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.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.
- 2.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 3.The point A is at (5, −3). In which quadrant does A lie?
- 4.The point B has coordinates (−2, −2). In which quadrant is B?
- 5.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.
- 6.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 7.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.
- 8.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 9.Which of these points lies in the first quadrant?
- 10.Work out the distance of the point (−6, 4) from the x-axis.
- 11.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 12.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 13.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 14.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.
- 15.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
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