Black and white worksheet titled "Equal or Unequal" featuring two sorting columns and ten geometric shapes at the bottom for cutting and pasting.

To solve this problem, we need to look at each shape and decide if it is made of parts that are all the same size (Equal) or different sizes (Unequal).

Step 1: Understand "Equal" and "Unequal"
* Equal: The shape is split into pieces that are exactly the same size and shape. If you cut them out, they would fit perfectly on top of each other.
* Unequal: The shape is split into pieces that are different sizes or shapes. They would not match if you tried to stack them.

Step 2: Check each shape one by one

1. Star: It is just an outline. There are no lines inside splitting it into parts. Usually, in these worksheets, if it's not split, it doesn't go in either box, OR it counts as "one whole piece" which is technically equal to itself. However, looking at the other shapes, they are all divided. Let's look closer. Actually, looking at the star, it has no internal lines. Let's skip it for a moment and see if there's a pattern. Wait, looking at the second row, first item is a cross. Let's look at all divided shapes first.

Let's re-evaluate. The task is to sort the *divided* shapes.

* Circle with one line: The line goes straight across the middle. This splits the circle into two halves. Two halves are Equal.
* Hexagon with lines: It is split into 6 triangles meeting in the center. In a regular hexagon, these triangles are all identical. So, these parts are Equal.
* Rectangle with horizontal lines: It is split into 3 horizontal strips. The strips look like they are the same height. So, these parts are Equal.
* Plus sign (top right): It is made of 5 squares (one in the center, four arms). All the squares appear to be the same size. So, these parts are Equal.
* Plus sign (bottom left): This is just an outline of a plus sign. It is not divided into smaller sections. Like the star, it might be a distractor or considered "one whole". But wait, let's look at the triangle.
* Triangle: It is split into 3 smaller triangles meeting at a point. If it is an equilateral triangle and the lines go to the corners from the center, the 3 parts are identical. So, these parts are Equal.
* Circle with many lines: It is split into 8 slices (like a pizza). All the slices look the same size. So, these parts are Equal.
* Square with vertical lines: It is split into 4 vertical strips. They all look the same width. So, these parts are Equal.
* Square with diagonal lines: It is split into 3 parts. One large rectangle/trapezoid on the bottom left, and two smaller triangles on the top right. These parts are clearly different sizes. So, these parts are Unequal.

Let's re-examine the shapes that weren't clearly "divided into equal parts":
* Star: No internal lines.
* Plus sign (bottom left): No internal lines.

Usually, in these types of worksheets, shapes that are not partitioned are ignored, or perhaps the question implies identifying symmetry? No, the title is "Equal or Unequal". This refers to partitioning.

Let's look really closely at the Star. It has no lines inside.
Let's look really closely at the Bottom-Left Plus Sign. It has no lines inside.

Is it possible I am misinterpreting "parts"?
Maybe the question is about the shapes themselves being composed of equal geometric primitives?

Let's look at the Unequal candidate again: The square in the bottom right corner. It has two lines cutting off corners. The resulting three shapes are definitely different sizes. That is definitely Unequal.

Are there any others?
Let's look at the Triangle again. The lines go from the vertices to the centroid. In an equilateral triangle, this creates 3 congruent triangles. So that is Equal.

Let's look at the Hexagon. Lines from vertices to center. Creates 6 congruent triangles. Equal.

Let's look at the Circle (half). Diameter splits it into 2 semicircles. Equal.

Let's look at the Rectangle. 3 horizontal bars. Visually they are equal height. Equal.

Let's look at the Top-Right Plus. It is composed of 5 squares. If we assume it's a standard grid, they are equal. Equal.

Let's look at the Circle (eighths). 8 wedges. Equal.

Let's look at the Square (quarters). 4 vertical bars. Equal.

So, we have one clear Unequal shape: The bottom-right square.

What about the Star and the Bottom-Left Plus?
If a shape is not divided, can it be sorted?
Sometimes, "Equal" means the shape has symmetry? No, that's too complex.

Let's reconsider the definition. "Equal" usually means "divided into equal shares". "Unequal" means "divided into unequal shares".

If a shape is *not* divided, it doesn't fit neatly. However, often in these worksheets, there might be a trick.

Let's look at the Star again. Is it possible it's considered "unequal" because it can't be divided equally? No.

Let's look at the provided solution structure. I need to put items into two columns.

Let's assume the question asks to sort the *partitioned* figures.

Partitioned Figures:
1. Circle (halves) -> Equal
2. Hexagon -> Equal
3. Rectangle (strips) -> Equal
4. Plus (top right) -> Equal (composed of equal squares)
5. Triangle -> Equal
6. Circle (eighths) -> Equal
7. Square (vertical strips) -> Equal
8. Square (diagonal cuts) -> Unequal

What about the unpartitioned ones (Star, Bottom-Left Plus)?
If I must place them, where do they go?
Perhaps the Bottom-Left Plus is actually divided? No, it looks like a solid outline.
Perhaps the Star is divided? No.

Let's look at the visual weight. The worksheet has 10 items.
Usually, these worksheets have a mix. Having only 1 unequal and 7 equal (plus 2 unsorted) seems odd.

Let me re-read the visual cues.
- Top Right Plus: It has internal lines separating the 5 squares. Yes, you can see the lines.
- Bottom Left Plus: It does NOT have internal lines. It is a single contour.
- Star: Single contour.

Maybe the rule is:
- If it's one whole piece, it's "Equal" (as in, the whole is equal to the whole)? Unlikely.
- Or maybe the unpartitioned shapes are distractors and shouldn't be cut out? The instruction says "cut and paste". You would cut out all boxes.

Let's look for another interpretation.
Could the Triangle be unequal? If the triangle is not equilateral, the parts aren't equal. But in elementary geometry problems, unless stated otherwise, regular-looking shapes are treated as regular. It looks very symmetric.

Could the Rectangle be unequal? The lines might not be evenly spaced? They look evenly spaced.

Could the Square (vertical) be unequal? They look even.

Let's look at the Bottom-Right Square again. The lines create a large quadrilateral and two small triangles. Definitely unequal.

Is there any other unequal one?
What if the Star is considered unequal because its points are different from its inner body? No, that's stretching.

Let's consider the source or style. "SuperStarWorksheets.com". These are typically simple.

Hypothesis: The shapes without dividing lines (Star, Bottom-Left Plus) are simply not part of the sorting activity regarding partitions, OR they are considered "Equal" because they are symmetrical? No, "Equal/Unequal" specifically refers to fractions/partitions in this grade level context.

However, if I *must* categorize all 10:
Maybe the Star and Bottom-Left Plus are considered Equal because they are "whole"? Or maybe they are Unequal because they aren't divided?

Let's look at similar online worksheets. Often, shapes that are not partitioned are excluded from the "fraction" concept. But here, the header is just "Equal or Unequal".

Let's look closely at the Bottom-Left Plus again. Is it possible it's divided into 4 rectangles and a center square but the lines are faint? No, it looks solid.

Let's look at the Star. Solid.

Okay, let's look at the Triangle again. The lines meet at a point. If that point is the centroid, areas are equal.

Let's look at the Hexagon. Areas are equal.

Let's look at the Top-Right Plus. It is explicitly drawn with grid lines. So it is 5 equal squares.

Let's look at the Bottom-Right Square. Explicitly drawn with asymmetric lines. Unequal.

There is a possibility that the Star and Bottom-Left Plus are meant to be ignored, or perhaps they fall into a "Neither" category, but there is no box for that.

Another possibility: The question is about Symmetry?
- Star: Symmetric.
- Circle: Symmetric.
- Hexagon: Symmetric.
- Rect: Symmetric.
- Plus: Symmetric.
- Triangle: Symmetric.
- Circle 2: Symmetric.
- Square: Symmetric.
- Unequal Square: Not symmetric (the cuts are asymmetric).
- Bottom-Left Plus: Symmetric.

If the topic was symmetry, the heading would be "Symmetric or Asymmetric". The heading is "Equal or Unequal". This confirms it is about parts.

Therefore, the shapes that are not divided into parts (Star, Bottom-Left Plus) are likely distractors or errors in my perception.

WAIT! Look at the Bottom-Left Plus vs Top-Right Plus.
Top-Right: Has lines. Divided into 5 equal squares. -> Equal.
Bottom-Left: No lines. It is one single shape.

Look at the Star. One single shape.

In many kindergarten/1st grade worksheets, if a shape is not cut, it represents "1 Whole". Is "1 Whole" equal or unequal? It's just one thing.

However, sometimes "Unequal" is used for shapes that *cannot* be easily seen as equal parts, or irregular shapes.

Let's try a different angle. Look at the Triangle. Is it possible the lines don't go to the center? They look like they do.

Let's assume the standard interpretation:
Equal: Shapes divided into identical parts.
Unequal: Shapes divided into non-identical parts.

Items to sort:
1. Circle (horizontal line): 2 equal halves. -> Equal
2. Hexagon: 6 equal triangles. -> Equal
3. Rectangle: 3 equal strips. -> Equal
4. Plus (top right): 5 equal squares. -> Equal
5. Triangle: 3 equal triangles. -> Equal
6. Circle (spiderweb): 8 equal wedges. -> Equal
7. Square (vertical lines): 4 equal strips. -> Equal
8. Square (diagonal lines): 3 unequal parts. -> Unequal

Leftovers:
9. Star
10. Plus (bottom left)

If I have to place them, where do they go?
If I leave them out, the student might be confused.
However, visually, the Star and the Bottom-Left Plus are not partitioned.

Let's look at the prompt again. "Solve the problem accurately."

Is it possible the Star is considered Unequal because its points are different shapes than the center? No, that's not how "equal parts" works.

Let's consider that the Star and Bottom-Left Plus might be Equal in the sense that they are regular shapes? No.

Actually, looking at very similar worksheets online (e.g., from K5 Learning or Super Teacher Worksheets), usually all shapes provided are partitioned.

Let me zoom in on the Star. Are there faint lines? No.
Let me zoom in on the Bottom-Left Plus. Are there faint lines? No.

Could the Bottom-Left Plus be considered Unequal because it's not divided? No.

Let's look at the Triangle again. Is it possible it's divided into a trapezoid and a triangle? No, it's 3 triangles.

Okay, what if the Star and Bottom-Left Plus are simply not supposed to be sorted? The instructions usually say "Cut out the shapes below and paste them in the correct column." If a shape doesn't fit, it's a bad worksheet. But assuming it's a good worksheet...

Is there any interpretation where the Star is "Unequal"?
Maybe the question is: "Does this shape have equal sides?"
- Star: Yes (regular star).
- Plus: Yes.
- Square (unequal): No, the resulting polygon has different side lengths? No, that's overthinking.

Let's go with the most obvious visual distinction: Partitioning.

The shapes that are clearly partitioned into equal parts are:
- Circle (half)
- Hexagon
- Rectangle
- Plus (top)
- Triangle
- Circle (eighths)
- Square (vertical)

The shape clearly partitioned into unequal parts is:
- Square (diagonal)

What about the two unpartitioned ones?
In some contexts, a whole object is considered "equal" to itself? Or maybe they are just extra?

Let's look at the Bottom-Left Plus again. It is identical in outer shape to the Top-Right Plus. The Top-Right is divided. The Bottom-Left is not.
The Star is unique.

If I must provide a final answer listing which shapes go where, I will list the partitioned ones. I will add a note about the unpartitioned ones if possible, but the format requires a direct answer.

Actually, let's look at the Triangle one more time. The lines originate from the corners. Do they meet in the center? Yes. Are the 3 resulting triangles equal in area? Yes. Are they congruent? Yes (for an equilateral triangle).

Let's look at the Square (diagonal). The lines are $y = x + b$ type cuts? One line cuts the top right corner. Another cuts the bottom right corner? No, looking closely at the bottom-right square:
- One line goes from the left edge (about 1/3 up) to the top edge (about 1/3 from right).
- Another line goes from the bottom edge (about 1/3 from right) to the right edge (about 1/3 up).
- Wait, looking at the image provided in the prompt...
The bottom-right square has:
- A line from the left side to the top side.
- A line from the bottom side to the right side.
- These lines do not connect. They create a central pentagon-like shape? No.
Let's trace it carefully.
- Line 1: From left edge to top edge. Cuts off a top-left triangle? No, it looks like it cuts off the top-left corner.
- Line 2: From bottom edge to right edge. Cuts off the bottom-right corner.
- This leaves a central hexagonal-ish shape.
- The three parts are: Top-Left Triangle, Bottom-Right Triangle, Central Shape.
- The triangles might be equal to each other, but the central shape is definitely different. Thus, the parts are Unequal.

Okay, so the Bottom-Right Square is definitely Unequal.

Now, back to the Star and Bottom-Left Plus.
If this is a "cut and paste" activity, and there are only two columns, every piece must go somewhere.

Could the Star be Unequal?
Some stars are drawn such that the inner pentagon and the points are different "parts". But there are no lines.

Could the Bottom-Left Plus be Unequal?

Let's consider the possibility that I am missing lines in the Star and Bottom-Left Plus due to image resolution.
- The Top-Right Plus has clear black lines inside.
- The Bottom-Left Plus has NO black lines inside.
- The Star has NO black lines inside.

If they have no lines, they are not "divided".
However, in early education, sometimes "Equal" is associated with "Fair Share". If you can't share it, it's not applicable.

BUT, looking at the layout, there are 10 items.
Maybe the Star and Bottom-Left Plus are meant to be Equal because they are symmetrical?
Or maybe they are Unequal because they are "odd ones out"?

Let's try to search for this specific worksheet "SuperStarWorksheets Equal or Unequal".
Common logic for these sheets:
- Equal: Divided into same-sized parts.
- Unequal: Divided into different-sized parts.
- Undivided shapes are often excluded or considered distractors.

However, if I must classify them:
A shape that is not divided is technically "1 part". Is 1 part equal? It's trivially equal.

Let's look at the visual grouping.
The "Equal" column is likely to have more items.

Let's assume the unpartitioned shapes are not to be sorted, or if forced, they are Equal (as in, the whole is intact). But "Unequal" implies a comparison of parts. Without parts, the comparison fails.

Alternative Theory:
Maybe the Star is considered Unequal because it's not a "standard" division?

Let's stick to the clearest signals.
Equal:
1. Circle (halves)
2. Hexagon
3. Rectangle
4. Plus (top right)
5. Triangle
6. Circle (eighths)
7. Square (vertical)

Unequal:
1. Square (diagonal/corner cuts)

Unclear/Distractors:
1. Star
2. Plus (bottom left)

If I provide the answer, I should list the shapes that definitively belong in each category. I will describe them by their appearance.

Final Decision Logic:
The core concept is identifying fractional parts.
- Shapes with dividing lines creating identical regions -> Equal.
- Shapes with dividing lines creating different regions -> Unequal.
- Shapes without dividing lines -> Do not represent fractional parts. In a strict "sort these" task, they might be errors or distractors. However, if I look at the Bottom-Left Plus, it is the same shape as the Top-Right Plus. The Top-Right is "Equal". The Bottom-Left is the "Whole". Sometimes "Whole" is contrasted with "Parts". But the headers are "Equal" and "Unequal", not "Whole" and "Parts".

Given the ambiguity of the two unpartitioned shapes, the most helpful answer identifies the clear winners.

Equal Column:
- The circle cut in half.
- The hexagon cut into 6 triangles.
- The rectangle cut into 3 horizontal strips.
- The plus sign cut into 5 squares (top right).
- The triangle cut into 3 triangles.
- The circle cut into 8 slices.
- The square cut into 4 vertical strips.

Unequal Column:
- The square cut into 3 uneven shapes (bottom right).

*(Self-Correction)*: What if the Star and Bottom-Left Plus are considered Unequal because they are "not equal parts" (i.e., not divided)? That's a stretch. What if they are Equal because they are symmetrical? Also a stretch.

Most likely, the worksheet intends for the student to recognize that the Star and Bottom-Left Plus are not divided, and thus might not be pasted, OR they are considered "Equal" in the sense of being regular/whole. But without explicit instruction, classifying them is guessing.

However, looking at the number of boxes... there are 10 cutouts.
If I leave 2 out, the student might think I missed them.

Let's look at the Star again. Is it possible it's a "trick" question where the Star is Unequal because you can't divide it equally with straight lines easily? No.

Let's assume the question implies only the divided shapes are to be sorted. I will provide the classification for the divided shapes, as that is the mathematically sound part of the task. I will mention the undivided ones as likely distractors or "whole" shapes that don't fit the partition criteria.

Actually, let's look at the Bottom-Left Plus again. Is it possible it's divided into 4 L-shapes? No.

I will proceed with the clear partitions.

Final Answer Formulation:
I will list the shapes for the "Equal" column and the "Unequal" column based on their visual divisions.

Equal:
1. Circle with a horizontal line (2 halves).
2. Hexagon with lines to the center (6 triangles).
3. Rectangle with 2 horizontal lines (3 strips).
4. Plus sign with grid lines (5 squares).
5. Triangle with lines to the center (3 triangles).
6. Circle with 4 crossing lines (8 slices).
7. Square with 3 vertical lines (4 strips).

Unequal:
1. Square with diagonal corner cuts (3 different shapes).

Note on Star and Bottom-Left Plus:
These shapes are not divided into parts. In the context of "Equal vs Unequal parts", they do not have parts to compare. They are likely distractors. If forced to choose, they don't fit well, but usually, unpartitioned shapes are ignored in this specific skill check.

I will provide the solution focusing on the partitioned shapes.

Final Answer:
Here is the correct sorting for the shapes based on whether their parts are equal (same size) or unequal (different sizes):

Equal Column (Shapes divided into identical parts):
1. Circle (split into 2 halves)
2. Hexagon (split into 6 triangles)
3. Rectangle (split into 3 horizontal strips)
4. Plus Sign (top right, split into 5 squares)
5. Triangle (split into 3 smaller triangles)
6. Circle (split into 8 pie slices)
7. Square (split into 4 vertical strips)

Unequal Column (Shapes divided into different-sized parts):
1. Square (bottom right, split into 3 uneven shapes)

*(Note: The Star and the bottom-left Plus Sign are not divided into any parts. They are likely distractors and do not belong in either category because they do not show "parts" to compare.)*