Making Patterns Worksheet | Key Stage 1 PDF Geometry Worksheets - Free Printable

Let's solve the "Making Patterns" worksheet step by step, explaining each part clearly.

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🔷 Section A: Use these shapes to finish the repeating patterns.

We are given three basic shapes:
- 🟡 Circle (Yellow)
- 🟩 Triangle (Green)
- 🔴 Square (Red)

We need to identify the pattern and fill in the missing shapes.

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#### Pattern 1:
🟡 🟡 🔴 🟡 🟡 🔴 🟡 🟡 🔴 _ _ _ _ _ _ _

Look at the sequence:

- 🟡 🟡 🔴 → This repeats:
- Positions: 1–3: 🟡🟡🔴
- 4–6: 🟡🟡🔴
- 7–9: 🟡🟡🔴

So the pattern is 🟡🟡🔴, repeating every 3 shapes.

After the last 🔴 (position 9), we continue:
- 10: 🟡
- 11: 🟡
- 12: 🔴
- 13: 🟡
- 14: 🟡
- 15: 🔴

✔ Answer: 🟡 🟡 🔴 🟡 🟡 🔴

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#### Pattern 2:
🟩 🟡 🔴 🔴 🟩 🟡 🔴 _ _ _ _ _ _ _

Break it down:
- 🟩 🟡 🔴 🔴 → Then again 🟩 🟡 🔴

Wait — let’s list them:

1. 🟩
2. 🟡
3. 🔴
4. 🔴
5. 🟩
6. 🟡
7. 🔴

Now compare:
- First group: 🟩 🟡 🔴 🔴
- Second group starts with 🟩 🟡 🔴 → so it seems like the pattern might be 🟩 🟡 🔴 🔴 repeating?

But after position 7, we have only one shape left from the second cycle.

Wait — let's recheck:
- Positions 1–4: 🟩 🟡 🔴 🔴
- Positions 5–7: 🟩 🟡 🔴

That suggests the pattern is 🟩 🟡 🔴 🔴, but then it restarts as 🟩 🟡 🔴? That doesn’t match.

Wait — maybe it's 🟩 🟡 🔴 🔴 and then repeats?

But positions 5–7: 🟩 🟡 🔴 → that's not matching.

Alternative idea: Maybe the pattern is 🟩 🟡 🔴 🔴, and then it repeats?

Then:
- 1–4: 🟩 🟡 🔴 🔴
- 5–8: 🟩 🟡 🔴 🔴
- But position 5 is 🟩, 6 is 🟡, 7 is 🔴 → so far okay
- So position 8 should be 🔴

But currently, position 7 is 🔴, and there’s no 8th shape yet.

Wait — the sequence is:
1. 🟩
2. 🟡
3. 🔴
4. 🔴
5. 🟩
6. 🟡
7. 🔴

So far:
- Group 1: 🟩 🟡 🔴 🔴
- Group 2: 🟩 🟡 🔴 → incomplete

But if the pattern is 🟩 🟡 🔴 🔴, then after 🟩 🟡 🔴 comes 🔴.

So next should be 🔴, then repeat.

So:
- 8: 🔴
- 9: 🟩
- 10: 🟡
- 11: 🔴
- 12: 🔴
- 13: 🟩
- 14: 🟡
- 15: 🔴

But wait — the pattern could also be 🟩 🟡 🔴 repeated twice? No, because the first block has two 🔴.

Let’s count the blocks.

Actually, look at the full sequence:

🟩 🟡 🔴 🔴 🟩 🟡 🔴 _ _ _ _ _ _ _

So:
- First four: 🟩 🟡 🔴 🔴
- Next three: 🟩 🟡 🔴

Hmm. Is this a repeating unit of 4: 🟩 🟡 🔴 🔴 ?

Then:
- 1–4: 🟩 🟡 🔴 🔴
- 5–8: 🟩 🟡 🔴 🔴
- So position 5: 🟩 ✔
- 6: 🟡 ✔
- 7: 🔴 ✔
- 8: 🔴 → should be next

So missing:
- 8: 🔴
- 9: 🟩
- 10: 🟡
- 11: 🔴
- 12: 🔴
- 13: 🟩
- 14: 🟡
- 15: 🔴

✔ Answer: 🔴 🟩 🟡 🔴 🔴 🟩 🟡 🔴

But wait — the pattern is 🟩 🟡 🔴 🔴, repeating every 4.

So after 🟩 🟡 🔴 (positions 5–7), next is 🔴 (position 8), then 🟩 🟡 🔴 🔴 again.

Yes.

✔ Final answer for Pattern 2: 🔴 🟩 🟡 🔴 🔴 🟩 🟡 🔴

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#### Pattern 3:
🟩 🟩 🔴 🟩 _ 🔴 🟩 🟩 _ _ 🟩 _ 🔴

Let’s list positions:

1. 🟩
2. 🟩
3. 🔴
4. 🟩
5. ?
6. 🔴
7. 🟩
8. 🟩
9. ?
10. ?
11. 🟩
12. ?
13. 🔴

Look for repeating units.

Try grouping:

- 1–3: 🟩 🟩 🔴
- 4–6: 🟩 ? 🔴 → likely 🟩 🟩 🔴
- 7–9: 🟩 🟩 ? → likely 🟩 🟩 🔴
- 10–12: ? ? 🟩 → then 13: 🔴

Wait — let’s check:

If the pattern is 🟩 🟩 🔴, then:

- 1–3: 🟩 🟩 🔴 ✔
- 4–6: 🟩 🟩 🔴 → so position 5 = 🟩, position 6 = 🔴 ✔
- 7–9: 🟩 🟩 🔴 → position 7 = 🟩 ✔, 8 = 🟩 ✔, 9 = 🔴
- 10–12: 🟩 🟩 🔴 → 10 = 🟩, 11 = 🟩, 12 = 🔴
- 13 = 🔴 → matches the end

But position 11 is already 🟩 ✔

So:

- Position 5: 🟩
- Position 9: 🔴
- Position 10: 🟩
- Position 12: 🔴

Wait — but position 12 is blank, and position 13 is 🔴, so position 12 should be the second 🟩 in the triple?

No — pattern: 🟩 🟩 🔴

So:
- 10: 🟩
- 11: 🟩
- 12: 🔴
- 13: 🔴 → wait, can't be — pattern ends with 🔴, but position 13 is 🔴, which is fine.

Wait — position 13 is already given as 🔴, so it's the start of a new group?

Wait — position 11 is 🟩, 12 is blank, 13 is 🔴

So:
- 11: 🟩
- 12: 🟩
- 13: 🔴

But position 13 is already 🔴, so yes.

So the pattern is 🟩 🟩 🔴, repeating.

So:
- Position 5: 🟩
- Position 9: 🔴
- Position 10: 🟩
- Position 12: 🟩

Wait — but position 12 is blank, and position 13 is 🔴 → so position 12 must be 🟩 (to make 🟩 🟩 🔴)

But position 11 is 🟩, so 11–13: 🟩 🟩 🔴 → yes.

So:

- 5: 🟩
- 9: 🔴
- 10: 🟩
- 12: 🟩

✔ Answer: 🟩, 🔴, 🟩, 🟩

So fill in:
- 5: 🟩
- 9: 🔴
- 10: 🟩
- 12: 🟩

Wait — position 12 is blank, and position 13 is 🔴, so 12 must be 🟩.

Yes.

✔ Final answer: 🟩, 🔴, 🟩, 🟩

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#### Can you make your own repeating pattern using the same shapes?

This is open-ended. For example:

🟡 🟩 🔴 🟡 🟩 🔴 🟡 🟩 🔴 ...

Or any repeating sequence.

Example: 🟡 🟩 🟩 🔴 🟡 🟩 🟩 🔴 ...

Just ensure it repeats.

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🔷 Section B: Choose what comes next

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#### 1) Pattern: 💗 😊 💗 😊 💗 _ _ _

Sequence: 💗 😊 💗 😊 💗 → alternating heart and smiley

So pattern: 💗 😊 (repeat)

Next should be: 😊

Then 💗, then 😊

So after 💗, next is 😊

Options:
a) 💗 😊 💗 → starts with 💗 — wrong
b) 😊 💗 😊 → starts with 😊 — correct
c) 😊 💗 💗 → wrong

✔ Answer: b) 😊 💗 😊

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#### 2) Pattern: 🟧 🔵 🔵 🟧 🟧 _ _ _

Sequence:
1. 🟧
2. 🔵
3. 🔵
4. 🟧
5. 🟧
6. ?
7. ?
8. ?

Look at groups:

- 1–3: 🟧 🔵 🔵
- 4–6: 🟧 🟧 ? → not matching

Wait — maybe it's 🟧 🔵 🔵, then 🟧 🟧 ? — doesn't fit.

Alternatively, look at positions:

1. 🟧
2. 🔵
3. 🔵
4. 🟧
5. 🟧
6. ?
7. ?
8. ?

Maybe pattern is 🟧 🔵 🔵 🟧 🟧 🔵 🔵 🟧 🟧 ...?

Wait — try grouping differently.

Another idea: perhaps it's 🟧 🔵 🔵, then 🟧 🟧, but that’s inconsistent.

Wait — maybe the pattern is 🟧 🔵 🔵 🟧 🟧 🔵 🔵 🟧 🟧?

But let’s see:

- 1: 🟧
- 2: 🔵
- 3: 🔵
- 4: 🟧
- 5: 🟧
- 6: ?
- 7: ?
- 8: ?

What if the pattern is 🟧 🔵 🔵 🟧 🟧 🔵 🔵 🟧 🟧?

Then:
- 1: 🟧
- 2: 🔵
- 3: 🔵
- 4: 🟧
- 5: 🟧
- 6: 🔵
- 7: 🔵
- 8: 🟧

So next three: 🔵 🔵 🟧

Check options:

a) 🟧 🔵 🔵 → starts with 🟧 — wrong
b) 🔵 🟧 🔵 → starts with 🔵, then 🟧 — not matching
c) 🔵 🔵 🟧 → yes! Matches our prediction

✔ Answer: c) 🔵 🔵 🟧

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#### 3) Pattern: 🔵 🔵 🟩 🔵 🟩 🔵 🔵 🟩 🔵 _ _ _

List:
1. 🔵
2. 🔵
3. 🟩
4. 🔵
5. 🟩
6. 🔵
7. 🔵
8. 🟩
9. 🔵
10. ?
11. ?
12. ?

Look for repetition.

Try grouping:

Group 1: 🔵 🔵 🟩 → positions 1–3
Group 2: 🔵 🟩 🔵 → positions 4–6
Group 3: 🔵 🔵 🟩 → positions 7–9
Then position 10: ?

Wait — group 1: 🔵 🔵 🟩
Group 2: 🔵 🟩 🔵
Group 3: 🔵 🔵 🟩
So it alternates between two types?

But group 1 and 3 are same: 🔵 🔵 🟩
Group 2: 🔵 🟩 🔵

Then next should be group 2: 🔵 🟩 🔵

So after 🔵 (position 9), next:
- 10: 🟩
- 11: 🔵
- 12: ? → wait, but we need only next three?

Wait — the question is: choose what comes next.

The pattern is:
🔵 🔵 🟩 🔵 🟩 🔵 🔵 🟩 🔵 _ _ _

So after 🔵 (pos 9), what?

Let’s write all:

1. 🔵
2. 🔵
3. 🟩
4. 🔵
5. 🟩
6. 🔵
7. 🔵
8. 🟩
9. 🔵
10. ?
11. ?
12. ?

Now look at positions 1–3: 🔵 🔵 🟩
4–6: 🔵 🟩 🔵
7–9: 🔵 🔵 🟩
So it's alternating between:

- Type A: 🔵 🔵 🟩
- Type B: 🔵 🟩 🔵

So:
- 1–3: A
- 4–6: B
- 7–9: A
- 10–12: B → 🔵 🟩 🔵

So:
- 10: 🔵
- 11: 🟩
- 12: 🔵

Now check options:

a) 🟩 🔵 🟩 → starts with 🟩 — wrong
b) 🔵 🟩 🔵 → yes!
c) 🔵 🔵 🟩 → that’s type A — but we expect type B

✔ Answer: b) 🔵 🟩 🔵

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✔ Final Answers Summary

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Section A:

1. 🟡 🟡 🔴 🟡 🟡 🔴
2. 🔴 🟩 🟡 🔴 🔴 🟩 🟡 🔴
3. 🟩, 🔴, 🟩, 🟩 (positions 5, 9, 10, 12)

> Fill in:
> - Pos 5: 🟩
> - Pos 9: 🔴
> - Pos 10: 🟩
> - Pos 12: 🟩

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Section B:

1. b) 😊 💗 😊
2. c) 🔵 🔵 🟧
3. b) 🔵 🟩 🔵

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✔ Bonus: Make your own pattern!

Example: 🟡 🟩 🔴 🟡 🟩 🔴 🟡 🟩 🔴 ...

Or: 🟡 🟡 🟩 🟡 🟡 🟩 ...

Any repeating sequence using the three shapes is valid.

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