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.Which of these points lies in the first quadrant?
- 3.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 4.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 5.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 6.Work out the distance of the point (−6, 4) from the x-axis.
- 7.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 8.In which quadrant does the point (−3, 0.5) lie?
- 9.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 10.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 11.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 12.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.
- 13.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 14.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 15.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
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