CAIE IGCSE Mathematics Extended E5.5 Compound Shapes and Parts of Shapes Topic Practice

94.2 or 94.3 or 94.15 to 94.27... nfww
M1 for $\frac12\times6\times\text{their }OD\times\sin135$ oe
M1 for $\frac12\times6\times2\times\sin(90-19.5)$ oe or for $\frac12\times\text{their }OC\times2$
M1dep for their (a)(ii) + their two triangle areas

168 or 167.5 to 167.6

M3 for
$\frac{\pi}{3} \times\left[4.2^{2} \times(4.5+7.5)-\left(4.2 \times \frac{7.5}{4.5+7.5}\right)^{2} \times 7.5\right]$
oe
or M2 for
$$\left(\frac{7.5}{7.5+4.5}\right)^{3} \times \frac{1}{3} \times \pi \times 4.2^{2} \times(4.5+7.5)$$
or for $\frac{1}{3} \times \pi \times\left(4.2 \times \frac{7.5}{4.5+7.5}\right)^{2} \times 7.5$
or $\mathbf{M 1}$ for $\frac{1}{3} \times \pi \times 4.2^{2} \times(4.5+7.5)$
OR
M1 for $\frac{1}{3} \times \pi \times 4.2^{2} \times(4.5+7.5)$
M1 for $\frac{4.2}{4.5+7.5}=\frac{\text { radius }}{7.5}$ oe or better
M1 for $\frac{1}{3} \times \pi \times(\text { their } 2.625)^{2} \times 7.5$

$25+\frac{25\pi}{2}$
M2 for $\frac{90}{360}\times\pi\times(\sqrt{5^2+5^2})^2$
or M1 for $\text{radius}^2=5^2+5^2$
M1 for triangle area $[2\times]\frac{1}{2}\times5\times5$ oe