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.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.
- 2.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 3.Work out the distance of the point (−6, 4) from the x-axis.
- 4.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 5.Which of these points lies in the first quadrant?
- 6.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 7.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 8.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 9.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 10.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 11.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 12.In which quadrant does the point (−3, 0.5) lie?
- 13.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 14.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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