Page 19 - 1202 Question Bank Mathematics Form 5

Answer: 17. (a) Diagram 7 shows point W on a Cartesian plane.
Class interval Frequency, Midpoint, y
(Mark) f x
6
20 – 24 5
4
3
2
1
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x
–4 –3 –2 –1 O 1 2 3 4 5 6
–1
–2
–3
W
(b) (i) –4

Diagram 7
( )
4
Transformation G is a translation .
2
Transformation H is a rotation of 90°
(ii)
anticlockwise about the centre (1, 1).
State the coordinates of the image of point W
under each of the following transformations:
(i) H 2
(ii) HG [4 marks]
(b) Diagram 8 shows three pentagons ABCDE,
(iii)
FGHIJ and FGRSJ, drawn on a Cartesian plane.
y
B
12
R
10 C E
(c) A
8
6
D
4
H 2 S
x
–10 –8 –6 –4 –2 O 2 4 6 8 10
G F –2
I
–4
J
–6
–8
–10

Diagram 8
(i) Pentagon FGRSJ is the image of ABCDE
under the combined transformation XY.
Describe, in full, the transformation:
(a) Y,
(b) X [4 marks]
(d) (ii) It is given that pentagon FGRSJ represents
2
a region of area 315 m . Calculate the area,
in m , of the shaded region. [5 marks]
2
(iii) Draw the image of FGHIJ under a reflection
at the line y = 4 on the Cartesian plane.
[2 marks]

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MPaper 1202BS Maths F5.indd 116 25/01/2022 11:49 AM