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Question (1)

QN0020012

Fractals are geometric shapes that show ________.

(A) symmetry only
(B) self-similarity
(C) reflection only
(D) rotation only

Correct Answer: B

Explanation:

Fractals are self-similar shapes that repeat similar patterns at different scales.

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Question (2)

QN0020013

Which of the following is an example of a fractal found in nature?

(A) Brick wall
(B) Fern
(C) Football
(D) Book

Correct Answer: B

Explanation:

A fern shows self-similar patterns in its leaves and sub-leaves.

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Question (3)

QN0020014

In a fractal, similar patterns appear at ________.

(A) one scale only
(B) larger scales only
(C) smaller and smaller scales
(D) random scales only

Correct Answer: C

Explanation:

Fractals repeat similar patterns at progressively smaller scales.

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Question (4)

QN0020015

The Sierpinski Carpet was discovered by the Polish mathematician ________.

(A) Euclid
(B) Pythagoras
(C) Sierpinski
(D) Archimedes

Correct Answer: C

Explanation:

The fractal is named after the mathematician Sierpinski.

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Question (5)

QN0020016

The Koch Snowflake was first described by ________.

(A) Von Koch
(B) Newton
(C) Euler
(D) Gauss

Correct Answer: A

Explanation:

The Koch Snowflake was described by the Swedish mathematician Von Koch.

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Question (6)

QN0020017

A fractal is a self-similar shape that exhibits the same or similar pattern over and over again at ________.

(A) equal scales
(B) larger scales
(C) smaller scales
(D) no scales

Correct Answer: C

Explanation:

Self-similar patterns repeat at smaller scales.

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Question (7)

QN0020018

In the Sierpinski Carpet, a square is first divided into ________ equal smaller squares.

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

Correct Answer: C

Explanation:

The square is divided into a 3 × 3 grid, making 9 smaller squares.

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Question (8)

QN0020019

In the first step of constructing a Sierpinski Carpet, which square is removed?

(A) Corner square
(B) Edge square
(C) Central square
(D) All corner squares

Correct Answer: C

Explanation:

The central square is removed in every iteration.

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Question (9)

QN0020020

If Rn represents the number of remaining squares in the Sierpinski Carpet, then R₂ equals:

(A) 16
(B) 64
(C) 81
(D) 72

Correct Answer: B

Explanation:

R₂ = 8² = 64.

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Question (10)

QN0020021

The number of remaining squares in Step 3 of the Sierpinski Carpet is:

(A) 512
(B) 216
(C) 729
(D) 343

Correct Answer: A

Explanation:

R₃ = 8³ = 512.

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Question (1)

Fractals are geometric shapes that show ________.

Explanation:

Link:

Question (2)

Which of the following is an example of a fractal found in nature?

Explanation:

Link:

Question (3)

In a fractal, similar patterns appear at ________.

Explanation:

Link:

Question (4)

The Sierpinski Carpet was discovered by the Polish mathematician ________.

Explanation:

Link:

Question (5)

The Koch Snowflake was first described by ________.

Explanation:

Link:

Question (6)

A fractal is a self-similar shape that exhibits the same or similar pattern over and over again at ________.

Explanation:

Link:

Question (7)

In the Sierpinski Carpet, a square is first divided into ________ equal smaller squares.

Explanation:

Link:

Question (8)

In the first step of constructing a Sierpinski Carpet, which square is removed?

Explanation:

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Question (9)

If Rn represents the number of remaining squares in the Sierpinski Carpet, then R₂ equals:

Explanation:

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Question (10)

The number of remaining squares in Step 3 of the Sierpinski Carpet is:

Explanation:

Link:

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