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

$25+\frac{25\pi}{2}$
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

742 or 743
M5 for a method leading to the volume of water, e.g.
$$4\left\{2\times\frac{\operatorname{invcos}(0.15/0.45)}{360}\times\pi\times0.45^2-\frac12\times0.45^2\times\sin\left(2\operatorname{invcos}(0.15/0.45)\right)\right\}$$
OR M2 for a correct sector area expression and M2 for a correct triangle area expression
If 0 scored, SC1 for $\operatorname{invcos}(0.15/0.45)$, $\operatorname{invsin}(0.15/0.45)$, or $\sqrt{0.45^2-0.15^2}$ soi

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