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.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.
- 2.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 3.Which of these points lies in the first quadrant?
- 4.The point B has coordinates (−2, −2). In which quadrant is B?
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 6.The point A lies on the x-axis. Which statement about A must be true?
- 7.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 8.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 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.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 11.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 12.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 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), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 15.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
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