Repeating Patterns Worksheets - 15 Worksheets Library - Free Printable

Let's solve the "Repeating Patterns" worksheet step by step. The goal is to identify the repeating pattern in each row and draw the missing shapes to complete it.

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🔹 Row 1:

Given: △ ○ □ □ □ □ □ □
Wait — let's look carefully:

Actually, the first row shows:
△ ○ _ _ _ _ _ _

We need to find a repeating pattern. The first two shapes are:
- Triangle (△)
- Circle (○)

So, if this is a repeating pair, then the pattern is:
△ ○ → △ ○ → △ ○ → ...

So the completed row should be:
△ ○ △ ○ △ ○ △ ○

✔ Answer for Row 1: Fill in: △, ○, △, ○, △, ○

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🔹 Row 2:

Given: □ ◆ ◆ _ _ _ _ _
Shapes: Square, Diamond, Diamond

This seems like a three-part pattern? But only three shapes are shown.

Wait — let's check:
First shape: Square (□)
Second: Diamond (◆)
Third: Diamond (◆)

That’s not a clear repetition yet. Maybe it’s a two-shape pattern?

But the third one is another diamond. So maybe it's:
□ ◆ → □ ◆ → ... but we have □ ◆ ◆, which breaks that.

Alternatively, could it be a three-shape cycle? But only three are given.

Wait — perhaps it's a pattern of one square followed by two diamonds?

Let’s suppose the pattern is: □ ◆ ◆

Then the full pattern would repeat:
□ ◆ ◆ □ ◆ ◆ □ ◆ ◆ ...

So the sequence is:
1. □
2. ◆
3. ◆
4. □
5. ◆
6. ◆
7. □
8. ◆

So the row should be:
□ ◆ ◆ □ ◆ ◆ □ ◆

But wait — the original has □ ◆ ◆ _ _ _ _ _, so after the first three, we continue the pattern.

So next:
4. □
5. ◆
6. ◆
7. □
8. ◆

✔ Answer for Row 2: Fill in: □, ◆, ◆, □, ◆

Wait — there are 8 boxes total. Given: 3 filled → 5 empty.

So:
- Box 1: □
- Box 2: ◆
- Box 3: ◆
- Box 4: □
- Box 5: ◆
- Box 6: ◆
- Box 7: □
- Box 8: ◆

So fill: □, ◆, ◆, □, ◆

✔ Row 2 completed: □ ◆ ◆ □ ◆ ◆ □ ◆

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🔹 Row 3:

Given: ♡ ♡ △ _ _ _ _ _
Hearts, Hearts, Triangle

So:
1. ♡
2. ♡
3. △

Now, what’s the pattern? Could it be: ♡ ♡ △ → ♡ ♡ △ → ...

Yes! That makes sense — a three-shape repeating unit: ♡ ♡ △

So the full sequence:
1. ♡
2. ♡
3. △
4. ♡
5. ♡
6. △
7. ♡
8. ♡

So the missing shapes are:
Box 4: ♡
Box 5: ♡
Box 6: △
Box 7: ♡
Box 8: ♡

✔ Row 3: Fill in: ♡, ♡, △, ♡, ♡

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🔹 Row 4:

Given: ○ ○ ★ ★ _ _ _ _
Circle, Circle, Star, Star

So:
1. ○
2. ○
3. ★
4. ★

Pattern: ○ ○ ★ ★ → ○ ○ ★ ★ → ...

So the next four should be:
5. ○
6. ○
7. ★
8. ★

✔ Row 4: Fill in: ○, ○, ★, ★

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🔹 Row 5:

Given: △ □ ◆ _ _ _ _ _
Triangle, Square, Pentagon (or pentagon-like shape), blank

So:
1. △
2. □
3. ◆

This looks like a three-shape pattern: △ □ ◆

Repeat: △ □ ◆ △ □ ◆ △ □

So:
- 4: △
- 5: □
- 6: ◆
- 7: △
- 8: □

✔ Row 5: Fill in: △, □, ◆, △, □

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🔹 Row 6:

Given: ○ △ □ ★ _ _ _ _
Circle, Triangle, Square, Star

So:
1. ○
2. △
3. □
4. ★

Four different shapes. Likely a four-shape repeating pattern.

So:
○ △ □ ★ → ○ △ □ ★ → ...

Thus:
- 5: ○
- 6: △
- 7: □
- 8: ★

✔ Row 6: Fill in: ○, △, □, ★

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✔ Final Answers:

| Row | Pattern | Completed Sequence |
|-----|--------|-------------------|
| 1 | △ ○ | △ ○ △ ○ △ ○ △ ○ |
| 2 | □ ◆ ◆ | □ ◆ ◆ □ ◆ ◆ □ ◆ |
| 3 | ♡ ♡ △ | ♡ ♡ △ ♡ ♡ △ ♡ ♡ |
| 4 | ○ ○ ★ ★ | ○ ○ ★ ★ ○ ○ ★ ★ |
| 5 | △ □ ◆ | △ □ ◆ △ □ ◆ △ □ |
| 6 | ○ △ □ ★ | ○ △ □ ★ ○ △ □ ★ |

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📝 Instructions for Student:

For each row, identify the repeating unit (the smallest group of shapes that repeats). Then copy that unit until all boxes are filled.

Let me know if you'd like a printable version or visual drawing guide!