Question 6 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Angles using geometrical properties. Worth 11 marks.
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Question text
6 (a)
P Q
114° 3y° NOT TO
SCALE
y°
S
R
114°
T
In the diagram, PST is a straight line.
(i) Give the geometrical reason why the lines PQ and SR are parallel.
............................................................................................................................................. [1]
(ii) Write down the mathematical name for the shape PQRS.
................................................. [1]
(iii) Find the value of y.
y = ................................................. [2]
© UCLES 2023 0580/33/O/N/23
13
(b)
y
7
6
C
5
4
3
2
1
- 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 x
- 1
- 2
B
A
- 3
- 4
- 5
- 6
(i) Describe fully the single transformation that maps triangle A onto triangle B.
.............................................................................................................................................
............................................................................................................................................. [3]
(ii) Describe fully the single transformation that maps triangle A onto triangle C.
.............................................................................................................................................
............................................................................................................................................. [2]
(iii) On the grid, enlarge triangle A by scale factor 3, centre (4, -5). [2]
© UCLES 2023 0580/33/O/N/23 [Turn over
14
Mark scheme
