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.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 2.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 3.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 4.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 5.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 6.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 7.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 8.The point A is at (5, −3). In which quadrant does A lie?
- 9.In which quadrant does the point (−3, 0.5) lie?
- 10.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.
- 11.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 12.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.
- 13.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 14.The point A lies on the x-axis. Which statement about A must be true?
- 15.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
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