Question 7 — IGCSE 0580 May/June 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Angles using geometrical properties. Worth 15 marks.
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Question text
7 (a)
D
NOT TO
SCALE
C
x°
108°
y°
46° B
A
The diagram shows a triangle ABC and a straight line BCD.
(i) Angle ACB = 108°.
Write down the mathematical name for this type of angle.
................................................. [1]
(ii) Work out the value of x.
x = ................................................. [1]
(iii) Work out the value of y.
y = ................................................. [1]
(b) Show that the mean of the angles in any triangle is 60°.
[1]
(c)
NOT TO
h cm SCALE
35°
8 cm
The diagram shows a right-angled triangle.
Calculate the value of h.
h = ................................................. [3]
© UCLES 2023 0580/33/M/J/23
15
(d)
R
C NOT TO
SCALE
2.4 cm 7.92 cm
A 1.36 cm B P 6.12 cm Q
Triangle ABC is similar to triangle PQR.
(i) Calculate PR.
PR = ............................................ cm [2]
(ii) Calculate BC.
BC = ............................................ cm [2]
(e)
24 cm
NOT TO
SCALE
26 cm
The diagram shows a right-angled triangle.
Calculate the perimeter of this triangle.
............................................ cm [4]
Question 8 is printed on the next page.
© UCLES 2023 0580/33/M/J/23 [Turn over
16
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