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