ᐉ IQ Test for 7-8 Year Kids - Free IQ Test for 7-8 Years Old - Free Printable

Let's analyze the pattern in this 3x3 grid of shapes and colors to determine what should go in the bottom-right cell (marked with a question mark).

We'll examine each row and column for patterns involving shape, color, position, and layering.

---

Step 1: Observe the Grid

Here’s the layout:

```
Row 1:
[White dot] [Red dot inside white square] [Red square]
Row 2:
[Yellow triangle] [White triangle inside yellow circle] [White circle]
Row 3:
[Yellow triangle] [Red triangle inside yellow square] [?]
```

All cells have a teal background, so we focus on the content.

---

Step 2: Look for Patterns

Let’s consider shapes, colors, and nesting.

#### Column-wise analysis:

Column 1 (Left):
- Row 1: White dot (circle)
- Row 2: Yellow triangle
- Row 3: Yellow triangle

→ So far, two yellow triangles, one small white circle.

Not obvious yet.

Column 2 (Middle):
- Row 1: Red dot inside white square → red circle inside white square
- Row 2: White triangle inside yellow circle
- Row 3: Red triangle inside yellow square

Interesting! All three have nested shapes.

Let’s look at that more closely.

---

Focus on Middle Column (Column 2):

- Row 1: Red circle inside white square → inner shape: red circle; outer shape: white square
- Row 2: White triangle inside yellow circle → inner: white triangle; outer: yellow circle
- Row 3: Red triangle inside yellow square → inner: red triangle; outer: yellow square

Now let’s look at the pattern of inner and outer shapes:

| Row | Inner Shape | Outer Shape | Colors |
|-----|-------------|-------------|--------|
| 1 | Circle | Square | Red / White |
| 2 | Triangle | Circle | White / Yellow |
| 3 | Triangle | Square | Red / Yellow |

Hmm. Not immediately clear.

But notice: each middle cell has a shape inside another shape.

Now look at Column 3 (Right):

- Row 1: Red square (solid, no nesting)
- Row 2: White circle (solid, no nesting)
- Row 3: ??

So maybe the right column is not nested, just solid shapes.

Wait — but Row 1, Col 3: Red square
Row 2, Col 3: White circle
Row 3, Col 3: ???

Could it be that the right column shows the "outer" shape from the middle column?

Let’s test that idea.

In middle column:
- Row 1: outer shape = white square → but right column has red square → not matching color
- Row 2: outer shape = yellow circle → right column has white circle → different color
- Row 3: outer shape = yellow square → if pattern continues, maybe we need a yellow square?

But wait: in Row 1, middle has white square, right has red square — same shape, different color.

Row 2: middle has yellow circle, right has white circle — same shape, different color.

Row 3: middle has yellow square, so maybe right should be a white square?

But that would be inconsistent with previous color changes.

Wait — perhaps the right column is showing the same shape as the outer shape in the middle column, but in a different color?

But the color doesn’t match.

Alternatively, maybe there’s a transformation from middle to right.

Let’s look at rows instead.

---

Row-wise Analysis

#### Row 1:
- Left: white dot (small circle)
- Middle: red dot in white square → red circle inside white square
- Right: red square

Notice:
- The red dot in middle becomes a red square in right?
- But the dot is a circle, and the right is a square.

Not directly related.

But the red appears in both middle and right.

Also, left has a white circle, middle has white square, right has red square.

Hmm.

Wait — maybe think about what shape is missing or what completes a set?

Another idea: Shape progression across rows

Look at row 3:

- Left: yellow triangle
- Middle: red triangle inside yellow square
- Right: ?

So left is a yellow triangle.

Middle has a yellow square with a red triangle inside.

Now compare to row 2:

- Left: yellow triangle
- Middle: white triangle inside yellow circle
- Right: white circle

Ah! This looks promising.

In Row 2:
- Left: yellow triangle
- Middle: white triangle inside yellow circle
- Right: white circle

So the triangle from left becomes the inner shape in middle, and the outer shape (yellow circle) becomes the right shape, but with the inner shape's color?

No — right is white circle, but inner was white triangle.

Wait — the inner shape in middle is white triangle, and the right shape is white circle.

Same color, different shape.

But the outer shape in middle is yellow circle, and the right shape is white circle.

Different color.

Wait — maybe the right shape is the outer shape from the middle, but in the color of the inner shape?

- Row 2: inner = white triangle, outer = yellow circle → right = white circle → yes! matches inner color.
- Row 1: inner = red circle, outer = white square → right = red square → but red ≠ white → no.

Wait — in Row 1:
- Middle: red circle inside white square → inner = red circle, outer = white square
- Right: red square → which is same color as inner, but shape is square, same as outer shape.

So:
- Right shape = outer shape, but colored like the inner shape?

Yes!

Row 1:
- Inner: red circle
- Outer: white square
- Right: red square → outer shape (square), colored like inner (red)

Row 2:
- Inner: white triangle
- Outer: yellow circle
- Right: white circle → outer shape (circle), colored like inner (white)

Row 3:
- Inner: red triangle
- Outer: yellow square
- So right should be: yellow square, colored like inner → red?

Wait — no: the rule seems to be: right shape = outer shape of middle, colored like the inner shape

So:
- Row 1: outer = square, inner = red → right = red square ✔
- Row 2: outer = circle, inner = white → right = white circle ✔
- Row 3: outer = square, inner = red → right = red square

But wait — in Row 3, middle is red triangle inside yellow square → so outer shape is yellow square, inner is red triangle → so right should be red square?

But look at Row 1: right is red square, which matches.

But now check column 3:

- Row 1: red square
- Row 2: white circle
- Row 3: ??? → if pattern holds, should be red square?

But that would repeat red square in Row 1 and Row 3.

Is that possible?

Wait — but look at left column:

- Row 1: white dot (circle)
- Row 2: yellow triangle
- Row 3: yellow triangle

So bottom-left is same as middle-left.

But back to our hypothesis:

> Rule: In each row, the right cell is the outer shape from the middle cell, filled with the color of the inner shape.

Let’s verify:

- Row 1:
- Middle: red circle inside white square → outer = white square, inner = red → right = red square → YES ✔

- Row 2:
- Middle: white triangle inside yellow circle → outer = yellow circle, inner = white → right = white circle → YES ✔

- Row 3:
- Middle: red triangle inside yellow square → outer = yellow square, inner = red → right = red square → so answer is red square

But wait — is that consistent?

Let’s see: Row 3, right should be red square.

But look at Row 1, right: already red square.

Is that okay? Maybe.

But let’s check if there’s another pattern.

Wait — look at column 3:

- Row 1: red square
- Row 2: white circle
- Row 3: ??

If the pattern is based on the middle column’s outer shape, then:

- Row 1: outer = square → red square
- Row 2: outer = circle → white circle
- Row 3: outer = square → ??? → must be red square again?

But that seems odd.

Alternatively, maybe the color of the right shape comes from the left cell?

Check:

- Row 1: left = white dot, right = red square → no
- Row 2: left = yellow triangle, right = white circle → no
- Row 3: left = yellow triangle, right = ??

No.

Back to the earlier rule: right shape = outer shape from middle, colored with inner shape's color

That works for rows 1 and 2.

Apply to row 3:

- Middle: red triangle inside yellow square → outer shape = square, inner color = red → right = red square

So the missing shape is a red square.

But wait — is there a conflict?

Look at Row 1, right: red square

Row 3, right: also red square? That might be acceptable.

But let’s check column 3:

- Row 1: red square
- Row 2: white circle
- Row 3: red square → so alternating? Not really.

But maybe it’s fine.

Wait — another idea: What if the right cell is the "inverse" of the left cell?

Row 1:
- Left: white circle
- Right: red square → not inverse

Row 2:
- Left: yellow triangle
- Right: white circle → not obviously related

Row 3:
- Left: yellow triangle
- Right: ??

No clear link.

Alternative idea: Shape transformation across columns

Look at column 1:

- Row 1: white circle
- Row 2: yellow triangle
- Row 3: yellow triangle

So only change is from white circle to yellow triangle.

Now column 2:

- Row 1: red circle in white square
- Row 2: white triangle in yellow circle
- Row 3: red triangle in yellow square

Look at the inner shapes:
- Row 1: red circle
- Row 2: white triangle
- Row 3: red triangle

And outer shapes:
- Row 1: white square
- Row 2: yellow circle
- Row 3: yellow square

Now column 3:

- Row 1: red square
- Row 2: white circle
- Row 3: ?

Now, observe:

- Row 1: red square → same as outer shape in middle (white square), but colored red (inner color)
- Row 2: white circle → same as outer shape in middle (yellow circle), but colored white (inner color)
- So Row 3: outer shape in middle is yellow square → so right should be yellow square, but colored like inner shape → red → so red square

Wait — but in Row 1, outer shape was white square, but right is red square → so color changed to inner color, not preserved.

So yes: right = outer shape of middle, colored like inner shape

Thus:
- Row 3: outer shape = square, inner color = red → red square

So the answer is a red square.

But wait — is that consistent with other patterns?

Look at Row 3, left: yellow triangle

Middle: red triangle in yellow square

So the yellow triangle from left is not used in middle — but the yellow is in the outer square.

But the triangle is in the middle as red.

So maybe the left shape is transformed into the inner shape of the middle?

Check:

- Row 1: left = white circle → middle = red circle inside white square → inner is red circle → different color
- Row 2: left = yellow triangle → middle = white triangle inside yellow circle → inner is white triangle → different color
- Row 3: left = yellow triangle → middle = red triangle inside yellow square → inner is red triangle → again, different color

So the shape matches (circle, triangle), but color changes.

But not consistent.

Alternatively, maybe the left shape is the inner shape, but color changes.

But in Row 1: left = white circle, inner = red circle → color changed

Row 2: left = yellow triangle, inner = white triangle → color changed

Row 3: left = yellow triangle, inner = red triangle → color changed

So the shape is preserved, but color changes.

But what determines the new color?

Row 1: white → red
Row 2: yellow → white
Row 3: yellow → red

No clear pattern.

But our earlier rule for the right cell still holds.

Moreover, let’s test if the right cell is always the outer shape from the middle, colored with the inner shape’s color.

That worked perfectly for Rows 1 and 2.

For Row 3: middle has yellow square as outer, red triangle as inner → so right should be red square

Therefore, the missing shape is a red square.

But wait — in Row 1, the outer shape was white square, but the right is red square — so color changed.

Similarly, Row 2: outer shape was yellow circle, right is white circle — color changed.

So the right shape is the outer shape, but colored like the inner shape.

Yes — that’s the rule.

So:

- Row 1: outer = white square, inner = red → right = red square ✔
- Row 2: outer = yellow circle, inner = white → right = white circle ✔
- Row 3: outer = yellow square, inner = red → right = red square ✔

So the answer is red square.

But is there any contradiction?

Look at column 3:

- Row 1: red square
- Row 2: white circle
- Row 3: red square

So red square appears twice — but that’s acceptable.

Alternatively, could it be something else?

Wait — another thought: is the right cell supposed to be the same as the left cell in some way?

Row 1: left = white circle, right = red square — no

Row 2: left = yellow triangle, right = white circle — no

Row 3: left = yellow triangle, right = ??

No.

Or maybe symmetry?

No clear symmetry.

Another idea: number of sides?

- Row 1: left: circle (0 sides), middle: square (4), right: square (4)
- Row 2: left: triangle (3), middle: circle (0), right: circle (0)
- Row 3: left: triangle (3), middle: square (4), right: ?

Not helpful.

But our original rule fits perfectly.

Therefore, the most consistent pattern is:

> The right cell contains the outer shape from the middle cell, colored in the color of the inner shape.

Thus, for Row 3:

- Middle: red triangle inside yellow square → outer shape = square, inner color = red → right = red square

✔

---

Final Answer:

A red square

So the missing shape is a red square.

It should be drawn as a solid red square in the bottom-right cell.

Answer: Red square ✔