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Back to Percentage Blueprint
Pattern 16·Core CAT·L2

Percentage Points vs Percentage Change

Low FrequencyImportant 60–90 sec

USE WHEN

A rate itself changes, e.g., 20% to 25%, and the question distinguishes absolute vs relative change.

BEST METHOD

Unit Check Method

TARGET

60–90 sec

MASTERY

not started

Recognition Cues

  • rate rises from x% to y%
  • percentage points vs percent increase
  • change of a percentage itself

How to Recognise

A rate itself changes, e.g., 20% to 25%, and the question distinguishes absolute vs relative change.

Core Concept

Percentage-point change is subtraction; percentage change is relative to the original rate.

ppchange=New%−Old%;relative%change=(New−Old)/Old×100pp change = New\%−Old\%; relative \% change = (New−Old)/Old\times 100ppchange=New%−Old%;relative%change=(New−Old)/Old×100

Athena Shortcut

Say the unit aloud: ‘points’ means subtract the rates directly.

Alternative Method · Unit Check Method

Ask whether the question wants percentage points or relative percentage change.

Timed drill

Identify the base or invariant before you calculate.

1:30

Attempt first · Standard Example

A rate rises from 20% to 25%. Change in percentage points?

Attempt first · CAT-Level Example

The same rate rises from 20% to 25%. Relative percentage increase?

Common Trap

  • 5 percentage points ≠ 5% increase.

3-level practice ladder

Attempt all three before checking solutions

Foundation

A conversion rate rises from 8% to 10%. Find the relative percentage increase.

CAT Standard

A success rate rises from 12% to 18%. State both the percentage-point increase and relative percentage increase.

Advanced / Hybrid

A dropout rate falls from 25% to 20%. State the percentage-point fall and relative percentage decrease.

PYQ Mapping

Related archetypeCAT

percentage-point language is less common as a standalone qa archetype; keep it as interpretation fluency.

Pattern Connections

#04 Percentage Increase / Decrease #11 Population Growth / Decline #12 Appreciation / Depreciation
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Learning flow

  1. 1Recognition Cues
  2. 2How to Recognise
  3. 3Core Concept
  4. 4Formula
  5. 5Athena Shortcut
  6. 6Alternative Method
  7. 7Timed Drill
  8. 8Standard Example
  9. 9CAT-Level Example
  10. 10Common Trap
  11. 11Practice Ladder
  12. 12PYQ Mapping
  13. 13Connections
  14. 14Mastery

Attempt every example before opening its answer.