Multiple Hidden Figures
Multiple Hidden Figures problems present a single complex figure that contains two or three distinct hidden shapes (e.g., a circle, a square, and a triangle). You must locate all of them. These problems test your ability to perceive multiple layers of camouflage and to segregate different figures from the same background.
What You'll Learn
Introduction to Multiple Hidden Figures
Multiple Hidden Figures problems present a single complex figure that contains two or three distinct hidden shapes (e.g., a circle, a square, and a triangle). You must locate all of them. These problems test your ability to perceive multiple layers of camouflage and to segregate different figures from the same background.
Prerequisites
How to Solve Multiple Hidden Figures Problems
Step 1: Identify all the target shapes mentioned in the problem (e.g., circle, square, triangle).
Step 2: Scan the figure systematically, looking for the first target shape.
Step 3: Once found, mentally mark its location and move on to the next target.
Step 4: Each hidden shape may be in a different region of the figure.
Step 5: The shapes may overlap or be completely separate.
Step 6: Confirm that you have found all the target shapes.
Step 7: Answer the specific question (e.g., list the shapes, count them, or identify a specific one).
Example Problem
Example: A complex figure contains a hidden circle, a hidden square, and a hidden triangle. You must identify which of the answer options correctly lists all three shapes. Solution: Step 1: Target shapes: circle, square, triangle. Step 2: Scan for a circle: locate a curved, continuous boundary. Step 3: Scan for a square: locate a four-sided shape with equal sides and right angles. Step 4: Scan for a triangle: locate a three-sided shape. Step 5: Verify all three are present in the figure. Step 6: Select the answer option that includes all three shapes. Answer: Circle, Square, Triangle
Pro Tips & Tricks
- Each hidden shape is usually drawn with the same low opacity.
- They may be located in different parts of the figure (center, corners, edges).
- Sometimes shapes overlap, making them harder to distinguish.
- Use the process of elimination: if you find two shapes, the third is the remaining one.
- The shapes are often of different types (one curved, one angular, etc.).
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Multiple Hidden Figures. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Multiple Hidden Figures is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Multiple Hidden Figures?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: