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Practice · deliberate drilling

Practice centre

Pick a technique, get 10 questions generated locally. Nothing is uploaded while you drill. Goal: below three seconds per question.

Time 0:00 Mode: Multiply by 11 | questions: 10

Choose a mode and a level, then press "Start a set". Questions appear below and are marked together at the end.

How to drill (from the source book's training advice)

  • Slow before fast: for the first 20 questions say the steps out loud. Speed comes after the sequence is automatic.
  • Never guess: verify each answer with the DS digital root — two seconds, every time.
  • Ten minutes daily: frequency beats duration. Three days off costs you about 20% of your speed.
  • Review misses: a wrong answer maps to one step of one technique. Go back and read only that step.

Modes and the lessons behind them

ModeLessonCore move
Multiply by 11Multiplying by 11neighbour sums, carry in place
Square ending in 5 / any two digitsFast squaringfirst×(first+1) then 25; round and compensate
Multi-digit × one digitLR multiplicationmultiply from the left, merge as you go
LR add / subtractLR addition & subtractionleft to right, complement compensation
Bridge methodBridge methodfirst × first, cross, last × last
UT methodUT methodunits lane and tens lane, then merge