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 D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 2.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.
- 3.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 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.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 6.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 7.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 8.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 9.The point B has coordinates (−2, −2). In which quadrant is B?
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.Work out the distance of the point (−6, 4) from the x-axis.
- 12.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 13.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 14.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.
- 15.The point A is at (5, −3). In which quadrant does A lie?
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