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Question (31)

QN0020042

After Step 1 of the Koch Snowflake, the perimeter becomes:

(A) 3 units
(B) 4 units
(C) 5 units
(D) 6 units

Correct Answer: B

Explanation:

New perimeter = 3 × (4/3) = 4 units.

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Question (32)

QN0020043

After Step 2 of the Koch Snowflake, the perimeter is:

(A) 16/3 units
(B) 8/3 units
(C) 4 units
(D) 6 units

Correct Answer: A

Explanation:

Perimeter = 4 × (4/3) = 16/3 units.

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Question (33)

QN0020044

Which of the following natural objects exhibits self-similarity?

(A) Cloud
(B) Pencil
(C) Eraser
(D) Spoon

Correct Answer: A

Explanation:

Clouds often show self-similar fractal patterns.

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Question (34)

QN0020045

Which of the following is NOT mentioned as a natural fractal-like object?

(A) Mountains
(B) Coastlines
(C) Lightning
(D) Chessboard

Correct Answer: D

Explanation:

A chessboard is not a natural fractal-like object.

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Question (35)

QN0020046

The pattern on Nigerian Fulani wedding blankets is known for showing:

(A) symmetry only
(B) fractal structures
(C) tessellations only
(D) reflections only

Correct Answer: B

Explanation:

The blanket patterns contain repeating fractal structures.

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Question (36)

QN0020047

The Kandariya Mahadev Temple demonstrates fractal-like patterns because:

(A) it is circular
(B) it uses mirrors
(C) smaller copies of the structure appear on the larger structure
(D) it has many colours

Correct Answer: C

Explanation:

Smaller copies of the temple structure repeat within the larger design.

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Question (37)

QN0020048

M.C. Escher’s work “Smaller and Smaller” illustrates fractals through:

(A) repeating identical patterns at decreasing scales
(B) only straight lines
(C) circular designs only
(D) random shapes

Correct Answer: A

Explanation:

The same pattern repeats at progressively smaller scales.

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Question (38)

QN0020049

If Rn = 8ⁿ, what is the ratio R₅ : R₄?

(A) 4 : 1
(B) 8 : 1
(C) 9 : 1
(D) 16 : 1

Correct Answer: B

Explanation:

R₅/R₄ = 8⁵/8⁴ = 8.

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Question (39)

QN0020050

If the number of remaining triangles in a Sierpinski Triangle is 3ⁿ, then at Step 4 the number of remaining triangles is:

(A) 64
(B) 72
(C) 81
(D) 243

Correct Answer: C

Explanation:

3⁴ = 81 triangles.

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Question (40)

QN0020051

Which statement best explains why fractals are important?

(A) They only create decorative designs.
(B) They help describe repeating patterns in nature and art.
(C) They are used only in geometry proofs.
(D) They contain no mathematical patterns.

Correct Answer: B

Explanation:

Fractals help model and understand repeating patterns in nature and art.

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Question (31)

After Step 1 of the Koch Snowflake, the perimeter becomes:

Explanation:

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Question (32)

After Step 2 of the Koch Snowflake, the perimeter is:

Explanation:

Link:

Question (33)

Which of the following natural objects exhibits self-similarity?

Explanation:

Link:

Question (34)

Which of the following is NOT mentioned as a natural fractal-like object?

Explanation:

Link:

Question (35)

The pattern on Nigerian Fulani wedding blankets is known for showing:

Explanation:

Link:

Question (36)

The Kandariya Mahadev Temple demonstrates fractal-like patterns because:

Explanation:

Link:

Question (37)

M.C. Escher’s work “Smaller and Smaller” illustrates fractals through:

Explanation:

Link:

Question (38)

If Rn = 8ⁿ, what is the ratio R₅ : R₄?

Explanation:

Link:

Question (39)

If the number of remaining triangles in a Sierpinski Triangle is 3ⁿ, then at Step 4 the number of remaining triangles is:

Explanation:

Link:

Question (40)

Which statement best explains why fractals are important?

Explanation:

Link:

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