• In-the-exam Formula Sheet

• Completing Square

  • $(x+\frac{b}{2})^2-(\frac{b}{2})^2+q$

• Compound Interest Formulae

  • $p(1+\frac{r}{100})^n$

• Arc Length

  • $(θ/360) * 2πr$
  • $(θ/360) * πd$

• Sector Area

  • $(θ/360) * πr^2$

• Area of Sector

  • $πr^2*(\frac{θ}{360})$

• Quadratic Sequence Algebra

  $a+b+c=qs_1$

  $3a+b=qs_2$

  $2a=qs_3$

• Geometric Sequence

  • $a_n=ar^{n-1}$

• Cubic Sequence Algebra

  $a+b+c+d=cs_1$

  $7a+3b+c=cs_2$

  $12a+2b=cs_3$

  $6a=cs_4$

• Direct Proportion

  • $y=kx$

• Indirect Proportion

  • $y=\frac{k}{x}$

• Similarity — Scale Factor

  • $k=\frac{Image(i)}{Object(O)}$

• Amplitude (Height, Y) and Period (Freq, X) of Sinx and Cosx Graph:

  • $y=Asin(\frac{360}{B})*(θ)$
  • $y=Acos(\frac{360}{B})*(θ)$

• Point Slope Form

  • $y - y₁ = m(x - x₁)$

• Perpendicular Line Gradient

  • $\frac{-1}{m}$

• Gradient Formulae

  • $m=\frac{y}{x}$
  • $m=\frac{(y_2-y_1)}{(x_2-x_1)}$

• Mid-Point Formulae

  • $M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Mensuration Units

$1litres=1000cm^3$

$1m^3=1000 litres$