Preschool Math Worksheets - Free Printable

Let’s count each shape carefully.

First, look for triangles (▲):
- There is one triangle on top of the smokestack.
- There is one triangle at the front of the train (the nose).
→ That’s 2 triangles.

Next, squares (■):
Wait — in the image, some shapes are squares and some are rectangles. But the key shows a small square symbol (■) and a rectangle symbol (▭). Let’s check what’s actually drawn:

Looking at the train:
- The three windows on the side: they look like squares.
- The cabin on top (above the engine): that’s a square.
- The base of the smokestack: that’s a rectangle? Wait — let’s be precise.

Actually, looking again:

Shapes present:

1. Triangles:
- Top of smokestack → 1
- Front of train → 1
→ Total = 2

2. Circles (●):
- Wheels under the train → there are 4 wheels
→ Total = 4

3. Squares (■):
- Three windows on the main body → all same size, likely squares
- Cabin on top (above the engine) → also a square
→ That’s 4 squares? Wait — let’s double-check.

But wait — the key has two different gray shapes:
- One is a small square (■)
- One is a rectangle (▭)

So we must distinguish between squares and rectangles.

Look at the train:

- The three windows: they appear to be squares (equal sides).
- The cabin on top: also appears to be a square.
- The base of the smokestack: it’s taller than wide → that’s a rectangle.
- The main body of the train: long horizontal shape → that’s a rectangle.
- The part behind the front triangle (before the wheels): vertical shape → might be a rectangle or square? Actually, it looks like a rectangle because it’s taller than wide? Wait — no, let’s compare.

Actually, let’s list every shape clearly:

Breakdown by actual geometric shape:

✔ Triangles:
- Smokestack top → 1
- Train front → 1
→ 2 triangles

✔ Circles:
- Four wheels → 4 circles

✔ Squares (all sides equal):
- Window 1 → square
- Window 2 → square
- Window 3 → square
- Cabin on top → square
→ 4 squares

✔ Rectangles (opposite sides equal, but not all sides equal):
- Base of smokestack → rectangle (taller than wide)
- Main body of train → long rectangle
- Vertical section between main body and front triangle → this is a rectangle (taller than wide)
→ 3 rectangles

Wait — let me recount the rectangles:

1. Smokestack base → rectangle
2. Main train body → rectangle
3. The piece connecting the main body to the front triangle → yes, that’s a rectangle (vertical)

Is there any other? What about the cabin? No, we counted that as a square.

What about the windows? We said they’re squares — if they were rectangles, the problem would have labeled them differently. Since the key separates square and rectangle, we assume the windows are squares.

Also, the very back part? No, the train ends with the main body.

Another way: total shapes used to build the train:

- Triangles: 2
- Circles: 4
- Squares: 4 (3 windows + 1 cabin)
- Rectangles: 3 (smokestack base, main body, front connector)

That adds up to 2+4+4+3 = 13 shapes — which seems reasonable.

But let’s verify with the key provided in the worksheet:

The key shows:

- ▲ ___ → triangles
- ■ ___ → squares
- ● ___ → circles
- ▭ ___ → rectangles

So we fill in:

Triangles: 2
Squares: 4
Circles: 4
Rectangles: 3

Wait — I think I made a mistake.

Look again at the “front connector” — the vertical piece between the main body and the front triangle. Is that a rectangle or a square?

In the drawing, it looks like its height equals the width of the main body, but its width is less than its height? Actually, comparing visually:

The main body is long horizontally.

The front connector is tall vertically — so definitely a rectangle.

Smokestack base: short and tall → rectangle.

Main body: long and short → rectangle.

Now, what about the cabin on top? It sits on the main body. Its width matches one window? Probably same as window → square.

Windows: all same size → squares.

So yes:

Squares: 3 windows + 1 cabin = 4

Rectangles: smokestack base, main body, front connector = 3

But wait — is the “front connector” actually part of the main body? Or separate?

Looking at the outline: the main body is one big rectangle. Then attached to its right end is a smaller vertical rectangle, then the triangle.

Yes, so three distinct rectangles.

Alternatively, maybe the “main body” includes the front connector? No, because the front connector is outlined separately.

To be absolutely sure, let’s label each component:

Components of the train:

1. Smokestack: composed of
- Triangle (top)
- Rectangle (base)

2. Cabin: square on top of main body

3. Main body: large rectangle with 3 square windows inside

4. Front section:
- Vertical rectangle (connector)
- Triangle (nose)

5. Wheels: 4 circles

So:

- Triangles: 2 (smokestack top + nose)
- Circles: 4
- Squares: 3 (windows) + 1 (cabin) = 4
- Rectangles: 1 (smokestack base) + 1 (main body) + 1 (front connector) = 3

Yes.

Therefore:

▲ (triangles) = 2
■ (squares) = 4
● (circles) = 4
▭ (rectangles) = 3

Final Answer:

▲ 2
■ 4
● 4
▭ 3