JKBOSE Class 3rd Math Chapter 5 (Shapes and Designs) complete solved exercises, textbook questions on edges, corners, tangram puzzles, and tiling patterns according to the latest Jammu & Kashmir Board curriculum.
📌 Key Concepts
- Edges and Corners: Differentiating between straight edges (like tables, books) and curved edges (like wheels, balls).
- Corners in Shapes: Curved shapes have no corners, whereas straight-edged shapes have corners.
- Tangram: An ancient Chinese puzzle made of geometric pieces (5-piece or 7-piece tangram) used to form animal, human, and geometric figures.
- Tiling Patterns (Tessellation): Covering a floor or surface completely with recurring tiles without gaps or overlaps.
Exercise Questions & Answers
Q1 Look at the objects around you and identify their edges and corners:
1. Book: Straight edges = 12 edges, Corners = 8 corners.
2. Ball: Curved edge = 1 curved surface, Corners = 0 corners.
3. Eraser: Straight edges = 12 edges, Corners = 8 corners.
4. Wheel / Coin: Curved edge = 1 curved edge, Corners = 0 corners.
5. Sheet of paper: Straight edges = 4 edges, Corners = 4 corners.
Q2 Can a shape with only curved lines have corners?
Answer: No, a shape formed solely by curved lines (such as a circle or oval) has no corners.
Q3 What is a Tangram puzzle?
Answer: A Tangram is a traditional Chinese geometric puzzle composed of flat shapes (pieces called tans) cut from a square. By arranging these pieces together without overlapping, different shapes of animals, people, birds, and objects can be formed.
Q4 What shapes are found in a standard 5-piece Tangram?
A standard 5-piece tangram consists of:
• 3 Triangles (varying sizes)
• 1 Square
• 1 Parallelogram