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 distance of the point (−6, 4) from the x-axis.
- 2.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 3.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 4.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.
- 5.The point B has coordinates (−2, −2). In which quadrant is B?
- 6.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 7.Which of these points lies in the first quadrant?
- 8.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 9.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 10.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 11.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 12.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.
- 13.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.
- 14.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 15.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
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