Missing Figure Reasoning – Master Reasoning for Competitive Exams
Boost your understanding of missing figure reasoning with proven strategies designed for competitive exams like SSC, UPSC, and Banking.
Missing Figure Reasoning
Missing Figure questions test your ability to identify patterns and logical relationships in visual sequences. In these problems, you'll be presented with a series of figures following a particular pattern, with one figure missing. Your task is to deduce the pattern and select the correct missing figure from given options.
This topic is crucial for competitive exams as it evaluates your pattern recognition, logical reasoning, and problem-solving skills - all essential for various government and private sector jobs. Mastering Missing Figure questions can give you a significant edge in the reasoning section.
Major Indian competitive exams featuring Missing Figure questions:
- SSC CGL, CHSL, CPO, MTS, Steno
- UPSC CSAT (Civil Services Preliminary Exam)
- IBPS PO, Clerk, SO (Banking Exams)
- SBI PO, Clerk, SO
- RRB NTPC, Group D, ALP (Railway Exams)
- CAT, MAT, XAT (Management Entrance Tests)
- State PSCs (UPPSC, MPPSC, BPSC, etc.)
- Insurance Sector Exams (LIC AAO, NIACL, etc.)
Types of Missing Figure Problems
Master these common pattern types to ace Missing Figure questions in any exam.
In these problems, figures rotate or move in a specific pattern (clockwise/anticlockwise) or change position systematically. The missing figure must follow the same movement pattern.
Solved Example 1:
Observe the following sequence and identify the missing figure:
[Figure 1: Triangle pointing up] → [Figure 2: Triangle pointing right] → [Figure 3: Triangle pointing down] → ? → [Figure 5: Triangle pointing left]
Solution:
- 1. Observe the direction change: Up → Right → Down → ? → Left
- 2. The triangle is rotating 90° clockwise at each step
- 3. After pointing down, the next rotation should be pointing left
- 4. However, Figure 5 is already pointing left, indicating Figure 4 should point left (completing full rotation)
- 5. The sequence shows the triangle completes a full 360° rotation in 4 steps (90° each)
Answer: The missing figure is a triangle pointing left (same as Figure 5).
Solved Example 2:
Identify the missing figure in this sequence from a recent SSC CGL exam:
[Square with dot at top-left] → [Square with dot at top-right] → [Square with dot at bottom-right] → ? → [Square with dot at bottom-left]
Solution:
- 1. The dot is moving clockwise around the square's corners
- 2. Movement pattern: Top-left → Top-right → Bottom-right → ? → Bottom-left
- 3. Following the pattern, after bottom-right should be bottom-left
- 4. However, the final figure is bottom-left, suggesting the missing figure is bottom-left (completing the cycle)
- 5. This indicates the sequence shows the dot completing a full rotation around the square
Answer: The missing figure is a square with dot at bottom-left corner.
Solution:
- The line is moving to every alternate vertex (skipping one each time)
- Pattern: 1 → 3 → 5 → 2 → 4 (vertices numbered clockwise)
- After vertex 2, it should move to vertex 4 (skipping 3)
- But the final figure shows vertex 4, indicating the missing figure is vertex 4
- This completes two full cycles around the pentagon
Answer: Pentagon with line from center to vertex 4.
In these problems, a figure is gradually being completed part-by-part across the sequence. You must identify how the figure is being constructed to determine the missing stage.
Solved Example 1:
Identify the missing figure in this sequence from a UPSC CSAT paper:
[Empty square] → [Top-left quarter shaded] → [Top half shaded] → ? → [Fully shaded square]
Solution:
- 1. Observe the shading progression: Empty → ¼ → ½ → ? → Full
- 2. The square is being shaded in clockwise quarters
- 3. Sequence: Empty → Top-left → Top-left + Top-right → ? → All four quarters
- 4. Following the pattern, after top half should come top half + bottom-left quarter (¾ shaded)
- 5. This shows systematic clockwise completion of the square
Answer: Square with three-quarters shaded (top half and bottom-left quarter).
Solved Example 2:
From a recent IBPS PO exam, complete this sequence:
[Circle] → [Circle with diameter] → [Circle with diameter and one radius] → ? → [Circle with diameter and four radii at 90°]
Solution:
- 1. The circle is getting additional lines systematically
- 2. Pattern: Plain → +Diameter → +1 Radius → ? → +4 Radii (cross)
- 3. The radii are being added at 90° increments
- 4. After 1 radius, the next logical step would be 2 radii perpendicular to each other
- 5. The final figure shows completion with 4 radii, confirming the pattern
Answer: Circle with diameter and two perpendicular radii (forming a cross).
Solution:
- The triangle is being constructed one side at a time
- Pattern: Empty → Side 1 → Side 2 → Side 3 → Complete (all three sides)
- The missing figure should show two sides with the third side missing
- This represents the stage just before completion
Answer: Triangle with two sides drawn and third side missing.
These problems involve figures containing other smaller figures or elements that change systematically. The pattern may involve changes in number, position, or attributes of embedded elements.
Solved Example 1:
Solve this sequence from a recent RRB NTPC exam:
[Square with 1 circle] → [Square with 2 circles] → [Square with 3 circles] → ? → [Square with 5 circles]
Solution:
- 1. The number of circles inside the square is increasing
- 2. Sequence: 1 → 2 → 3 → ? → 5
- 3. At first glance, it appears to be increasing by 1 each time
- 4. However, the jump from missing figure to last figure suggests the pattern might be Fibonacci (1, 2, 3, 5, 8...)
- 5. But with only these data points, the safest assumption is +1 each step
Answer: Square with 4 circles (following +1 pattern).
Solved Example 2:
From a State PSC exam, complete this sequence:
[Triangle with dot at top] → [Triangle with dots at top and right] → [Triangle with dots at top, right, bottom] → ? → [Triangle with dots at all vertices and center]
Solution:
- 1. Dots are appearing at triangle vertices in clockwise order
- 2. Pattern: Top → Top+Right → Top+Right+Bottom → ? → All vertices+Center
- 3. After three vertices, the next logical step would be all three vertices with dots
- 4. The final figure adds a center dot, suggesting the missing figure shows completion of vertex dots
Answer: Triangle with dots at all three vertices.
Solution:
- The rectangle is being divided systematically
- Pattern: Undivided → 1 vertical → 1 vertical + 1 horizontal → ? → 2 vertical + 2 horizontal (making 9 smaller rectangles)
- The missing figure should show the next stage of division
- Likely progression would be 2 vertical or 2 horizontal lines first
- Given the final grid, the missing figure probably has 2 vertical and 1 horizontal lines
Answer: Rectangle divided by two vertical and one horizontal lines (creating 6 smaller rectangles).
These challenging problems combine multiple pattern types (rotation, completion, embedding) into a single sequence. They test your ability to identify and synthesize multiple simultaneous changes.
Solved Example 1:
Solve this complex sequence from a CAT exam:
[Square with top-left small square] → [Square with top-right small square + rotated 45°] → [Square with bottom-right small square + rotated 90°] → ? → [Square with center small square + rotated 180°]
Solution:
- 1. Two patterns are occurring simultaneously: small square movement and rotation
- 2. Small square moves clockwise: top-left → top-right → bottom-right → ? → center
- 3. Main square rotates: 0° → 45° → 90° → ? → 180°
- 4. Both patterns progress systematically: small square moves to next corner, main square rotates +45° each step
- 5. Missing figure should have small square at bottom-left and main square rotated 135°
Answer: Square rotated 135° with small square at bottom-left corner.
Solved Example 2:
From a challenging SSC CGL question:
[Circle with quadrant 1 shaded] → [Circle with quadrants 1+2 shaded + smaller inner circle] → [Circle with quadrants 1+2+3 shaded + two concentric circles] → ? → [Fully shaded circle with four concentric circles]
Solution:
- 1. Two simultaneous patterns: shading progression and concentric circles
- 2. Shading: 1 → 2 → 3 → ? → 4 quadrants
- 3. Circles: 0 → 1 → 2 → ? → 4 concentric circles
- 4. Both increase by one each step: shading adds one quadrant, circle count increases by one
- 5. Missing figure should have 4 quadrants shaded (but final figure shows that) OR 3 quadrants with 3 circles
- 6. Closer analysis suggests shading completes at step 4, while circles continue
Answer: Circle with all four quadrants shaded and three concentric circles.
Solution:
- Two patterns: triangle rotation and dot addition
- Rotation: Up → Right → Down → ? → Left (90° clockwise each step)
- Dots: 0 → 1 → 2 → ? → 4 (all vertices + center)
- Dot pattern seems to be adding at vertices in order
- Missing figure should be triangle pointing left with 3 dots (top, right, bottom vertices)
Answer: Triangle pointing left with dots at three vertices.
Step-by-Step Solving Techniques
Master these proven methods to solve Missing Figure problems efficiently in exams.
Systematic Observation
Develop a disciplined approach to examine figures sequentially for changes in:
- Position/orientation of elements
- Number of elements
- Shading/color patterns
- Size relationships
- Embedded figures or layers
Elimination Strategy
When options are provided, eliminate clearly wrong choices first:
- Remove options violating basic pattern rules
- Eliminate outliers in rotation/sequence
- Discard options with incorrect element counts
- Verify remaining options against the pattern
Pattern Isolation
Break complex problems into simpler, independent patterns:
- Identify all changing elements
- Analyze each element's change separately
- Note relationships between changes
- Combine insights for final solution
Mental Rotation
Develop the ability to mentally manipulate figures:
- Practice visualizing simple rotations
- Start with 90° increments
- Progress to 45° and mirror images
- Combine with other transformations
Proportional Analysis
Analyze size and position relationships:
- Note relative sizes of elements
- Track position changes (center, corners, edges)
- Measure proportional changes
- Identify scaling patterns
Symmetry Detection
Look for symmetrical patterns in changes:
- Identify axes of symmetry
- Check for radial/linear patterns
- Note symmetrical element placement
- Verify mirror/rotational symmetry
📚 Topic-Wise Practice Worksheets
Master Missing Figure with our structured practice materials
Each worksheet includes detailed solutions and explanations
Linear Rotation Sequence Free
10 worksheets available
Linear Rotation Sequence problems present a series of geometric figures that rotate by a constant angle at each step. The rotation may be clockwise or anticlockwise, with common step angles including 45°, 90°, and 180°. You must calculate the next rotation angle and identify the figure with the correct orientation.
Element Addition Pattern Free
10 worksheets available
Element Addition Pattern problems present a series where each figure adds a fixed number of elements (dots, stars, lines, small shapes) at each step. The addition may follow arithmetic progression (adding constant), geometric progression (multiplying), or other sequences. You must count the elements and determine the next figure's element count.
Size Progression Free
10 worksheets available
Size Progression problems feature figures that change in size (increase or decrease) following a consistent pattern. The progression can be arithmetic (adding constant each step) or geometric (multiplying by constant ratio). You must identify the size pattern and determine the next figure's dimensions.
Alternating Shapes Free
10 worksheets available
Alternating Shapes problems present a series where two or more shape types alternate in a fixed sequence. Common patterns include circle-square-circle-square (alternating), circle-square-triangle-circle (cyclic), or alternating between filled and hollow versions of the same shape.
Arrow Rotation Free
10 worksheets available
Arrow Rotation problems feature arrows that rotate by a fixed angle at each step. The arrow may rotate clockwise or anticlockwise, with common step angles of 45°, 90°, or 180°. You must determine the direction of the next arrow based on the rotation pattern.
Shading Progression Free
10 worksheets available
Shading Progression problems feature figures that change in darkness or fill pattern intensity. The progression may be from light to dark (or dark to light), following an arithmetic progression in grayscale values. These problems test your ability to perceive and order shades.
Shape Transformation Series Free
10 worksheets available
Shape Transformation Series problems present a sequence where shapes change into different geometric forms. Common transformations include adding one side each step (triangle→square→pentagon→hexagon), changing from regular to star shapes, or alternating between shape families.
Position Shifting Free
10 worksheets available
Position Shifting problems feature elements that move to different positions within a fixed frame (circle, square, grid). The movement may be horizontal (left/right), vertical (up/down), or diagonal, with constant step size. You must track the element's position and predict its next location.
Dual Pattern: Rotation And Shading Free
10 worksheets available
Dual Pattern problems involve two simultaneous transformations: rotation (angle change) and shading (fill intensity change). Each transformation follows its own independent pattern. You must track both and apply both to find the next figure.
Arithmetic Element Count Free
10 worksheets available
Arithmetic Element Count problems feature figures where the number of elements (dots, stars, lines) increases by a constant amount each step. This is a specific case of element addition pattern with constant increment (arithmetic progression).
Alternating Colors Free
10 worksheets available
Alternating Colors problems feature figures that change color in a repeating pattern. Common patterns include alternating between two colors (red, blue, red, blue) or cycling through three or more colors. You must identify the color sequence and predict the next figure's color.
Mirror Reflection Free
10 worksheets available
Mirror Reflection problems feature figures that alternate with their mirror images. The reflection may be horizontal (left-right flip) or vertical (top-bottom flip). You must identify the reflection pattern and predict the next figure's orientation.
Growing Squares Free
10 worksheets available
Growing Squares problems feature concentric or nested squares that increase in size at each step. The side length may increase by a constant amount (arithmetic progression) or by a constant ratio (geometric progression). You must calculate the next square's size.
Matrix Row Pattern Free
10 worksheets available
Matrix Row Pattern problems present a 3x3 matrix where each row follows a progression rule (shape transformation, rotation, addition, etc.). One cell is missing (usually bottom-right). You must identify the row pattern and determine the missing figure.
Nested Multi Speed Rotation Free
10 worksheets available
Nested Multi-Speed Rotation problems feature figures with two or more rotating elements (e.g., outer square and inner line) that rotate at different speeds. Each element follows its own rotation pattern. You must track both rotations and apply both to find the next figure.
Geometric Progression Free
10 worksheets available
Geometric Progression problems feature figures where sizes or element counts multiply by a constant ratio at each step (e.g., radius doubles: 5,10,20,40). You must identify the ratio and apply it to find the next figure.
Set Operations Visualization Free
10 worksheets available
Set Operations Visualization problems feature two or more shapes (usually circles) that move closer together or apart. The pattern tracks the distance between shapes, leading to intersection, overlap, or separation. You must predict the next position based on the movement pattern.
Fibonacci Element Sequence Free
10 worksheets available
Fibonacci Element Sequence problems feature figures where the number of elements follows the Fibonacci sequence: each term is the sum of the two preceding terms (1, 1, 2, 3, 5, 8, 13...). You must calculate the next element count using the recursive formula.
Multi Dimensional Matrix Free
10 worksheets available
Multi-Dimensional Matrix problems present a 3x3 matrix where rows determine one attribute (e.g., shape) and columns determine another attribute (e.g., fill pattern). The missing cell is at the intersection of a specific row and column, inheriting both attributes.
Alternating Plus Circle Free
10 worksheets available
Alternating Plus-Circle problems feature a complex alternating pattern between two different composite figures: typically a plus symbol inside a circle, and a rotated square. The pattern may also involve rotation of the square element.
📖 Mixed Practice Worksheets
Comprehensive worksheets combining all problem types for Missing Figure
Perfect for exam simulation and revision
Each worksheet contains 20 mixed questions covering all problem types of Missing Figure, with detailed solutions and answer keys.
Expert Tips & Strategies
💡 Speed & Time Management Hacks:
- Scan the entire sequence first - Get an overall sense before analyzing details.
- Solve easiest patterns first - In exams with multiple questions, tackle simple rotation/completion problems first.
- Set time limits per question - If stuck after 1-1.5 minutes, mark for review and move on.
- Practice mental rotation daily - This builds speed for rotation problems.
- Develop pattern recognition shortcuts - Common patterns like 90° rotation or quadrant shading appear frequently.
⚠️ Avoid These Common Traps:
- Overlooking multiple patterns - Complex problems often combine 2-3 change types simultaneously.
- Assuming simple arithmetic progression - Patterns may follow geometric, Fibonacci, or other sequences.
- Ignoring element interactions - Changes in one element may affect others.
- Rushing without verification - Always cross-check your solution against the full sequence.
- Getting stuck on one approach - If a pattern isn't working after 30 seconds, try a different perspective.
- Missing subtle changes - Small details like dot size or line thickness can be crucial.
✅ Strategies for Success:
- Practice with timer - Simulate exam pressure to improve speed.
- Create a pattern catalog - Maintain notes of recurring pattern types across exams.
- Analyze mistakes thoroughly - Understand why errors occurred to prevent repetition.
- Develop personal solving techniques - Adapt standard methods to your thinking style.
- Master 2-3 verification methods - Have multiple ways to confirm your answers.
🛑 Crucial Reminders:
- Patterns must work for ALL given figures - A correct pattern can't have exceptions.
- Multiple valid patterns may exist - Choose the simplest one consistent with all figures.
- Rotation direction must be consistent - Clockwise vs anticlockwise matters.
- Element counting must be precise - Miscounting leads to wrong patterns.
- Final verification is mandatory - Ensure your solution fits the entire sequence.
📚 Frequently Asked Questions About Missing Figure
Missing Figure is a type of non-verbal reasoning question where you need to identify the missing element in a given pattern or sequence of figures. These questions typically show a series of 3-5 figures with logical progression, where one figure is missing. Your task is to identify the pattern rule and select the correct missing figure from given options.
This topic is crucial for competitive exams because it tests multiple cognitive skills simultaneously - pattern recognition, logical reasoning, visual-spatial intelligence, and problem-solving ability. These are exactly the skills that government and private sector jobs assess through competitive exams. Missing Figure questions appear in almost all major Indian competitive exams including SSC, Banking, UPSC CSAT, Railway, and State PSC exams, typically carrying 1-2 marks per question. Mastering this topic can significantly boost your reasoning section score.
Here are the most effective preparation strategies for Missing Figure reasoning:
- Pattern Recognition Practice: Regularly solve different types of Missing Figure problems to train your brain to quickly identify common patterns.
- Systematic Analysis: Develop a step-by-step approach to examine figures - first look for rotations, then for added/removed elements, then for size changes, etc.
- Time-bound Practice: Initially practice without time pressure, but gradually introduce timed sessions to simulate exam conditions.
- Error Analysis: Maintain an error log to identify which pattern types you frequently miss, and focus improvement there.
- Previous Year Papers: Solve actual exam questions to understand the difficulty level and pattern variations used in your target exams.
- Visual Memory Training: Practice remembering and reproducing figures after brief exposure to improve your visual retention.
Missing Figure questions appear in almost all major competitive exams in India that have a reasoning/aptitude section. The most significant ones include:
- SSC Exams: CGL, CHSL, CPO, Steno, MTS, GD Constable
- Banking Exams: IBPS PO, Clerk, SO; SBI PO, Clerk, SO; RBI Grade B, Assistant
- UPSC: CSAT (Civil Services Preliminary Exam Paper 2)
- Railway Exams: RRB NTPC, Group D, ALP, Technician, JE
- Management Entrance: CAT, MAT, XAT (in logical reasoning sections)
- State PSCs: All state-level civil service exams (UPPSC, MPPSC, BPSC, etc.)
- Defense Exams: CDS, AFCAT, CAPF
- Insurance Sector: LIC AAO, NIACL, GIC, UIIC
Missing Figure is generally considered a moderate difficulty topic that can become challenging when:
- Multiple patterns are combined in a single sequence
- The pattern involves unconventional transformations
- Figures have many similar-looking elements
- The sequence has unusual starting/ending points
Common pitfalls to avoid:
- Overlooking subtle changes: Missing small details like slight rotations or minor element additions
- Assuming simple patterns: Expecting only basic rotations when more complex patterns exist
- Ignoring multiple changes: Focusing only on the most obvious change while others are occurring simultaneously
- Rushing to conclusions: Not verifying if the identified pattern works for all given figures
- Visual fatigue: Losing concentration when examining many similar-looking figures
- Time mismanagement: Spending too long on one difficult problem at the expense of others
The most effective approach to master Missing Figure involves:
- Conceptual Foundation: First thoroughly understand all common pattern types (rotation, completion, embedding, combination) and their variations.
- Structured Practice: Begin with simple patterns, gradually progressing to complex ones, using a systematic solving approach each time.
- Exam-focused Preparation: Practice with actual previous year questions from your target exams to understand their specific pattern styles.
- Time Management: Develop speed through timed practice sessions, learning to quickly identify and eliminate wrong options.
- Error Analysis: Maintain a detailed log of mistakes to identify and strengthen weak areas.
- Visual Training: Regularly practice mental rotation and visualization exercises to improve spatial reasoning.
- Mock Tests: Include Missing Figure practice in full-length mock tests to build stamina and accuracy under exam conditions.
- Pattern Recognition Drills: Create flashcards of common patterns for quick recall during exams.
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.