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 lies on the y-axis. What can be said about the x-coordinate of that point?
- 2.Which of these points lies in the first quadrant?
- 3.Work out the distance of the point (−6, 4) from the x-axis.
- 4.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 5.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 6.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 7.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 8.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.
- 9.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 11.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 12.In which quadrant does the point (−3, 0.5) lie?
- 13.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.
- 14.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 15.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
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