Shading Pattern Rule
Shading Pattern Rule problems involve sequences where the fill or shading of shapes changes according to a rule. Patterns can be alternating (black/white), progressive (adding more fill), or cyclic (black → gray → white → black).
What You'll Learn
Introduction to Shading Pattern Rule
Shading Pattern Rule problems involve sequences where the fill or shading of shapes changes according to a rule. Patterns can be alternating (black/white), progressive (adding more fill), or cyclic (black → gray → white → black).
Prerequisites
How to Solve Shading Pattern Rule Problems
Step 1: Observe the shading or fill in each figure
Step 2: Check if the shading alternates (black/white/black/white)
Step 3: Check if shading is progressive (more black areas in each step)
Step 4: Check if shading follows a cycle (black → gray → white → black)
Step 5: Identify the rule based on the pattern type
Step 6: Apply the rule to predict the next figure's shading
Step 7: Verify by checking consistency across all given figures
Example Problem
Example: Shading pattern: Black, White, Black, White. What comes next? Solution: Step 1: Pattern: Black → White → Black → White Step 2: Alternating pattern (odd positions Black, even positions White) Step 3: Position 5 is odd, so should be Black Answer: Black
Pro Tips & Tricks
- Alternating: position 1 and 3 same, 2 and 4 same
- Progressive: count how many segments are filled in each figure
- Cyclic: identify the sequence order (e.g., black → white → striped → black)
- For partial fills, track the fill percentage or number of filled sections
- Common cycles: black/white; black/gray/white; filled/striped/empty
- Watch for shading that moves position (rotating shaded segment)
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Shading Pattern Rule. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Shading Pattern Rule is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Shading Pattern Rule?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: