Printable · GCSE Foundation · ages 14-16
Coordinates in all four quadrants worksheet — GCSE Foundation
Fifteen questions on "coordinates in all four quadrants" — DfE statement A8. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Coordinates in all four quadrants worksheet — GCSE Foundation
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- 1.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 2.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 3.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 4.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 5.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 6.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 7.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 8.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 9.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 10.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 11.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 12.The point B has coordinates (−2, −2). In which quadrant is B?
- 13.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 14.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 15.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
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