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.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.
- 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.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 4.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 5.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.
- 6.The point A is at (5, −3). In which quadrant does A lie?
- 7.The point A lies on the x-axis. Which statement about A must be true?
- 8.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 9.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.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 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 D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 13.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 14.Work out the distance of the point (−6, 4) from the x-axis.
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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