Math worksheet for solving one-step equations to reveal a hidden picture.

Let's solve this "Hidden Picture" worksheet step by step.

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🔍 Understanding the Task

This is a color-by-number activity where you:

1. Solve simple one-step equations.
2. Match the answer to a color based on the key.
3. Color in all the squares with that number using the corresponding color.
4. After coloring, a hidden picture will emerge.

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🎨 Step 1: Understand the Color Key

We are given three boxes with equations and colors:

#### 🔴 Red (Dark Pink)
- `5 + 2 = 7` → Color 7 red
- `4 - 1 = 3` → Color 3 red
- `3 x 3 = 9` → Color 9 red

Wait — this seems inconsistent. Let's look carefully.

Actually, each color corresponds to a number, not the equation result directly. But here's the pattern:

Each equation has a result, and that result tells you what number to color with that color.

So let’s re-express the key properly:

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✔ Color Key Interpretation

| Color | Equation | Answer | So: Color this number |
|-------------|------------------|--------|----------------------------|
| 🟥 Red | 5 + 2 = ? | 7 | Color 7 → Red |
| 🔵 Blue | 2 × 3 = ? | 6 | Color 6 → Blue |
| ⬛ Black | 8 ÷ 2 = ? | 4 | Color 4 → Black |
| 🟡 Light Pink | 3 × 3 = ? | 9 | Color 9 → Light Pink |
| 💜 Magenta | 5 - 4 = ? | 1 | Color 1 → Magenta |
| 🟦 Dark Blue | 2 + 3 = ? | 5 | Color 5 → Dark Blue |
| 🟨 Light Pink (again) | 10 ÷ 5 = ? | 2 | Color 2 → Light Pink |

Wait — there's a problem: Light Pink appears twice.

Let’s list all equations clearly:

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🔤 Full Color Code

| Color | Equation | Result | Color Number |
|------------------|----------------|--------|--------------|
| 🟥 Dark Red | 5 + 2 = ? | 7 | → 7 = Dark Red |
| 🔵 Blue | 2 × 3 = ? | 6 | → 6 = Blue |
| ⬛ Black | 8 ÷ 2 = ? | 4 | → 4 = Black |
| 🟡 Light Pink | 3 × 3 = ? | 9 | → 9 = Light Pink |
| 💜 Magenta | 5 - 4 = ? | 1 | → 1 = Magenta |
| 🟦 Dark Blue | 2 + 3 = ? | 5 | → 5 = Dark Blue |
| 🟨 Light Pink? | 10 ÷ 5 = ? | 2 | → 2 = Light Pink? |

But wait — both 3×3=9 and 10÷5=2 are assigned to light pink, but different numbers.

That suggests two different numbers should be colored light pink?

No — actually, look at the boxes:

- First box:
- 🟥 5+2=7 → 7
- 🔵 2×3=6 → 6
- ⬛ 8÷2=4 → 4

- Second box:
- 🟥 4−1=3 → 3
- 🟡 3×3=9 → 9
- ⬛ 8+0=8 → 8

- Third box:
- 🟦 2+3=5 → 5
- 🟡 10÷5=2 → 2
- 💜 5−4=1 → 1

Now we see: the same color can appear multiple times, so we need to assign each number to a color.

Let’s compile the final color-to-number mapping:

| Number | Color | Reason (from equation) |
|--------|-------------|-------------------------|
| 7 | 🟥 Dark Red | 5+2=7 |
| 6 | 🔵 Blue | 2×3=6 |
| 4 | ⬛ Black | 8÷2=4 |
| 3 | 🟥 Dark Red | 4−1=3 |
| 9 | 🟡 Light Pink | 3×3=9 |
| 8 | ⬛ Black | 8+0=8 |
| 5 | 🟦 Dark Blue | 2+3=5 |
| 2 | 🟡 Light Pink | 10÷5=2 |
| 1 | 💜 Magenta | 5−4=1 |

Wait! Now we have conflicts:

- Number 7 → 🟥 (from 5+2)
- Number 3 → 🟥 (from 4−1)
- So both 3 and 7 are red?
- Similarly, 9 and 2 are both light pink?
- 4 and 8 are both black?

That makes sense — each color represents multiple numbers.

So the correct interpretation is:

> Each color corresponds to one or more numbers based on the equations.

Let’s group by color:

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✔ Final Color Mapping

| Color | Numbers That Get This Color | From Equations |
|---------------|-----------------------------|----------------|
| 🟥 Dark Red | 7, 3 | 5+2=7, 4−1=3 |
| 🔵 Blue | 6 | 2×3=6 |
| ⬛ Black | 4, 8 | 8÷2=4, 8+0=8 |
| 🟡 Light Pink | 9, 2 | 3×3=9, 10÷5=2 |
| 🟦 Dark Blue | 5 | 2+3=5 |
| 💜 Magenta | 1 | 5−4=1 |

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🧩 Step 2: Identify What to Color

Now go through the grid and color each number according to the above.

We’ll now describe how the hidden picture forms.

But since we can’t physically color here, I'll analyze the grid to find patterns.

Let’s scan the grid:

```
Row 1: 2 2 6 6 6 6 6 6 6 6 6 6 6 2 2
Row 2: 2 7 2 6 6 6 6 6 6 6 6 6 2 7 2
Row 3: 2 7 7 2 6 6 6 6 6 6 6 6 2 7 7 2
Row 4: 2 7 7 2 6 6 6 6 6 6 6 6 2 7 7 2
Row 5: 5 2 3 3 2 6 6 6 6 6 6 2 3 3 2 5
Row 6: 5 5 2 3 9 9 9 9 9 9 9 3 2 5 5 5
Row 7: 5 5 5 9 9 9 9 9 9 9 9 9 5 5 5 5
Row 8: 5 5 5 9 9 9 9 9 9 9 9 9 5 5 5 5
Row 9: 5 5 9 9 4 9 9 9 9 4 9 9 9 5 5 5
Row 10: 5 9 9 9 4 4 9 9 9 4 4 9 9 9 5
Row 11: 5 9 9 9 9 9 9 1 9 9 9 9 9 9 5
Row 12: 5 9 9 9 9 9 9 9 9 9 9 9 9 9 5
Row 13: 5 5 9 9 9 8 9 9 9 8 9 9 9 5 5
Row 14: 5 5 5 9 9 9 8 8 8 9 9 9 5 5 5
Row 15: 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5
```

Let’s assign colors:

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🎨 Color Assignment per Number

| Number | Color |
|--------|---------------|
| 1 | 💜 Magenta |
| 2 | 🟡 Light Pink |
| 3 | 🟥 Dark Red |
| 4 | ⬛ Black |
| 5 | 🟦 Dark Blue |
| 6 | 🔵 Blue |
| 7 | 🟥 Dark Red |
| 8 | ⬛ Black |
| 9 | 🟡 Light Pink |

Note: 3 and 7 → both 🟥 (dark red)
2 and 9 → both 🟡 (light pink)
4 and 8 → both ⬛ (black)

---

🔍 Analyze the Grid for Patterns

Let’s look for clusters.

#### 🔵 Blue (6): Appears mostly in middle columns, rows 1–5.

- Rows 1–4: many 6s in center
- Row 5: 6s from column 6–11
- Then disappears

→ Likely part of a horizontal bar or rectangle

#### 🟡 Light Pink (2 and 9):

- 2s: edges of grid, especially corners and sides
- 9s: large block in center (rows 6–14), columns 4–11

→ The 9s form a big rectangle in the center

#### 🟥 Dark Red (3 and 7):

- 3s: row 5, columns 3–4; row 6, column 4
- 7s: row 2–4, columns 2–3

→ Looks like eyes or small features

#### ⬛ Black (4 and 8):

- 4s: row 9, col 5; row 10, cols 5–6
- 8s: row 13–14, columns 6–8

→ Small blocks, possibly nose or mouth

#### 🟦 Dark Blue (5):

- All around the border: top, bottom, left, right
- Forms a frame

#### 💜 Magenta (1):

- Only one cell: row 11, column 8

→ Probably a dot, like a pupil or dot

---

🖼️ Reconstructing the Hidden Picture

Let’s interpret:

- The outer edge is filled with 5s → 🟦 Dark Blue frame
- Inside, 9s dominate center → 🟡 Light Pink (large central area)
- Around it, 6s → 🔵 Blue → maybe a border inside the blue frame
- 2s on outer edges → also light pink → might be corners or accents
- 3s and 7s → dark red → possibly eyes
- 4s and 8s → black → mouth or nose
- 1 → magenta → center dot

Wait — let’s try to visualize:

- The blue frame (5) surrounds everything
- Inside, light pink (2 and 9) fills most of the center
- Blue (6) forms a horizontal band across the top-middle
- Dark red (3 and 7) near top-left and top-right → could be eyes
- Black (4 and 8) in lower center → mouth
- Magenta (1) at center → pupil

But wait — look at row 11: only one 1 at column 8 → likely a dot.

Also, row 13–14: 8s at columns 6–8 → forming a U shape → like a smile

And row 9–10: 4s → two dots → eyes?

Wait — let’s map it better.

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🧠 Insight: It’s a Smiley Face!

Yes — this is a classic hidden smiley face puzzle.

Let’s confirm:

- Frame: Dark blue (5) → outer border → outline of face
- Face fill: Light pink (2 and 9) → inside the face
- Eyes: Two 3s and 7s near top-left and top-right → but wait, 3s are in row 5, col 3–4 → too low

Wait — look again.

Actually:

- Eyes: Look at row 5: 3,3 → columns 3–4 → two 3s
- And row 5: 2,3 → no

But row 6: 2,3,9,9,... → not symmetric

Wait — better idea:

Look at row 11: has a 1 at column 8 → center

Then row 13: 8s at col 6–8 → "U" shape → mouth

And row 9–10: 4s → 4 is black → two dots → eyes?

Wait — 4s are at:
- Row 9, col 5 → one
- Row 10, col 5 and 6 → two

So three black dots — maybe not eyes.

Wait — perhaps the eyes are made of 3s and 7s?

But 3s are at:
- Row 5, col 3–4 → two 3s
- Row 6, col 4 → one 3
- Row 5, col 3–4: 3,3 → yes

But they’re not symmetric.

Wait — let’s check symmetry.

The grid is 15x15, symmetric.

Let’s focus on center.

Center is row 8, col 8.

Now, look at row 11, col 8 → 1 → magenta → dot

Then row 13–14, columns 6–8 → 8s → black → U-shape → mouth

And row 5–6, columns 3–4 → 3s → dark red → maybe eyebrows?

But eyes?

Wait — row 13–14, columns 6–8 → 8s → mouth

What about eyes?

Look at row 9–10, columns 5–6 → 4s → black → two dots → could be eyes

But 4s are at:
- Row 9, col 5 → 4
- Row 10, col 5 → 4
- Row 10, col 6 → 4

Not symmetric.

Wait — look at row 13, columns 6–8 → 8s → black → mouth

Row 14, columns 7–8 → 8s → but not symmetric

Wait — row 13: 5 5 9 9 9 8 9 9 9 8 9 9 9 5 5 → so 8s at col 6 and 10

Wait — col 6 and 10 → not symmetric

Wait — col 6 and 10 → positions 6 and 10 → distance from center?

Center is col 8 → so col 6 is 2 left, col 10 is 2 right → symmetric!

So:
- Row 13: col 6 and 10 → 8
- Row 14: col 7 and 9 → 8

So:
- Row 13: 8 at col 6 and 10 → two dots
- Row 14: 8 at col 7 and 9 → two dots
- Row 15: 9s everywhere

So the 8s form a smile?

But wait — row 13: col 6 and 10 → far apart

Then row 14: col 7 and 9 → closer

So:
- Row 13: 8 at col 6 and 10 → wide
- Row 14: 8 at col 7 and 9 → narrow
- Row 15: no 8s

So it looks like a U-shaped smile?

But the 8s are only at:
- Row 13: col 6 and 10
- Row 14: col 7 and 9

So:
- Col 6: row 13
- Col 7: row 14
- Col 8: none
- Col 9: row 14
- Col 10: row 13

So it’s not connected — two separate lines?

Wait — no, look at row 13:
- Col 6: 8
- Col 7: 9
- Col 8: 9
- Col 9: 9
- Col 10: 8

So only col 6 and 10 have 8s in row 13

Row 14:
- Col 6: 9
- Col 7: 8
- Col 8: 8
- Col 9: 8
- Col 10: 9

So row 14: col 7,8,9 → 8s → three 8s

Ah! So:
- Row 13: 8s at col 6 and 10 → two dots
- Row 14: 8s at col 7,8,9 → a line

So together, it forms a curved smile?

But it’s not continuous.

Wait — perhaps the mouth is made of 8s in row 14: col 7–9 → a horizontal line

And eyes are elsewhere.

Let’s look at row 11, col 8 → 1 → magenta → dot → pupil

And row 5–6, columns 3–4 → 3s → dark red → maybe eyebrows?

But still not clear.

Wait — perhaps the face is inverted?

Another idea: the hidden picture is a cat or animal?

But let’s think differently.

Wait — look at row 6–8, columns 4–11 → full of 9s → light pink → body

Then row 5: 5 2 3 3 2 6 6 6 6 6 6 2 3 3 2 5 → so 3s at col 3–4 and 13–14 → ears?

And row 4–5: 7s at col 2–3 and 13–14 → ears

And row 11, col 8 → 1 → nose

And row 14, col 7–9 → 8s → mouth

And row 13, col 6 and 10 → 8s → whiskers?

But 8s are black → could be whiskers.

But then eyes?

Wait — perhaps the eyes are the 3s in row 5, col 3–4 and 13–14

And 7s in row 2–4, col 2–3 and 13–14 → eyebrows

But 7s are red, same as 3s.

So overall:

- Face outline: dark blue (5) → outer border
- Face fill: light pink (2 and 9) → inside
- Ears: dark red (3 and 7) at top corners
- Nose: magenta (1) at center
- Mouth: black (8s) in row 14, col 7–9 → horizontal line
- Whiskers: black (8s) at row 13, col 6 and 10 → two dots

But it's not a perfect match.

Wait — another possibility: the hidden picture is a butterfly?

But unlikely.

Perhaps it's a simple face.

Let’s try to draw it roughly.

After analyzing, the most likely hidden picture is a smiley face with:

- Outline: dark blue (5) → border
- Face: light pink (2,9) → fill
- Eyes: two 3s at row 5, col 3–4 and 13–14? No, not symmetric.

Wait — row 5: col 3–4 → 3,3
- row 5: col 13–14 → 3,3 → yes! Symmetric

And row 5: col 3–4 and 13–14 → both 3s → eyes

And row 6: col 4 → 3 → but not symmetric

But row 5 has 3,3 at col 3–4 and 13–14 → two pairs → eyes

Then row 11, col 8 → 1 → nose

Then row 14, col 7–9 → 8s → mouth

And row 13, col 6 and 10 → 8s → whiskers

But 8s are black → could be mouth and whiskers.

But mouth is usually a curve.

Alternatively, the mouth is the 8s in row 14 → three in a row → straight mouth.

So final interpretation:

✔ Hidden Picture: A Smiley Face

- Outline: Dark blue (5) — border
- Face: Light pink (2,9) — fill
- Eyes: Dark red (3) — at top-left and top-right (row 5, col 3–4 and 13–14)
- Nose: Magenta (1) — center (row 11, col 8)
- Mouth: Black (8) — horizontal line at row 14, col 7–9
- Whiskers: Black (8) — at row 13, col 6 and 10

But wait — row 13, col 6 and 10 are 8s, but they are not connected to the mouth.

So maybe just a simple face.

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✔ Conclusion

After solving the equations and applying the color key, the hidden picture is a smiley face.

To complete the worksheet:

1. Color all 2s and 9s → 🟡 Light Pink
2. Color all 3s and 7s → 🟥 Dark Red
3. Color all 4s and 8s → ⬛ Black
4. Color all 5s → 🟦 Dark Blue
5. Color all 6s → 🔵 Blue
6. Color all 1s → 💜 Magenta

When colored, the image reveals a smiley face with:
- Eyes: dark red (3s) at top corners
- Nose: magenta (1) at center
- Mouth: black (8s) in a horizontal line
- Border: dark blue (5s)

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📝 Final Answer

> The hidden picture is a smiley face.
> To reveal it, color the numbers according to the key:
> - 1 → Magenta
> - 2, 9 → Light Pink
> - 3, 7 → Dark Red
> - 4, 8 → Black
> - 5 → Dark Blue
> - 6 → Blue
>
> After coloring, a smiling face emerges with eyes, nose, mouth, and a border.