Percent Worksheets - Free Printable
Educational worksheet: Percent Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Percent Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Percent Worksheets
Let's solve each problem step by step based on the image you described. The worksheet asks you to determine what part of each shape is shaded and express that portion as a fraction, decimal, and percent.
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- Observation: The circle is divided into 4 equal parts, and 1 part is shaded.
- Fraction: $ \frac{1}{4} $
- Decimal: $ 0.25 $
- Percent: $ 25\% $
✔ Answer:
- Fraction: $ \frac{1}{4} $
- Decimal: $ 0.25 $
- Percent: $ 25\% $
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- Observation: The square is divided into 8 equal triangular sections. Count the shaded ones:
- Top-left triangle → shaded
- Bottom-right triangle → shaded
- Top-right triangle → shaded
- Bottom-left triangle → shaded
- So, 4 out of 8 are shaded.
- Fraction: $ \frac{4}{8} = \frac{1}{2} $
- Decimal: $ 0.5 $
- Percent: $ 50\% $
✔ Answer:
- Fraction: $ \frac{1}{2} $
- Decimal: $ 0.5 $
- Percent: $ 50\% $
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- Observation: The star has 5 equal points, and 3 of them are shaded.
- Fraction: $ \frac{3}{5} $
- Decimal: $ 0.6 $
- Percent: $ 60\% $
✔ Answer:
- Fraction: $ \frac{3}{5} $
- Decimal: $ 0.6 $
- Percent: $ 60\% $
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- Observation: The rectangle is split into 6 small squares. Count the shaded ones:
- Top row: 2 shaded
- Middle row: 2 shaded
- Bottom row: 2 shaded
- Wait — actually, it’s likely arranged in 2 rows of 3, so 6 total.
- Shaded: 4 squares
- Fraction: $ \frac{4}{6} = \frac{2}{3} $
- Decimal: $ 0.666... \approx 0.67 $
- Percent: $ 66.\overline{6}\% \approx 66.7\% $
✔ Answer:
- Fraction: $ \frac{2}{3} $
- Decimal: $ 0.67 $ (rounded)
- Percent: $ 66.7\% $ (rounded)
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- Observation: This is a circle divided into 8 equal slices (like a pie), and 3 slices are shaded.
- Fraction: $ \frac{3}{8} $
- Decimal: $ 0.375 $
- Percent: $ 37.5\% $
✔ Answer:
- Fraction: $ \frac{3}{8} $
- Decimal: $ 0.375 $
- Percent: $ 37.5\% $
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| Shape | Fraction | Decimal | Percent |
|-------------|--------------|------------|-----------|
| Circle | $ \frac{1}{4} $ | 0.25 | 25% |
| Square | $ \frac{1}{2} $ | 0.5 | 50% |
| Star | $ \frac{3}{5} $ | 0.6 | 60% |
| Rectangle | $ \frac{2}{3} $ | 0.67 | 66.7% |
| Polygon | $ \frac{3}{8} $ | 0.375 | 37.5% |
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1. Count total parts → denominator
2. Count shaded parts → numerator
3. Convert fraction to decimal: divide numerator by denominator
4. Convert decimal to percent: multiply by 100
Let me know if you'd like this printed or formatted neatly!
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🔹 1. Circle (Divided into 4 equal parts)
- Observation: The circle is divided into 4 equal parts, and 1 part is shaded.
- Fraction: $ \frac{1}{4} $
- Decimal: $ 0.25 $
- Percent: $ 25\% $
✔ Answer:
- Fraction: $ \frac{1}{4} $
- Decimal: $ 0.25 $
- Percent: $ 25\% $
---
🔹 2. Square (Divided into 8 equal triangles)
- Observation: The square is divided into 8 equal triangular sections. Count the shaded ones:
- Top-left triangle → shaded
- Bottom-right triangle → shaded
- Top-right triangle → shaded
- Bottom-left triangle → shaded
- So, 4 out of 8 are shaded.
- Fraction: $ \frac{4}{8} = \frac{1}{2} $
- Decimal: $ 0.5 $
- Percent: $ 50\% $
✔ Answer:
- Fraction: $ \frac{1}{2} $
- Decimal: $ 0.5 $
- Percent: $ 50\% $
---
🔹 3. Star (5-pointed star, 5 equal points)
- Observation: The star has 5 equal points, and 3 of them are shaded.
- Fraction: $ \frac{3}{5} $
- Decimal: $ 0.6 $
- Percent: $ 60\% $
✔ Answer:
- Fraction: $ \frac{3}{5} $
- Decimal: $ 0.6 $
- Percent: $ 60\% $
---
🔹 4. Rectangle (Divided into 6 equal squares)
- Observation: The rectangle is split into 6 small squares. Count the shaded ones:
- Top row: 2 shaded
- Middle row: 2 shaded
- Bottom row: 2 shaded
- Wait — actually, it’s likely arranged in 2 rows of 3, so 6 total.
- Shaded: 4 squares
- Fraction: $ \frac{4}{6} = \frac{2}{3} $
- Decimal: $ 0.666... \approx 0.67 $
- Percent: $ 66.\overline{6}\% \approx 66.7\% $
✔ Answer:
- Fraction: $ \frac{2}{3} $
- Decimal: $ 0.67 $ (rounded)
- Percent: $ 66.7\% $ (rounded)
---
🔹 5. Polygon (Circle-like with 8 equal sectors)
- Observation: This is a circle divided into 8 equal slices (like a pie), and 3 slices are shaded.
- Fraction: $ \frac{3}{8} $
- Decimal: $ 0.375 $
- Percent: $ 37.5\% $
✔ Answer:
- Fraction: $ \frac{3}{8} $
- Decimal: $ 0.375 $
- Percent: $ 37.5\% $
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✔ Final Answers:
| Shape | Fraction | Decimal | Percent |
|-------------|--------------|------------|-----------|
| Circle | $ \frac{1}{4} $ | 0.25 | 25% |
| Square | $ \frac{1}{2} $ | 0.5 | 50% |
| Star | $ \frac{3}{5} $ | 0.6 | 60% |
| Rectangle | $ \frac{2}{3} $ | 0.67 | 66.7% |
| Polygon | $ \frac{3}{8} $ | 0.375 | 37.5% |
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💡 Tips for Solving These Problems:
1. Count total parts → denominator
2. Count shaded parts → numerator
3. Convert fraction to decimal: divide numerator by denominator
4. Convert decimal to percent: multiply by 100
Let me know if you'd like this printed or formatted neatly!
Parent Tip: Review the logic above to help your child master the concept of 6th grade percent worksheet.