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Size Scaling Analogy - Intermediate Level: tricky scenarios handling Size Scaling Analogy INTERMEDIATE

This expert challenge 📈 worksheet focuses on Size Scaling Analogy - a key topic in Figure Analogy. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve size scaling analogy, size scaling analogy tricks, and size scaling analogy shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Size Scaling Analogy
Worksheet 5 of 10 (44% complete)

Question 1

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 60 units
- Scaling factor = 60/20 = 3

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 3×

Question 2

Figure Analogy: A : B :: C : ? Figure A is enlarged by 2× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 50 units
- Scaling factor = 50/25 = 2

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 2
- New dimensions = original × 2

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 2×

Question 3

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 75 units
- Scaling factor = 75/25 = 3

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 3×

Question 4

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 75 units
- Scaling factor = 75/25 = 3

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 3×

Question 5

Figure Analogy: A : B :: C : ? Figure A is enlarged by 2× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 50 units
- Scaling factor = 50/25 = 2

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 2
- New dimensions = original × 2

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 2×

Question 6

Figure Analogy: A : B :: C : ? Figure A is reduced to 0.5× original size to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 10 units
- Scaling factor = 10/20 = 0.5

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 0.5
- New dimensions = original × 0.5

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square reduced to 0.5× original size

Question 7

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 75 units
- Scaling factor = 75/25 = 3

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 3×

Question 8

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 60 units
- Scaling factor = 60/20 = 3

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 3×

Question 9

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 60 units
- Scaling factor = 60/20 = 3

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 3×

Question 10

Figure Analogy: A : B :: C : ? Figure A is enlarged by 2× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 50 units
- Scaling factor = 50/25 = 2

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 2
- New dimensions = original × 2

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 2×

Question 11

Figure Analogy: A : B :: C : ? Figure A is reduced to 0.5× original size to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 10 units
- Scaling factor = 10/20 = 0.5

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 0.5
- New dimensions = original × 0.5

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square reduced to 0.5× original size

Question 12

Figure Analogy: A : B :: C : ? Figure A is enlarged by 2× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 40 units
- Scaling factor = 40/20 = 2

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 2
- New dimensions = original × 2

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 2×

Question 13

Figure Analogy: A : B :: C : ? Figure A is reduced to 0.5× original size to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 10 units
- Scaling factor = 10/20 = 0.5

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 0.5
- New dimensions = original × 0.5

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square reduced to 0.5× original size

Question 14

Figure Analogy: A : B :: C : ? Figure A is reduced to 0.5× original size to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 12 units
- Scaling factor = 12/25 = 0.5

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 0.5
- New dimensions = original × 0.5

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle reduced to 0.5× original size

Question 15

Figure Analogy: A : B :: C : ? Figure A is reduced to 0.5× original size to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 12 units
- Scaling factor = 12/25 = 0.5

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 0.5
- New dimensions = original × 0.5

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle reduced to 0.5× original size

Question 16

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A square: 25 units
- Figure B square: 75 units
- Scaling factor = 75/25 = 3

STEP 2: Apply to Figure C
- Figure C: Circle
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Circle enlarged by 3×

Question 17

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 60 units
- Scaling factor = 60/20 = 3

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 3×

Question 18

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 60 units
- Scaling factor = 60/20 = 3

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 3×

Question 19

Figure Analogy: A : B :: C : ? Figure A is enlarged by 3× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 60 units
- Scaling factor = 60/20 = 3

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 3
- New dimensions = original × 3

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 3×

Question 20

Figure Analogy: A : B :: C : ? Figure A is enlarged by 2× to become Figure B. What should Figure '?' look like when the same scaling is applied to Figure C?
Step-by-Step Solution:

STEP 1: Identify the Scaling Factor
- Figure A circle: 20 units
- Figure B circle: 40 units
- Scaling factor = 40/20 = 2

STEP 2: Apply to Figure C
- Figure C: Square
- Apply scaling factor 2
- New dimensions = original × 2

STEP 3: Verify
- Shape type preserved ✓
- Proportions preserved ✓
- Only size changed ✓

Answer: Square enlarged by 2×
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