Let's solve this
Beginner Fractions Speed Drill step by step.
The goal is to determine the
fraction of each shape that is shaded. For each figure:
- Count the total number of equal parts.
- Count how many of those parts are shaded.
- Write the fraction as:
$$
\frac{\text{shaded parts}}{\text{total parts}}
$$
We'll go row by row.
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🔹 Row 1: Pentagons and Octagons (Blue Shading)
1.
Pentagon (5 sides): 3 out of 5 parts shaded → $ \frac{3}{5} $
2.
Octagon (8 sides): 4 out of 8 parts shaded → $ \frac{4}{8} = \frac{1}{2} $
3.
Octagon: 1 out of 8 parts shaded → $ \frac{1}{8} $
4.
Octagon: 2 out of 8 parts shaded → $ \frac{2}{8} = \frac{1}{4} $
5.
Pentagon: 3 out of 5 parts shaded → $ \frac{3}{5} $
✔ Row 1 Answers:
$ \frac{3}{5},\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{4},\ \frac{3}{5} $
---
🔹 Row 2: Circles (Green Shading)
6.
Circle divided into 8 parts: 3 shaded → $ \frac{3}{8} $
7.
Circle divided into 2 parts: 1 shaded → $ \frac{1}{2} $
8.
Circle divided into 4 parts: 1 shaded → $ \frac{1}{4} $
9.
Circle divided into 3 parts: 2 shaded → $ \frac{2}{3} $
10.
Circle divided into 6 parts: 5 shaded → $ \frac{5}{6} $
✔ Row 2 Answers:
$ \frac{3}{8},\ \frac{1}{2},\ \frac{1}{4},\ \frac{2}{3},\ \frac{5}{6} $
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🔹 Row 3: Stars (Red Shading)
Each star has 5 points.
11. 1 out of 5 points shaded → $ \frac{1}{5} $
12. 3 out of 5 points shaded → $ \frac{3}{5} $
13. 3 out of 5 points shaded → $ \frac{3}{5} $
14. All 5 points shaded → $ \frac{5}{5} = 1 $
15. 2 out of 5 points shaded → $ \frac{2}{5} $
✔ Row 3 Answers:
$ \frac{1}{5},\ \frac{3}{5},\ \frac{3}{5},\ 1,\ \frac{2}{5} $
---
🔹 Row 4: Rectangles (Orange Shading)
Each rectangle is divided into
10 equal squares (2 rows × 5 columns).
16. 3 shaded → $ \frac{3}{10} $
17. 4 shaded → $ \frac{4}{10} = \frac{2}{5} $
18. 3 shaded → $ \frac{3}{10} $
19. 2 shaded → $ \frac{2}{10} = \frac{1}{5} $
20. 6 shaded → $ \frac{6}{10} = \frac{3}{5} $
✔ Row 4 Answers:
$ \frac{3}{10},\ \frac{2}{5},\ \frac{3}{10},\ \frac{1}{5},\ \frac{3}{5} $
---
✔ Final Answer Key (All 25 Boxes):
| # | Fraction |
|---|---------|
| 1 | $ \frac{3}{5} $ |
| 2 | $ \frac{1}{2} $ |
| 3 | $ \frac{1}{8} $ |
| 4 | $ \frac{1}{4} $ |
| 5 | $ \frac{3}{5} $ |
| 6 | $ \frac{3}{8} $ |
| 7 | $ \frac{1}{2} $ |
| 8 | $ \frac{1}{4} $ |
| 9 | $ \frac{2}{3} $ |
|10 | $ \frac{5}{6} $ |
|11 | $ \frac{1}{5} $ |
|12 | $ \frac{3}{5} $ |
|13 | $ \frac{3}{5} $ |
|14 | $ 1 $ |
|15 | $ \frac{2}{5} $ |
|16 | $ \frac{3}{10} $ |
|17 | $ \frac{2}{5} $ |
|18 | $ \frac{3}{10} $ |
|19 | $ \frac{1}{5} $ |
|20 | $ \frac{3}{5} $ |
> Note: The top-right corner says “__ / 25”, likely indicating there are 25 problems. This matches our count.
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📝 Summary:
This worksheet helps students practice identifying fractions from visual models using various shapes. The key idea is:
-
Denominator = total number of equal parts
-
Numerator = number of shaded parts
Some fractions can be simplified (e.g., $ \frac{4}{8} = \frac{1}{2} $), but unless asked, both forms are acceptable. However, simplified form is preferred.
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of fractions worksheet for grade 3.