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.In which quadrant does the point (−3, 0.5) lie?
- 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.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 6.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 7.The point A is at (5, −3). In which quadrant does A lie?
- 8.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 9.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 10.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 11.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 12.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 13.Which of these points lies in the first quadrant?
- 14.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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