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.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 3.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.
- 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.Work out the distance of the point (−6, 4) from the x-axis.
- 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.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.
- 9.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 10.The point A is at (5, −3). In which quadrant does A lie?
- 11.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.
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 14.In which quadrant does the point (−3, 0.5) lie?
- 15.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
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