KS3 maths worksheets › Year 8 › Coordinates Year 8 · Key Stage 3 · free KS3 maths worksheet Coordinates
12 original questions, 33 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
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1 The points A, B, C and D are shown on the grid.
Write down the coordinates of A and B. Write down the coordinates of C and D. −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 O x y A B C D 2 marks Show answer a) A (3, 4), B (-2, 3)b) C (-4, -1), D (2, -3)
2 O is the origin of a coordinate grid.
The point A is 4 units to the right of O and 2 units up from O.
The point B is 3 units to the left of O and 5 units up from O.
Write down the coordinates of A. Write down the coordinates of B. 2 marks Show answer a) (4, 2)b) (-3, 5)
3 Five points P, Q, R, S and T are marked on the grid.
Write down the letter of the point with coordinates
(−3, 2) (4, −1) (0, −3) −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 O x y P Q R S T 3 marks Show answer a) Sb) Qc) T
4 Here are five points.
A (0, 5) B (−3, −2) C (4, 0) D (−1, 6) E (2, −7)
Which point lies on the x -axis? Which point lies on the y -axis? Which point is below the x -axis and to the left of the y -axis? 3 marks Show answer a) Cb) Ac) B
5 The point A is shown on the grid.
Write down the coordinates of A. On the grid, plot the point B with coordinates (−2, 3). On the grid, plot the point C with coordinates (4, 0). −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 O x y A 3 marks Show answer a) (1, -3)b) point plotted at (-2, 3)c) point plotted at (4, 0)
6 A is the point with coordinates (2, 4).
B is the point with coordinates (8, 10).
Work out the coordinates of the midpoint of AB.
2 marks Show answer (5, 7)
7 C is the point with coordinates (−6, 2).
D is the point with coordinates (4, −8).
Work out the coordinates of the midpoint of CD.
3 marks Show answer (-1, -3)
8 PQR is an isosceles triangle with PQ = PR.
P is the point (−1, 5) and Q is the point (−4, −2).
The side QR is horizontal.
Work out the coordinates of R.
−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 O x y P Q 2 marks Show answer (2, -2)
9 A, B and C are three vertices of a parallelogram ABCD.
A is (−4, −1), B is (1, −1) and C is (3, 3).
On the grid, plot the points A, B and C. Work out the coordinates of D. −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 O x y
3 marks Show answer a) A (-4, -1), B (1, -1) and C (3, 3) plottedb) (-2, 3)
10 A is the point with coordinates (1, 3).
M is the point with coordinates (4, 5).
M is the midpoint of the line segment AB.
Find the coordinates of the point B.
3 marks Show answer (7, 7)
11 A treasure map is drawn on a coordinate grid.
The old oak tree is at (−6, 3). The well is at (2, −5).
The treasure is buried exactly halfway between the oak tree and the well.
Work out the coordinates of the treasure. Tom starts at the oak tree. He walks 4 units right and then 7 units down. Is Tom standing on the treasure? You must show how you get your answer. 3 marks Show answer a) (-2, -1)b) No, Tom is at (-2, -4), not (-2, -1)
12 The points P and Q are shown on the grid.
Write down the coordinates of P. Write down the coordinates of Q. Work out the coordinates of the midpoint of PQ. On the grid, draw the line y = −2. −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 O x y P Q 4 marks Show answer a) (-4, 1)b) (2, 5)c) (-1, 3)d) horizontal line drawn through y = -2
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Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.
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