CAIE IGCSE Mathematics Density and Population Density

Practise calculating density, mass or volume and applying population density after converting all measurements to compatible units.

Exam points

use density = mass ÷ volume and rearrange it to find a missing mass or volume
calculate the solid's volume from its geometry before applying the density relationship
find population density as population divided by area and state people per square kilometre

[Maximum number: 3]

A bar of gold in the shape of a cuboid has dimensions 2 cm by 4 cm by 6.5 cm .
The density of gold is $19.32 \mathrm{~g} / \mathrm{cm}^{3}$ .
Calculate the mass of this bar of gold.
$\left[\right.$ Density $\left.=\frac{\text { mass }}{\text { volume }}\right]$

1004.64

M1 for $2 \times 4 \times 6.5$ oe implied by 52
M1 for $19.32=\frac{[\text { mass }]}{\text { their } 52}$ or better

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C1.12.2 Apply other measures of rate. question 1