Rotation Sequence

Rotation Sequence problems involve shapes that rotate by a fixed angle at each step (e.g., 90° clockwise, 45° anticlockwise). You must determine the rotation rule and find the orientation of the next figure in the sequence.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

Introduction to Rotation Sequence

Rotation Sequence problems involve shapes that rotate by a fixed angle at each step (e.g., 90° clockwise, 45° anticlockwise). You must determine the rotation rule and find the orientation of the next figure in the sequence.

Prerequisites

Understanding of clockwise/anticlockwise rotation Angle recognition (45°, 90°, 180°, 270°) Spatial visualization Basic geometry concepts
Why This Matters: Rotation Sequence problems appear in 1-2 questions in SSC CGL and Banking exams. They test spatial visualization and angle recognition.

How to Solve Rotation Sequence Problems

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Step 1: Observe the orientation of the shape in each figure

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Step 2: Determine the angle and direction of rotation between consecutive figures

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Step 3: Verify the rotation is constant throughout the sequence

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Step 4: Apply the same rotation to the last figure to get the next orientation

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Step 5: Consider wrap-around: after 360°, orientation returns to starting point

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Step 6: Visualize or sketch the rotated shape if needed

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Step 7: Answer with the correct orientation or next figure

Pro Strategy: Focus on a specific feature of the shape (e.g., a vertex or a marked side) to track rotation. The rotation step is usually constant. After 360°, the shape returns to its original orientation.

Example Problem

Example: Triangle rotates: 0°, 90°, 180°, 270°, ___. Find the next rotation angle. Solution: Step 1: Angles: 0°, 90°, 180°, 270° Step 2: Rotation step = +90° each time Step 3: Next angle = 270° + 90° = 360° (or 0°) Answer: 0° (original orientation)

Pro Tips & Tricks

  • Use a reference point on the shape to track rotation
  • Common rotation steps: 45°, 90°, 180°
  • Clockwise = positive rotation, Anticlockwise = negative rotation
  • 90° clockwise = 270° anticlockwise
  • 180° rotation flips the shape upside down
  • After 4 steps of 90°, the shape returns to original orientation (full cycle)

Shortcut Methods to Solve Faster

90° clockwise × 4 = full rotation (returns to start)
180° rotation × 2 = full rotation
If angles are 0°, 90°, 180°, 270°, next = 0°
If angles are 0°, 45°, 90°, 135°, next = 180°

Common Mistakes to Avoid

Confusing clockwise with anticlockwise
Forgetting that rotation applies to the entire shape, not just a part
Not considering wrap-around after 360°
Misidentifying the reference point for tracking rotation

Exam Importance

Rotation Sequence is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
1-2 questions
INSURANCE
1-2 questions

Ready to Master Rotation Sequence?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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