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 point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 2.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 3.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 4.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 5.The point B has coordinates (−2, −2). In which quadrant is B?
- 6.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 7.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 8.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.
- 9.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 10.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.
- 11.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 12.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 13.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.
- 14.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 15.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
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