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.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 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.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 4.The point A is at (5, −3). In which quadrant does A lie?
- 5.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 6.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.
- 7.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.
- 8.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 9.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 11.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.
- 12.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 13.Which of these points lies in the first quadrant?
- 14.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 15.Work out the distance of the point (−6, 4) from the x-axis.
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