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 A lies on the x-axis. Which statement about A must be true?
- 2.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.
- 3.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.Which of these points lies in the first quadrant?
- 6.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 7.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 8.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 9.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 10.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.
- 11.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 12.Work out the distance of the point (−6, 4) from the x-axis.
- 13.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 14.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 15.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
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