Hello
These are the rates charged by a painter, a plumber and an electrician who do some work for
Mr Sharma.
(d) Write down the ratio of the amount Mr Sharma pays to the painter, the plumber and the
electrician. Give your answer in its lowest terms.
painter : plumber : electrician = .................. : .................. : .................. [2]
Electrician
$48 per hour for the first 2 hours
then $32 per hour
........................................ hours [2]
........................................ hours [2]
2
y
3
–14
–12
–10
–
8
B
–
6
C
–
4
–
2
14
12
10
–2
–4
–6
–8
8
6
4
2
0
2
4
A
6
8
1
0x
(a)
–10
Describe fully the single transformation that maps (i) triangle A onto triangle B,
(b) (c)
Draw the image of triangle A after a translation by the vector e
-5
o. -10
[2] [2]
[Turn over
.............................................................................................................................................
............................................................................................................................................. [3]
(ii) triangle A onto triangle C.
.............................................................................................................................................
............................................................................................................................................. [3]
Draw the image of triangle A after a reflection in the line y = 4. © UCLES 2021 0580/42/F/M/21
3 (a)
a°
126°
c°
b°
The diagram shows two straight lines intersecting two parallel lines.
Find the values of a, b and c.
NOT TO SCALE
4
(b)
Q
58° x° P
a = ................................................
b = ................................................
c = ................................................ [3]
NOT TO SCALE
R
S
Points R and S lie on a circle with diameter PQ. RQ is parallel to PS.
Angle RPQ = 58°.
63°