Complete the Patterns Worksheet - Trace and solve pattern sequences with shapes.

Let’s solve each pattern one by one. We’ll look at the shapes and colors, then figure out what comes next.

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Pattern 1:
🔴 🟠 🔴 🟠 🟠 → ? ?

We see: red diamond, orange circle, red diamond, orange circle, red diamond, orange circle.

So it’s alternating: diamond, circle, diamond, circle...

After the last orange circle, we need a red diamond, then an orange circle.

But in the worksheet, they’ve already drawn dashed outlines for those — so you just trace them!

✔ Answer for Pattern 1: Red diamond, then orange circle (already shown as dashed — just trace).

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Pattern 2:
🟣 ▶️ 🟣 ▶️ 🟣 ▶️ → ?

Purple square, yellow triangle pointing right, purple square, yellow triangle, purple square, yellow triangle.

It repeats every two shapes: [purple square, yellow triangle]

Next should be: purple square

✔ Answer for Pattern 2: Purple square

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Pattern 3:
🔵 🟪 🔵 🔵 → ?

Blue circle, pink square, pink square, blue circle, blue circle, pink square...

Let’s group them:

- First group: Blue circle + 2 pink squares
- Second group: 2 blue circles + 1 pink square? Hmm, not matching.

Wait — let’s count positions:

1. Blue circle
2. Pink square
3. Pink square
4. Blue circle
5. Blue circle
6. Pink square

Looks like it might be grouping in threes?

Group 1: Blue, Pink, Pink
Group 2: Blue, Blue, Pink
→ Maybe Group 3: Blue, Blue, Blue? But that doesn’t fit.

Alternative idea: Look at how many of each shape appear.

Actually, let’s try this:

Position 1: Blue
Position 2: Pink
Position 3: Pink
Position 4: Blue
Position 5: Blue
Position 6: Pink

Now look at position 7 — what would continue?

If we think of it as pairs:

(Blue, Pink), (Pink, Blue), (Blue, Pink) → then next should be (Pink, ?)

Wait — maybe it’s symmetric?

Another way: Let’s write the sequence again:

B P P B B P → ?

What if we split into two halves?

First three: B P P
Last three: B B P

Not obvious.

Try counting runs:

- One blue
- Two pinks
- Two blues
- One pink

Hmm… maybe the next is two blues? Or one blue?

Wait — perhaps it’s mirroring?

B P P | B B P → mirror would be P B B | P P B — no.

Let me try a different approach.

Look at the pattern from left to right:

Shape 1: Blue circle
Shape 2: Pink square
Shape 3: Pink square
Shape 4: Blue circle
Shape 5: Blue circle
Shape 6: Pink square

Notice: After the first “blue”, we have two pinks. Then after that, two blues, then one pink.

Maybe the number of same shapes is increasing? Not really.

Wait — here’s a better idea:

Let’s label the shapes with numbers based on their type:

Blue = B, Pink = P

Sequence: B, P, P, B, B, P

Now, what if we look at groups of 3:

Group 1: B, P, P
Group 2: B, B, P

In Group 1: 1B, 2P
In Group 2: 2B, 1P

So maybe Group 3: 3B, 0P? That doesn’t make sense.

Or maybe it’s alternating which color has more?

Alternatively, think of it as:

Start with 1 blue, then 2 pinks → total 3
Then 2 blues, then 1 pink → total 3
Then maybe 3 blues? But we only have space for one more shape.

Wait — the pattern ends at shape 6, and we need to fill shape 7.

Looking back: Positions 1–3: B,P,P
Positions 4–6: B,B,P

So position 7 should start the next group — which might be B,B,B? But we only need one.

Actually, let’s look at the transition between groups.

From end of group 1 (P) to start of group 2 (B) — changed.

End of group 2 (P) — so next should be B?

And since group 1 started with 1B, group 2 started with 2B, maybe group 3 starts with 3B? But again, only one spot.

Perhaps it’s simpler: The pattern is repeating every 3 shapes but shifting?

Wait — I think I found it!

Look:

Shapes 1–3: B, P, P
Shapes 4–6: B, B, P

Compare:

Pos 1: B → Pos 4: B
Pos 2: P → Pos 5: B
Pos 3: P → Pos 6: P

No clear shift.

Another idea: Count how many times each shape appears up to that point.

After 6 shapes:
Blues: positions 1,4,5 → 3 blues
Pinks: positions 2,3,6 → 3 pinks

Equal so far.

Maybe next is blue to break tie? Or pink?

This is getting too complicated for a kid’s worksheet.

Let me try visual symmetry.

Write it out:

Row: ● ■ ■ ● ● ■

What comes next?

If you look at it, maybe it’s building toward something.

Wait — here’s a thought: Maybe it’s grouped as:

● ■ ■
● ● ■
■ ■ ■ ← next?

But that would mean next is pink square.

Or maybe:

The first trio: 1 blue, 2 pinks
Second trio: 2 blues, 1 pink
Third trio: 3 blues? But we only have one slot.

I think I’m overcomplicating.

Let me check online or recall common patterns.

Actually, looking at similar worksheets, sometimes these are simple repetitions.

Wait — let’s list indices:

1: B
2: P
3: P
4: B
5: B
6: P

Now, compare 1 and 4: both B
2 and 5: P vs B — different
3 and 6: P vs P — same

Not helpful.

Another approach: Differences between consecutive shapes.

1→2: B to P (change)
2→3: P to P (same)
3→4: P to B (change)
4→5: B to B (same)
5→6: B to P (change)

So changes happen at steps 1-2, 3-4, 5-6 — every odd-to-even step? No.

Changes at transitions: 1-2, 3-4, 5-6 — that’s every other transition.

Transitions where change happens: between 1-2, 3-4, 5-6 — so next change would be 7-8, but we only care about 7.

At position 6: P
Previous was B (pos 5), so changed.

Before that, pos 4-5: B to B — no change.

Pos 3-4: P to B — change.

Pos 2-3: P to P — no change.

Pos 1-2: B to P — change.

So changes at 1-2, 3-4, 5-6 — all odd-numbered transitions.

Transition 6-7 would be even-numbered — so no change? So stay P?

That would mean pos 7 is also P.

Let’s test:

If pos 7 is P, then sequence: B,P,P,B,B,P,P

Does that make sense? Groups: BPP, BBP, P?? — not great.

Perhaps it's a palindrome? BPPBBP — reverse is PBBPPB — not same.

I recall that in some patterns, they use "ABBA" style.

Let me try this: Suppose the pattern is symmetric around the center.

Positions 1 to 6: B P P B B P

Center between 3 and 4.

Pos 1 and 6: B and P — different
Pos 2 and 5: P and B — different
Pos 3 and 4: P and B — different

Not symmetric.

Another idea: Maybe it's two interleaved sequences.

Odd positions: 1:B, 3:P, 5:B → B,P,B
Even positions: 2:P, 4:B, 6:P → P,B,P

So odd positions: B,P,B — next odd is 7, which should be P? Because B,P,B,P...

Even positions: P,B,P — next even would be B, but we're filling 7, which is odd.

So for odd positions: 1:B, 3:P, 5:B, 7:? — looks like alternating starting with B, so 7 should be P.

Yes! That makes sense.

Odd-indexed shapes: position 1,3,5,7: B, P, B, ?

Since it alternates: B, P, B, P,...

So position 7 should be pink square.

Similarly, even positions: 2,4,6: P, B, P — which is also alternating.

Perfect.

✔ Answer for Pattern 3: Pink square

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Pattern 4:
◀️ ▶️ ◀️ ▶️ ◀️ ▶️ → ?

Green left-pointing triangle, green right-pointing triangle, purple left-pointing, purple right-pointing, green left, green right...

Let’s list:

1. Green left
2. Green right
3. Purple left
4. Purple right
5. Green left
6. Green right

So it seems like pairs:

Pair 1: Green left, Green right
Pair 2: Purple left, Purple right
Pair 3: Green left, Green right

So it’s repeating every 4 shapes? Or every 2 pairs?

Actually, the color changes every two shapes.

Shapes 1-2: green
Shapes 3-4: purple
Shapes 5-6: green

So next pair (shapes 7-8) should be purple.

But we only need shape 7.

Shape 7 is the first of the next pair, so it should be purple left-pointing triangle.

Because:

- When color is green: left then right
- When color is purple: left then right
- Next color after green is purple (since it went green, purple, green, so next purple)

And within each color, it starts with left-pointing.

So shape 7: purple left-pointing triangle.

✔ Answer for Pattern 4: Purple left-pointing triangle

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Pattern 5:
◆ ▮ ○ ◆ ▮ ○ ◆ ▮ ○ → ?

Orange diamond, red rectangle, yellow oval, repeat.

Clearly repeating every 3 shapes: [diamond, rectangle, oval]

We have three full cycles: positions 1-3, 4-6, 7-9

Position 10 would be next, but the pattern shows up to position 9: ◆ ▮ ○ ◆ ▮ ○ ◆ ▮ ○

So after the last oval (position 9), the next should be the start of the next cycle: orange diamond

But wait — the worksheet shows 9 shapes, and we need to complete the pattern — probably meaning add the next one or two? Looking back at the image description, it says "complete the patterns", and for pattern 1 they had two blanks, others may have one.

In pattern 5, it ends with oval, and likely expects the next shape.

Since it's a repeating triplet, after oval comes diamond.

✔ Answer for Pattern 5: Orange diamond

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Now, let’s summarize all answers:

Pattern 1: Already provided as dashed — trace red diamond and orange circle.

Pattern 2: Purple square

Pattern 3: Pink square

Pattern 4: Purple left-pointing triangle

Pattern 5: Orange diamond

Final Answer:
Pattern 1: Trace the dashed red diamond and orange circle.
Pattern 2: Purple square
Pattern 3: Pink square
Pattern 4: Purple left-pointing triangle
Pattern 5: Orange diamond