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Level 1
Level 2
Level 3
Level 4
Reflections & rotations
12 questions
Lesson
Not started
Mark as done
The diagram shows quadrilateral
S
S
S
and its image
S
′
S'
S
′
after a rotation of
180
°
180°
180°
.
-8
-6
-4
-2
2
4
6
8
10
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
S
S'
Find the centre of the rotation.
●●●●
●
Level 4
2 marks
Start
→
Mark as done
Triangle
R
R
R
has vertices
(
2
,
3
)
(2, 3)
(
2
,
3
)
,
(
2
,
6
)
(2, 6)
(
2
,
6
)
and
(
4
,
3
)
(4, 3)
(
4
,
3
)
.
Triangle
R
R
R
is rotated
90
°
90°
90°
clockwise about the point
(
2
,
1
)
(2, 1)
(
2
,
1
)
to give triangle
R
′
R'
R
′
.
(a)
Find the coordinates of the image of the vertex
(
2
,
6
)
(2, 6)
(
2
,
6
)
.
(b)
Describe fully the single transformation that maps triangle
R
′
R'
R
′
back onto triangle
R
R
R
.
●●●●
●
Level 4
4 marks
Start
→
Mark as done
The diagram shows shape
P
P
P
and shape
Q
Q
Q
on a coordinate grid.
-6
-4
-2
2
4
6
8
10
-5
-4
-3
-2
-1
1
2
3
4
5
6
P
Q
Describe fully the single transformation that maps shape
P
P
P
onto shape
Q
Q
Q
.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
The point
A
A
A
has coordinates
(
2
,
5
)
(2, 5)
(
2
,
5
)
.
A
A
A
is reflected in the line
y
=
x
y = x
y
=
x
to give
B
B
B
. Then
B
B
B
is reflected in the
x
x
x
-axis to give
C
C
C
.
Write down the coordinates of
C
C
C
.
●●●●
●
Level 4
2 marks
Start
→
Mark as done
-6
-4
-2
2
4
6
-4
-3
-2
-1
1
2
3
4
5
6
A
x
y
Triangle
A
A
A
is translated by the vector
(
−
4
2
)
\begin{pmatrix} -4 \\ 2 \end{pmatrix}
(
−
4
2
)
to give triangle
B
B
B
.
Triangle
B
B
B
is rotated
90
°
90°
90°
anticlockwise about the point
(
−
1
,
1
)
(-1, 1)
(
−
1
,
1
)
to give triangle
C
C
C
.
Describe fully the single transformation that maps triangle
A
A
A
onto triangle
C
C
C
.
(3 marks)
●●●●
●
Level 4
3 marks
Start
→
Translations & enlargements
16 questions
Lesson
Not started
Mark as done
The diagram shows triangle
P
P
P
and triangle
Q
Q
Q
.
-4
-2
2
4
6
8
10
-1
1
2
3
4
5
6
7
8
9
P
Q
Describe fully the single transformation that maps triangle
P
P
P
onto triangle
Q
Q
Q
.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
The diagram shows triangle
M
M
M
and the point
C
C
C
.
-8
-6
-4
-2
2
4
6
-5
-4
-3
-2
-1
1
2
3
4
5
6
C
M
(a)
Enlarge triangle
M
M
M
by scale factor
−
2
-2
−
2
, centre
C
C
C
.
(b)
Write down the coordinates of the image of the vertex
(
3
,
2
)
(3, 2)
(
3
,
2
)
.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Rectangle
R
R
R
has vertices
(
2
,
2
)
(2, 2)
(
2
,
2
)
,
(
5
,
2
)
(5, 2)
(
5
,
2
)
,
(
5
,
4
)
(5, 4)
(
5
,
4
)
and
(
2
,
4
)
(2, 4)
(
2
,
4
)
.
Rectangle
R
R
R
is enlarged by scale factor
3
3
3
, centre the origin, to give rectangle
R
′
R'
R
′
.
(a)
Work out the perimeter of rectangle
R
′
R'
R
′
.
(b)
Work out how many times bigger the area of
R
′
R'
R
′
is than the area of
R
R
R
.
(c)
Rectangle
R
′
R'
R
′
is then translated by the vector
(
−
4
1
)
\begin{pmatrix} -4 \\ 1 \end{pmatrix}
(
−
4
1
)
. Write down the coordinates of the image of the vertex
(
6
,
6
)
(6, 6)
(
6
,
6
)
of
R
′
R'
R
′
.
●●●●
●
Level 4
5 marks
Start
→
Mark as done
The diagram shows triangle
A
A
A
and triangle
B
B
B
on a coordinate grid.
-4
-2
2
4
6
8
10
-1
1
2
3
4
5
6
7
8
9
10
A
B
Describe fully the single transformation that maps triangle
A
A
A
onto triangle
B
B
B
.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Triangle
T
T
T
has vertices
(
4
,
2
)
(4, 2)
(
4
,
2
)
,
(
8
,
2
)
(8, 2)
(
8
,
2
)
and
(
4
,
6
)
(4, 6)
(
4
,
6
)
.
Triangle
T
T
T
is enlarged by scale factor
−
1
2
-\tfrac12
−
2
1
, centre the origin, to give triangle
T
′
T'
T
′
.
Write down the coordinates of the vertices of
T
′
T'
T
′
.
●●●●
●
Level 4
2 marks
Start
→
Mark as done
The diagram shows triangle
P
P
P
and triangle
Q
Q
Q
on a coordinate grid.
-6
-4
-2
2
4
6
8
-4
-3
-2
-1
1
2
3
4
5
6
P
Q
Describe fully the single transformation that maps triangle
P
P
P
onto triangle
Q
Q
Q
. (3 marks)
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Triangle
P
P
P
and triangle
Q
Q
Q
are drawn on the grid.
-8
-6
-4
-2
2
4
6
-6
-5
-4
-3
-2
-1
1
2
3
4
P
Q
Describe fully the single transformation that maps triangle
P
P
P
onto triangle
Q
Q
Q
. (3 marks)
●●●●
●
Level 4
3 marks
Start
→
Mark as done
-6
-4
-2
2
4
6
-4
-3
-2
-1
1
2
3
4
5
6
A
x
y
Triangle
A
A
A
is translated by the vector
(
−
4
2
)
\begin{pmatrix} -4 \\ 2 \end{pmatrix}
(
−
4
2
)
to give triangle
B
B
B
.
Triangle
B
B
B
is rotated
90
°
90°
90°
anticlockwise about the point
(
−
1
,
1
)
(-1, 1)
(
−
1
,
1
)
to give triangle
C
C
C
.
Describe fully the single transformation that maps triangle
A
A
A
onto triangle
C
C
C
.
(3 marks)
●●●●
●
Level 4
3 marks
Start
→
Mark as done
The diagram shows triangle
T
T
T
drawn on a grid.
-6
-4
-2
2
4
6
8
10
-3
-2
-1
1
2
3
4
5
6
7
8
9
T
x
y
On the grid, enlarge triangle
T
T
T
by scale factor
−
1
2
-\frac{1}{2}
−
2
1
with centre of enlargement
(
1
,
2
)
(1, 2)
(
1
,
2
)
(2 marks)
●●●●
●
Level 4
2 marks
Start
→