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 triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 3.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 4.In which quadrant does the point (−3, 0.5) lie?
- 5.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.
- 6.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.
- 7.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 8.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 9.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 10.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 11.Work out the distance of the point (−6, 4) from the x-axis.
- 12.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 13.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 14.The point A is at (5, −3). In which quadrant does A lie?
- 15.Which of these points lies in the first quadrant?
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