COORDINATES
CONTENT DOMAIN REFERENCES: KS2 SATS
P3 PRACTICE QUESTIONS BY TOPIC
15
1 The diagram shows two identical squares.
[2005]
B A (10, 10)
(0, 0)
A is the point (10, 10)
What are the coordinates of B and C?
B is ( , ) 15a
1 mark
C is ( , ) 15b
1 mark
[2 marks]
Contains public sector information licensed under the Open Government Licence v3.0 Questions compiled by:
www.nationalarchives.gov.uk/doc/open-government-licence @Maths4Everyone
[2004]
20
22 Hereis is
Here a kite.
a kite.
[2004]
[2004]
19 Julie says,
16 Calculate 15.05 – 14.84 16
1 mark
‘I added three odd numbers and
my answer was 50’
16 Calculate 15.05 – 14.84 16
5
1 mark
Explain why Julie cannot be correct.
10
Write the coordinates of point D.
Write
Writethe coordinates
the of point
coordinates D.
of point D.
!
1 mark
19
17
3
[2002]
The shaded
Write shape is aof
the coordinates parallelogram.
point D.
(
(
,
,
)
) !
!
1 mark
20
20
202 Here is a kite.
1 mark [1 mark]
[1 mark]
!
[1 mark]
17
3
[2004] The shaded shape is a parallelogram. ( , ) 20
3 The shaded shape is a parallelogram.
[2002] 1 mark
[2002]
[1 mark]
16
15 16
16
10 Write the coordinates of point D.
Write the coordinates of point A.
Write in the coordinates of point A.
( , ) 17
Write in the coordinates of point A.
( , )
!1 mark
1 mark
20
[1 mark]
( , ) [1
[1 mark]
17 mark]
1 mark
15 [1 mark]
23
4 Here is a pentagon drawn on a coordinate grid.
[2003]
4 Here is a pentagon drawn on a coordinate grid.
The pentagon is symmetrical.
202
[2003] Here
The is a kite.
pentagon is symmetrical.
[2004]
19 Julie says,
M003501 – 3 October 2014 12:52 PM – Version 2
M003501 – 3 October 2014 12:52 PM – Version 2
‘I added three odd numbers and
21 The numbers in this sequence increase by equal amounts each time.
21 The numbers in thiswas
my answer sequence
50’ increase by equal amounts each time.
5
Write in the three missing numbers.
Write in thewhy
Explain threeJulie
missing numbers.
cannot be correct.
21i
21i
1 mark
1 7 1 mark
1 7 21ii
21ii
!
1 mark
1 mark
19
10 1 mark
Write the coordinates of point D.
Write the coordinates of point C.
20
2 Here is a kite.
[2004]
!
What are the coordinates of point C? ( , )
M003553 – 4 September 2014 10:45 AM – Version
20 2
M003553 – 4 September 2014 10:45 AM – Version 2
1 mark
15 22 In this diagram R is an equal distance from P and Q. [1 mark]
mark]
5
22
5 (
In this diagram R is an equal distance from P and Q. , ) 23
[1
[2015]
5
[2015] In this diagram R is an equal distance from P and Q. 1 mark
y [1 mark]
[2015] y
16 Not to
P Not to
scale
30 P 18
30 scale
R
R
5
Q
0 Q x
100
0 100 x
Write the coordinates of point D.
What are the coordinates of point R.
What are the coordinates of R?
What are the coordinates of R?
10
R= (
(
,
, )
) ! 1 mark
20
( , )
22
[1 mark]
mark]
R= 1 mark
[1
22
[1 mark]
1 mark
[1 mark]
[2014]
206 This diagram shows two identical rectangles on coordinate axes.
y diagram shows two identical rectangles on coordinate axes.
(612, 9 ) This
[2014] ( 12, 3 ) B
[2014]
A
y (5, 9) (12, 9) x
A
( 12, 3 ) (5, 9) B (12, 9)
Write the coordinates of point A and point B.
5 x
A
(12, 3) B
x
s of point A and point B.
(12, 3) A is ( B , ) 1 mark
20a
Write the coordinates of point A and point B. x
Write the coordinates of point A and point B.
( ) ( )
20b
, ,
20a
10 A is B is
Write the coordinates of point A and point
1 mark B.
1 mark
A is ( , ) 20a
[2 [2 marks]
marks]
14
10 Here is one side of a square drawn on a coordinate grid. 1 mark
[2010] 7 Here is one side of a square drawn on a coordinate grid.
B is ( , A is
20b
) , ( ) 20a
[2010] y 1 mark 1 mark
( )
20b
7 B is [2 marks] , 1 mark
15 6 [2 marks]
( )
20b
B is , 1 mark
5
[2 marks]
5 4
3
M0084
Page 20
SSM
of 24
2
S3c L5
1
0
0 1 2 3 4 5 6 7 8 9 x
10 1
M0084
20
Page The
SSM
24S3c hasL5a vertex at (6,1 1).
ofsquare
The square has a vertex at (6, 1).
Draw the other three sides of the square on the grid.
M0084
Page 20
SSM
of 24S3c L5
1
Use a ruler.
Draw the other three sides of the square on the grid.
14 [1 mark]
Use a ruler. 1 mark
15 [1 mark]
20
8
y
[2001]
(10, 60)
(20, 20)
A is the point (10, 60)
B is the point (20, 20)
M is the midpoint of line AB.
Write the coordinates of M. 20a
( , )
1 mark
C is on the x-axis, directly below B.
Write the coordinates of C. 20b
( , )
1 mark
[2 marks]
13 Total
9
[2012]
[1 mark]
Sourced from SATs-Papers.co.uk https://www.SATs-Papers.co.uk
23
10 A and B are joined by a straight line on coordinate axes.
[2011]
y
B
(22, 30)
A
(10, 10)
0 x
The dots on the line are equally spaced.
What are the coordinates of C?
23a
1 mark
C is ( , ) 23b
1 mark
[1 mark]
21 Total out of 4
[2006]
9
11 A B, CBand
A,and areDshown
are theonvertices
the grid.
of a rectangle.
11 A, B, C and D are the vertices of a rectangle.
[2006]
[2006] AA
and BB
and are shown
are ononthe
shown thegrid.
grid.
7
6
7
A
5
22 6 fractions below are equivalent.
Two of the
A
5 54
Circle them. B
43
s below are equivalent. B
32
22 Two of the fractions below are equivalent.
22 2
Two of the21fractions below6 are equivalent.
9 10 16
22
Circle them. 3 10 12 15 20
1 mark
1
Circle them.
0 1 2 3 4 5 6 7 8 9
6 9 10 16
10 0 1 2 3 4 5 6 22 7 8 9
10 D 12 2 15
is the point ( 3, 4 ) 6 20 9 10 16
1 mark 22
DDis is
the
3
2 ( 3,(3,4 4)
point
the point ) 6
10 12
9 15
10 20
16 1 mark
22
3
Write the coordinates10
of point C.12 15 20
23
13 ABCDthe
Write is coordinates
a rectangle drawn onC.coordinate axes.
of point 1 mark
Write the coordinates of point C.
[2009]
The sides of the rectangle are parallel to the axes.
( , ) 9
le drawn on coordinate axes. y ( , ) 9
1 mark
15 1323 ABCD is a rectangle drawn on coordinate axes. 1 mark
[1 mark]
[1 mark]
ctangle are parallel to the axes. 13
[1 mark]
10
[2009]
23
13 Here
ABCDisisa anumber
rectangle sentence.
drawn on coordinate
A E to the axes.
12 The sidesisofa the
ABCD rectangle
rectangle are on
drawn parallel
coordinate axes. B
10 Here is a number sentence.
(–10, 8)
[2009] y
[2009] TheThesides ofof
sides the rectangle
the are
rectangle parallel
are to the axes.
y parallel to the axes.
? + 27 > 85 x
A E B ? +y 027 > 85
AD E BC
(– 10, 8) (14, –4)
A
Circle all the numbers E B
0 Circle all the numbers
(–10, 8)
xbelow that make the number sentence correct.
below that make the number sentence correct.
5
0 x
D C
What are the coordinates of D and E?
(14,
D –4) 0 C x 10
30
30 40
40 50
50 6060(14, – 4)7070
10
1 mark
D C
( , )
1 mark
D is 23a
inates of D andWhat
E? are the coordinates of D and E? (14, –4)
1 mark
What are the coordinates of D10and
10 E?
10 WhatDare ( , )
is the coordinates of D and E? E is 23a ( , ) 23b
D is1 mark ( , ) 1 mark
23a
[2[2marks]
marks]
( , )
1 mark
D is
E is ( , ) 21 23b
Total out of 5
23a
E is1 mark ( , ) 1 mark
23b
17
13 The vertices of a quadrilateral have these coordinates.
[2017]
(1, 5) (5, 4) (1, −3) (−3, 4)
One side of the quadrilateral has been drawn on the grid.
Complete the quadrilateral.
Use a ruler.
y
6
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x
–1
–2
–3
–4
–5
–6 1 mark
[1 mark]
F00070A01724 Page 17 of 24
KS2 item template version 1.2
19
14 Here is a shaded square on x and y axes.
[2007]
60
–20 0 80 x
–40
For each of these points, put a tick ( ) to show if it is
inside the square or outside the square.
inside outside
the square the square
( 50, 70 )
( 60, –30 )
( –10, 50 ) 19i
( –30, –30 ) 19ii
2 marks
[2 marks]
18
15
7 Here is a circle with its centre at the point (1, 1)
[2002] The point (1, 7) is on the circumference of the circle.
For each of these points, put a tick ( ) to show if it is
inside the circle, on the circle or outside the circle.
One has been done for you.
inside on the outside
the circle circle the circle
(3, 7)
(7, 1)
(1, –7)
(–2, –2) 7
2 marks
[2 marks]
9 Total
14
16 The diagram shows 6 shaded squares.
[2001]
K is the point (20, 10)
What are the coordinates of L and M ?
L is ( , ) 14a
1 mark
M is ( , ) 14b
1 mark
[2 marks]
11 Total
