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Question (21)

QN0020032

If the area of the original square is 1 sq. unit, then the area remaining after Step 2 of the Sierpinski Carpet is:

(A) 64/81
(B) 8/9
(C) 49/81
(D) 16/81

Correct Answer: A

Explanation:

Area remaining = (8/9)² = 64/81.

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Question (22)

QN0020033

If the area of the original triangle is 1 sq. unit, then the area remaining after Step 1 of the Sierpinski Triangle is:

(A) 1/4
(B) 1/2
(C) 3/4
(D) 1

Correct Answer: C

Explanation:

One of four equal triangles is removed, leaving 3/4 area.

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Question (23)

QN0020034

The area remaining after Step 2 of the Sierpinski Triangle is:

(A) 9/16
(B) 3/8
(C) 1/4
(D) 27/64

Correct Answer: A

Explanation:

Area remaining = (3/4)² = 9/16.

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Question (24)

QN0020035

The Koch Snowflake starts with a(n) ________.

(A) square
(B) rectangle
(C) circle
(D) equilateral triangle

Correct Answer: D

Explanation:

Construction begins with an equilateral triangle.

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Question (25)

QN0020036

In the Koch Snowflake, each side is divided into ________ equal parts.

(A) 2
(B) 3
(C) 4
(D) 6

Correct Answer: B

Explanation:

Each side is divided into three equal segments.

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Question (26)

QN0020037

In one iteration of the Koch Snowflake, one side is replaced by ________ sides.

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: C

Explanation:

One side becomes four smaller sides.

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Question (27)

QN0020038

The number of sides in Step 1 of the Koch Snowflake is:

(A) 9
(B) 12
(C) 15
(D) 18

Correct Answer: B

Explanation:

3 × 4 = 12 sides.

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Question (28)

QN0020039

The number of sides in Step 2 of the Koch Snowflake is:

(A) 24
(B) 36
(C) 48
(D) 64

Correct Answer: C

Explanation:

12 × 4 = 48 sides.

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Question (29)

QN0020040

If the original triangle has 3 sides, the number of sides in Step 3 of the Koch Snowflake is:

(A) 96
(B) 144
(C) 192
(D) 256

Correct Answer: C

Explanation:

3 × 4³ = 192 sides.

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Question (30)

QN0020041

If the side length of the starting equilateral triangle is 1 unit, its perimeter is:

(A) 1 unit
(B) 2 units
(C) 3 units
(D) 6 units

Correct Answer: C

Explanation:

Perimeter = 3 × 1 = 3 units.

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Question (21)

If the area of the original square is 1 sq. unit, then the area remaining after Step 2 of the Sierpinski Carpet is:

Explanation:

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Question (22)

If the area of the original triangle is 1 sq. unit, then the area remaining after Step 1 of the Sierpinski Triangle is:

Explanation:

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Question (23)

The area remaining after Step 2 of the Sierpinski Triangle is:

Explanation:

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Question (24)

The Koch Snowflake starts with a(n) ________.

Explanation:

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Question (25)

In the Koch Snowflake, each side is divided into ________ equal parts.

Explanation:

Link:

Question (26)

In one iteration of the Koch Snowflake, one side is replaced by ________ sides.

Explanation:

Link:

Question (27)

The number of sides in Step 1 of the Koch Snowflake is:

Explanation:

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Question (28)

The number of sides in Step 2 of the Koch Snowflake is:

Explanation:

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Question (29)

If the original triangle has 3 sides, the number of sides in Step 3 of the Koch Snowflake is:

Explanation:

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Question (30)

If the side length of the starting equilateral triangle is 1 unit, its perimeter is:

Explanation:

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