Question 3 — IGCSE 0580 May/June 2023 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Geometry · Angles using geometrical properties. Worth 10 marks.
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Question text
3 (a) The scale drawing shows two sides, AB and BC, of a field.
The scale is 5 centimetres represents 200 metres.
A
B C
Scale: 5 cm to 200 m
(i) Measure angle ABC.
Angle ABC = ................................................ [1]
(ii) X is a point on BC.
BX = 332 m.
Mark the point X on the diagram. [2]
(iii) Find the scale in the form 1 : n.
1: ................................................ [2]
(b) A bronze statue is 4.5 m high and has a mass of 195 200 kg.
The density of bronze is 8000kg/m3.
The volume of a mathematically similar model of the statue is 0.385m3.
Calculate the height of the model.
[Density = Mass ÷ Volume]
............................................. m [5]
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