Patterns - UKG Math Worksheets - Free Printable

Let's solve each pattern in the Shapes Worksheet step by step. The goal is to identify the repeating pattern and choose the correct shape(s) from the options given in the box to continue it.

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🔍 General Strategy:

- Look at the sequence of shapes and colors.
- Identify if there’s a repeating cycle (e.g., square → circle → star → square → ...)
- Check both shape and color for consistency.
- Use the provided options to pick the correct continuation.

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✔ Problem 1:

Sequence:
🟩 Square → 🟪 Circle → 🟩 Star → 🟩 Square → ?

Look at the pattern:
- Shapes: Square, Circle, Star, Square → next should follow the cycle.
- But notice: the first and fourth are squares, so maybe it's square, circle, star, square, then repeat?

Wait — let’s list them:
1. Pink Square
2. Purple Circle
3. Teal Star
4. Pink Square

Now, since the first and fourth are both pink squares, it seems like the pattern repeats every 3 shapes:
→ Square → Circle → Star → Square → Circle → Star → ...

So after the 4th shape (Square), the next should be Circle (same color as second one? Not necessarily — but look at color).

But wait — the second shape is purple circle, and we don’t see another purple yet.

But here’s the key: The pattern might be based on shape only, or both shape and color.

But let’s check:

- Shape order: Square → Circle → Star → Square → ?
- So the pattern is: Square, Circle, Star, Square, Circle, Star...

So after the 4th (Square), next should be Circle.

Now look at the options:
- Option: 🟪 Circle + 🟩 Square

So the next two shapes should be Purple Circle and Pink Square?

But we’re only filling one blank (the dashed line). So we need just one shape.

Wait — the dashed line is after the 4th shape. So we need only one more shape.

But the option shows two shapes — maybe it's suggesting what comes next?

Actually, the format seems to be: the sequence ends with a dash, and the box gives two shapes as possible choices for the next one or two.

But looking closely, each problem has a single blank (dashed line), and a box with two shapes — likely the correct pair that continues the pattern.

But the blank is after the 4th shape, so we need to fill in the 5th shape.

So let’s re-analyze.

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#### Problem 1:
Sequence:
1. Pink Square
2. Purple Circle
3. Teal Star
4. Pink Square
→ ? (5th)

Shape: Square → Circle → Star → Square → ?

So shape pattern: Square, Circle, Star, Square → then Circle again?

Yes! So it’s a cycle of 3: Square → Circle → Star → Square → Circle → Star...

So after Square (4th), next is Circle.

Color: Second was purple, so fifth should be purple circle?

But the option shows: 🟪 Circle and 🟩 Square

So the next shape is purple circle.

✔ So answer: Purple Circle

But the box has two shapes — maybe the next two are expected?

Wait — perhaps the blank is meant to be filled with two shapes, but it's drawn as one dashed line.

Looking at the image: it's a single dashed line after the 4th shape.

But the box has two shapes. So likely, the correct choice is the pair that continues the pattern.

So maybe the pattern is longer.

Let’s try to find the full repeating unit.

Wait — maybe it's not repeating every 3.

Alternative idea: could it be Square, Circle, Star, Square, and then repeat?

That would mean:
1. Square
2. Circle
3. Star
4. Square
5. Circle
6. Star
7. Square
etc.

So yes — every 3 shapes, it cycles: Square → Circle → Star → (then back to Square?)

But the 4th is Square again — so yes.

So the pattern is: (Square, Circle, Star) repeated.

So the full sequence:
1. Square
2. Circle
3. Star
4. Square (start of next cycle)
5. Circle
6. Star
7. Square
...

So after 4th (Square), 5th is Circle, 6th is Star, etc.

So the next shape is Circle.

Now, which circle? The second one was purple, so likely same color.

So purple circle.

And the option shows: 🟪 Circle and 🟩 Square → so the purple circle is the first one.

So the correct choice is to select the purple circle.

But since the box shows two shapes, and the question says “complete the pattern”, probably we pick the correct pair that continues the sequence.

But the blank is only one space, so likely we pick the first shape from the pair.

Alternatively, maybe the pattern requires two more shapes?

But the dash is one, so probably one shape.

But the box has two shapes, so maybe it's showing the next two.

Wait — looking at other problems, this seems consistent.

Let’s go through all six.

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✔ Problem 1:

Sequence:
1. Pink Square
2. Purple Circle
3. Teal Star
4. Pink Square
→ ?

Pattern: Square → Circle → Star → Square → Circle → Star → ...

So after Square, next is Circle → Purple Circle

Option: 🟪 Circle and 🟩 Square → so the first is correct.

✔ Answer: Purple Circle

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✔ Problem 2:

Sequence:
1. Red Circle
2. Teal Star
3. Orange Square
4. Red Circle
→ ?

Shape: Circle → Star → Square → Circle → ?

So pattern: Circle → Star → Square → Circle → Star → Square → ...

Cycle of 3: Circle, Star, Square, repeat.

After Red Circle (4th), next should be Teal Star

Option: 🟩 Star and 🟨 Square → so Teal Star is the first.

✔ Answer: Teal Star

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✔ Problem 3:

Sequence:
1. Orange Star
2. Purple Square
3. Teal Circle
4. Orange Star
→ ?

Shape: Star → Square → Circle → Star → ?

So pattern: Star → Square → Circle → Star → Square → Circle → ...

After Orange Star, next is Purple Square

Option: 🟪 Square and 🟧 Star → so Purple Square is first.

✔ Answer: Purple Square

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✔ Problem 4:

Sequence:
1. Red Square
2. Orange Star
3. Pink Circle
4. Red Square
→ ?

Shape: Square → Star → Circle → Square → ?

So pattern: Square → Star → Circle → Square → Star → Circle → ...

After Red Square, next is Orange Star

Option: 🟧 Star and 🟩 Circle → so Orange Star is first.

✔ Answer: Orange Star

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✔ Problem 5:

Sequence:
1. Teal Circle
2. Purple Star
3. Orange Square
4. Teal Circle
→ ?

Shape: Circle → Star → Square → Circle → ?

Pattern: Circle → Star → Square → Circle → Star → Square → ...

After Teal Circle, next is Purple Star

Option: 🟩 Circle and 🟪 Star → so Purple Star is second.

Wait — the option has: Teal Circle and Purple Star

So the second shape in the option is Purple Star

But the sequence is:
1. Teal Circle
2. Purple Star
3. Orange Square
4. Teal Circle
5. ???

So next should be Purple Star → matches second shape in option.

So even though the option shows two shapes, we pick the correct one — Purple Star

✔ Answer: Purple Star

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✔ Problem 6:

Sequence:
1. Pink Star
2. Yellow Square
3. Teal Circle
4. Pink Star
→ ?

Shape: Star → Square → Circle → Star → ?

Pattern: Star → Square → Circle → Star → Square → Circle → ...

After Pink Star, next is Yellow Square

Option: 🟨 Square and 🟩 Star → so Yellow Square is first.

✔ Answer: Yellow Square

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✔ Final Answers:

| Problem | Next Shape | Reason |
|--------|-------------------|--------|
| 1 | Purple Circle | Pattern: Square → Circle → Star → (repeat) |
| 2 | Teal Star | Pattern: Circle → Star → Square → (repeat) |
| 3 | Purple Square | Pattern: Star → Square → Circle → (repeat) |
| 4 | Orange Star | Pattern: Square → Star → Circle → (repeat) |
| 5 | Purple Star | Pattern: Circle → Star → Square → (repeat) |
| 6 | Yellow Square | Pattern: Star → Square → Circle → (repeat) |

Each time, the pattern repeats every 3 shapes, and the colors match the earlier instance of the same shape.

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🎯 Summary:

For each row, identify the 3-shape repeating cycle (based on shape and color), then determine what comes next.

All patterns are cyclic with period 3.

✔ Answers:
1. Purple Circle
2. Teal Star
3. Purple Square
4. Orange Star
5. Purple Star
6. Yellow Square

You can now fill in the blanks using the correct shape from the given options.

Let me know if you'd like a visual version!