Question 21 — IGCSE 0580 Specimen 2025 Paper 21
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Algebra · Basic algebra. Worth 9 marks.
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Question text
21 In this question, all measurements are in centimetres.
NOT TO
SCALE
h (h+2)
x
(x+1)
The height of the triangle is h and the height of the rectangle is (h + 2).
The length of the base of the triangle is x and the length of the rectangle is (x + 1).
The area of the triangle is 11 cm2 and the area of the rectangle is 39 cm2.
(a) Write down an expression, in terms of x, for the height of the rectangle.
............................................... [1]
(b) Show that 2x2 – 15x + 22 = 0 .
[3]
(c) By factorising and solving 2x2 – 15x + 22 = 0 , find the two possible heights of the triangle.
h = .................... or h = .................... [5]
© Cambridge University Press & Assessment 2022 0580/02/SP/25
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