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