yellow Triangle
- Purple Square
- Yellow Triangle
Repeating every two: Purple Square → Yellow Triangle
After last Yellow Triangle:
→ Purple Square
→ Yellow Triangle
✔ Blanks: Purple Square, Yellow Triangle
---
Pattern 3: Blue Circle, Pink Square, Pink Square, Blue Circle, Blue Circle, Pink Square, ____, ____
Let’s write it with positions:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
Hmm… let’s look for a repeating unit.
From position 1–3: Blue Circle, Pink Square, Pink Square
Then 4–6: Blue Circle, Blue Circle, Pink Square — not same.
Wait — maybe group as pairs?
Positions 1–2: Blue Circle, Pink Square
Positions 3–4: Pink Square, Blue Circle ← different
Not that.
Try looking at groups of 3:
Group 1: Blue Circle, Pink Square, Pink Square
Group 2: Blue Circle, Blue Circle, Pink Square ← not matching
Wait — what if we look at symmetry or alternation?
Actually, let’s list them again:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
Notice:
- Positions 1, 4, 5 → Blue Circles? Not consistent.
Alternative idea: Maybe it’s based on counting?
Blue Circle appears at 1, 4, 5 → three times so far
Pink Square at 2, 3, 6 → also three times
But order matters.
Wait — perhaps it’s:
[Blue Circle, Pink Square, Pink Square] then [Blue Circle, Blue Circle, Pink Square] — but that doesn’t repeat.
Another approach: Look at transitions.
From 1→2: Blue → Pink
2→3: Pink → Pink
3→4: Pink → Blue
4→5: Blue → Blue
5→6: Blue → Pink
So the pattern of changes is:
Change, Same, Change, Same, Change...
That suggests next should be “Same” → so after Pink Square (position 6), next should be another Pink Square? But that breaks the alternation.
Wait — let’s try grouping differently.
What if the pattern is:
Blue Circle, Pink Square, Pink Square,
then Blue Circle, Blue Circle, Pink Square,
then... what comes next?
Maybe it’s building up? Like:
First group: one Blue, two Pinks
Second group: two Blues, one Pink
Third group: maybe three Blues? Or back to one Blue?
But we only have two blanks.
Alternatively, think of it as alternating blocks:
Block A: Blue Circle, Pink Square, Pink Square
Block B: Blue Circle, Blue Circle, Pink Square
Then Block C? What would come next?
If Block A has 1 Blue + 2 Pinks
Block B has 2 Blues + 1 Pink
Then Block C might have 3 Blues? But we only have two slots.
Wait — maybe it’s simpler.
Look at the entire sequence:
Blue Circle, Pink Square, Pink Square, Blue Circle, Blue Circle, Pink Square
Let me number them:
1: Blue Circle
2: Pink Square
3: Pink Square
4: Blue Circle
5: Blue Circle
6: Pink Square
Now, notice:
Positions 1, 4, 5 → Blue Circles
Positions 2, 3, 6 → Pink Squares
But positions 4 and 5 are consecutive Blues, while 1 is alone.
Perhaps the pattern is:
Start with one Blue, then two Pinks; then two Blues, then one Pink; then maybe three Blues? But we don’t have space.
Wait — what if we consider the pattern as:
[Blue Circle], [Pink Square, Pink Square], [Blue Circle, Blue Circle], [Pink Square], ...
That seems messy.
Alternative idea: Maybe it’s symmetric?
Let’s see:
1: Blue
2: Pink
3: Pink
4: Blue
5: Blue
6: Pink
If we mirror around center between 3 and 4:
Left: 1=Blue, 2=Pink, 3=Pink
Right: 4=Blue, 5=Blue, 6=Pink — not symmetric.
Wait — here’s a better way:
Look at the sequence as pairs:
Pair 1: (Blue Circle, Pink Square)
Pair 2: (Pink Square, Blue Circle)
Pair 3: (Blue Circle, Pink Square)
Pair 4: (Blue Circle, ???) — wait, we have six items, so three pairs.
Actually, let’s group into triplets:
Triplet 1: Blue Circle, Pink Square, Pink Square
Triplet 2: Blue Circle, Blue Circle, Pink Square
Now, compare:
Triplet 1: B, P, P
Triplet 2: B, B, P
So first element same (B), second changed from P to B, third same (P)
Then Triplet 3 might be: B, B, B? But we only have two blanks.
We need to fill positions 7 and 8.
After triplet 2 (positions 4,5,6: B,B,P), what comes next?
If the pattern of triplets is changing the middle element:
Triplet 1: B, P, P
Triplet 2: B, B, P
Triplet 3: B, B, B? Then position 7=B, 8=B? But that’s only one shape per blank? No, each blank is one shape.
Positions 7 and 8 are separate.
Perhaps the pattern is:
The number of consecutive same shapes increases?
From start:
- One Blue (pos1)
- Two Pinks (pos2-3)
- Two Blues (pos4-5)
- One Pink (pos6)
- Then maybe two Blues again? But pos7 and 8.
After pos6 (Pink), if we follow the "two Blues" pattern, but we had two Blues already at 4-5.
This is getting complicated.
Let me try a different approach.
List the shapes in order:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
Now, let's see the difference between consecutive:
1 to 2: change
2 to 3: same
3 to 4: change
4 to 5: same
5 to 6: change
So the pattern of "change" and "same" is: C, S, C, S, C
So next should be S (same as previous)
Previous is Pink Square (pos6), so pos7 should be Pink Square
Then pos8: after S, it should be C (change), so from Pink Square to Blue Circle
So pos7: Pink Square
pos8: Blue Circle
Let’s check if that makes sense.
Sequence would be:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
7. Pink Square
8. Blue Circle
Now, look at the "change/same" pattern:
1-2: C
2-3: S
3-4: C
4-5: S
5-6: C
6-7: S (Pink to Pink)
7-8: C (Pink to Blue)
Perfect! The pattern of transitions is alternating: Change, Same, Change, Same, Change, Same, Change...
So for positions 7 and 8: Pink Square, Blue Circle
✔ Blanks: Pink Square, Blue Circle
---
Pattern 4: Green Triangle (pointing left), Green Triangle (pointing left), Blue Triangle (pointing left), Blue Triangle (pointing left), Green Triangle (pointing left), Green Triangle (pointing left), ____, ____
Wait, let's read carefully:
The shapes are:
1. Green Triangle (left-pointing)
2. Green Triangle (left-pointing)
3. Blue Triangle (left-pointing)
4. Blue Triangle (left-pointing)
5. Green Triangle (left-pointing)
6. Green Triangle (left-pointing)
So it's: GG, BB, GG, ...
So the pattern is: two Greens, two Blues, two Greens, ...
Next should be two Blues.
So pos7: Blue Triangle (left-pointing)
pos8: Blue Triangle (left-pointing)
✔ Blanks: Blue Triangle, Blue Triangle
---
Pattern 5: Yellow Diamond, Red Rectangle, Yellow Diamond, Red Rectangle, Yellow Diamond, Red Rectangle, ____, ____
Simple: Yellow Diamond, Red Rectangle, repeating.
After last Red Rectangle (pos6), next is Yellow Diamond, then Red Rectangle.
✔ Blanks: Yellow Diamond, Red Rectangle
---
Now, summarizing all answers:
Pattern 1: Red Diamond, Orange Circle
Pattern 2: Purple Square, Yellow Triangle
Pattern 3: Pink Square, Blue Circle
Pattern 4: Blue Triangle, Blue Triangle
Pattern 5: Yellow Diamond, Red Rectangle
Final Answer:
Red Diamond, Orange Circle, Purple Square, Yellow Triangle, Pink Square, Blue Circle, Blue Triangle, Blue Triangle, Yellow Diamond, Red Rectangle
---
Pattern 1: Red Diamond, Orange Circle, Red Diamond, Orange Circle, Red Diamond, Orange Circle, ____, ____
Look at the sequence:
- Red Diamond
- Orange Circle
- Red Diamond
- Orange Circle
- Red Diamond
- Orange Circle
It’s repeating every two shapes: Red Diamond → Orange Circle
So after the last Orange Circle, the next should be:
→ Red Diamond (to start the pair again)
→ Orange Circle (to complete the pair)
✔ So blanks are: Red Diamond, Orange Circle
---
Pattern 2: Purple Square, Yellow Triangle, Purple Square, Yellow Triangle, Purple Square, Yellow Triangle, ____, ____
Sequence:
- Purple Square
- Yellow Triangle
- Purple Square
- Yellow Triangle
- Purple Square
- Yellow Triangle
Repeating every two: Purple Square → Yellow Triangle
After last Yellow Triangle:
→ Purple Square
→ Yellow Triangle
✔ Blanks: Purple Square, Yellow Triangle
---
Pattern 3: Blue Circle, Pink Square, Pink Square, Blue Circle, Blue Circle, Pink Square, ____, ____
Let’s write it with positions:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
Hmm… let’s look for a repeating unit.
From position 1–3: Blue Circle, Pink Square, Pink Square
Then 4–6: Blue Circle, Blue Circle, Pink Square — not same.
Wait — maybe group as pairs?
Positions 1–2: Blue Circle, Pink Square
Positions 3–4: Pink Square, Blue Circle ← different
Not that.
Try looking at groups of 3:
Group 1: Blue Circle, Pink Square, Pink Square
Group 2: Blue Circle, Blue Circle, Pink Square ← not matching
Wait — what if we look at symmetry or alternation?
Actually, let’s list them again:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
Notice:
- Positions 1, 4, 5 → Blue Circles? Not consistent.
Alternative idea: Maybe it’s based on counting?
Blue Circle appears at 1, 4, 5 → three times so far
Pink Square at 2, 3, 6 → also three times
But order matters.
Wait — perhaps it’s:
[Blue Circle, Pink Square, Pink Square] then [Blue Circle, Blue Circle, Pink Square] — but that doesn’t repeat.
Another approach: Look at transitions.
From 1→2: Blue → Pink
2→3: Pink → Pink
3→4: Pink → Blue
4→5: Blue → Blue
5→6: Blue → Pink
So the pattern of changes is:
Change, Same, Change, Same, Change...
That suggests next should be “Same” → so after Pink Square (position 6), next should be another Pink Square? But that breaks the alternation.
Wait — let’s try grouping differently.
What if the pattern is:
Blue Circle, Pink Square, Pink Square,
then Blue Circle, Blue Circle, Pink Square,
then... what comes next?
Maybe it’s building up? Like:
First group: one Blue, two Pinks
Second group: two Blues, one Pink
Third group: maybe three Blues? Or back to one Blue?
But we only have two blanks.
Alternatively, think of it as alternating blocks:
Block A: Blue Circle, Pink Square, Pink Square
Block B: Blue Circle, Blue Circle, Pink Square
Then Block C? What would come next?
If Block A has 1 Blue + 2 Pinks
Block B has 2 Blues + 1 Pink
Then Block C might have 3 Blues? But we only have two slots.
Wait — maybe it’s simpler.
Look at the entire sequence:
Blue Circle, Pink Square, Pink Square, Blue Circle, Blue Circle, Pink Square
Let me number them:
1: Blue Circle
2: Pink Square
3: Pink Square
4: Blue Circle
5: Blue Circle
6: Pink Square
Now, notice:
Positions 1, 4, 5 → Blue Circles
Positions 2, 3, 6 → Pink Squares
But positions 4 and 5 are consecutive Blues, while 1 is alone.
Perhaps the pattern is:
Start with one Blue, then two Pinks; then two Blues, then one Pink; then maybe three Blues? But we don’t have space.
Wait — what if we consider the pattern as:
[Blue Circle], [Pink Square, Pink Square], [Blue Circle, Blue Circle], [Pink Square], ...
That seems messy.
Alternative idea: Maybe it’s symmetric?
Let’s see:
1: Blue
2: Pink
3: Pink
4: Blue
5: Blue
6: Pink
If we mirror around center between 3 and 4:
Left: 1=Blue, 2=Pink, 3=Pink
Right: 4=Blue, 5=Blue, 6=Pink — not symmetric.
Wait — here’s a better way:
Look at the sequence as pairs:
Pair 1: (Blue Circle, Pink Square)
Pair 2: (Pink Square, Blue Circle)
Pair 3: (Blue Circle, Pink Square)
Pair 4: (Blue Circle, ???) — wait, we have six items, so three pairs.
Actually, let’s group into triplets:
Triplet 1: Blue Circle, Pink Square, Pink Square
Triplet 2: Blue Circle, Blue Circle, Pink Square
Now, compare:
Triplet 1: B, P, P
Triplet 2: B, B, P
So first element same (B), second changed from P to B, third same (P)
Then Triplet 3 might be: B, B, B? But we only have two blanks.
We need to fill positions 7 and 8.
After triplet 2 (positions 4,5,6: B,B,P), what comes next?
If the pattern of triplets is changing the middle element:
Triplet 1: B, P, P
Triplet 2: B, B, P
Triplet 3: B, B, B? Then position 7=B, 8=B? But that’s only one shape per blank? No, each blank is one shape.
Positions 7 and 8 are separate.
Perhaps the pattern is:
The number of consecutive same shapes increases?
From start:
- One Blue (pos1)
- Two Pinks (pos2-3)
- Two Blues (pos4-5)
- One Pink (pos6)
- Then maybe two Blues again? But pos7 and 8.
After pos6 (Pink), if we follow the "two Blues" pattern, but we had two Blues already at 4-5.
This is getting complicated.
Let me try a different approach.
List the shapes in order:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
Now, let's see the difference between consecutive:
1 to 2: change
2 to 3: same
3 to 4: change
4 to 5: same
5 to 6: change
So the pattern of "change" and "same" is: C, S, C, S, C
So next should be S (same as previous)
Previous is Pink Square (pos6), so pos7 should be Pink Square
Then pos8: after S, it should be C (change), so from Pink Square to Blue Circle
So pos7: Pink Square
pos8: Blue Circle
Let’s check if that makes sense.
Sequence would be:
1. Blue Circle
2. Pink Square
3. Pink Square
4. Blue Circle
5. Blue Circle
6. Pink Square
7. Pink Square
8. Blue Circle
Now, look at the "change/same" pattern:
1-2: C
2-3: S
3-4: C
4-5: S
5-6: C
6-7: S (Pink to Pink)
7-8: C (Pink to Blue)
Perfect! The pattern of transitions is alternating: Change, Same, Change, Same, Change, Same, Change...
So for positions 7 and 8: Pink Square, Blue Circle
✔ Blanks: Pink Square, Blue Circle
---
Pattern 4: Green Triangle (pointing left), Green Triangle (pointing left), Blue Triangle (pointing left), Blue Triangle (pointing left), Green Triangle (pointing left), Green Triangle (pointing left), ____, ____
Wait, let's read carefully:
The shapes are:
1. Green Triangle (left-pointing)
2. Green Triangle (left-pointing)
3. Blue Triangle (left-pointing)
4. Blue Triangle (left-pointing)
5. Green Triangle (left-pointing)
6. Green Triangle (left-pointing)
So it's: GG, BB, GG, ...
So the pattern is: two Greens, two Blues, two Greens, ...
Next should be two Blues.
So pos7: Blue Triangle (left-pointing)
pos8: Blue Triangle (left-pointing)
✔ Blanks: Blue Triangle, Blue Triangle
---
Pattern 5: Yellow Diamond, Red Rectangle, Yellow Diamond, Red Rectangle, Yellow Diamond, Red Rectangle, ____, ____
Simple: Yellow Diamond, Red Rectangle, repeating.
After last Red Rectangle (pos6), next is Yellow Diamond, then Red Rectangle.
✔ Blanks: Yellow Diamond, Red Rectangle
---
Now, summarizing all answers:
Pattern 1: Red Diamond, Orange Circle
Pattern 2: Purple Square, Yellow Triangle
Pattern 3: Pink Square, Blue Circle
Pattern 4: Blue Triangle, Blue Triangle
Pattern 5: Yellow Diamond, Red Rectangle
Final Answer:
Red Diamond, Orange Circle, Purple Square, Yellow Triangle, Pink Square, Blue Circle, Blue Triangle, Blue Triangle, Yellow Diamond, Red Rectangle
Parent Tip: Review the logic above to help your child master the concept of pattern completion worksheet first grade.