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