Printable Sequence puzzle with dice in pdf and Powerpoint version ... - Free Printable
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Step-by-step solution for: Printable Sequence puzzle with dice in pdf and Powerpoint version ...
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Step-by-step solution for: Printable Sequence puzzle with dice in pdf and Powerpoint version ...
Let's analyze the pattern in the image step by step.
We have a 3×3 grid of squares, each containing blue dots arranged in different positions. The last square (bottom right) is missing and replaced with a question mark. We are to choose the correct option (A, B, or C) that completes the pattern.
---
Let’s label the squares for clarity:
```
Row 1: [1] [2] [3] [4]
Row 2: [5] [6] [7] [?]
Row 3: A B C
```
So we have:
- [1]: 4 dots — one in each corner
- [2]: 4 dots — top-left, top-right, bottom-left, bottom-right — same as [1]? Wait, no:
- Actually, let’s count and describe carefully.
Wait — better to look at positions.
Each square is a 3x3 grid (implied), but only some cells have dots.
Let’s assume each square has 3 rows and 3 columns of positions (like a tic-tac-toe board). So positions are:
```
(1,1) (1,2) (1,3)
(2,1) (2,2) (2,3)
(3,1) (3,2) (3,3)
```
Now examine each square:
---
Dots at:
- (1,1), (1,3), (3,1), (3,3) → corners only
This is a corner pattern — all four corners.
---
Dots at:
- (1,1), (1,3), (3,1), (3,3) → wait, same as above?
No! Wait — looking again:
Actually, in Square 2: dots are at:
- (1,1), (1,3), (3,1), (3,3)? No — let’s look closely.
Wait, perhaps it's not corners.
Let me re-express:
Looking at the image:
- Square 1: Dots at top-left, top-right, bottom-left, bottom-right → all four corners.
- Square 2: Dots at top-left, top-right, bottom-left, bottom-right → same as first?
Wait, no — maybe I'm misreading.
Wait, actually, Square 1 has 4 dots: all four corners.
Square 2 also has 4 dots: but let's see — top-left, top-right, bottom-left, bottom-right — yes, same?
But then Square 3 has only two dots: top-right and bottom-left.
Square 4 has only one dot: center.
Then Square 5 has two dots: top-right and bottom-left.
Square 6 has three dots: top-right, center, bottom-left.
Square 7 has four dots: top-left, top-right, bottom-left, bottom-right — again corners?
Wait, this doesn't make sense.
Let me try again.
Wait — perhaps it's not about positions, but symmetry or movement.
Alternatively, maybe the pattern is based on rotations or transformations from one square to the next.
Let’s list them row by row.
---
- [1]: Four dots — all corners: (1,1), (1,3), (3,1), (3,3)
- [2]: Four dots — (1,1), (1,3), (3,1), (3,3)? No — wait, looks like same?
Wait — no, upon closer inspection:
Actually, [1] has 4 dots: corners.
[2] has 4 dots: but they are not all corners.
Wait — no, actually, in the image:
Looking carefully:
- [1]: Top-left, top-right, bottom-left, bottom-right → all four corners → symmetric.
- [2]: Top-left, top-right, bottom-left, bottom-right → same as [1]? But that can’t be.
Wait — no, actually, [2] has dots at:
- Top-left, top-right, bottom-left, bottom-right → same as [1]? That would mean both are identical.
But that can’t be — likely not.
Wait — maybe the dots are moving inward?
Let me look at the images again:
From left to right, top row:
1. Four dots: top-left, top-right, bottom-left, bottom-right → all corners
2. Four dots: top-left, top-right, bottom-left, bottom-right → same? No — wait, actually, no, let’s check the image carefully.
Wait — actually, [2] has dots at:
- Top-left, top-right, bottom-left, bottom-right → same as [1]
But then [3] has only two dots: top-right and bottom-left
[4] has only one dot: center
So perhaps the number of dots is decreasing?
But [1]: 4 dots
[2]: 4 dots
[3]: 2 dots
[4]: 1 dot
Not consistent.
Wait — maybe it's about symmetry.
Another idea: perhaps each square is a transformation of the previous.
But let's look at row 2:
- [5]: two dots — top-right and bottom-left
- [6]: three dots — top-right, center, bottom-left
- [7]: four dots — all corners again?
Wait — [7] has dots at: top-left, top-right, bottom-left, bottom-right → same as [1] and [2]?
But [7] is third in second row.
Wait — perhaps it's not about the number, but about positions and patterns.
Alternative idea: each square represents a die face, but dice have numbers 1–6, and here we have up to 4 dots.
But the patterns resemble die faces, but not standard.
Wait — standard die faces:
- 1: center
- 2: top-left and bottom-right, or top-right and bottom-left?
- Usually: opposite corners
- 3: diagonal + center
- 4: corners
- 5: corners + center
- 6: two rows of three
But here:
- [1]: 4 dots — all four corners → like "4"
- [2]: 4 dots — same? Or different?
Wait — actually, looking again:
[1]: 4 dots — all corners → "4"
[2]: 4 dots — but arranged differently?
Wait — no, in [2], dots are at:
- Top-left, top-right, bottom-left, bottom-right — same as [1]?
Wait, unless the image shows something else.
Wait — I think I need to interpret the image more carefully.
Let me describe each square:
Assume each square is divided into 3×3 grid.
- Dot at: (1,1), (1,3), (3,1), (3,3) → corners → 4 dots
- Dot at: (1,1), (1,3), (3,1), (3,3) → same as square 1? But that seems redundant.
Wait — no! Looking at the image, square 2 has dots at:
- (1,1), (1,3), (3,1), (3,3) → yes, same as square 1.
But then square 3 has:
- (1,3) and (3,1) → top-right and bottom-left
Square 4:
- (2,2) → center
Now row 2:
Square 5:
- (1,3) and (3,1) → top-right and bottom-left → same as square 3
Square 6:
- (1,3), (2,2), (3,1) → top-right, center, bottom-left
Square 7:
- (1,1), (1,3), (3,1), (3,3) → all corners again
Now the question mark is in the bottom-right position.
Options:
- A: dots at (1,1), (1,3), (3,1), (3,3) → all corners
- B: dots at (1,1), (1,3), (3,1), (3,3) → same as A?
- C: dots at (1,1), (1,3), (3,1), (3,3) — wait, no.
Wait — let’s look at options:
Option A: two columns of dots — left and right columns: (1,1), (2,1), (3,1), (1,3), (2,3), (3,3) → 6 dots
Wait — that’s six dots!
But others have fewer.
Wait — no, in the image:
Option A: dots in left column and right column → (1,1), (2,1), (3,1), (1,3), (2,3), (3,3) → 6 dots
Option B: dots at (1,1), (1,3), (3,1), (3,3) → all corners → 4 dots
Option C: dots at (1,1), (1,3), (3,1), (3,3) — wait, same as B?
No — wait, Option C has an extra dot at center?
Wait — let’s look:
In the image:
- A: vertical lines on left and right → full left and right columns → 6 dots
- B: four dots at corners → same as [1], [2], [7]
- C: dots at (1,1), (1,3), (3,1), (3,3) — corners — but also a dot at (2,2)? No — wait, in C, there’s a dot at center?
Wait — looking at C: it has dots at:
- (1,1), (1,3), (3,1), (3,3) — corners — and (2,2) — center → so 5 dots
Yes! So:
- A: 6 dots (left and right columns)
- B: 4 dots (corners only)
- C: 5 dots (corners + center)
Now back to the grid:
Let’s list all squares:
- [1]: 4 dots — corners
- [2]: 4 dots — corners
- [3]: 2 dots — top-right and bottom-left
- [4]: 1 dot — center
- [5]: 2 dots — top-right and bottom-left
- [6]: 3 dots — top-right, center, bottom-left
- [7]: 4 dots — corners
- A: 6 dots — left and right columns
- B: 4 dots — corners
- C: 5 dots — corners + center
Now, look at the pattern.
Notice that:
- [1], [2], [7] all have corners only → 4 dots
- [3] and [5] have top-right and bottom-left → anti-diagonal
- [6] has anti-diagonal + center → 3 dots
- [4] has only center
Now, the pattern might be diagonals.
Let’s consider the columns.
Maybe it's about symmetry or progression.
Alternative idea: the grid is showing a sequence of transformations.
Look at the first column:
- [1]: corners
- [5]: anti-diagonal (top-right, bottom-left)
- A: left and right columns
No clear pattern.
Second column:
- [2]: corners
- [6]: anti-diagonal + center
- B: corners
Third column:
- [3]: anti-diagonal
- [7]: corners
- C: corners + center
Fourth column:
- [4]: center
- ? : ?
- ?
Wait — fourth column has:
- [4]: center
- [?] : ?
- Then below is nothing — but options are under A, B, C.
Wait — the layout is:
It’s a 3×4 grid of squares, with the last one missing.
Rows:
- Row 1: [1] [2] [3] [4]
- Row 2: [5] [6] [7] [?]
- Row 3: A B C (not shown)
So the missing square is in row 2, column 4
And the options A, B, C are below the first three columns.
So we need to find what should be in [8] = row 2, column 4
Now, look at column 4:
- [4]: center dot only
- [?]: ??? → we need to find
- Below it is nothing — but options are for the missing square.
So focus on column 4:
Only two entries: [4] and [?]
But [4] is in row 1, col 4: center dot
[?] is row 2, col 4: unknown
Now look at other columns.
Perhaps the pattern is across rows.
Let’s look at row 1:
- [1]: corners (4 dots)
- [2]: corners (4 dots)
- [3]: anti-diagonal (top-right, bottom-left) → 2 dots
- [4]: center (1 dot)
So from left to right: 4, 4, 2, 1
Row 2:
- [5]: anti-diagonal (2 dots)
- [6]: anti-diagonal + center (3 dots)
- [7]: corners (4 dots)
- [?]: ???
So: 2, 3, 4, ?
Possibly increasing? So next could be 5 or 6?
But options:
- A: 6 dots
- B: 4 dots
- C: 5 dots
So possibly A or C.
But let’s see if there’s a better pattern.
Now, look at column 1:
- [1]: corners
- [5]: anti-diagonal
- A: left and right columns
Not helpful.
Wait — perhaps the pattern is rotational or reflectional.
Another idea: look at [3] and [5] — both have the same pattern: top-right and bottom-left.
[6] adds the center.
[7] has corners.
[4] has center.
Now, notice that:
- [1] and [2] are both corners — maybe duplicates?
But [7] is also corners.
Now, look at [3] and [5]: same pattern — anti-diagonal.
Then [6]: anti-diagonal + center
Then [7]: corners
Then [4]: center
Now, perhaps the sequence is building up.
But [4] is center.
Maybe the pattern is based on symmetry types.
Wait — another idea: each square is a representation of a number on a die, but not standard.
Standard die:
- 1: center
- 2: opposite corners (top-left & bottom-right, or top-right & bottom-left)
- 3: diagonal + center
- 4: corners
- 5: corners + center
- 6: two rows of three
Here:
- [1]: 4 → corners
- [2]: 4 → corners
- [3]: 2 → anti-diagonal (top-right & bottom-left) — this is like "2" on die
- [4]: 1 → center — like "1"
- [5]: 2 → same as [3]
- [6]: 3 → anti-diagonal + center — like "3"
- [7]: 4 → corners
Now, what about the missing square?
It’s in row 2, column 4.
Column 4:
- [4]: 1 dot (center)
- [?]: ???
Row 2:
- [5]: 2 dots (anti-diagonal)
- [6]: 3 dots (anti-diagonal + center)
- [7]: 4 dots (corners)
- [?]: ???
So row 2: 2, 3, 4, ?
So possibly increasing: next is 5 or 6?
But what pattern?
Wait — maybe the sequence in row 2 is:
- [5]: anti-diagonal (2 dots)
- [6]: anti-diagonal + center (3 dots)
- [7]: corners (4 dots)
- [?]: ?
So adding more dots.
Now, what could come after corners?
Possibility: add the center → 5 dots → which is option C
Or add middle row → 6 dots → option A
But let’s look at the entire grid.
Notice that:
- [1] and [2] are both corners
- [3] and [5] are both anti-diagonal
- [4] is center
- [6] is anti-diagonal + center
- [7] is corners
Now, look at [3] and [5] — same pattern
Then [6] is like [3] + center
Then [7] is corners
Now, what about [4] — center
Is there a pattern in columns?
Column 4:
- [4]: center
- [?]: ?
If we think of it as a sequence down the column, but only two entries.
But maybe the missing square is related to [4] and [?].
Wait — perhaps the pattern is diagonal.
Look at the main diagonal:
- [1]: corners
- [6]: anti-diagonal + center
- C: corners + center
Not helpful.
Another idea: look at [3] and [6]:
- [3]: anti-diagonal (top-right, bottom-left)
- [6]: anti-diagonal + center
Then [7]: corners
Then [?]: ?
Now, [4]: center
Perhaps the missing square is corners + center → 5 dots → option C
Because:
- [6] has anti-diagonal + center
- [7] has corners
- [?] might have corners + center
But why?
Wait — look at the last column:
- [4]: center
- [?]: ???
But [4] is in row 1, col 4
[?] is in row 2, col 4
Now, what about row 1, col 4: center
Row 2, col 4: ?
Now, compare to other columns.
Wait — look at [6]: anti-diagonal + center
That’s like "3" on a die.
[7]: corners — "4"
[?]: ?
Now, if we go from "3" to "4", next could be "5" or "6".
But "5" is corners + center → which is option C
"6" is two rows of three → option A
Now, option A has left and right columns — that’s 6 dots.
But in a die, 6 is usually two horizontal rows.
But here, option A has vertical columns — left and right — so it’s like two vertical lines.
Which is also valid for "6" on some dice.
But let’s see if there’s a better clue.
Wait — look at [1] and [2]: both have corners — same
[7] also has corners — same
But [7] is in row 2, col 3
Now, [3] and [5] are both anti-diagonal
[6] is anti-diagonal + center
Now, what about the missing square?
Let’s look at the position.
The missing square is at row 2, col 4
Now, row 2 has:
- [5]: anti-diagonal (2 dots)
- [6]: anti-diagonal + center (3 dots)
- [7]: corners (4 dots)
- [?]: ?
So the number of dots is increasing: 2, 3, 4, ?
So likely 5 or 6.
But what pattern?
Also, the type of pattern:
- [5]: anti-diagonal
- [6]: anti-diagonal + center
- [7]: corners
- [?]: ?
So from anti-diagonal to corners — a change.
But then [?] might be corners + center → 5 dots → option C
Or full grid → 6 dots → option A
But let’s look at [4]: center
And [?] is in the same column.
[4] is in row 1, col 4: center
[?] is in row 2, col 4: ?
Is there a pattern in column 4?
Only two entries.
But perhaps the column is meant to be compared to others.
Another idea: perhaps the entire grid is showing a transformation of the die face.
But let’s look at the first row:
- [1]: 4 dots — corners
- [2]: 4 dots — corners — same
- [3]: 2 dots — anti-diagonal
- [4]: 1 dot — center
So from 4 to 4 to 2 to 1 — decreasing
Second row:
- [5]: 2 dots — anti-diagonal
- [6]: 3 dots — anti-diagonal + center
- [7]: 4 dots — corners
- [?]: ?
So increasing: 2, 3, 4, ?
So likely 5 or 6.
But what comes after 4? 5 or 6.
Now, look at the options:
- A: 6 dots — left and right columns
- B: 4 dots — corners
- C: 5 dots — corners + center
Now, if we follow the increasing trend in row 2, and since [7] is corners (4 dots), then [?] should be more than 4.
So B (4 dots) is out.
Between A (6) and C (5), which is more likely?
But also, look at the pattern type.
[7] is corners — which is like "4"
[?] could be "5" — corners + center — which is option C
Or "6" — which is either two rows or two columns.
But in this grid, "6" is represented as two vertical columns — option A.
Now, is there a reason to prefer one over the other?
Wait — look at [6]: anti-diagonal + center — that’s like "3"
[7]: corners — "4"
[?]: could be "5" — corners + center — option C
Then the next would be "6", but there’s no space.
So it makes sense that the sequence in row 2 is: 2, 3, 4, 5 — i.e., increasing number of dots, and progressing through die faces.
Similarly, in row 1: 4, 4, 2, 1 — decreasing.
So row 2: 2, 3, 4, 5 → so [?] should be 5 dots — option C
Moreover, option C has corners + center — which is exactly "5" on a die.
Option A has 6 dots — "6"
But if the sequence is 2,3,4,5, then 5 is expected.
Additionally, in column 4:
- [4]: center — "1"
- [?]: "5"? That jumps — but not necessarily.
But the pattern might be per row.
Another clue: look at [3] and [5] — both have the same pattern (anti-diagonal)
Then [6] adds center — becomes "3"
Then [7] changes to corners — "4"
Then [?] adds center to corners — becomes "5"
That fits.
Moreover, in the first row, [4] is center — "1"
So perhaps the missing square is "5" — corners + center — option C
Therefore, answer is C
But let’s confirm with the options:
- C has dots at:
- (1,1), (1,3), (3,1), (3,3) — corners
- (2,2) — center
→ 5 dots — yes
- A has 6 dots — left and right columns
- B has 4 dots — corners only
Since [7] already has corners, and the trend in row 2 is increasing, and [6] has 3, [7] has 4, likely [?] has 5.
Thus, C is the best choice.
✔ Answer: C
We have a 3×3 grid of squares, each containing blue dots arranged in different positions. The last square (bottom right) is missing and replaced with a question mark. We are to choose the correct option (A, B, or C) that completes the pattern.
---
Step 1: Observe the arrangement
Let’s label the squares for clarity:
```
Row 1: [1] [2] [3] [4]
Row 2: [5] [6] [7] [?]
Row 3: A B C
```
So we have:
- [1]: 4 dots — one in each corner
- [2]: 4 dots — top-left, top-right, bottom-left, bottom-right — same as [1]? Wait, no:
- Actually, let’s count and describe carefully.
Wait — better to look at positions.
Each square is a 3x3 grid (implied), but only some cells have dots.
Let’s assume each square has 3 rows and 3 columns of positions (like a tic-tac-toe board). So positions are:
```
(1,1) (1,2) (1,3)
(2,1) (2,2) (2,3)
(3,1) (3,2) (3,3)
```
Now examine each square:
---
Square 1 (Top-left):
Dots at:
- (1,1), (1,3), (3,1), (3,3) → corners only
This is a corner pattern — all four corners.
---
Square 2:
Dots at:
- (1,1), (1,3), (3,1), (3,3) → wait, same as above?
No! Wait — looking again:
Actually, in Square 2: dots are at:
- (1,1), (1,3), (3,1), (3,3)? No — let’s look closely.
Wait, perhaps it's not corners.
Let me re-express:
Looking at the image:
- Square 1: Dots at top-left, top-right, bottom-left, bottom-right → all four corners.
- Square 2: Dots at top-left, top-right, bottom-left, bottom-right → same as first?
Wait, no — maybe I'm misreading.
Wait, actually, Square 1 has 4 dots: all four corners.
Square 2 also has 4 dots: but let's see — top-left, top-right, bottom-left, bottom-right — yes, same?
But then Square 3 has only two dots: top-right and bottom-left.
Square 4 has only one dot: center.
Then Square 5 has two dots: top-right and bottom-left.
Square 6 has three dots: top-right, center, bottom-left.
Square 7 has four dots: top-left, top-right, bottom-left, bottom-right — again corners?
Wait, this doesn't make sense.
Let me try again.
Wait — perhaps it's not about positions, but symmetry or movement.
Alternatively, maybe the pattern is based on rotations or transformations from one square to the next.
Let’s list them row by row.
---
Row 1:
- [1]: Four dots — all corners: (1,1), (1,3), (3,1), (3,3)
- [2]: Four dots — (1,1), (1,3), (3,1), (3,3)? No — wait, looks like same?
Wait — no, upon closer inspection:
Actually, [1] has 4 dots: corners.
[2] has 4 dots: but they are not all corners.
Wait — no, actually, in the image:
Looking carefully:
- [1]: Top-left, top-right, bottom-left, bottom-right → all four corners → symmetric.
- [2]: Top-left, top-right, bottom-left, bottom-right → same as [1]? But that can’t be.
Wait — no, actually, [2] has dots at:
- Top-left, top-right, bottom-left, bottom-right → same as [1]? That would mean both are identical.
But that can’t be — likely not.
Wait — maybe the dots are moving inward?
Let me look at the images again:
From left to right, top row:
1. Four dots: top-left, top-right, bottom-left, bottom-right → all corners
2. Four dots: top-left, top-right, bottom-left, bottom-right → same? No — wait, actually, no, let’s check the image carefully.
Wait — actually, [2] has dots at:
- Top-left, top-right, bottom-left, bottom-right → same as [1]
But then [3] has only two dots: top-right and bottom-left
[4] has only one dot: center
So perhaps the number of dots is decreasing?
But [1]: 4 dots
[2]: 4 dots
[3]: 2 dots
[4]: 1 dot
Not consistent.
Wait — maybe it's about symmetry.
Another idea: perhaps each square is a transformation of the previous.
But let's look at row 2:
- [5]: two dots — top-right and bottom-left
- [6]: three dots — top-right, center, bottom-left
- [7]: four dots — all corners again?
Wait — [7] has dots at: top-left, top-right, bottom-left, bottom-right → same as [1] and [2]?
But [7] is third in second row.
Wait — perhaps it's not about the number, but about positions and patterns.
Alternative idea: each square represents a die face, but dice have numbers 1–6, and here we have up to 4 dots.
But the patterns resemble die faces, but not standard.
Wait — standard die faces:
- 1: center
- 2: top-left and bottom-right, or top-right and bottom-left?
- Usually: opposite corners
- 3: diagonal + center
- 4: corners
- 5: corners + center
- 6: two rows of three
But here:
- [1]: 4 dots — all four corners → like "4"
- [2]: 4 dots — same? Or different?
Wait — actually, looking again:
[1]: 4 dots — all corners → "4"
[2]: 4 dots — but arranged differently?
Wait — no, in [2], dots are at:
- Top-left, top-right, bottom-left, bottom-right — same as [1]?
Wait, unless the image shows something else.
Wait — I think I need to interpret the image more carefully.
Let me describe each square:
Assume each square is divided into 3×3 grid.
Square 1 (top-left):
- Dot at: (1,1), (1,3), (3,1), (3,3) → corners → 4 dots
Square 2:
- Dot at: (1,1), (1,3), (3,1), (3,3) → same as square 1? But that seems redundant.
Wait — no! Looking at the image, square 2 has dots at:
- (1,1), (1,3), (3,1), (3,3) → yes, same as square 1.
But then square 3 has:
- (1,3) and (3,1) → top-right and bottom-left
Square 4:
- (2,2) → center
Now row 2:
Square 5:
- (1,3) and (3,1) → top-right and bottom-left → same as square 3
Square 6:
- (1,3), (2,2), (3,1) → top-right, center, bottom-left
Square 7:
- (1,1), (1,3), (3,1), (3,3) → all corners again
Now the question mark is in the bottom-right position.
Options:
- A: dots at (1,1), (1,3), (3,1), (3,3) → all corners
- B: dots at (1,1), (1,3), (3,1), (3,3) → same as A?
- C: dots at (1,1), (1,3), (3,1), (3,3) — wait, no.
Wait — let’s look at options:
Option A: two columns of dots — left and right columns: (1,1), (2,1), (3,1), (1,3), (2,3), (3,3) → 6 dots
Wait — that’s six dots!
But others have fewer.
Wait — no, in the image:
Option A: dots in left column and right column → (1,1), (2,1), (3,1), (1,3), (2,3), (3,3) → 6 dots
Option B: dots at (1,1), (1,3), (3,1), (3,3) → all corners → 4 dots
Option C: dots at (1,1), (1,3), (3,1), (3,3) — wait, same as B?
No — wait, Option C has an extra dot at center?
Wait — let’s look:
In the image:
- A: vertical lines on left and right → full left and right columns → 6 dots
- B: four dots at corners → same as [1], [2], [7]
- C: dots at (1,1), (1,3), (3,1), (3,3) — corners — but also a dot at (2,2)? No — wait, in C, there’s a dot at center?
Wait — looking at C: it has dots at:
- (1,1), (1,3), (3,1), (3,3) — corners — and (2,2) — center → so 5 dots
Yes! So:
- A: 6 dots (left and right columns)
- B: 4 dots (corners only)
- C: 5 dots (corners + center)
Now back to the grid:
Let’s list all squares:
First row:
- [1]: 4 dots — corners
- [2]: 4 dots — corners
- [3]: 2 dots — top-right and bottom-left
- [4]: 1 dot — center
Second row:
- [5]: 2 dots — top-right and bottom-left
- [6]: 3 dots — top-right, center, bottom-left
- [7]: 4 dots — corners
Third row (options):
- A: 6 dots — left and right columns
- B: 4 dots — corners
- C: 5 dots — corners + center
Now, look at the pattern.
Notice that:
- [1], [2], [7] all have corners only → 4 dots
- [3] and [5] have top-right and bottom-left → anti-diagonal
- [6] has anti-diagonal + center → 3 dots
- [4] has only center
Now, the pattern might be diagonals.
Let’s consider the columns.
Maybe it's about symmetry or progression.
Alternative idea: the grid is showing a sequence of transformations.
Look at the first column:
- [1]: corners
- [5]: anti-diagonal (top-right, bottom-left)
- A: left and right columns
No clear pattern.
Second column:
- [2]: corners
- [6]: anti-diagonal + center
- B: corners
Third column:
- [3]: anti-diagonal
- [7]: corners
- C: corners + center
Fourth column:
- [4]: center
- ? : ?
- ?
Wait — fourth column has:
- [4]: center
- [?] : ?
- Then below is nothing — but options are under A, B, C.
Wait — the layout is:
It’s a 3×4 grid of squares, with the last one missing.
Rows:
- Row 1: [1] [2] [3] [4]
- Row 2: [5] [6] [7] [?]
- Row 3: A B C (not shown)
So the missing square is in row 2, column 4
And the options A, B, C are below the first three columns.
So we need to find what should be in [8] = row 2, column 4
Now, look at column 4:
- [4]: center dot only
- [?]: ??? → we need to find
- Below it is nothing — but options are for the missing square.
So focus on column 4:
Only two entries: [4] and [?]
But [4] is in row 1, col 4: center dot
[?] is row 2, col 4: unknown
Now look at other columns.
Perhaps the pattern is across rows.
Let’s look at row 1:
- [1]: corners (4 dots)
- [2]: corners (4 dots)
- [3]: anti-diagonal (top-right, bottom-left) → 2 dots
- [4]: center (1 dot)
So from left to right: 4, 4, 2, 1
Row 2:
- [5]: anti-diagonal (2 dots)
- [6]: anti-diagonal + center (3 dots)
- [7]: corners (4 dots)
- [?]: ???
So: 2, 3, 4, ?
Possibly increasing? So next could be 5 or 6?
But options:
- A: 6 dots
- B: 4 dots
- C: 5 dots
So possibly A or C.
But let’s see if there’s a better pattern.
Now, look at column 1:
- [1]: corners
- [5]: anti-diagonal
- A: left and right columns
Not helpful.
Wait — perhaps the pattern is rotational or reflectional.
Another idea: look at [3] and [5] — both have the same pattern: top-right and bottom-left.
[6] adds the center.
[7] has corners.
[4] has center.
Now, notice that:
- [1] and [2] are both corners — maybe duplicates?
But [7] is also corners.
Now, look at [3] and [5]: same pattern — anti-diagonal.
Then [6]: anti-diagonal + center
Then [7]: corners
Then [4]: center
Now, perhaps the sequence is building up.
But [4] is center.
Maybe the pattern is based on symmetry types.
Wait — another idea: each square is a representation of a number on a die, but not standard.
Standard die:
- 1: center
- 2: opposite corners (top-left & bottom-right, or top-right & bottom-left)
- 3: diagonal + center
- 4: corners
- 5: corners + center
- 6: two rows of three
Here:
- [1]: 4 → corners
- [2]: 4 → corners
- [3]: 2 → anti-diagonal (top-right & bottom-left) — this is like "2" on die
- [4]: 1 → center — like "1"
- [5]: 2 → same as [3]
- [6]: 3 → anti-diagonal + center — like "3"
- [7]: 4 → corners
Now, what about the missing square?
It’s in row 2, column 4.
Column 4:
- [4]: 1 dot (center)
- [?]: ???
Row 2:
- [5]: 2 dots (anti-diagonal)
- [6]: 3 dots (anti-diagonal + center)
- [7]: 4 dots (corners)
- [?]: ???
So row 2: 2, 3, 4, ?
So possibly increasing: next is 5 or 6?
But what pattern?
Wait — maybe the sequence in row 2 is:
- [5]: anti-diagonal (2 dots)
- [6]: anti-diagonal + center (3 dots)
- [7]: corners (4 dots)
- [?]: ?
So adding more dots.
Now, what could come after corners?
Possibility: add the center → 5 dots → which is option C
Or add middle row → 6 dots → option A
But let’s look at the entire grid.
Notice that:
- [1] and [2] are both corners
- [3] and [5] are both anti-diagonal
- [4] is center
- [6] is anti-diagonal + center
- [7] is corners
Now, look at [3] and [5] — same pattern
Then [6] is like [3] + center
Then [7] is corners
Now, what about [4] — center
Is there a pattern in columns?
Column 4:
- [4]: center
- [?]: ?
If we think of it as a sequence down the column, but only two entries.
But maybe the missing square is related to [4] and [?].
Wait — perhaps the pattern is diagonal.
Look at the main diagonal:
- [1]: corners
- [6]: anti-diagonal + center
- C: corners + center
Not helpful.
Another idea: look at [3] and [6]:
- [3]: anti-diagonal (top-right, bottom-left)
- [6]: anti-diagonal + center
Then [7]: corners
Then [?]: ?
Now, [4]: center
Perhaps the missing square is corners + center → 5 dots → option C
Because:
- [6] has anti-diagonal + center
- [7] has corners
- [?] might have corners + center
But why?
Wait — look at the last column:
- [4]: center
- [?]: ???
But [4] is in row 1, col 4
[?] is in row 2, col 4
Now, what about row 1, col 4: center
Row 2, col 4: ?
Now, compare to other columns.
Wait — look at [6]: anti-diagonal + center
That’s like "3" on a die.
[7]: corners — "4"
[?]: ?
Now, if we go from "3" to "4", next could be "5" or "6".
But "5" is corners + center → which is option C
"6" is two rows of three → option A
Now, option A has left and right columns — that’s 6 dots.
But in a die, 6 is usually two horizontal rows.
But here, option A has vertical columns — left and right — so it’s like two vertical lines.
Which is also valid for "6" on some dice.
But let’s see if there’s a better clue.
Wait — look at [1] and [2]: both have corners — same
[7] also has corners — same
But [7] is in row 2, col 3
Now, [3] and [5] are both anti-diagonal
[6] is anti-diagonal + center
Now, what about the missing square?
Let’s look at the position.
The missing square is at row 2, col 4
Now, row 2 has:
- [5]: anti-diagonal (2 dots)
- [6]: anti-diagonal + center (3 dots)
- [7]: corners (4 dots)
- [?]: ?
So the number of dots is increasing: 2, 3, 4, ?
So likely 5 or 6.
But what pattern?
Also, the type of pattern:
- [5]: anti-diagonal
- [6]: anti-diagonal + center
- [7]: corners
- [?]: ?
So from anti-diagonal to corners — a change.
But then [?] might be corners + center → 5 dots → option C
Or full grid → 6 dots → option A
But let’s look at [4]: center
And [?] is in the same column.
[4] is in row 1, col 4: center
[?] is in row 2, col 4: ?
Is there a pattern in column 4?
Only two entries.
But perhaps the column is meant to be compared to others.
Another idea: perhaps the entire grid is showing a transformation of the die face.
But let’s look at the first row:
- [1]: 4 dots — corners
- [2]: 4 dots — corners — same
- [3]: 2 dots — anti-diagonal
- [4]: 1 dot — center
So from 4 to 4 to 2 to 1 — decreasing
Second row:
- [5]: 2 dots — anti-diagonal
- [6]: 3 dots — anti-diagonal + center
- [7]: 4 dots — corners
- [?]: ?
So increasing: 2, 3, 4, ?
So likely 5 or 6.
But what comes after 4? 5 or 6.
Now, look at the options:
- A: 6 dots — left and right columns
- B: 4 dots — corners
- C: 5 dots — corners + center
Now, if we follow the increasing trend in row 2, and since [7] is corners (4 dots), then [?] should be more than 4.
So B (4 dots) is out.
Between A (6) and C (5), which is more likely?
But also, look at the pattern type.
[7] is corners — which is like "4"
[?] could be "5" — corners + center — which is option C
Or "6" — which is either two rows or two columns.
But in this grid, "6" is represented as two vertical columns — option A.
Now, is there a reason to prefer one over the other?
Wait — look at [6]: anti-diagonal + center — that’s like "3"
[7]: corners — "4"
[?]: could be "5" — corners + center — option C
Then the next would be "6", but there’s no space.
So it makes sense that the sequence in row 2 is: 2, 3, 4, 5 — i.e., increasing number of dots, and progressing through die faces.
Similarly, in row 1: 4, 4, 2, 1 — decreasing.
So row 2: 2, 3, 4, 5 → so [?] should be 5 dots — option C
Moreover, option C has corners + center — which is exactly "5" on a die.
Option A has 6 dots — "6"
But if the sequence is 2,3,4,5, then 5 is expected.
Additionally, in column 4:
- [4]: center — "1"
- [?]: "5"? That jumps — but not necessarily.
But the pattern might be per row.
Another clue: look at [3] and [5] — both have the same pattern (anti-diagonal)
Then [6] adds center — becomes "3"
Then [7] changes to corners — "4"
Then [?] adds center to corners — becomes "5"
That fits.
Moreover, in the first row, [4] is center — "1"
So perhaps the missing square is "5" — corners + center — option C
Therefore, answer is C
But let’s confirm with the options:
- C has dots at:
- (1,1), (1,3), (3,1), (3,3) — corners
- (2,2) — center
→ 5 dots — yes
- A has 6 dots — left and right columns
- B has 4 dots — corners only
Since [7] already has corners, and the trend in row 2 is increasing, and [6] has 3, [7] has 4, likely [?] has 5.
Thus, C is the best choice.
Final Answer: C
✔ Answer: C
Parent Tip: Review the logic above to help your child master the concept of sequence puzzles.