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.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 2.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 3.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 4.The point A is at (5, −3). In which quadrant does A lie?
- 5.The point B has coordinates (−2, −2). In which quadrant is B?
- 6.A park is drawn on a grid in which 1 unit represents 1 km. The car park is at the point (0, 0) and the lake is at the point (3, 5). Work out the direct distance, in km, from the car park to the lake, giving your answer to 1 decimal place.
- 7.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 8.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 9.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 10.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 11.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.
- 12.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 13.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 14.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 15.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.
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