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 line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 2.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 3.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.
- 4.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 5.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.
- 6.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 7.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 8.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 9.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 10.Which of these points lies in the first quadrant?
- 11.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 12.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 13.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 14.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 15.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
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