Size Progression

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.

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

Introduction to Size Progression

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.

Prerequisites

Arithmetic progression concept Geometric progression concept Understanding of scaling factors Basic multiplication and addition
Why This Matters: Size Progression problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test proportional reasoning and scaling concepts.

How to Solve Size Progression Problems

1

Step 1: Measure or note the size (radius, side length, area) of each figure

2

Step 2: Calculate the difference between consecutive sizes

3

Step 3: If differences are constant → arithmetic progression

4

Step 4: If ratios between consecutive sizes are constant → geometric progression

5

Step 5: Apply the same change to the last figure's size

6

Step 6: The shape type usually remains constant; only size changes

7

Step 7: Select the figure with the calculated size

Pro Strategy: First determine whether progression is arithmetic (constant difference) or geometric (constant ratio). Use appropriate formula to find next size. The shape remains identical, only scaled.

Example Problem

Example: Circle radii: 10, 20, 30, 40. What is the next radius? Solution: Step 1: Radii: 10, 20, 30, 40 Step 2: Differences: +10 each time Step 3: Next radius = 40 + 10 = 50 Answer: Circle with radius 50

Pro Tips & Tricks

  • Practice regularly to build speed and accuracy
  • Understand the concept before memorizing formulas
  • Start with easier problems and gradually increase difficulty

Exam Importance

Size Progression 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
2-3 questions
INSURANCE
1-2 questions

Ready to Master Size Progression?

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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