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.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.
- 2.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 3.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.
- 4.The point B has coordinates (−2, −2). In which quadrant is B?
- 5.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 6.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 7.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 8.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 9.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 11.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.
- 12.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 13.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 14.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 15.The point A is at (5, −3). In which quadrant does A lie?
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