Figure Series Reasoning – Master Reasoning for Competitive Exams
Boost your understanding of figure series reasoning with proven strategies designed for competitive exams like SSC, UPSC, and Banking.
Figure Series Reasoning
Figure Series is a crucial component of non-verbal reasoning that tests your ability to identify patterns and logical rules in sequences of geometric figures. Mastering this topic is essential for competitive exams as it evaluates your visual reasoning, pattern recognition, and analytical thinking skills.
In competitive exams, Figure Series questions typically present a sequence of 4-5 figures with one figure missing. Your task is to decipher the underlying pattern and select the correct next figure from given options. These questions appear in almost all major aptitude tests in India.
Key exams featuring Figure Series:
- SSC CGL, CHSL, CPO, Steno exams
- UPSC CSAT (Preliminary Examination)
- Banking exams: IBPS PO/Clerk, SBI PO, RBI Grade B
- Railway exams: RRB NTPC, Group D, JE
- State PSCs: UPPSC, MPPSC, BPSC, TNPSC, etc.
- Management exams: CAT, MAT, XAT (Logical Reasoning sections)
- Defense exams: CDS, AFCAT, CAPF
Types of Figure Series Patterns
Master these common pattern types with solved examples and practice questions:
Figures rotate by a fixed angle (usually 45°, 90°, or 180°) in each step, either clockwise or anti-clockwise.
Solved Example 1:
Identify the next figure in the series:
[Figure1] → [Figure2] → [Figure3] → ?
Where Figure1: ▲, Figure2: ▶, Figure3: ▼
Solution:
- 1. Observe the direction of the triangle in each figure
- 2. Figure1: Triangle points upward (▲)
- 3. Figure2: Triangle rotated 90° clockwise (points right ▶)
- 4. Figure3: Triangle rotated another 90° clockwise (points down ▼)
- 5. Next rotation would be another 90° clockwise, making the triangle point left (◀)
Answer: ◀ (Left-pointing triangle)
Solved Example 2:
Complete the series:
[Image: Square with top-right quadrant shaded] → [Rotated 45°] → [Rotated 45°] → ?
Solution:
- 1. Initial figure has top-right quadrant shaded
- 2. Next figure shows 45° clockwise rotation (shading moves to bottom-right)
- 3. Following figure shows another 45° rotation (shading moves to bottom-left)
- 4. Next rotation would place shading in top-left quadrant
Answer: Square with top-left quadrant shaded
What comes next in this series?
[Image: Circle with line at 12 o'clock] → [Line at 1:30] → [Line at 3 o'clock] → ?
Solution:
The line is rotating 45° clockwise each time (12 → 1:30 → 3 → 4:30).
Answer: Circle with line at 4:30 position
The number of elements (lines, shapes, dots, etc.) changes following a specific numerical pattern (arithmetic or geometric progression).
Solved Example 1:
What comes next in this series?
[1 triangle] → [3 triangles] → [6 triangles] → ?
Solution:
- 1. Count the number of triangles in each figure: 1, 3, 6
- 2. Analyze the pattern: +2, +3 (suggesting next might be +4)
- 3. Alternative pattern: 1, 1+2=3, 1+2+3=6 (triangular numbers)
- 4. Next in triangular sequence: 1+2+3+4=10
Answer: Figure with 10 triangles
Solved Example 2:
Complete the series:
[Image: Star with 5 points] → [Star with 6 points] → [Star with 7 points] → ?
Solution:
- 1. Count the points in each star: 5, 6, 7
- 2. Clear arithmetic progression: +1 each step
- 3. Next figure should have 7+1 = 8 points
Answer: Star with 8 points
What comes next in this series?
[2 circles] → [4 circles] → [8 circles] → ?
Solution:
The number of circles is doubling each time (2 → 4 → 8 → 16).
Answer: Figure with 16 circles
Figures combine or overlap in specific ways, with elements being added, removed, or transformed at each step.
Solved Example 1:
Identify the next figure in the series:
[Square] → [Square + Circle] → [Square + Circle + Triangle] → ?
Solution:
- 1. Figure1: Single square
- 2. Figure2: Square with circle added inside
- 3. Figure3: Square, circle, and triangle inside
- 4. Pattern shows addition of a new shape each time
- 5. Next likely addition would be another shape (e.g., rectangle)
Answer: Square containing circle, triangle, and rectangle
Solved Example 2:
Complete the series:
[Image: Circle] → [Circle with vertical line] → [Circle with vertical and horizontal lines] → ?
Solution:
- 1. First figure: Plain circle
- 2. Second figure: Circle with vertical diameter added
- 3. Third figure: Circle with both vertical and horizontal diameters (cross)
- 4. Next likely addition would be diagonal lines (45° and 135°)
Answer: Circle with vertical, horizontal, and both diagonal lines
What comes next in this series?
[Single dot] → [Dot inside small circle] → [Dot inside small circle inside square] → ?
Solution:
Each step adds a new enclosing shape around the previous figure (dot → circle → square → likely triangle or another shape).
Answer: Dot inside small circle inside square inside triangle
Figures are mirrored or reflected across axes in specific patterns, sometimes alternating between original and mirrored versions.
Solved Example 1:
Identify the next figure in the series:
[Image: 'P' shape] → [Mirrored 'P'] → ['P' shape] → ?
Solution:
- 1. First figure: 'P' shape (original orientation)
- 2. Second figure: Horizontally mirrored 'P'
- 3. Third figure: Returns to original 'P'
- 4. Pattern alternates between original and mirrored versions
- 5. Next figure should be mirrored again
Answer: Horizontally mirrored 'P' shape
Solved Example 2:
Complete the series:
[Image: L shape] → [L rotated 90°] → [L rotated 180°] → [L rotated 270°] → ?
Solution:
- 1. First figure: Original L orientation
- 2. Subsequent figures show 90° clockwise rotations
- 3. After 270°, next rotation would complete 360° (back to original)
Answer: Original L shape (completing full rotation)
What comes next in this series?
[Image: 'R' shape] → [Vertically mirrored 'R'] → [Original 'R'] → [Vertically mirrored 'R'] → ?
Solution:
The pattern alternates between original 'R' and its vertical mirror image. After mirrored 'R', next should be original.
Answer: Original 'R' shape
Figures undergo progressive changes where elements are added, removed, or transformed in a systematic way across the series.
Solved Example 1:
Identify the next figure in the series:
[Image: Empty square] → [Square with top side thick] → [Square with top and right sides thick] → ?
Solution:
- 1. First figure: Plain square with all sides thin
- 2. Second figure: Top side becomes thick
- 3. Third figure: Top and right sides thick
- 4. Pattern shows clockwise progression of thickening sides
- 5. Next should be top, right, and bottom sides thick
Answer: Square with top, right, and bottom sides thick
Solved Example 2:
Complete the series:
[Image: Circle with 1 small circle inside] → [Circle with 2 small circles inside] → [Circle with 3 small circles inside] → ?
Solution:
- 1. Count of small circles increases by 1 each step
- 2. Current sequence: 1, 2, 3
- 3. Next figure should contain 4 small circles
Answer: Circle containing 4 small circles arranged symmetrically
What comes next in this series?
[Image: Triangle pointing up] → [Triangle pointing up with dot at top] → [Triangle pointing up with dots at top and right] → ?
Solution:
Dots are being added at vertices in clockwise order (top → right → next should be bottom).
Answer: Triangle pointing up with dots at top, right, and bottom vertices
Step-by-Step Solving Techniques
Master these proven methods to solve Figure Series questions efficiently:
Systematic Observation
Develop a structured approach to examine figures methodically.
- First observe the entire figure as a whole
- Then examine individual components
- Note positions, sizes, and orientations
- Look for symmetry or asymmetry
- Check for progressive changes
Rotation Analysis
Identify and quantify rotational patterns in the series.
- Select a reference point in the figure
- Determine rotation angle (45°, 90°, etc.)
- Note rotation direction (clockwise/anti-clockwise)
- Check if rotation applies to whole figure or parts
- Verify consistency across steps
Element Counting
Track quantitative changes in figure elements.
- Count all visible elements in each figure
- Note additions/removals between steps
- Identify numerical patterns (arithmetic/geometric)
- Check if changes affect specific positions
- Verify against all given figures
Reflection Detection
Identify mirroring patterns across axes.
- Determine if figures are mirrored versions
- Identify the axis of reflection (vertical/horizontal)
- Check for alternating original/mirrored figures
- Note if reflection applies to whole or parts
- Combine with other pattern types if needed
Combination Patterns
Analyze how figures combine or overlap.
- Identify base figure that remains constant
- Note new elements added at each step
- Check positions where additions occur
- Determine if elements are being removed
- Look for symmetry in combination
Progressive Changes
Track gradual transformations across the series.
- Identify what changes between figures
- Quantify the change (how much, in what way)
- Determine direction of change (increasing/decreasing)
- Check if change follows a sequence
- Predict next step in progression
📚 Topic-Wise Practice Worksheets
Master Figure Series with our structured practice materials
Each worksheet includes detailed solutions and explanations
Rotation Series Free
10 worksheets available
Rotation Series problems present a sequence of identical or similar shapes that rotate by a fixed angle at each step. The rotation can be clockwise or anticlockwise, with common step angles including 15°, 30°, 45°, 60°, 90°, and 180°. You must determine the rotation pattern and identify the next figure in the series.
Size Progression Free
10 worksheets available
Size Progression problems involve figures that change in size (increase or decrease) following a consistent pattern. The progression can be arithmetic (adding a constant each step) or geometric (multiplying by a constant ratio). You must identify the size pattern and determine the next figure's dimensions.
Shape Transformation Free
10 worksheets available
Shape Transformation problems feature a series where each figure transforms into a different geometric shape. Common transformations include increasing the number of sides (triangle→square→pentagon→hexagon), changing from regular to star shapes, or alternating between shape types. You must identify the transformation rule and predict the next shape.
Addition/Elimination Free
10 worksheets available
Addition/Elimination problems feature series where elements (dots, lines, small shapes) are added to or removed from the figure at each step. The number of elements may increase by a constant amount (arithmetic progression) or follow another pattern. You must count the elements and determine the next figure's element count.
Clockwise Movement Free
10 worksheets available
Clockwise Movement problems involve figures that move to different positions within a fixed frame (often the four corners of a square or circle). The figure moves clockwise or anticlockwise by one position at each step. You must determine the movement direction and predict the next position.
Diagonal Movement Free
10 worksheets available
Diagonal Movement problems feature figures that move along diagonal paths within a square or rectangular frame. Common patterns include moving from top-left to bottom-right and back, bouncing off corners, or alternating between two diagonal positions. You must track the movement pattern and predict the next position.
Horizontal Shifting Free
10 worksheets available
Horizontal Shifting problems feature figures that move horizontally (left or right) or vertically (up or down) by a fixed distance at each step. The movement may be one-dimensional (only horizontal) or two-dimensional (both axes). You must determine the direction and step size to predict the next position.
Flip/Rotation Free
10 worksheets available
Flip/Rotation problems involve figures that undergo both reflection (flip across horizontal or vertical axis) and rotation (angular turn) in sequence. These combined transformations create more complex patterns that require careful tracking of both operations. You must determine the transformation sequence and predict the next figure.
Color Alternation Free
10 worksheets available
Color Alternation problems feature figures that change color in a pattern while the shape often remains constant. The colors may alternate between two colors, cycle through three or more colors, or follow a specific sequence (e.g., Red→Blue→Green→Red). You must identify the color pattern and predict the next figure's color.
📖 Mixed Practice Worksheets
Comprehensive worksheets combining all problem types for Figure Series
Perfect for exam simulation and revision
Each worksheet contains 20 mixed questions covering all problem types of Figure Series, with detailed solutions and answer keys.
Figure Series: Expert Tips & Tricks
💡 Speed & Time Management Hacks:
- Start by quickly scanning all figures to identify obvious patterns before diving deep
- Allocate maximum 45 seconds per question during practice to build speed
- If stuck, eliminate clearly wrong options first to improve guessing odds
- Mark time-consuming questions and return to them if time permits
- Develop mental shortcuts for common patterns (like 90° rotations)
⚠️ Avoid These Common Traps:
- Overlooking subtle changes - Examine every detail carefully
- Assuming simple patterns - Complex series may combine multiple pattern types
- Ignoring alternative interpretations - There may be multiple valid patterns
- Rushing without verification - Always check your identified pattern against all given figures
- Focusing only on one aspect - Consider all elements (shape, size, position, number, orientation)
✅ Strategies for Success:
- Practice with timed quizzes to simulate exam pressure
- Maintain an error log to identify recurring mistake patterns
- Master 2-3 verification techniques to confirm your answers
- Develop a consistent step-by-step analysis method
- Regularly solve previous year questions from target exams
🛑 Crucial Reminders:
- Your identified pattern must explain ALL given figures in the series
- Multiple patterns may exist - choose the most consistent one
- Rotation directions are often tested (clockwise vs anti-clockwise)
- Changes can occur in shape, size, position, number, or orientation
- When in doubt, compare each figure to the previous one systematically
📚 Frequently Asked Questions About Figure Series
Figure Series is a type of non-verbal reasoning question where you analyze a sequence of geometric figures to identify the underlying pattern and predict the next figure in the series. It's crucial for exams as it tests logical thinking, pattern recognition, and visual reasoning skills - all essential for competitive exams that assess analytical abilities.
In Indian competitive exams, Figure Series questions typically carry 1-2 marks each and appear in almost all major aptitude tests including SSC, Banking, UPSC CSAT, and State PSCs. Mastering this topic can significantly improve your reasoning section score.
To master Figure Series efficiently:
- First understand all common pattern types (rotation, reflection, counting, combination, etc.)
- Practice identifying patterns in simple figures before attempting complex ones
- Develop a systematic analysis method (like checking rotation first, then element count, etc.)
- Solve previous year questions from your target exams to understand question styles
- Time yourself during practice to build speed (aim for ≤45 seconds per question)
Regular practice with varied difficulty levels is key. Analyze mistakes thoroughly to identify weak areas.
Figure Series appears in almost all major Indian competitive exams testing reasoning ability, including:
- SSC: CGL, CHSL, CPO, Steno, GD Constable
- Banking: IBPS PO/Clerk, SBI PO, RBI Grade B
- UPSC: CSAT (Prelims), CAPF
- Railways: RRB NTPC, Group D, JE
- State PSCs: UPPSC, MPPSC, BPSC, TNPSC, etc.
- Management: CAT, MAT, XAT (Logical Reasoning)
- Defense: CDS, AFCAT
The difficulty level varies, with banking exams typically having simpler questions than SSC or CAT.
Figure Series is typically considered moderate difficulty but can become challenging with complex patterns. The difficulty perception varies:
- Easy: Simple rotation or counting patterns (common in banking exams)
- Moderate: Combined patterns or subtle changes (typical in SSC)
- Tough: Multi-layer patterns with 3+ transformation rules (found in CAT, some UPSC questions)
Common pitfalls include:
- Overlooking subtle changes in complex figures
- Misidentifying rotation directions (clockwise vs anti-clockwise)
- Counting elements incorrectly in crowded figures
- Rushing without verifying all options
The most effective approach combines:
- Conceptual Clarity: Thoroughly understand all pattern types and their variations
- Systematic Practice: Solve 20-30 questions daily, covering all pattern types
- Exam Simulation: Regularly attempt mock tests with time constraints
- Error Analysis: Maintain a mistake log to identify and rectify weak areas
- Strategic Approach: Develop a consistent step-by-step analysis method
For best results, focus on accuracy first, then build speed. Prioritize questions from your target exams, as pattern complexity varies across tests.
Sandeep Nehra
B.Tech (Mech) | MBA (HRM & IB) | Lead Developer & Reasoning Expert (16+ Yrs)
Sandeep is a Mechanical Engineer and dual MBA (HR & International Business) with over 16 years of experience as a Senior Web Architect and Tech Lead. Combining his engineering precision with deep behavioral insights, he founded ReasoningAbility.com to revolutionize competitive exam preparation. His unique methodology — blending logical structuring from engineering with psychological clarity from HRM — helps aspirants crack BITSAT, SSC, and Banking exams faster. His mission remains simple: provide high-quality, free practice resources that turn complex logic into accessible, high-speed solving techniques for students worldwide.