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). In which two quadrants is the product x × y positive?
- 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.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 4.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 5.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 6.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 7.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 8.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 9.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.
- 10.The point A is at (5, −3). In which quadrant does A lie?
- 11.Work out the distance of the point (−6, 4) from the x-axis.
- 12.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 13.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 14.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 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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