CAIE IGCSE Mathematics Extended E4.4.2 Use the Relationships Between Lengths and Areas of Similar Shapes and Questions

Practise Extended CAIE IGCSE Mathematics by relating corresponding lengths and areas through similarity scale factors.

Exam points

Use the scale factor for lengths and the square of the scale factor for areas in similar shapes.
Calculate missing lengths or areas from corresponding similar figures.
Explain proportional relationships between corresponding sides and areas.

[Maximum number: 3]

A sector of a circle has radius 8 cm and area 160 cm^2.

A mathematically similar sector has radius 20 cm .
Calculate the area of the larger sector.
cm^2
[3]

1000 cao
M2 for $160\times\left(\frac{20}{8}\right)^2$ or $160\div\left(\frac{8}{20}\right)^2$ oe
or M1 for $\left(\frac{20}{8}\right)^2$ or $\left(\frac{8}{20}\right)^2$ oe

All question bank results loaded

CAIE IGCSE Mathematics Extended E4.4.2 Use the Relationships Between Lengths and Areas of Similar Shapes and Questions question 1