Count the Shapes - Math Worksheets - SplashLearn - Free Printable
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Step-by-step solution for: Count the Shapes - Math Worksheets - SplashLearn
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Show Answer Key & Explanations
Step-by-step solution for: Count the Shapes - Math Worksheets - SplashLearn
Let's carefully analyze the image and count each type of shape in the castle illustration.
---
#### 1. Squares
- Look for shapes with four equal sides and right angles.
- The windows on the red towers: Each tower has 2 yellow squares → 2 per tower × 2 towers = 4 squares.
- Are there any other squares?
- The tops of the towers (the yellow parts under the green triangles) are rectangles, not squares (they are taller than wide).
- The flagpole base is a rectangle, not a square.
- The center yellow section is a large rectangle.
- So, only the 4 window squares qualify.
✔ Squares: 4
---
#### 2. Circles
- Look for round shapes.
- There are 3 blue circles on the yellow center wall.
✔ Circles: 3
---
#### 3. Triangles
- Look for three-sided shapes.
- The green roofs on the two central towers → 2 triangles.
- The flag on top of the flagpole is a green triangle → 1 triangle.
- Are there any others?
- The blue rooftops on the red towers are trapezoids, not triangles.
- No other triangles.
✔ Triangles: 3
---
#### 4. Rectangles
- Look for four-sided shapes with opposite sides equal and right angles.
- Red side towers: Each has:
- A red rectangular door → 2 doors
- The main body of each tower is a rectangle → 2 towers → 2 rectangles
- The top blue roof is a trapezoid, not a rectangle
- Center yellow section:
- The large yellow wall is a rectangle → 1
- The red door in the center → 1 rectangle
- The yellow towers (under green triangles): These are rectangles → 2 rectangles
- The flagpole (red vertical bar) → 1 rectangle
- Flagpole base (yellow part) → already counted as a rectangle? Yes, it's a small yellow rectangle beneath the flag → 1
- Let's list them:
1. Left red tower body → 1
2. Right red tower body → 1
3. Left red door → 1
4. Right red door → 1
5. Center yellow wall → 1
6. Center red door → 1
7. Left yellow tower (under green triangle) → 1
8. Right yellow tower (under green triangle) → 1
9. Flagpole (red) → 1
10. Flagpole base (yellow) → 1
- Wait — is the flagpole base separate from the yellow towers? It’s a small yellow rectangle between the two green triangles → yes, it's a distinct rectangle.
- Also, the two yellow towers are separate from the flagpole base.
- So total rectangles:
- 2 side towers (bodies)
- 2 doors (side)
- 1 center wall
- 1 center door
- 2 yellow towers (under green triangles)
- 1 flagpole (red)
- 1 flagpole base (yellow)
→ That’s 10 rectangles?
Wait — let’s double-check:
Actually, let’s re-evaluate more clearly:
- Left red tower body: rectangle → 1
- Right red tower body: rectangle → 1
- Left red door: rectangle → 1
- Right red door: rectangle → 1
- Center yellow wall: rectangle → 1
- Center red door: rectangle → 1
- Left yellow tower (under green triangle): rectangle → 1
- Right yellow tower (under green triangle): rectangle → 1
- Flagpole (red): rectangle → 1
- Flagpole base (yellow): rectangle → 1
So that’s 10 rectangles.
But wait — are the yellow towers (under green triangles) actually rectangles? Yes, they are tall and narrow, so they’re rectangles.
Also, the flagpole is a red rectangle.
And the flagpole base is a yellow rectangle.
So yes, 10 rectangles.
But let’s check if any of these are overlapping or miscounted.
Alternatively, maybe the flagpole base is part of the center yellow wall? But no — it's a separate block.
So we have:
✔ Rectangles: 10
---
#### 5. Trapezoids
- Look for quadrilaterals with one pair of parallel sides (usually wider at the bottom).
- The blue rooftops on the red towers: both are trapezoids (wider at the bottom, narrower at the top).
- Are there any others?
- The green roofs? No — they are triangles.
- The yellow towers? No — they are rectangles.
- The flag? Triangle.
- The flagpole? Rectangle.
- So only the two blue rooftops are trapezoids.
✔ Trapezoids: 2
---
- Squares: 4
- Circles: 3
- Triangles: 3
- Rectangles: 10
- Trapezoids: 2
---
```
Squares 4
Circles 3
Triangles 3
Rectangles 10
Trapezoids 2
```
---
Step-by-step Shape Count:
#### 1. Squares
- Look for shapes with four equal sides and right angles.
- The windows on the red towers: Each tower has 2 yellow squares → 2 per tower × 2 towers = 4 squares.
- Are there any other squares?
- The tops of the towers (the yellow parts under the green triangles) are rectangles, not squares (they are taller than wide).
- The flagpole base is a rectangle, not a square.
- The center yellow section is a large rectangle.
- So, only the 4 window squares qualify.
✔ Squares: 4
---
#### 2. Circles
- Look for round shapes.
- There are 3 blue circles on the yellow center wall.
✔ Circles: 3
---
#### 3. Triangles
- Look for three-sided shapes.
- The green roofs on the two central towers → 2 triangles.
- The flag on top of the flagpole is a green triangle → 1 triangle.
- Are there any others?
- The blue rooftops on the red towers are trapezoids, not triangles.
- No other triangles.
✔ Triangles: 3
---
#### 4. Rectangles
- Look for four-sided shapes with opposite sides equal and right angles.
- Red side towers: Each has:
- A red rectangular door → 2 doors
- The main body of each tower is a rectangle → 2 towers → 2 rectangles
- The top blue roof is a trapezoid, not a rectangle
- Center yellow section:
- The large yellow wall is a rectangle → 1
- The red door in the center → 1 rectangle
- The yellow towers (under green triangles): These are rectangles → 2 rectangles
- The flagpole (red vertical bar) → 1 rectangle
- Flagpole base (yellow part) → already counted as a rectangle? Yes, it's a small yellow rectangle beneath the flag → 1
- Let's list them:
1. Left red tower body → 1
2. Right red tower body → 1
3. Left red door → 1
4. Right red door → 1
5. Center yellow wall → 1
6. Center red door → 1
7. Left yellow tower (under green triangle) → 1
8. Right yellow tower (under green triangle) → 1
9. Flagpole (red) → 1
10. Flagpole base (yellow) → 1
- Wait — is the flagpole base separate from the yellow towers? It’s a small yellow rectangle between the two green triangles → yes, it's a distinct rectangle.
- Also, the two yellow towers are separate from the flagpole base.
- So total rectangles:
- 2 side towers (bodies)
- 2 doors (side)
- 1 center wall
- 1 center door
- 2 yellow towers (under green triangles)
- 1 flagpole (red)
- 1 flagpole base (yellow)
→ That’s 10 rectangles?
Wait — let’s double-check:
Actually, let’s re-evaluate more clearly:
- Left red tower body: rectangle → 1
- Right red tower body: rectangle → 1
- Left red door: rectangle → 1
- Right red door: rectangle → 1
- Center yellow wall: rectangle → 1
- Center red door: rectangle → 1
- Left yellow tower (under green triangle): rectangle → 1
- Right yellow tower (under green triangle): rectangle → 1
- Flagpole (red): rectangle → 1
- Flagpole base (yellow): rectangle → 1
So that’s 10 rectangles.
But wait — are the yellow towers (under green triangles) actually rectangles? Yes, they are tall and narrow, so they’re rectangles.
Also, the flagpole is a red rectangle.
And the flagpole base is a yellow rectangle.
So yes, 10 rectangles.
But let’s check if any of these are overlapping or miscounted.
Alternatively, maybe the flagpole base is part of the center yellow wall? But no — it's a separate block.
So we have:
✔ Rectangles: 10
---
#### 5. Trapezoids
- Look for quadrilaterals with one pair of parallel sides (usually wider at the bottom).
- The blue rooftops on the red towers: both are trapezoids (wider at the bottom, narrower at the top).
- Are there any others?
- The green roofs? No — they are triangles.
- The yellow towers? No — they are rectangles.
- The flag? Triangle.
- The flagpole? Rectangle.
- So only the two blue rooftops are trapezoids.
✔ Trapezoids: 2
---
✔ Final Answer:
- Squares: 4
- Circles: 3
- Triangles: 3
- Rectangles: 10
- Trapezoids: 2
---
✔ Fill in the blanks:
```
Squares 4
Circles 3
Triangles 3
Rectangles 10
Trapezoids 2
```
Parent Tip: Review the logic above to help your child master the concept of counting shapes worksheet.