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Complete the Patterns Worksheet for kids to practice identifying and continuing shape sequences.

A colorful patterns worksheet for children featuring sequences of geometric shapes like squares, diamonds, circles, triangles, and rectangles to complete patterns.

A colorful patterns worksheet for children featuring sequences of geometric shapes like squares, diamonds, circles, triangles, and rectangles to complete patterns.

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Show Answer Key & Explanations Step-by-step solution for: Complete the Patterns - Worksheet 3 | Kids Learning Station ...
Let’s solve each pattern one by one. We’ll look at the shapes and colors, find the repeating rule, then figure out what comes next.

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Pattern 1:
Shapes: Blue square, Red diamond, Blue square, Red diamond, Blue square, Red diamond, ?, ?

We see it goes:
Blue Square → Red Diamond → Blue Square → Red Diamond → Blue Square → Red Diamond

So the pattern is alternating: Square, Diamond, Square, Diamond...

After the last red diamond, we need to continue:
→ Next should be a Blue Square (to match the first shape in the pair)
→ Then a Red Diamond

But wait — looking again, the dashed outlines are for two shapes after the last solid red diamond. So:

Last solid shape = Red Diamond
Next = Blue Square (dashed outline matches square)
Then = Red Diamond (dashed outline matches diamond)

So the missing shapes are: Blue Square, then Red Diamond

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Pattern 2:
Shapes: Yellow circle, Orange triangle pointing left, Orange triangle pointing right, Yellow circle, Yellow circle, Orange triangle pointing left, ?, ?

Let’s list them with positions:

1. Yellow Circle
2. Orange Triangle Left
3. Orange Triangle Right
4. Yellow Circle
5. Yellow Circle
6. Orange Triangle Left
7. ?
8. ?

Look at groups:

First group: Circle, Tri-L, Tri-R → that’s 3 shapes
Second group starts at position 4: Circle, Circle, Tri-L → hmm, not same.

Wait — maybe it’s grouped as:

Group 1: [Circle, Tri-L, Tri-R]
Group 2: [Circle, Circle, Tri-L] → doesn’t match.

Alternative idea: Maybe it’s based on repetition of “Circle” followed by triangles?

Actually, let’s count how many circles before triangles change.

Another approach: Look at the sequence again:

Position:
1: Circle
2: Tri-L
3: Tri-R
4: Circle
5: Circle
6: Tri-L
7: ?
8: ?

Notice from position 4–6: Circle, Circle, Tri-L — this looks like the start of a new set.

Compare to positions 1–3: Circle, Tri-L, Tri-R

So if position 4–6 is starting over but with an extra circle? Not quite.

Wait — perhaps the pattern is:

[Circle], [Tri-L, Tri-R], [Circle, Circle], [Tri-L, ?]

That seems messy.

Let me try grouping differently.

What if the pattern is:

- One circle
- Two triangles (left then right)
- Two circles
- Two triangles (left then ???)

If so, then after two circles (positions 4 & 5), we have Tri-L at 6, so next should be Tri-R at 7.

Then what about position 8? After completing the triangle pair, maybe we go back to circles? But we don’t know yet.

Wait — let’s check total length. There are 8 spots shown, last two blank.

Sequence:

1. C
2. TL
3. TR
4. C
5. C
6. TL
7. ?
8. ?

If we assume the pattern repeats every 3: C, TL, TR — then:

Positions 1–3: C, TL, TR
Positions 4–6: C, C, TL → doesn’t fit.

Alternative idea: Maybe it's symmetric or has a mirror?

Another thought: Perhaps the number of circles increases?

Start: 1 circle → then 2 triangles
Then: 2 circles → then 2 triangles? But only one triangle shown so far in second set.

At position 6: TL → so position 7 should be TR to complete the triangle pair.

Then position 8? If following previous logic, after triangles come more circles? But we already had 2 circles before.

Wait — let’s look at the full row again visually:

It’s:
C, TL, TR, C, C, TL, __, __

Maybe the pattern is:

[C], [TL, TR], [C, C], [TL, TR] → that would make sense!

So:

Group 1: 1 circle + 2 triangles
Group 2: 2 circles + 2 triangles

Then after Group 2’s first triangle (position 6 = TL), next should be TR (position 7), and then... well, the pattern might end there or repeat.

But since we have exactly 8 slots, and we’re filling 7 and 8:

If Group 2 is [C, C, TL, TR], then:

Position 4: C
Position 5: C
Position 6: TL
Position 7: TR ← this completes the triangle pair
Position 8: ??? — but we only have up to 8, and no more instructions.

Wait — actually, looking back at the worksheet, each row has 8 shapes total, with last two dashed.

In Pattern 2, positions 1–6 are filled, 7–8 blank.

If the pattern is:

Set A: C, TL, TR
Set B: C, C, TL, TR → but that’s 4 shapes, too long.

Alternatively, maybe it’s:

The pattern is “Circle, then two triangles”, repeated, but with increasing circles?

No.

Let me try counting occurrences:

Total circles so far: positions 1,4,5 → three circles
Triangles: 2,3,6 → three triangles

Not helpful.

New idea: Maybe the pattern is based on symmetry around center?

Positions 1 to 8:

1: C
2: TL
3: TR
4: C
5: C
6: TL
7: ?
8: ?

If symmetric, position 7 should mirror position 2 → TL? But position 2 is TL, position 7 would be same? Doesn't help.

Wait — here’s a better way:

Look at the transition between shapes.

From pos 1 to 2: C → TL
2 to 3: TL → TR
3 to 4: TR → C
4 to 5: C → C
5 to 6: C → TL
6 to 7: TL → ?
7 to 8: ? → ?

Still stuck.

Let me consider that maybe the pattern is:

“Circle, Left Triangle, Right Triangle” repeated, but sometimes circles are doubled.

Actually, I think I found it:

Break into pairs:

Pair 1: C, TL
Pair 2: TR, C
Pair 3: C, TL
Pair 4: ?, ?

Doesn’t work.

Another breakthrough:

List the sequence with indices:

1: Yellow Circle
2: Orange Triangle Left
3: Orange Triangle Right
4: Yellow Circle
5: Yellow Circle
6: Orange Triangle Left
7: ?
8: ?

Now notice:

From 1 to 3: C, TL, TR — that’s a unit
From 4 to 6: C, C, TL — almost same but extra circle and missing TR

Perhaps the pattern is adding one more circle each time?

Unit 1: 1 circle + 2 triangles
Unit 2: 2 circles + 2 triangles → so after 2 circles (pos 4,5), we have TL (pos 6), so next should be TR (pos 7)

Then what about pos 8? If Unit 2 ends at TR, then pos 8 could be start of Unit 3: which would be 3 circles? But we only have one spot left.

That doesn’t fit.

Wait — maybe the entire pattern is:

[C, TL, TR], [C, C, TL, TR] — but that’s 3 + 4 = 7 shapes, and we have 8.

I’m overcomplicating.

Let me look for simple repetition.

What if the pattern is: Circle, Triangle Left, Triangle Right, and then repeat, but the fourth item is Circle again, fifth is Circle (extra), sixth is Triangle Left — so perhaps seventh is Triangle Right, eighth is Circle?

Let’s test:

Assume the core pattern is: C, TL, TR — repeating.

But at position 4, instead of C, we have C (ok), position 5 should be TL, but it’s C — so deviation.

Unless... the pattern changed after first triplet.

First three: C, TL, TR
Next three: C, C, TL — so they added an extra C, and started triangles early.

Then next should be TR to complete the triangle pair, and then perhaps another C?

So:

Pos 7: TR (to complete the triangle pair started at pos 6)
Pos 8: C (start of next cycle?)

But why C? Because after triangles, usually comes circle.

In first part, after TR came C (pos 4).

Similarly, after TR at pos 7, pos 8 should be C.

Yes! That makes sense.

So:

After pos 6 (TL), pos 7 = TR (completing the triangle pair)
Then pos 8 = C (starting the next circle phase)

And indeed, in the first segment, after TR (pos 3), next was C (pos 4).

So consistent.

Therefore, for Pattern 2:
Position 7: Orange Triangle Right
Position 8: Yellow Circle

---

Pattern 3:
Shapes: Blue triangle, Green rectangle, Blue triangle, Green rectangle, Blue triangle, Green rectangle, ?, ?

Clearly alternating: Triangle, Rectangle, Triangle, Rectangle, etc.

Last solid shape is Green rectangle (position 6)

So next should be Blue triangle (position 7)
Then Green rectangle (position 8)

Missing: Blue Triangle, Green Rectangle

---

Pattern 4:
Shapes: Pink square, Purple circle, Purple circle, Pink square, Pink square, Purple circle, ?, ?

List:

1: Pink Square
2: Purple Circle
3: Purple Circle
4: Pink Square
5: Pink Square
6: Purple Circle
7: ?
8: ?

Look for pattern.

Group 1: S, C, C
Group 2: S, S, C
Then next should be?

If Group 1: 1 square, 2 circles
Group 2: 2 squares, 1 circle? But position 6 is circle, so not matching.

Wait:

Positions 1-3: S, C, C
Positions 4-6: S, S, C

So perhaps Group 3: S, S, S? But we have only two spots.

Another idea: The number of squares increases, circles decrease?

Group 1: 1S, 2C
Group 2: 2S, 1C
Then Group 3: 3S, 0C? But we need two shapes.

After position 6 (C), if following group pattern, next group should start with squares.

But how many?

Notice the transition:

After Group 1 (ends with C), Group 2 starts with S
After Group 2 (ends with C at pos 6), Group 3 should start with S

But how many S? In Group 2, we had two S at start.

Perhaps Group 3 has three S? But only two spots.

Maybe the pattern is symmetric or based on position.

List:

1: S
2: C
3: C
4: S
5: S
6: C
7: ?
8: ?

Compare to first three: S,C,C
Next three: S,S,C — so the "C" moved from position 2-3 to position 3 and 6.

Actually, positions of C: 2,3,6

Positions of S: 1,4,5

Not clear.

Another approach: Think of it as blocks.

Block A: S, C, C
Block B: S, S, C
Then Block C: should be S, S, S? But we have only two positions.

Perhaps the pattern is that the number of consecutive same shapes increases.

Start: one S, then two C's
Then: two S's, then one C? But position 6 is C, and before that two S's (4,5), so yes.

Then after one C, what? Should be three S's? But only two spots.

Unless the next block is three S's, but we can only fill two.

Perhaps the pattern resets or something else.

Wait — let's see the sequence as:

S, CC, SS, C, ??

After C at 6, if we follow the alternation of shape types, but counts vary.

Notice that between the C groups, we have S groups growing.

From start: S (1), then CC (2), then SS (2), then C (1) — not consistent.

Here's a better idea: Look at the pattern as pairs of operations.

Or perhaps it's based on the sum or something — no, too complex for kids.

Let me try to see if it's mirroring.

Positions 1 and 8, 2 and 7, etc.

Pos 1: S, pos 8: ?
Pos 2: C, pos 7: ?
Pos 3: C, pos 6: C — same
Pos 4: S, pos 5: S — same

So if symmetric, pos 7 should mirror pos 2 = C
Pos 8 should mirror pos 1 = S

Oh! That works!

Check:

Pos 1 and 8: both S
Pos 2 and 7: both C
Pos 3 and 6: both C
Pos 4 and 5: both S

Perfect symmetry!

So for Pattern 4:

Position 7: Purple Circle (mirrors pos 2)
Position 8: Pink Square (mirrors pos 1)

Missing: Purple Circle, Pink Square

---

Pattern 5:
Shapes: Yellow diamond, Yellow diamond, Red triangle, Red triangle, Yellow diamond, Yellow diamond, ?, ?

List:

1: YD
2: YD
3: RT
4: RT
5: YD
6: YD
7: ?
8: ?

Clearly, it's repeating every 4 shapes: YD, YD, RT, RT

Then repeats: YD, YD, ... so next should be RT, RT

Because after two YD's, comes two RT's.

Positions 1-4: YD,YD,RT,RT
Positions 5-8: YD,YD,?,? → so ? should be RT, RT

Missing: Red Triangle, Red Triangle

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Now, let's summarize all answers:

Pattern 1: Blue Square, Red Diamond
Pattern 2: Orange Triangle Right, Yellow Circle
Pattern 3: Blue Triangle, Green Rectangle
Pattern 4: Purple Circle, Pink Square
Pattern 5: Red Triangle, Red Triangle

Final Answer:
Pattern 1: Blue Square, Red Diamond
Pattern 2: Orange Triangle Right, Yellow Circle
Pattern 3: Blue Triangle, Green Rectangle
Pattern 4: Purple Circle, Pink Square
Pattern 5: Red Triangle, Red Triangle
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet for third.
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