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.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.
- 2.The point B has coordinates (−2, −2). In which quadrant is B?
- 3.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 4.The point A lies on the x-axis. Which statement about A must be true?
- 5.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 6.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 7.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 8.Work out the distance of the point (−6, 4) from the x-axis.
- 9.The point A is at (5, −3). In which quadrant does A lie?
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 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.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
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