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 (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 2.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 3.Which of these points lies in the first quadrant?
- 4.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 6.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 7.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 8.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.
- 9.The point A is at (5, −3). In which quadrant does A lie?
- 10.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 11.In which quadrant does the point (−3, 0.5) lie?
- 12.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 13.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 14.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 15.Work out the coordinates of the reflection of (6, −3) in the y-axis.
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