May/June 2026 Paper 42

2026 · 22 questions · 39 parts · 100 marks

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18(a)Sine Cosine RulesEasy1 mark
In this question, all lengths are in centimetres.
Two triangles, not to scale: triangle ABC with BC = 2x, AC = x and angle ACB = 30°; right-angled triangle DEF with the right angle at E, DE = (x − 4) and EF = (2x − 6)
Show that the area of triangle is .

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18(b)Quadratic Equations InequalitiesMedium3 marks
The area of triangle is equal to the area of triangle .
Show that .

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18(c)Quadratic Equations InequalitiesMedium4 marks
By factorising and solving , find the area of triangle .
Factorised form
Area