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 triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 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.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 6.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.
- 7.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 8.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 9.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 10.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 11.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 12.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.
- 13.Work out the distance of the point (−6, 4) from the x-axis.
- 14.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 15.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.
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