1.
(a)
Reflection in y = x
M1 Reflection
A1 correct description of the line
2
(b)
Triangle at (4, 6), (4, 7), (7, 7)
M1 Rotation 90° clockwise A1 position
2
[4]
2.
Vertices (3,1), (5,1), (2,4), (0,4) and
ruled parallelogram drawn.
M1 3 or 4 vertices correctly plotted.
If M0, SC1 Correct reflection in y = 3.
(3,5), (1,5), (4,2), (6,2).
[2]
3.
(a)
(i)
(ii)
3
1
–1
1
correct translation
drawn
} ft where possible (i.e. still on the grid)
1 ft
1 ft
} condone inaccuracy/unruled if intention
is clear
} if 1 scale used then penalise first
2
occurence only (–1)
(b)
(i)
(ii)
–2
1
2
1
correct translation
drawn
} ft where possible (i.e. still on the grid)
1 ft
1 ft
} condone inaccuracy/unruled if intention
is clear
(c)
enlargement
1
(centre) (0, 0) o.e.
must be a single transformation
1
(scale factor) 2
1
[11]
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1
4.
(a)
(i)
Throughout parts (i) to (v) if more than one
transformation is given then no marks at all for
that part
Translation only
Accept T
 0 

 o.e.
  11 
(ii)
(iii)
(iv)
(v)
(b)
(i)
(ii)
B1
B1
Reflection only
Accept M
B1
x = 1 o.e. only
B1
Reflection only
Accept M
B1
y = –x o.e. only
B1
Enlargement only
Accept E
B1
(centre)(2, 0), only
B1
(scale factor) 0.5 o.e. only
B1
Stretch only
Accept S
B1
(factor) 2, only
B1
x-axis o.e. invariant c.a.o only
Ignore parallel to y-axis
B1
 0  1


1 0 
B1 each column
1 0


0 2
B1 for right hand column
B2
B2
[16]
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2
5.
all within 1 mm
(a)
(b)
(c)
(d)
(e)
translation
drawn
(–5, 4), (–3, 4), (–4, 5)
SC1 for any other translation not parallel to a axis
reflection
drawn
(1, –3), (3, –3), (2, –4)
SC1 for reflection in x = –1 or any y = k
rotation
drawn
(–1, –1), (–3, –1), (–2, –2)
SC1 for any 180 rotation or +90, –90 about (0, 0)
enlargement
drawn
(2, 2), (6, 2), (4, 4)
SC1 for any other enlargement sf = 2 or centre (0, 0)
B2
B2
B2
B2
enlargement
B1
(sf =) 1/2
B1
(centre) (0, 0)
accept O
B1
[11]
6.
(i)
1
1
(ii)
1
1
(iii)
correct rotation
drawn
SC1 for 180 rotation about any other point
SC1 for ± 90 rotation about O
(iv)
reflection in the x-axis oe
} must be a single transformation
} condone inaccuracy/unruled if intention
is clear } enlargement, s.f. = –1, centre (0, 0) is B2
2
M1
B1(dep)
[6]
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3
7.
6
B
4
2
T
R
–6
–4
–2
0
2
4
6
8
10
–2
A
–4
–6
(a)
(i)
(ii)
M
translation
must be a single transformation
not translocation etc
1
(–7)
accept in words 7 left
1
(–4)
accept in words 4 down
1
enlargement
must be a single transformation
1
S.F = 3
1
centre (0, 0)
1
(b)
correct rotation
SC1 for any rotation of 90 anticlockwise
or SC1 for correct rotation of 90 clockwise
2
(c)
correct reflection
SC1 for any reflection in y = k
or SC1 for correct reflection in x = –2
2
[10]
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4
8.
(a)
(b)
(c)
(i)
(5, 3)
(ii)
(3, 5)
ft from (a)(i)
B1
1+1
0 1


1 0
SC1 for a correct column
B2
M(Q) = (k – 3, k – 2)
SC2 if a numerical value of k is
seen
M1
TM(Q) = (k – 3 + 3, k – 2 + 2)
chosen and full working leads
to (k, k)
seen
M1
= (k, k) so y = x
E1
(k, k)
(d)
(e)
0 1


1 0
SC1 for determinant = –1 or
for “self-inverse”
(i)
(ii)
 0 1


  1 0
SC1 for 3 correct numbers.
B2
B2
Rotation
B1
Centre (0, 0)
B1
270° or clockwise 90°
B1
[15]
9.
(a)
(i)
(ii)
(b)
Rotation only,
B1
90° clockwise o.e.,
e.g. –90° or 270°
B1
Centre (0, 0)
B1
(3, –5)
B1
0 1


1 0
B1 each correct column
B2
[6]
ฉ Doublestruck & CIE - Licensed to Amnuay Silpa Bilingual School
5
10.
(a)
(b)
(i)
Vector KL drawn
If arrow shown, it must be correct.
Only ft their point if labelled L.
(ii)
(0, 2)
M1 for vector PS drawn or for
 4
(PS =)  
 2
(1, –1)
SC1 Point S on diagram at (1, –1)
1
1 ft
2
[4]
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6