Class 8 Mathematics Chapter 4: Exploring Some Geometric Themes — practice questions with answers
Free practice for Class 8 Mathematics, Chapter 4: Exploring Some Geometric Themes. Try the solved questions below, then take a free test with instant marking and explanations.
51 questions13 easy, 28 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Shapes that show the same pattern again and again at smaller and smaller scales are called ______.
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Answer: fractals
Why: The fern is a natural example. [p.70]
Why: The fern is a natural example. [p.70]
Q2. Why is a fern called a fractal?
- Its leaves are smaller copies of the whole, and those have even smaller copies
- It is green
- It has straight edges
- It is a triangle
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Answer: A. Its leaves are smaller copies of the whole, and those have even smaller copies
Why: Self-similarity is the key property. [p.70]
Why: Self-similarity is the key property. [p.70]
Q3. In the Sierpinski Carpet, a square is split into 9 and the centre removed. How many small squares remain after Step 1?
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Answer: 8 (± 0)
Why: 9 − 1 = 8. [p.71]
Why: 9 − 1 = 8. [p.71]
Q4. Joining the midpoints of an equilateral triangle divides it into how many identical equilateral triangles?
- 4
- 3
- 2
- 6
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Answer: A. 4
Why: The central one is removed in the gasket. [p.72]
Why: The central one is removed in the gasket. [p.72]
Q5. Which artist made ‘Smaller and Smaller’, with lizards repeating at smaller scales?
- M.C. Escher
- Picasso
- Raja Ravi Varma
- Leonardo da Vinci
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Answer: A. M.C. Escher
Why: Escher is called the modern maestro of fractal art. [p.75]
Why: Escher is called the modern maestro of fractal art. [p.75]
Q6. The flat surfaces that form the boundary of a solid like a cube are called its ______.
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Answer: faces
Why: Edges are the sides of faces; vertices are where edges meet. [p.78]
Why: Edges are the sides of faces; vertices are where edges meet. [p.78]
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Frequently asked questions
How many practice questions are there for Class 8 Mathematics Chapter 4: Exploring Some Geometric Themes?
51 questions (13 easy, 28 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 8 Mathematics syllabus, used by CBSE and many state boards.