CAIE IGCSE Mathematics Extended E5.5.1 Carry Out Calculations and Solve Problems Involving Perimeters and Questions

Practise Extended CAIE IGCSE Mathematics by splitting composite figures, adding boundary lengths and applying area formulas.

Exam points

Calculate perimeter and area of compound or composite shapes.
Split a figure into familiar regions and combine their areas.
Use boundary lengths, scale and units consistently in perimeter problems.

[Maximum number: 4]

Figure for Question CAIE IGCSE Mathematics Extended E5.5.1 Carry Out Calculations and Solve Problems Involving Perimeters and Questions question 1 — CAIE IGCSE Mathematics Extended

The diagram shows a shape made from a major sector AOB and triangles OBC and AOD. $O B=6 \mathrm{~cm}, B C=2 \mathrm{~cm}$ , obtuse angle $A O C=135^{\circ}$ and angle $B C O=90^{\circ}$ .

Calculate the total area of the shape.

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

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CAIE IGCSE Mathematics Extended E5.5.1 Carry Out Calculations and Solve Problems Involving Perimeters and Questions question 1