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.The point A lies on the x-axis. Which statement about A must be true?
- 3.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 4.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 5.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.
- 6.Which of these points lies in the first quadrant?
- 7.Work out the distance of the point (−6, 4) from the x-axis.
- 8.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 9.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 10.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 11.In which quadrant does the point (−3, 0.5) lie?
- 12.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 13.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 14.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 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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