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.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 3.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 4.Which of these points lies in the first quadrant?
- 5.In which quadrant does the point (−3, 0.5) lie?
- 6.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 7.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 8.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 9.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 10.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 11.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 12.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.
- 13.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.
- 14.The point A is at (5, −3). In which quadrant does A lie?
- 15.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
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