Size Progression
Size Progression problems involve figures that increase or decrease in size following a consistent pattern (arithmetic or geometric progression). You must identify the next figure in the sequence based on the size progression rule.
What You'll Learn
Introduction to Size Progression
Size Progression problems involve figures that increase or decrease in size following a consistent pattern (arithmetic or geometric progression). You must identify the next figure in the sequence based on the size progression rule.
Prerequisites
How to Solve Size Progression Problems
Step 1: Identify the size measurement (radius, side length, area, diameter)
Step 2: Calculate the difference between consecutive sizes
Step 3: If differences are constant → arithmetic progression
Step 4: If ratios between consecutive sizes are constant → geometric progression
Step 5: For arithmetic progression: next size = last size + constant difference
Step 6: For geometric progression: next size = last size × constant ratio
Step 7: Select the figure with the calculated size
Example Problem
Example: Circle sizes: tiny (⚪), small (◯), medium (○), large (●). What size comes next? Solution: Step 1: Size order: tiny → small → medium → large Step 2: Each step increases size Step 3: The progression is from smallest to largest Step 4: Next size would be extra large Answer: Extra large circle
Pro Tips & Tricks
- Common size symbols: ⚪ (tiny), ◯ (small), ○ (medium), ● (large)
- Arithmetic progression example: 1, 2, 3, 4, 5 (add 1 each time)
- Geometric progression example: 1, 2, 4, 8, 16 (multiply by 2 each time)
- Size can refer to radius, diameter, side length, or area
- The shape type usually remains constant; only size changes
- Some patterns alternate between increasing and decreasing sizes
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Size Progression. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Size Progression is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Size Progression?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: