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Speed Math

The mental-math toolkit: fraction-percent equivalents, multiplication and division tricks, and the drills that make them automatic.

9 minute read

The Case Math Playbook covers WHAT to calculate. This guide is about doing it fast. None of these tricks are clever for their own sake; each one replaces a slow, error-prone operation with a quick one you can do out loud without losing your train of thought.

The fraction-percent table (memorize this cold)

Division is slow; multiplying by a known percentage is fast. Every GMAT high-scorer and every consultant has this table memorized:

FractionPercentFractionPercent
1/250%1/812.5%
1/333.3%1/911.1%
1/425%1/1010%
1/520%1/119.1%
1/616.7%1/128.3%
1/714.3%1/205%

How it pays off: "divide $840M across 7 regions" becomes 840 × 14.3% ≈ $120M. "One competitor out of 12 exits, how much share is up for grabs?" is instantly ~8%. It works in reverse too: seeing "37%" should make you think "a bit over a third."

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