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.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 3.The point A is at (5, −3). In which quadrant does A lie?
- 4.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 5.Work out the distance of the point (−6, 4) from the x-axis.
- 6.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 7.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 8.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 9.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.
- 10.Which of these points lies in the first quadrant?
- 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.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 13.In which quadrant does the point (−3, 0.5) lie?
- 14.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 15.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
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