This worksheet challenges students to complete visual patterns with shapes and solve a magic square number puzzle.

Let's solve the problems step by step.

---

Part 1: Complete the patterns

We are given two sequences of shapes, and we need to identify the pattern and complete them using the available options in the box below.

#### Pattern 1:
Sequence:
🔵😊 → 🔵🙂 → 🔵😐 → [ ] → [ ]

- First shape: Smiling face (😊)
- Second: Slightly smiling or neutral (🙂)
- Third: Neutral or frowning (😐)

This appears to be a progression of facial expressions, going from happy to neutral to sad.

But looking closely at the icons:
- The first is a smiley face (happy).
- The second has a small smile but less pronounced.
- The third has no mouth (neutral).

So the pattern is likely decreasing happiness.

Possible continuation:
The next could be a sad face (frowning), then maybe a very sad face.

Looking at the box below:
- Available icons: ❤️, 😊, 💔, 😐

Wait — the box contains:
- A heart (❤️)
- A smiley face (😊)
- A broken heart (💔)
- A neutral face (😐)

But in the sequence, we already used:
- 😊
- 🙂 (not in box)
- 😐 (in box)

Wait — let’s re-express:

Actually, the first three are all blue circles with faces:
1. 😊 (smile)
2. 🙂 (smaller smile)
3. 😐 (no mouth)

So the pattern is decreasing happiness.

Now, what comes after 😐? Likely a frown, but that’s not in the box.

But the box includes:
- ❤️ (heart)
- 😊 (already used)
- 💔 (broken heart)
- 😐 (already used)

Wait — perhaps the pattern is alternating between faces and hearts?

But no — the first three are all faces.

Alternatively, maybe the pattern is repeating?

Wait — let’s look again.

Actually, the box below has:
- ❤️
- 😊
- 💔
- 😐

And the sequence is:
1. 😊
2. 🙂 (not in box) — wait, this is confusing.

Hold on — perhaps the faces are different.

Looking carefully:

- First circle: two dots for eyes, curved line for mouth → 😊
- Second circle: two dots, straight line → 🙂 or 😐?
- Third: two dots, upside-down curve → 😞

Ah! So:
1. 😊 (happy)
2. 😐 (neutral)
3. 😞 (sad)

So the pattern is emotions: happy → neutral → sad → ?

Next should be very sad or crying, but that’s not in the box.

But the box has:
- ❤️ (heart)
- 😊 (happy)
- 💔 (broken heart)
- 😐 (neutral)

So maybe it's not emotional progression, but alternating types?

Wait — the second pattern is hearts:

#### Pattern 2:
❤️ → 💔 → ❤️ → [ ] → [ ]

Hearts:
1. Full heart
2. Broken heart
3. Full heart

So pattern: full → broken → full → broken → full

So:
- 4th: 💔 (broken heart)
- 5th: ❤️ (full heart)

That makes sense.

Now back to Pattern 1:
- Faces: 😊 → 🙂 → 😐 → ?

Wait — actually, let's re-check the images.

From the image:
1. First face: 😊 (smile)
2. Second: 🙂 (slight smile)
3. Third: 😐 (straight line)

So the mouth is getting less happy.

But there is no sad face in the box.

But the box has:
- ❤️
- 😊
- 💔
- 😐

Wait — perhaps the pattern is alternating between faces and hearts?

No — both patterns seem to be separate.

Wait — the instruction says: "Complete the following patterns by dragging from the box below"

And the box has:
- ❤️
- 😊
- 💔
- 😐

But in Pattern 1, we have three face icons.

So likely, the missing ones are also faces.

But only 😊 and 😐 are in the box.

We already used 😊 and 😐.

Wait — maybe the pattern is cycle of emotions: 😊 → 🙂 → 😐 → 😞 → 😢

But 😞 and 😢 aren’t in the box.

Alternatively, maybe the pattern is not emotional, but based on mouth shape.

Let’s list:

1. 😊 — up-curved mouth
2. 🙂 — straight mouth
3. 😐 — down-curved mouth

So: up → straight → down

Then next should be up again? Or continue downward?

But no more mouths.

Alternatively, maybe it's repeating every 3?

But that seems unlikely.

Wait — perhaps the sequence is cycling through the available faces?

But only two faces are in the box: 😊 and 😐

But we have three different faces already.

Perhaps the pattern is not based on emotion, but on shape orientation?

Wait — no.

Another idea: Maybe the pattern alternates between faces and hearts, but that doesn't fit.

Wait — the two patterns are separate.

Let’s focus on Pattern 2 first.

---

Pattern 2: Hearts

Sequence:
1. ❤️ (full heart)
2. 💔 (broken heart)
3. ❤️ (full heart)
4. [ ]
5. [ ]

So pattern: full → broken → full → broken → full

So:
- 4th: 💔 (broken heart)
- 5th: ❤️ (full heart)

✔ That’s clear.

Now, Pattern 1:

Faces:
1. 😊 (smiley)
2. 🙂 (neutral/slight smile)
3. 😐 (straight mouth)

Wait — but the third one looks like a frown? Or just neutral?

But in any case, the mouths are:
- Upward curve
- Straight line
- Downward curve

So: ↑ → — → ↓

Then next should be ↑ again? Or continue?

But if it's a cycle, then next would be upward, but that’s 😊, which is already used.

Alternatively, maybe it’s repeating every 3?

But that would make:
- 4th: 😊
- 5th: 🙂
But 🙂 is not in the box.

Wait — the box has:
- ❤️
- 😊
- 💔
- 😐

So only 😊 and 😐 are faces.

We already used:
- 😊 (1st)
- 🙂 (2nd) — but this is not in the box!
- 😐 (3rd)

Wait — this is confusing.

Maybe the second face is not 🙂, but something else?

Wait — perhaps the icons are not emojis, but shapes with dots.

Let’s describe them:

1. Circle with two dots and a curved line (like a smile) → 😊
2. Circle with two dots and a straight line → 😐
3. Circle with two dots and a downward curve → 😞

So:
- 1: 😊
- 2: 😐
- 3: 😞

Wait — but the second one has a straight line, third has downward curve.

But in the box, we have:
- ❤️
- 😊
- 💔
- 😐

So only 😊 and 😐 are in the box.

But we need a sad face for the fourth?

But sad face isn’t in the box.

Unless the pattern is not emotional, but based on mouth curvature.

Sequence:
- Up → Straight → Down → ? → ?

If it's a cycle: up → straight → down → up → straight

Then:
- 4th: 😊 (up)
- 5th: 😐 (straight)

But that would mean the pattern is repeating.

But the second face is not 😊 or 😐 — it’s a different one.

Wait — perhaps the second face is actually 😐, and the third is 😞, but 😞 is not in the box.

But the box only has:
- ❤️
- 😊
- 💔
- 😐

So maybe the pattern is alternating between faces and hearts?

But no — Pattern 1 is all faces.

Alternatively, maybe the pattern is not about faces, but about rotations?

Look at the hearts:

1. ❤️ — upright
2. 💔 — rotated left?
3. ❤️ — upright

Wait — the second heart is rotated.

So:
- 1st: upright heart
- 2nd: rotated 90° clockwise?
- 3rd: upright heart

So pattern: upright → rotated → upright → rotated → upright

So:
- 4th: rotated heart → 💔
- 5th: upright → ❤️

Yes — matches earlier.

Now for Pattern 1:

Faces:
1. 😊 — normal
2. 🙂 — rotated?
3. 😐 — rotated?

Wait — are they rotated?

Look:
- 1st: normal
- 2nd: slightly rotated?
- 3rd: rotated?

But the third face has a frown — so it might be rotating and changing expression.

Alternatively, maybe the pattern is alternating between normal and rotated faces?

But the box has only two faces: 😊 and 😐

And we need to fill two blanks.

But the third face is not in the box.

Wait — perhaps the pattern is: smile → neutral → frown → smile → neutral

But we don’t have frown in the box.

But the box has:
- ❤️
- 😊
- 💔
- 😐

So only two face icons.

So likely, the pattern uses only those two.

But we have three different faces already.

Unless the second face is actually 😐, and the third is something else.

Wait — perhaps the faces are not distinct — maybe the second is 😐, third is 😊?

But no — the third has a frown.

I think there’s a mistake in interpretation.

Let’s assume that the only available choices are the four in the box.

So for each blank, we can choose from:
- ❤️
- 😊
- 💔
- 😐

Now, for Pattern 1:
- We have three faces: 😊, 🙂, 😐
- But 🙂 is not in the box — so maybe it’s a typo or misinterpretation.

Wait — perhaps the second face is not 🙂, but it’s a rotated version of 😊 or 😐?

But no.

Alternative idea: Maybe the pattern is not about facial expression, but about orientation.

For Pattern 1:
- 1st: 😊 — normal
- 2nd: 🙂 — rotated 90° clockwise?
- 3rd: 😐 — rotated 180°?

But that seems forced.

For Pattern 2:
- 1st: ❤️ — upright
- 2nd: 💔 — rotated 90° clockwise
- 3rd: ❤️ — upright
- 4th: should be rotated → 💔
- 5th: upright → ❤️

So:
- 4th: 💔
- 5th: ❤️

✔ This is consistent.

Now for Pattern 1, if we assume it's similar — but with faces.

But the faces are not rotated consistently.

Wait — perhaps the pattern is alternating between faces and hearts, but that doesn’t fit.

Another possibility: Maybe the patterns are independent, and for Pattern 1, the missing items are faces, but only 😊 and 😐 are available.

But we have three different faces already.

Unless the second face is 😐, and the third is 😊 — but no, the third has a frown.

Wait — perhaps the third face is actually a rotated 😊?

No — it has a frown.

I think there’s a better way.

Let’s look at the box: it has:
- ❤️
- 😊
- 💔
- 😐

And the instructions say to drag from the box.

So only these four can be used.

Now, Pattern 1 has:
- Face 1: 😊 (in box)
- Face 2: ??? — not in box
- Face 3: 😐 (in box)

But Face 2 is not in the box.

Unless the second face is actually 😐, and the third is something else.

Wait — perhaps the faces are not different, but the same icon is used.

But visually, they are different.

Alternatively, maybe the pattern is: 😊 → 😐 → 😊 → 😐 → 😊

But the third is not 😊 — it’s a frown.

But if we ignore that, and assume it’s a cycle of 😊 and 😐, then:

1. 😊
2. 😐
3. 😊
4. 😐
5. 😊

But the third is not 😊 — it’s a frown.

So that doesn’t work.

Wait — perhaps the second face is a rotated 😊, but still 😊.

But the mouth is different.

I think the only logical explanation is that Pattern 1 is not a facial expression pattern, but rather a rotation pattern.

But without rotation, it’s hard.

Alternatively, maybe the pattern is: smile → neutral → frown → smile → neutral, and we use the available icons.

But we don’t have frown.

But the box has 💔 — a broken heart — which might represent sadness.

But it’s not a face.

So perhaps Pattern 1 is not meant to be completed with faces only — maybe it’s mixed.

But the first three are all faces.

Given the confusion, let’s move to the number puzzle, which is clearer.

---

Part 2: Fill the square using numbers 46 to 54

We have a 3x3 grid:

```
| | | 49 |
| 46 | | |
| | 52 | 47 |
```

Rule: Each row, column, and diagonal sums to 150.

Numbers to use: 46 to 54 inclusive.

List of numbers: 46, 47, 48, 49, 50, 51, 52, 53, 54

Already used: 46, 47, 49, 52

Remaining: 48, 50, 51, 53, 54

We need to fill the grid so that each row, column, and diagonal sums to 150.

Let’s denote the grid as:

```
A B C
D E F
G H I
```

Given:
- C = 49
- D = 46
- H = 52
- I = 47

So:

```
A B 49
46 E F
G 52 47
```

Now, let’s find totals.

---

#### Step 1: Row 3 sum = 150

Row 3: G + 52 + 47 = 150 → G + 99 = 150 → G = 51

So G = 51

Used now: 46, 47, 49, 51, 52

Remaining: 48, 50, 53, 54

---

#### Step 2: Column 1 sum = 150

Column 1: A + 46 + G = A + 46 + 51 = A + 97 = 150 → A = 53

So A = 53

Used: 46, 47, 49, 51, 52, 53

Remaining: 48, 50, 54

---

#### Step 3: Row 1 sum = 150

Row 1: A + B + 49 = 53 + B + 49 = 102 + B = 150 → B = 48

So B = 48

Used: 46, 47, 48, 49, 51, 52, 53

Remaining: 50, 54

---

#### Step 4: Column 2 sum = 150

Column 2: B + E + H = 48 + E + 52 = 100 + E = 150 → E = 50

So E = 50

Now remaining number: 54

So F must be 54

Now check:

- Row 2: D + E + F = 46 + 50 + 54 = 150 ✔
- Column 3: C + F + I = 49 + 54 + 47 = 150 ✔
- Diagonal 1: A + E + I = 53 + 50 + 47 = 150 ✔
- Diagonal 2: C + E + G = 49 + 50 + 51 = 150 ✔

All good!

Now fill the grid:

```
53 48 49
46 50 54
51 52 47
```

✔ All rows, columns, diagonals sum to 150.

---

Now back to the patterns.

Given that the number puzzle is solved, let’s try the patterns again.

#### Pattern 1: Faces

We have:
1. 😊
2. 🙂
3. 😐

But only 😊 and 😐 are in the box.

But the second face is not in the box.

Wait — perhaps the second face is a rotated version of 😊, but still 😊.

But it has a straight mouth.

Alternatively, maybe the pattern is: 😊 → 😐 → 😊 → 😐 → 😊

But the third is not 😊 — it’s a frown.

But if we ignore that, and assume it’s a cycle, then:

- 4th: 😐
- 5th: 😊

But the third is not 😊.

Alternatively, maybe the pattern is not emotional, but based on mouth shape:

- Up → Straight → Down → Up → Straight

So:
- 4th: 😊 (up)
- 5th: 😐 (straight)

But we don’t have a “down” face in the box.

But the box has 💔 — a broken heart — which might represent sadness.

But it’s not a face.

Perhaps the pattern is alternating between faces and hearts?

But the first three are all faces.

Wait — maybe the box is for both patterns, and we can use any of the four icons.

But the first three are faces, so likely the next are also faces.

But only 😊 and 😐 are face icons.

So perhaps the pattern is: 😊 → 😐 → 😊 → 😐 → 😊

Even though the third is shown as a frown, maybe it’s a mistake.

Or perhaps the third face is actually 😐, and the frown is an error.

Given that, and since we must use only the box icons, likely:

- Pattern 1: 😊 → 😐 → 😊 → 😐 → 😊

So:
- 4th: 😐
- 5th: 😊

But the third is shown as a frown, so this is inconsistent.

Alternatively, maybe the pattern is: smile → neutral → sad → smile → neutral

But we don’t have sad face.

But the box has 💔 — which is sad.

So maybe the third face is not a face, but a heart? No — it’s a circle.

I think the most plausible explanation is that the pattern is a cycle of 😊 and 😐, and the second face is actually 😐, and the third is 😊 — but it’s drawn wrong.

But it’s clearly a frown.

Another idea: Perhaps the pattern is based on the shape of the mouth, and we use the available icons.

But only two face icons.

Given the ambiguity, and since the number puzzle is clear, let’s assume:

For Pattern 1, since we have:
- 1: 😊
- 2: 🙂 (not in box)
- 3: 😐

But only 😊 and 😐 are in box.

So likely, the pattern is: 😊 → 😐 → 😊 → 😐 → 😊

So:
- 4th: 😐
- 5th: 😊

Even if the third is drawn as frown, perhaps it’s meant to be 😐.

Or perhaps the second is 😐, third is 😊.

But it’s not.

Given the lack of clarity, and since the number puzzle is well-defined, let’s focus on that.

---

Final Answer:

#### Number Grid Solution:

```
53 48 49
46 50 54
51 52 47
```

All rows, columns, and diagonals sum to 150.

#### Patterns:

Given the ambiguity, but based on common logic:

Pattern 1:
- Sequence: 😊 → 🙂 → 😐 → ? → ?
- Only 😊 and 😐 are in box.
- If cycle: 😊 → 😐 → 😊 → 😐 → 😊
- So 4th: 😐
- 5th: 😊

Pattern 2:
- ❤️ → 💔 → ❤️ → 💔 → ❤️
- So 4th: 💔
- 5th: ❤️

Thus:

1. [ ] → 😐, [ ] → 😊
2. [ ] → 💔, [ ] → ❤️

But since the third face is a frown, this may not be accurate.

However, given the constraints, this is the most reasonable completion.

---

✔ Final Answers:

Pattern 1:
- 4th: 😐 (neutral face)
- 5th: 😊 (smiley face)

Pattern 2:
- 4th: 💔 (broken heart)
- 5th: ❤️ (full heart)

Number Grid:

```
53 48 49
46 50 54
51 52 47
```