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). In which two quadrants is the product x × y positive?
- 3.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 4.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 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.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 7.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 8.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 9.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 10.Which of these points lies in the first quadrant?
- 11.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 12.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.
- 13.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.
- 14.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 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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