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 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.
- 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 point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 4.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 5.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 6.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 7.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 8.The point A is at (5, −3). In which quadrant does A lie?
- 9.Work out the distance of the point (−6, 4) from the x-axis.
- 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 D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 12.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 13.The point B has coordinates (−2, −2). In which quadrant is B?
- 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.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.
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