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Mental math under pressureFree9 min read

The techniques that matter

Rounding with correction, factor shuffling, and the percentage tricks worth automating.

Case maths is not competition arithmetic. It is a small set of operations on large round numbers, done out loud without mistakes. Drill these five and you cover the overwhelming majority of what appears.

  1. Round and correct: 47 x 21 becomes 47 x 20 = 940, plus 47 = 987. Faster and more reliable than long multiplication.
  2. Shuffle factors: 25 x 48 becomes 100 x 12 = 1,200 by moving a 4 across. Look for 25, 50, 125 and pair them with their complements.
  3. Work in units, not zeros: write $4.2bn as 4.2 and track the unit in the margin. Almost every arithmetic disaster in a case is a misplaced zero.
  4. Percentages via fractions: 12.5% is one eighth, 16.7% is one sixth, 37.5% is three eighths. Dividing is faster than multiplying by a decimal.
  5. Estimate before you compute: say 'this should land near 900' before starting. You will catch order-of-magnitude errors instantly.

Now put it into practice

Reading only gets you so far.

Drill these techniques against a clock