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.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 2.The point A is at (5, −3). In which quadrant does A lie?
- 3.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 4.In which quadrant does the point (−3, 0.5) lie?
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 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 A lies on the x-axis. Which statement about A must be true?
- 8.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 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.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 11.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.
- 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.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.
- 14.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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