Standard & Compound UnitsEdexcel IGCSE Maths: Flashcards

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Convert $1\text{ km}$ to m

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Convert $1\text{ km}$ to m: $1000\text{ m}$
Convert $1\text{ m}^2$ to cm $^2$: $10\\,000\text{ cm}^2$ (multiply by $100^2$ )
Convert $1\text{ m}^3$ to cm $^3$: $1\\,000\\,000\text{ cm}^3$ (multiply by $100^3$ )
Formula for density: $\text{density} = \dfrac{\text{mass}}{\text{volume}}$
Units of density: g/cm $^3$ or kg/m $^3$
Formula for speed: $\text{speed} = \dfrac{\text{distance}}{\text{time}}$
Formula for pressure: $\text{pressure} = \dfrac{\text{force}}{\text{area}}$ , units N/m $^2$ (Pa)
Convert km/h to m/s — what do you multiply by?: $\dfrac{5}{18}$
Convert m/s to km/h — what do you multiply by?: $\dfrac{18}{5}$ (or 3.6)
$1\text{ litre} = ?\text{ cm}^3$: $1000\text{ cm}^3$
Rearrange density formula to find mass: $\text{mass} = \text{density} \times \text{volume}$
Rearrange density formula to find volume: $\text{volume} = \dfrac{\text{mass}}{\text{density}}$
Rule for converting larger to smaller metric units: Multiply
Rule for converting smaller to larger metric units: Divide
Why must area/volume conversion factors be squared/cubed?: Because area is 2D and volume is 3D, so the linear scale factor applies in each dimension