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 triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 2.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 3.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 4.The point A is at (5, −3). In which quadrant does A lie?
- 5.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 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.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.
- 8.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 9.The point B has coordinates (−2, −2). In which quadrant is B?
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 12.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 13.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 14.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 15.Which of these points lies in the first quadrant?
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