Kung Fu Math · 参考
Cheat sheets
Formulas, diagrams and worked examples to keep beside your practice. Understand the pattern first — then practise recalling it without support.
The unit circle
A point on the unit circle has coordinates (cos θ, sin θ). Start with the first quadrant, then use symmetry to find the signs.
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Squares & conjugates
Split a square into smaller areas to see where every term comes from. The middle term appears twice.
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log
Logarithms, powers & roots
A logarithm answers: what exponent produces this number? In logᵦ x, require b > 0, b ≠ 1 and x > 0.
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%
Fractions & percentages
A fraction is a division. Convert to percent by multiplying by 100. Reduce numerator and denominator by the same common factor.
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÷
Mental arithmetic shortcuts
Choose friendly numbers, calculate one step at a time and estimate the result before checking your exact answer.
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