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