AthenaPrepAthenaPrep

Menu

HomeLearnQuant Blueprints
FlashcardsConcept MapsPYQsMocksFocus
1:1 MentorshipQuantify CATRevision Resources
Refer & Earn
AthenaPrepAthenaPrep

Menu

HomeLearnQuant Blueprints
FlashcardsConcept MapsPYQsMocksFocus
1:1 MentorshipQuantify CATRevision Resources
Refer & Earn
AProfile
Back to Percentage Blueprint
Pattern 21·Advanced·L3

Percentage Error

Medium FrequencyImportant 90–120 sec

USE WHEN

Measured/calculated value differs from actual value; error or correction is asked.

BEST METHOD

Multiplier on Derived Quantity

TARGET

90–120 sec

MASTERY

not started

Recognition Cues

  • measured vs actual
  • overestimate/underestimate
  • derived quantity error

How to Recognise

Measured/calculated value differs from actual value; error or correction is asked.

Core Concept

Percentage error uses the actual/true value as the denominator unless stated otherwise.

%error=∣Measured−Actual∣/Actual×100\% error = |Measured−Actual|/Actual \times 100%error=∣Measured−Actual∣/Actual×100

Athena Shortcut

If a dimension has multiplicative error, use multipliers for derived quantities.

Alternative Method · Multiplier on Derived Quantity

Apply squared/cubed multipliers for area and volume errors.

Timed drill

Identify the base or invariant before you calculate.

2:00

Attempt first · Standard Example

A true value is 80 but measured as 84. Percentage error?

Attempt first · CAT-Level Example

The side of a square is overestimated by 10%. By what % is its area overestimated?

Common Trap

  • For area/volume, percentage error in dimensions compounds; it is not simply copied.

3-level practice ladder

Attempt all three before checking solutions

Foundation

A radius is underestimated by 10%. What is the exact percentage error in the calculated area?

CAT Standard

The side of a square is overestimated by 8%. By what percentage is its area overestimated?

Advanced / Hybrid

The edge of a cube is overestimated by 5%. By what percentage is its volume overestimated?

PYQ Mapping

Related archetypeCAT

measurement-error compounding is a transferable percentage pattern; no exact modern cat mapping asserted.

Pattern Connections

#12 Appreciation / Depreciation #22 Repeated Percentage Operations #30 Percentage + SI / CI
Sign in to save progressAll patterns

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.