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 square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 2.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 3.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.
- 4.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 5.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.
- 6.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 7.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 8.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 9.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 10.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 11.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 12.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 13.Work out the distance of the point (−6, 4) from the x-axis.
- 14.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 15.In which quadrant does the point (−3, 0.5) lie?
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