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.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.
- 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 distance of the point (−6, 4) from the x-axis.
- 5.The point A is at (5, −3). In which quadrant does A lie?
- 6.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 7.In which quadrant does the point (−3, 0.5) lie?
- 8.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 9.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 10.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 11.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 12.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.
- 13.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 14.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 15.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
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