1) ABCD is a rectangle drawn on coordinate axes.
The sides of the rectangle are parallel to the axes.
y
What are the coordinates of D and E?
A
E
B
(–10, 8)
(
D is
,
)
x
0
D
1 mark
E is
(
,
C
)
(14, –4)
2 )Here is a shaded square on x and y axes.
y
For each of these points, put a tick ( ) to show
60
if it is inside the square or outside the square.
Inside
the square
outside
the square
(50, 70)
(60, –30)
–20
0
80
x
(–10, 50)
(–30, –30)
–40
2 marks
3) A, B, C and D are the vertices of a rectangle.
A and B are shown on the grid.
y
7
6
D is the point ( 3, 4)
5
Write the coordinates of point C.
4
A
B
3
(
,
)
2
1
0
1
2
3
4
5
6
7
8
9 x
4) The diagram shows two identical squares.
A is the point (10,10)
What are the coordinates of B and C?
B is
(
,
)
ark
C is
(
,
)
y
5) Here is a kite.
B (5, 6)
Write the coordinates of point D.
(
,
A
(3, 4)
C (10, 4)
)
D
x
0
6) Here is a pentagon drawn on a coordinate grid.
y
B (7,10)
The pentagon is symmetrical.
A
C
(4,9)
What are the coordinates of point C?
(
,
)
E
0
7) A, B and C are three corners of a rectangle.
What are the coordinates of the fourth corner?
(
,
)
(2,0)
(12,0) D
x
8) Kyle has drawn triangle ABC on this grid.
Holly has started to draw an identical triangle DEF.
What will be the coordinates of point F?
(
,
)
9) Here is a shaded square.
Write the coordinates for point A.
A=
10) The shaded shape is a parallelogram.
y
Write in the coordinates of point A.
A
(20, 27)
(
,
)
(15, 17)
0
(35, 17)
x
11) The shaded triangle is a reflection of the
mirror line
y
(5,9)
white triangle in the mirror line.
A
Write the co-ordinates of point A and point B.
A is
(
,
)
B is
(
,
)
(1,3)
(5,3)
(11,3)
B
x
0
12) Here is a graph
The points A, B and C are equally spaced.
y
What are the co-ordinates of the point B?
C
(10,6)
(
,
)
B
Point D is directly below point C.
What are the co-ordinates of the point D?
A
(0,2)
(
,
)
D
0
x
13) Write the co-ordinates
11
of the next triangle in the sequence.
10
9
(7, 8)
8
7
(4, 6)
C
6
5
(1, 4)
4
3
1
(4, 3)
A
2
(7, 5)
B
(1, 1)
(9, 5)
(6, 3)
(3, 1)
0
0
14) (7, 6) are coordinates of a point on the line.
1
2
3
4
5
6
7
8
9
10
11 12
13
9
8
(a)
Tick (
) which of these are coordinates
of other points on the line.
7
6
X
5
(3,2)
(9,10)
4
3
(5,4)
(4,2)
2
1
(10,9)
(7,9)
0
0
1
2
3
4
5
6
7
8
9
b) How do you know that point (11, 12) would not be on this
line?......................................................................................................................................
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10 11
15 ) The Cave has co-ordinates
(7 , 4).
(
What are the co-ordinates of the Treasure?
,
)
1 cm
MAP OF AN ISLAND
10
1 cm
N
9
W
8
E
S
7
Old Ruins
x
6
Treasure
x
5
SCALE
1cm to 1km
Cave
x
4
Mountain Peak
x
Black Rock
Waterfall
x
x
3
2
Sandy Bay
1
0
0
1
2
3
4
5
6
7
8
9
10