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.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 2.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 3.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 4.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 5.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 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.In which quadrant does the point (−3, 0.5) lie?
- 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.The point A is at (5, −3). In which quadrant does A lie?
- 10.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 11.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 12.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 13.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.
- 14.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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