Size Progression
Size Progression problems involve figures that change in size systematically (increasing, decreasing, or following a specific arithmetic progression). You must identify the size pattern to determine the next or missing figure. These problems test your ability to recognize quantitative changes in visual elements.
What You'll Learn
Introduction to Size Progression
Size Progression problems involve figures that change in size systematically (increasing, decreasing, or following a specific arithmetic progression). You must identify the size pattern to determine the next or missing figure. These problems test your ability to recognize quantitative changes in visual elements.
Prerequisites
How to Solve Size Progression Problems
Step 1: Compare the sizes of the first two figures to determine the change
Step 2: Calculate the difference or ratio between consecutive figure sizes
Step 3: Check if the same difference/ratio applies to the next pair
Step 4: Determine if the pattern is arithmetic (constant addition) or geometric (constant multiplication)
Step 5: Apply the pattern to find the next figure size
Step 6: If a figure is missing, use interpolation (arithmetic mean for linear progression)
Step 7: Select the figure with the correct size
Example Problem
Example: Circle radii: 10px, 20px, 30px, 40px, ___ Find the next radius. Solution: Step 1: 10 → 20: increase of +10 Step 2: 20 → 30: increase of +10 Step 3: 30 → 40: increase of +10 Step 4: Pattern: arithmetic progression with common difference +10 Step 5: Next radius = 40 + 10 = 50px Answer: Circle with radius 50px
Pro Tips & Tricks
- Arithmetic progression: constant difference (e.g., +5, +10, -3)
- Geometric progression: constant ratio (e.g., ×2, ×1.5, ÷2)
- For missing middle term in AP: missing = (first + last)/2
- For missing middle term in GP: missing = √(first × last)
- Check if size doubles each time (×2 pattern)
- Check if size increases by fixed percentage
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: