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 R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 2.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 3.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 4.The point A lies on the x-axis. Which statement about A must be true?
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 6.Which of these points lies in the first quadrant?
- 7.Work out the distance of the point (−6, 4) from the x-axis.
- 8.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 9.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 10.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.
- 11.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 12.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 13.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.
- 14.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 15.Work out the coordinates of the reflection of (6, −3) in the y-axis.
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