Non-Unit Fractions - Worksheet | Maths Year 2 - Free Printable

Let's solve the problems step by step.

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1. Find the fraction represented by the shaded part of each shape.

#### a)
- The triangle is divided into 4 equal parts, and 1 part is shaded.
- Fraction: \( \frac{1}{4} \)

#### b)
- The square is divided into 4 equal parts, and 3 parts are shaded.
- Fraction: \( \frac{3}{4} \)

#### c)
- The circle is divided into 4 equal parts, and 2 parts are shaded.
- Fraction: \( \frac{2}{4} \) (which can be simplified to \( \frac{1}{2} \))

#### d)
- The parallelogram is divided into 2 equal parts, and 1 part is shaded.
- Fraction: \( \frac{1}{2} \)

Answers:
a) \( \frac{1}{4} \)
b) \( \frac{3}{4} \)
c) \( \frac{2}{4} \) or \( \frac{1}{2} \)
d) \( \frac{1}{2} \)

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2. Sort the shapes below into unit fractions and non-unit fractions.

#### Unit Fractions:
- A unit fraction has a numerator of 1.
- Shapes with unit fractions: B, C, E, F

#### Non-Unit Fractions:
- Non-unit fractions have numerators greater than 1.
- Shapes with non-unit fractions: A, D, G, H

Answers:
- Unit Fraction: B, C, E, F
- Non-Unit Fraction: A, D, G, H

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3. Shade the shapes to represent the fraction.

#### a) \( \frac{2}{4} \)
- Divide the square into 4 equal parts and shade 2 parts.

#### b) \( \frac{3}{3} \)
- Divide the circle into 3 equal parts and shade all 3 parts.

#### c) \( \frac{3}{4} \)
- Divide the cross into 4 equal parts and shade 3 parts.

#### d) \( \frac{2}{3} \)
- Divide the hexagon into 3 equal parts and shade 2 parts.

Shading Instructions:
- a) Shade 2 out of 4 squares.
- b) Shade all 3 parts of the circle.
- c) Shade 3 out of 4 parts of the cross.
- d) Shade 2 out of 3 parts of the hexagon.

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4. Draw a line to match the fraction to the correct picture.

#### a) \( \frac{3}{4} \)
- Matches the first image (3 out of 4 squares shaded).

#### b) \( \frac{3}{3} \)
- Matches the second image (all 3 hexagons shaded).

#### c) \( \frac{2}{3} \)
- Matches the fourth image (2 out of 3 triangles shaded).

#### d) \( \frac{2}{4} \)
- Matches the third image (2 out of 4 rectangles shaded).

#### e) \( \frac{1}{3} \)
- Matches the fifth image (1 out of 3 vertical bars shaded).

#### f) \( \frac{1}{4} \)
- Matches the sixth image (1 out of 4 triangles shaded).

Matching:
- \( \frac{3}{4} \) → First image
- \( \frac{3}{3} \) → Second image
- \( \frac{2}{3} \) → Fourth image
- \( \frac{2}{4} \) → Third image
- \( \frac{1}{3} \) → Fifth image
- \( \frac{1}{4} \) → Sixth image

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5. Circle the odd one out.

The shapes are:
1. A yellow flower-like shape.
2. A yellow pie chart with 3 sections.
3. A yellow cross.
4. A white "L" shape.

The odd one out is the white "L" shape because it is the only shape that is not yellow.

Answer:
Circle the white "L" shape.

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6. True or false? Explain why.

#### Statement:
"Three thirds of the circle are shaded."

#### Explanation:
- Three thirds (\( \frac{3}{3} \)) means the entire circle is shaded.
- In the given image, the entire circle is indeed shaded.

Answer:
True. The entire circle is shaded, which represents \( \frac{3}{3} \).

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Final Answers:

1. a) \( \frac{1}{4} \), b) \( \frac{3}{4} \), c) \( \frac{2}{4} \) or \( \frac{1}{2} \), d) \( \frac{1}{2} \)
2. Unit Fraction: B, C, E, F; Non-Unit Fraction: A, D, G, H
3. Shading as described above.
4. Matching as described above.
5. Circle the white "L" shape.
6. True. The entire circle is shaded, which represents \( \frac{3}{3} \).

Boxed Final Answer:
\[
\boxed{\text{See detailed solutions above.}}
\]