Group by Number of Sides

Group by Number of Sides problems involve classifying polygons based on how many sides they have. Common categories include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and circles (0 sides). These problems test your understanding of polygon properties and side counting.

10Worksheets
200+Practice Questions
BeginnerDifficulty
1-2 hoursHours to Master

Introduction to Group by Number of Sides

Group by Number of Sides problems involve classifying polygons based on how many sides they have. Common categories include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and circles (0 sides). These problems test your understanding of polygon properties and side counting.

Prerequisites

Polygon side counting Knowledge of triangle (3 sides) Quadrilateral knowledge (4 sides) Pentagon (5 sides), hexagon (6 sides) Circle (0 or infinite sides)
Why This Matters: Group by Number of Sides problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test geometric knowledge and attention to detail.

How to Solve Group by Number of Sides Problems

1

Step 1: Count the number of sides for each figure

2

Step 2: Circles have 0 sides (or infinite, but treated as curved)

3

Step 3: Triangles have 3 sides

4

Step 4: Quadrilaterals have 4 sides (squares, rectangles, rhombuses, etc.)

5

Step 5: Pentagon = 5 sides, Hexagon = 6 sides

6

Step 6: Group figures with the same side count together

7

Step 7: The classification basis is number of sides

Pro Strategy: Count sides systematically. All figures with the same number of sides belong to the same group. Circles are grouped separately as they have no straight sides.

Example Problem

Example: Figures: two triangles, two squares, two pentagons. How are they grouped? Solution: Step 1: Triangles have 3 sides Step 2: Squares have 4 sides Step 3: Pentagons have 5 sides Step 4: Group 1: 3-sided shapes (triangles) Step 5: Group 2: 4-sided shapes (squares) Step 6: Group 3: 5-sided shapes (pentagons) Step 7: Classification basis = Number of sides Answer: Grouped by number of sides

Pro Tips & Tricks

  • Triangle = 3 sides, Quadrilateral = 4 sides
  • Pentagon = 5 sides, Hexagon = 6 sides
  • Heptagon = 7 sides, Octagon = 8 sides
  • Circle = 0 straight sides (curved shape)
  • Square, rectangle, rhombus all have 4 sides
  • Count each side carefully - don't confuse vertices with sides

Shortcut Methods to Solve Faster

3 sides = triangle group
4 sides = quadrilateral group
5 sides = pentagon group
6 sides = hexagon group
0 straight sides = circle group
All figures with same side count form a group

Common Mistakes to Avoid

Counting vertices instead of sides
Confusing pentagon with hexagon
Grouping squares separately from rectangles (both have 4 sides)
Forgetting that circles have no straight sides

Exam Importance

Group by Number of Sides 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
INSURANCE
1-2 questions

Ready to Master Group by Number of Sides?

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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