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.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 2.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 3.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.
- 4.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 5.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.
- 6.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 7.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 8.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 9.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 10.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 11.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 12.The point B has coordinates (−2, −2). In which quadrant is B?
- 13.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 14.In which quadrant does the point (−3, 0.5) lie?
- 15.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
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