Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Pattern worksheet for Grade 4 - Free Printable

Pattern worksheet for Grade 4

Educational worksheet: Pattern worksheet for Grade 4. Download and print for classroom or home learning activities.

JPG 1000×1497 130.4 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1108731
Show Answer Key & Explanations Step-by-step solution for: Pattern worksheet for Grade 4
Let's solve this Pattern Worksheet step by step.

We are given 5 shapes at the top:

1. Red Heart
2. Green Circle
3. Blue Hexagon
4. Purple Triangle
5. Orange Square

Each row has a sequence of shapes, and we need to determine which shape (from the five above) should go in the blank space to complete the pattern.

---

Row 1:


Sequence:
🟧 ▢ → 🟩 ○ → 🟧 ▢ → 🟩 ○ → 🟧 ▢ → ___

Pattern: Alternating orange square and green circle, starting with orange.

- Orange, Green, Orange, Green, Orange → Next should be Green Circle

Answer: Green Circle

---

Row 2:


Sequence:
🔵 🔷 → ❤️ → 🔴 △ → 🔵 🔷 → ___ → 🔴 △

Let’s write it clearly:
- Blue Hexagon
- Red Heart
- Purple Triangle
- Blue Hexagon
- ___
- Purple Triangle

So:
1. 🔵 🔷
2. ❤️
3. 🔴 △
4. 🔵 🔷
5. ___
6. 🔴 △

Looking at positions:
- Positions 1 and 4: Blue Hexagon → repeating every 3?
- Position 2: Heart
- Position 3: Triangle
- Position 6: Triangle

Wait — let's check the pattern again.

It seems like a repeating cycle of three:
🔵 🔷 → ❤️ → 🔴 △ → 🔵 🔷 → ❤️ → 🔴 △

So the pattern is:
[Blue Hexagon] → [Red Heart] → [Purple Triangle]
Repeats.

So after Blue Hexagon (position 4), next is Red Heart, then Purple Triangle.

So blank is position 5 → should be Red Heart

Answer: Red Heart

---

Row 3:


Sequence:
🔵 🔷 → ___ → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

Let’s list them:

1. 🔵 🔷
2. ___
3. 🟩 ○
4. 🔵 🔷
5. 🔵 🔷
6. 🟩 ○

Look at positions 1, 4, 5: all Blue Hexagons
Positions 3 and 6: Green Circles

But position 2 is missing.

Now look for a pattern.

From left:
- Pos 1: 🔵 🔷
- Pos 2: ?
- Pos 3: 🟩 ○
- Pos 4: 🔵 🔷
- Pos 5: 🔵 🔷
- Pos 6: 🟩 ○

Notice that from pos 4 to 5: two blue hexagons together, then green circle.

But earlier: 🔵 🔷 → ? → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

So maybe the pattern is:
🔵 🔷 → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

But wait — what about the second element?

Try grouping:
- Group 1: 🔵 🔷 → ? → 🟩 ○ → (this might be one group)
- Then 🔵 🔷 → 🔵 🔷 → 🟩 ○ → (next)

Alternatively, could it be alternating between blue hexagon and green circle, but with a repeat?

Wait — perhaps the pattern is:
🔵 🔷 → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

But that would mean:
- After 🟩 ○ comes 🔵 🔷 → yes
- Then another 🔵 🔷 → so two in a row
- Then 🟩 ○

So what comes before 🟩 ○? It must be 🔵 🔷

But we have:
- Pos 1: 🔵 🔷
- Pos 2: ?
- Pos 3: 🟩 ○
- Pos 4: 🔵 🔷
- Pos 5: 🔵 🔷
- Pos 6: 🟩 ○

So if pos 3 is 🟩 ○, and pos 4 is 🔵 🔷, then pos 2 must be something that leads into 🟩 ○.

Maybe the pattern is:
🔵 🔷 → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

That suggests the pattern is:
Blue Hexagon → Green Circle → Blue Hexagon → Blue Hexagon → Green Circle

But that doesn’t make sense as a clean repeat.

Wait — perhaps there's a different structure.

Another idea: Maybe it's two blue hexagons followed by one green circle, repeated?

But first we have: 🔵 🔷 → ? → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

So if we assume the pattern is:
- 🔵 🔷 → 🔵 🔷 → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

Then the full sequence should be:
🔵 🔷 → 🔵 🔷 → 🟩 ○ → 🔵 🔷 → 🔵 🔷 → 🟩 ○

But in the worksheet, the first shape is 🔵 🔷, then blank, then 🟩 ○, then 🔵 🔷, etc.

So to fit the pattern [Blue Hexagon, Blue Hexagon, Green Circle] repeating, the sequence would be:

- Pos 1: 🔵 🔷
- Pos 2: 🔵 🔷
- Pos 3: 🟩 ○
- Pos 4: 🔵 🔷
- Pos 5: 🔵 🔷
- Pos 6: 🟩 ○

Yes! That matches perfectly.

So the blank (pos 2) must be Blue Hexagon

Answer: Blue Hexagon

---

Row 4:


Sequence:
🟧 ▢ → ❤️ → ❤️ → ___ → ❤️ → ❤️

So:
1. Orange Square
2. Red Heart
3. Red Heart
4. ___
5. Red Heart
6. Red Heart

So far:
- Pos 1: Orange Square
- Pos 2–3: Two Hearts
- Pos 5–6: Two Hearts

So likely the pattern is:
Orange Square → Red Heart → Red Heart → Orange Square → Red Heart → Red Heart

Because:
- Pos 1: Orange
- Pos 2–3: Hearts
- Then blank (pos 4) → should be Orange Square
- Then pos 5–6: Hearts

Yes, that makes sense.

So the blank (pos 4) is Orange Square

Answer: Orange Square

---

Row 5:


Sequence:
___ → 🟩 ○ → 🔴 △ → 🟧 ▢ → 🔴 △ → 🔵 🔷

So:
1. ___
2. 🟩 ○
3. 🔴 △
4. 🟧 ▢
5. 🔴 △
6. 🔵 🔷

We need to find the pattern.

Let’s list known:
- Pos 2: Green Circle
- Pos 3: Purple Triangle
- Pos 4: Orange Square
- Pos 5: Purple Triangle
- Pos 6: Blue Hexagon

Now, notice:
- Pos 3 and 5: both Purple Triangle
- Pos 2: Green Circle
- Pos 4: Orange Square
- Pos 6: Blue Hexagon

Is there a repeating sequence?

Try looking at pairs:
- Pos 2–3: Green Circle → Purple Triangle
- Pos 4–5: Orange Square → Purple Triangle
- Pos 6: Blue Hexagon

Not matching.

Alternative: Look at the entire sequence.

Could it be:
[Green Circle → Purple Triangle → Orange Square → Purple Triangle → Blue Hexagon]

But that’s not symmetric.

Wait — maybe the pattern is alternating between two sequences?

Or perhaps it's a cycle of four?

Let’s try to see if it's:
Green → Purple → Orange → Purple → Blue

But no clear repetition.

Wait — what if the pattern is repeating every 3 elements?

But only 6 elements.

Wait — maybe it's:
- Green Circle → Purple Triangle → Orange Square → Purple Triangle → Blue Hexagon

No.

Alternatively, think about symmetry.

Another idea: Could it be a reverse pattern?

Let’s suppose the pattern is:
[Blue Hexagon → Green Circle → Purple Triangle → Orange Square → Purple Triangle → ???]

But we start with blank.

Wait — maybe the pattern is:
Blue Hexagon → Green Circle → Purple Triangle → Orange Square → Purple Triangle → Blue Hexagon

But that would mean:
- Pos 1: Blue Hexagon
- Pos 2: Green Circle
- Pos 3: Purple Triangle
- Pos 4: Orange Square
- Pos 5: Purple Triangle
- Pos 6: Blue Hexagon

Yes! That matches:
- Pos 2: Green Circle
- Pos 3: Purple Triangle
- Pos 4: Orange Square
- Pos 5: Purple Triangle
- Pos 6: Blue Hexagon

So the missing first shape (pos 1) must be Blue Hexagon

Answer: Blue Hexagon

---

Final Answers:



| Row | Missing Shape |
|-----|----------------------|
| 1 | Green Circle |
| 2 | Red Heart |
| 3 | Blue Hexagon |
| 4 | Orange Square |
| 5 | Blue Hexagon |

---

Summary of Solutions:



1. Green Circle
2. Red Heart
3. Blue Hexagon
4. Orange Square
5. Blue Hexagon

You can now paste the correct shapes from the top row into the blanks accordingly.

Let me know if you'd like a visual representation or explanation for any specific row!
Parent Tip: Review the logic above to help your child master the concept of 4th grade math patterns worksheet.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all 4th grade math patterns worksheet)

Patterns. Mathematics Worksheets and Study Guides Fourth Grade.
Number Pattern Worksheets
50+ Number Patterns worksheets for 4th Grade on Quizizz | Free ...
Number Pattern Worksheets
Number Patterns - 4th Grade Math - Printable & Digital - 4.OA.C.5
Patterns Worksheets | Dynamically Created Patterns Worksheets
Number Patterns Worksheet for 3rd - 4th Grade | Lesson Planet
determining pattern rules Worksheets
Patterning Worksheets Picture and Number Patterns
Patterns. Mathematics Worksheets and Study Guides Fourth Grade.