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.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.
- 4.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 5.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 6.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 7.The point B has coordinates (−2, −2). In which quadrant is B?
- 8.The point A lies on the x-axis. Which statement about A must be true?
- 9.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 10.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 11.Which of these points lies in the first quadrant?
- 12.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 13.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 14.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.
- 15.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
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